The matching of the probability will be:
Flip a coin 3 times and get heads every time. = 1/8.
Flip a coin to get tails up and roll a number cube to get an even number. - 1/4
Roll a number cube and get a 4 and 5 - 1/36
Draw an ace and then a 7 from a deck of cards with replacement - 1/169.
How to calculate the probability?Flip a coin 3 times and get heads every time will be:
= (1/2)³
= 1/8.
Flip a coin to get tails up and roll a number cube to get an even number will be:
= 1/2 × 3/6
= 3/12
= 1/4
Roll a number cube and get a 4 and 5 will be:
= 1/6 × 1/6
= 1/36
Draw an ace and then a 7 from a deck of cards with replacement is 1/169.
Learn more about probability on:
https://brainly.com/question/24756209
#SPJ1
Which statement is logically equivalent to the following conditional statement?
"If it is a rectangle, then it does not have exactly three sides."?
O If it has exactly three sides, then it is not a rectangle.
O If it is not a rectangle, then it has exactly three sides.
O If it does not have exactly three sides, then it is a rectangle.
O If it is not a rectangle, then it does not have exactly three sides.
The equivalent statement is:
" If it has exactly three sides, then it is not a rectangle."
Which statement is logically equivalent to the conditional statement?The given conditional statement is:
"If it is a rectangle, then it does not have exactly three sides"
A logically equivalent statement is any statement that has the same truth values than the above one.
For a conditional:
If P, then Q,
An equivalent statement is:
if Not Q, then Not P.
So a equivalent statement to the given one is:
"If it has exactly three sides, then it is not a rectangle."
If you want to learn more about conditional statements:
https://brainly.com/question/11073037
#SPJ1
Answer: A: If it has exactly three sides, then it is not a rectangle.
Step-by-step explanation: Hope that helped
A fair coin is tossed 29 times. what is the probability that at most 27 heads occur?
Answer:
0.99999994412
Step-by-step explanation:
You want the probability at most 27 heads occur in 29 tosses of a fair coin.
ProbabilityThe probability is found using a suitable calculator to find ...
P(X ≤ 27) ≈ 0.99999994412
for 29 trials with a probability of success of 1/2 on each trial using the binomial distribution.
__
Additional comment
We checked this value by also finding the probability of 28 or 29 heads in 29 trials, then subtracting the sum of those from 1.
<95141404393>
How do you solve 9=x+3/5 when the x and 3 are together above the five?
Answer:
x = 42
Step-by-step explanation:
9*5 = x+3/5*5
45 - 3= x+3 - 3
42 = x
UR WELCOME
Someone please help.
In a trivia game, each correct answer is worth 10 points in the first round, 15 points in the second round, and 25 points in the third round. You score 370 points by answering 24 questions correctly. You score 55 more points in the third round than you do in the first round, How many questions do you answer correctly in each round?
The questions answered in each round was 12 in the first round, 5 in the second round and 7 in the third round.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the questions in the first round, y represent that of the second round and z represent that of the third round.
You score 370 points by answering 24 questions correctly:
x + y + z = 24 (1)
Also:
10x + 15y + 25z = 370 (2)
And:
25z = 10x + 55 (3)
From the three equations:
x = 12, y = 5, z = 7
The questions answered in each round was 12 in the first round, 5 in the second round and 7 in the third round.
Find out more on equation at: https://brainly.com/question/13763238
#SPJ1
PLEASE HELP ME!!! THIS IS TOO HARD!!! Emily runs 2,000 feet away from her house, and she ran back. How many miles did she run in total.
Answer: 4000
Step-by-step explanation: 2000 there and 2000 back. 2000+2000=4000
Hope this helps!
5. A city has a population of 350,000.
The
population has decreased by 30% in the past
ten years. What was the population of the city
ten years ago?
The population of city 10 years ago before 30% decrease in population was 500,000
In the given statement is :
A city has a population of 350,000.The population has decreased by 30% in the past ten years.
The formula for calculating the percent change between two values over the time is given by:
[tex]p=\frac{A-B}{B}[/tex]×[tex]100[/tex]
where,
'p' represents the percent change
'A' represents the New value
'B' represents the Old value
Since, p is the percent (decreased) = -30
Substitute the given values and solve for B;
then;
[tex]-30=\frac{350,000-B}{B}[/tex] × 100
Divide both sides by 100 we get;
[tex]-0.3=[/tex] [tex]\frac{350,000-B}{B}[/tex]
By cross multiply we get;
-0.3B = 350,000 - B
Add both sides B, we get
-0.3B + B = 350,000
0.7B = 350,000
Divide both sides by 0.7 we get;
B = 500,000
Therefore, The population of city 10 years ago before 30% decrease in population was 500,000
Learn more about Population at :
https://brainly.com/question/28454544
#SPJ1
Find the coordinates of the midpoint of the segment with the endpoints (5, 24) and
(-1, 10).
A chemist is heating water so it can dissolve a larger amount of sodium chloride. The water's temperature increases 7°C each minute from an initial temperature of 21°C. How long will it take for the water to reach 49°C? Write and solve an equation to find the answer.
The time taken by the water to reach 49 degree Celsius is 4 minutes.
According to the question, larger amount of sodium chloride is dissolved in the heating water. And the given data states that the water temperature increases 7 degree Celsius every minute.
Initial temperature of water is 21 degree Celsius.
Let us assume, water reaches at 49° C after 'm' minutes.
As per question, every minute temperature increases as 7°C. So, the expression can be written as: (21 + 7m)°C
⇒ 21 + 7m = 49
⇒m = 4 minutes.
Hence, the time taken to reach 49° C is 4 minutes.
What is temperature?
Temperature defines the atmosphere hotness. And it is expressed in different scales as well as in different parameters like Celsius etc. It is measured through the device known as thermometer.
To learn more about the temperature based problems from the given link:
https://brainly.com/question/25677592
#SPJ1
203X12 estimate to check for reasonableness
2436 ≈ 2400 is the estimate products of 203X12 .
What is estimate products?
Round the numbers to some nearby figures that you can mentally multiply to estimate the product of multiplication. Rounding all variables to the biggest digit (place value) they have is one way to estimate values.Example -Estimation is frequently accomplished through sampling, which involves counting a small sample of a given thing and extrapolating that number to a wider population. Calculating how many sweets of a certain size are contained in a glass jar is an example of estimation.203X12
= 2436
We can take compatible numbers
200 × 12
2400
So, 2436 ≈ 2400
Learn more about estimate products
brainly.com/question/19169594
#SPJ9
5x-48=-3x+8 solve for x
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
[tex]5x + 3x = 8 +48[/tex]
⬇️
8x = 8 + 48
⬇️
8x = 56
Divide both sides of the equation by the coefficient of the variable;
[tex]x = \frac{56}{8}[/tex]
Cross out common factors;
[tex]x=7[/tex]
Amy is paddling her canoe across a lake at a speed of 10 feet per second headed due north. The wind is blowing 40°C east of north with a velocity of 2.8 feet, per second. What is Amy's resultant velocity? Express your answer as a vector. Show your work.
The resultant velocity is about 12.3 feet per second at a heading of 8.4°east of north, <1.8, 12.14>
In this question,
Amy is paddling her canoe across a lake at a speed of 10 feet per second headed due north.
The wind is blowing 40°C east of north with a velocity of 2.8 feet, per second.
We need to find Amy's resultant velocity.
We write the direction vector for Amy in component form.
Due north is equivalent to 90° from the horizontal.
x-component:
x = 10 cos(90°)
x = 0
And y-component:
y = 10 sin(90°)
y = 10
The component form for Amy’s vector is <0, 10>.
Now we write the direction vector for wind in component form.
40 east of north is equivalent to 50° from the horizontal.
x-component:
x = 2.8 cos(50°)
x = 1.8
And y-component:
y = 2.8 sin(50°)
y = 2.14
The component form for the wind’s vector is <1.8, 2.14>
Add the vectors for Amy and the wind.
<0, 10> + <1.8, 2.14> = <1.8, 12.14>
Now, we determine the vector's magnitude by using Pythagoras theorem.
Let v be the velocity of Amy.
Let θ be the angle made by Amy with the horizontal
⇒ tan(θ) = |y/x|
⇒ tan(θ) = |12.14 / 1.8|
⇒ θ = 81.6°
81.6° with the horizontal is equivalent to 8.4° east of north.
Therefore, the resultant velocity is about 12.3 feet per second at a heading of 8.4°east of north, <1.8, 12.14>
Learn more about the resultant velocity here:
https://brainly.com/question/15093278
#SPJ4
If f + j = 115 and j+k= 103 what is the value of j
The value of j is j = 103 - k = 115 - f.
A collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized. In everyday life, systems of equations are used to model problems when the unknown values can be represented by variables.
Consider the two equations,
f + j = 115 ----------------------(1)
j + k = 103 ----------------------(2)
Consider equation (2),
j + k = 103
Subtracting k from each side of the equation.
j + k - k = 103 - k
j = 103 - k
Consider equation (1),
f + j = 115
Subtraction f from each side of the equation,
f + j - f = 115 - f
j = 115 - f
Learn more about equation here:
https://brainly.com/question/2972832
#SPJ1
A is between points B and C. AB = 2x - 3, BC = 7x - 10, and AC = 32.
What is the value of x?
The value of the x in a linear equation is 7.8.
According to the statement
We have to find that the value of x.
So, For this purpose, we know that the
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
From the given information:
A is between points B and C. AB = 2x - 3, BC = 7x - 10, and AC = 32.
It means
BC = BA + AC
Then we have to substitute the values in it
Then
BC = BA + AC
7x - 10 = 2x - 3 + 32
7x - 2x = -3 +32+10
5x = 39
here the values of the x is a
x = 39/5.
x = 7.8
So, The value of the x in a linear equation is 7.8.
Learn more about linear equation here
https://brainly.com/question/4074386
#SPJ1
You make $7.25/hr and your boss
promises at least 3 hours but no
more than 18 hours per week.
Payroll (FICA) taxes of 7.65% are
withheld from your paycheck.
Be sure to deduct your tax
Payroll (FICA) taxes of the question is 0.2295
According to the given data,
Payroll (FICA) taxes is 7.65%
boss promises at least 3 hours but no more than 18 hours per week.
then we get, 3 × 0.0765
= 0.2295
therefore, payroll taxes from your paycheck and to deduct tax
0.2295
SHARE
All About the FICA Tax
If you earn a wage or a salary, you’re likely subject to Federal Insurance Contributions Act taxes. Not to be confused with the federal income tax, FICA taxes fund the Social Security and Medicare programs. Also known as payroll taxes, FICA taxes are automatically deducted from your paycheck. Your company sends the money, along with its match (an additional 7.65% of your pay), to the government. In this article we’ll discuss what FICA taxes are, how they’re applied and who’s responsible for paying them.
Planning your finances goes beyond just taxes. Find a local financial advisor today.
FICA Taxes: The Basics
Every payday, a portion of your check is withheld by your employer. That money goes to the government in the form of payroll taxes. There are several different types of payroll taxes, including unemployment taxes, income taxes and FICA taxes. Two types of taxes fall under the category of FICA taxes: Medicare taxes and Social Security taxes.
Paying FICA taxes is mandatory for most employees and employers under the Federal Insurance Contributions Act. The funds are used to pay for both Social Security and Medicare.
If you own a business, you’re responsible for paying Social Security and Medicare taxes, too. For self-employed workers, they’re referred to as SECA taxes (or self-employment taxes) based on regulations included in the Self-Employed Contributions Act.
A wage base limit applies to employees who pay Social Security taxes. This means that gross income above a certain threshold is exempt from this tax. The wage limit changes almost every year based on inflation. In 2021, it was $142,800. For 2022, the limit rose to $147,000. This income ceiling is also the maximum amount of money that’s considered when calculating the size of Social Security benefits.
Medicare taxes, on the other hand, don’t have a wage limit. But there’s an Additional Medicare Tax that high-income individuals must pay. That has been the case since January 1, 2013.
The Additional Medicare Tax rate is 0.90% and it applies to employees’ (and self-employed workers’) wages, salaries and tips. So any part of your income that exceeds a certain amount gets taxed for Medicare at a total rate of 2.35% (1.45% + 0.90%). That income ceiling for 2021 and 2022 is $200,000 for single filers, qualifying widows and anyone with the head of household filing status; $250,000 for married couples filing joint tax returns and $125,000 for couples filing separate tax returns. You can calculate how much you owe using Form 8959.
To learn more about Payroll taxes visit here : brainly.com/question/9497135
#SPJ1
Find 1, 305 x 81. Then estimate to check your answer.
A. 1, 305 x 81 = 85, 705 Check: 1,000 × 8 = 80,000
B. 1, 305 x 81 = 105, 705. Check: 1,400 x 90 = 12, 600 :
C. 1,305 x 81 = 105, 705 Check: 1, 200 × 80 = 96,000
D. 1, 305 x 81 105, 705 Check: 1,300 x 80 = 104, 000
the estimate of the product is reasonable and the values are Estimate: 1,305 × 81 ≈ 104,000 and Actual 1,305 × 81 = 105,706
The correct option is D.
In the given statement is:
Find 1, 305 x 81. Then estimate to check your answer.
The estimate of the product is reasonable and the values are Estimate: 1,305 × 81 ≈ 104000 and Actual 1,305 × 81 = 105706
How to estimate and then compute the product check that your answer is reasonable?
The product expression is given as
1,305 × 81
As an estimate, we have
1305 = 1300
81 = 80
So, we have:
1,305 × 81 ≈ 1300 * 80
Evaluate the product
1,305 × 81 ≈ 104000
For the actual product, we have
The estimate and the actual product both approximate to 100000
Hence, the estimate of the product is reasonable and the values are Estimate: 1,305 × 81 ≈ 104,000 and Actual 1,305 × 81 = 105,706
The correct option is D.
Read more about Estimation at:
https://brainly.com/question/19848531
#SPJ1
If the measure of angle 1 = (7x-19), and the measure of angle 2 = (x+5) find the measure of angle 2
We can say that if the measure of angle 1 = (7x-19), and the measure of angle 2 = (x+5), then the measure of angle 2 is 18°.
Define supplementary angle.
Supplementary angles are those two angles whose sum is always equal to 180 degrees.
Mathematically, a supplementary angle is calculated as follows:
Q + R = 180
Since the angles on this line segment are supplementary angles, we have:
Angle (1) + Angle (2) = 180° - Angle 3
Substituting the given values into the formula, we get;
7x - 19 + x + 5 = 180 - 90
8x - 14 = 90
8x = 90 + 14
8x = 104
x = 104/8
x = 13
Now, we can calculate the length of angle 2 by putting the 'x' value:
Angle 2 = x + 5
Angle 2 = 13 + 5
Angle 2 = 18°
If you need to learn more about angle click here;
https://brainly.com/question/25716982
#SPJ4
Identify the property illustrated by the equation.
5+(-5)=0
Identify the property illustrated by the equation.5+(-5)=0 Additive Inverse
What is an additive Inverse ?
The number that produces zero when added by -a is known as the additive inverse of a number, or a, in mathematics. The opposite, a shift in the sign, and negation are other names for this number.The definition of the additive inverse, which permits a wide application to mathematical objects other than numbers, is its inverse element under the binary operation of addition.Double additive inverse has no net effect, as with any inverse operation: −(−x) = x.To learn more about additive inverse, refer:
https://brainly.com/question/3402614
#SPJ4
20 POINTS
If f(x) = x - 5, what is the value of x when f(x) = 15?
10
20
5
0
Answer: The value of x is 20.
Algebraic function :
Given function is,
We have to find the value of x when
The value of x is 20.
Step-by-step explanation: hope this helps
What are the coordinates of the vertices of the image after a 90-degree counter-
clockwise rotation about the origin?
3+
(2, 3)
2+
4
(-3,-1)
1 0
1
2.
1
3
(2, -1)
+X
4
triangle
Answer:
(-3, 2), (1, -3) and (1, 2)
Step-by-step explanation:
When a point (x, y) is rotated 90° counterclockwise rotation new coordinates become (-y, x)
Thus the negative of the original y coordinate becomes the new x coordinate and the original x coordinate becomes the y coordinate
( 2, 3) -----> (-3, 2)
(-3, -1) -----> (1, -3)
( 2, -1) -----> ( 1, 2)
What is f(-3) for the function f(x)=-3 x+6 ?
The value of f(-3) is 15.
The given function is f(x) = -3x+6. Now, f(-3) = x = -3
Substituting and Evaluating the value of x in the equation f(x) = -3x+6, we get
f(-3) = -3(-3)+6f(−3)=−3(−3)+6
f(-3) = 9+6f(−3)=9+6
f(-3) = 15f(−3)=15
∴ The value of f(-3) for the function f(x) = -3x+6 is equal to 15.
Know more about Functions:
https://brainly.com/question/1620828
#SPJ4
find the volume of the object.
please HURRY
Answer: Total volume= 71.21 in^3
Step-by-step explanation:
The volume of the sphere= (4/3)*π*(2^3) = 33.51 in^3
The volume of the cylinder= π*(2^2)*3 = 37.7 in^3
Total volume= 71.21 in^3
This question is incomplete
Porfabor ayuda con esto de matemáticas
Answer: A; $9; B; D
Step-by-step explanation:
1. 480➗6 = 80%
2. 36➗4= $9
3. 0.85 x 20= 17
4. 28➗2 = 14
14 x 6= 84
Which is the first step in simplifying the expression 2(x 3) 5? 2x 2(3) 5 2x 3 5 2 x 3 5 2(5) x 3
The first step in simplifying the expression 2(x+3)+5 = 2x+2(3)+5.
Given expression in 'x' is 2(x+3)+5.
In order to simplify this expression, we need to expand it by opening the parenthesis. That is, we need to distribute 2 over (x+3) first. For this we multiply 2 into (x+3) and then only we can add 5 to it.
So, 2(x+3) +5 = 2x + 2(3) +5
= 2x +6 +5
= 2x+11
Learn more about simplifying expressions at https://brainly.com/question/723406
#SPJ4
Coordinates of the y- intercept
Answer:
(0, - 9 )
Step-by-step explanation:
the y- intercept is where the line crosses the y- axis
the line crosses the y- axis at (0, - 9 ) and is the y- intercept
I WILL MARK BRAINLIST!!! PLEASE HELP ITS MATH QUESTION Determine the approximate value of x using basic trigonometry.
Thank you so much for helping !
Step-by-step explanation:
I'm not sure but this is the solution hehe
PLS PLS HELP ME THIS
Answer:
Yes
Step-by-step explanation:
Points D and E are on plane F.
Write a coordinate proof to prove the Centroid Theorem.
Given: Δ A B C , medians AR, BS , and CQ
Prove: The medians intersect at point P and P is two thirds of the distance from each vertex to the midpoint of the opposite side.
If Δ ABC , medians AR, BS , and CQ then the value of AP = 2/3 AR,
BP = 2/3 BS, and CP = 2/3 CQ.
What is meant by Centroid Theorem?The triangle's centroid is the point where the three medians intersect. According to the centroid theorem, the centroid is 23 times the distance from each vertex to the midpoint of the opposite side.
Given: ΔABC, medians AR, BS, and CQ
AP = 2/3 AR, BP = 2/3 BS, and CP = 2/3 CQ.
Slope of [tex]$\overline{A R}=\frac{3 c}{3 b+3 a}=\frac{c}{b+a}$[/tex]
Slope of [tex]$\overline{B S}=\frac{6 c}{6 b-3 a}=\frac{2 c}{2 b-a}$[/tex]
Slope of [tex]$\overline{C Q}=\frac{3 c}{3 b-6 a}=\frac{c}{b-2 a}$[/tex]
AR contained in the line [tex]$y=\left(\frac{c}{b+a}\right) x[/tex], BS contained in the line [tex]$y=\left(\frac{2 c}{2 b+a}\right)(x-3 a)[/tex], CQ contained in the line [tex]$y=\left(\frac{c}{b-2 a}\right)(x-6 a)$[/tex]
To find the coordinates of P, find the intersection point of two medians, BS and CQ.
[tex]$y=\left(\frac{2 c}{2 b-a}\right)(x-3 a) \text[/tex] and [tex]$y=\left(\frac{c}{b-2 a}\right)(x-6 a)[/tex]
[tex]$\frac{2 c}{2 b-a}(x-3 a) &=\frac{c}{b-2 a}(x-6 a) \\[/tex]
simplifying the above equation, we get
[tex]2 c(x-3 a)(b-2 a) &=c(x-6 a)(2 b-a) \\[/tex]
[tex]2 c\left(b x-2 a x-3 a b+6 a^2\right) &=c\left(2 b x-a x-12 a b+6 a^2\right)[/tex]
[tex]2 b c x-4 a c x-6 a b c+12 a^2 c &=2 b c x-a c x-12 a b c+6 a^2 c \\[/tex]
[tex]-3 a c x &=-6 a b c-6 a^2 c \\[/tex]
x = 2b + 2a
To find the value of y,
[tex]$y=\frac{2 c}{2 b-a}(x-3 a)[/tex]
simplifying the above equation, we get
[tex]$=\frac{2 c}{2 b-a}(2 b+2 a-3 a)[/tex]
[tex]$=\frac{2 c(2 b-a)}{2 b-a}=2 c$$[/tex]
So the coordinates of P are (2b + 2a, 2c).
Now, show that P is on AR.
[tex]$&y=\left(\frac{c}{b+a}\right)(2 b+2 a)=\frac{2 c(b+a)}{b+a}=2 c[/tex]
Thus, the three medians intersect at the same point.
To find the lengths of AR, AP, BS, BP, CQ, and CP
Using the Distance Formula.
[tex]A R &=\sqrt{\left((3 b+3 a)-0^2\right)+(3 c-0)^2} \\[/tex]
simplifying the above equation, we get
[tex]&=\sqrt{(3(b+a))^2+(3 c)^2} \\[/tex]
[tex]&=\sqrt{9\left((b+a)^2+c^2\right)} \\[/tex]
[tex]&=3 \sqrt{(b+a)^2+c^2} \\[/tex]
[tex]A P &=\sqrt{\left((2 b+2 a)-0^2\right)+(2 c-0)^2} \\[/tex]
[tex]&=\sqrt{(2(b+a))^2+\left(2 c^2\right)} \\[/tex]
[tex]&=\sqrt{4\left((b+a)^2+c^2\right)} \\[/tex]
[tex]&=2 \sqrt{(b+a)^2+c^2}[/tex]
[tex]B S &=\sqrt{(6 b-3 a)^2+(6 c-0)^2} \\[/tex]
[tex]&=\sqrt{(3(2 b-a))^2+(3(2 c))^2} \\[/tex]
[tex]&=\sqrt{9(2 b-a)^2+9(2 c)^2} \\[/tex]
[tex]&=3 \sqrt{(2 b-a)^2+4 c^2}[/tex]
[tex]B P &=\sqrt{(6 b-(2 b+2 a))^2+(6 c-2 c)^2} \\[/tex]
[tex]&=\sqrt{(4 b-2 a)^2+(4 c)^2} \\[/tex]
[tex]&=\sqrt{(2(2 b-a))^2+(2(2 c))^2} \\[/tex]
[tex]&=2 \sqrt{(2 b-a)^2+4 c^2} \\[/tex]
[tex]C Q &=\sqrt{(6 a-3 b)^2+(0-3 c)^2} \\[/tex]
[tex]&=\sqrt{(3(2 a-b))^2+(-3 c)^2} \\[/tex]
[tex]&=\sqrt{9\left((2 a-b)+c^2\right)} \\[/tex]
[tex]&=3 \sqrt{(2 a-b)^2+c^2} \\[/tex]
[tex]C P &=\sqrt{(6 a-(2 b+2 a))+(0-2 c)^2} \\[/tex]
[tex]&=\sqrt{(4 a-2 b)^2+(-2 c)^2} \\[/tex]
[tex]&=\sqrt{(2(2 a-b))^2+4 c^2} \\[/tex]
[tex]&=\sqrt{4(2 a-b)^2+4 c^2}[/tex]
Show that the P is two thirds of the distance from the vertices to the midpoints.
[tex]$\frac{2}{3} A R &=\frac{2}{3}\left(3 \sqrt{(b+a)^2+c^2}\right) \\[/tex]
[tex]&=2 \sqrt{(b+a)^2+c^2} \\[/tex] = A P
[tex]$\frac{2}{3} B S &=\frac{2}{3}\left(3 \sqrt{(2 b-a)^2+4 c^2}\right) \\[/tex]
[tex]$&=2 \sqrt{(2 b-a)^2+4 c^2} \\[/tex] = B P
[tex]$\frac{2}{3} C Q &=\frac{2}{3}\left(3 \sqrt{(2 a-b)^2+c^2}\right) \\[/tex]
[tex]&=2 \sqrt{(2 a-b)^2+c^2} \\[/tex] = C P
Therefore, AP = 2/3 AR, BP = 2/3 BS, and CP = 2/3 CQ.
To learn more about Centroid Theorem refer to:
brainly.com/question/24246680
#SPJ4
please answer correctly and ignore the bottom ill do that part just the top for you guys and gals please!
Answer:
7) x ≥ -3
8) x < -8
Explanation:
[tex]\sf If \ u^n < a, \ then -\sqrt[n]{a} < u < \sqrt[n]{a}[/tex][tex]\sf If \ u^n > a, \ then \ u < -\sqrt[n]{a} \ \ or \ \ u > \sqrt[n]{a}[/tex]7.[tex]\sf -3(2x-7) \leq 39[/tex]
distribute
[tex]\sf -6x + 21 \leq 39[/tex]
relocate variables
[tex]\sf -6x \leq 39-21[/tex]
simplify
[tex]\sf -6x \leq 18[/tex]
dividing both sides by (-), changes the inequality sign
[tex]\sf x \geq -3[/tex]
8.[tex]\sf 4x + 9 < x - 15[/tex]
collect like terms
[tex]\sf 4x -x < - 15-9[/tex]
simplify
[tex]\sf 3x < - 24[/tex]
divide both sides by (+)3
[tex]\sf x < -8[/tex]
what is the slope of a line parallel to line 9x+3y=2
please help :
i need help please
Y=CD-8 for C
Answer:
c = (y+8)/d
Step-by-step explanation:
