Answer:
4 < x < 14
Step-by-step explanation:
The third side is between the difference and the sum of the other two sides
9-5 < x < 9+5
4 < x < 14
What is the slope of the line represented by the equation y-6 = 5(x - 2)?
Answer & Step-by-step explanation:
The equation for slope-intercept form is y=mx+b
In order to solve this problem, we can just solve the equation to find y.
y - 6 = 5(x - 2)
Distribute 5 to (x - 2)
y - 6 = 5x - 10
Add 6 to both sides of the equation.
y = 5x - 4
So, the slope of the line is 5.
The required slope of the line m = 5
What is the slope of the line represented by the equation y-6 = 5(x - 2)
What is line?
line, is curve showing the shortest distance between 2 points.
Given line y-6 = 5(x - 2)
standard equation of line = [tex]y-y_1=m(x-x_1)[/tex]
compare the standard equation of line with standard equation
m=5
Thus, The required slope of the line m = 5
learn more about lines here:
brainly.com/question/2696693
#SPJ2
What is the area of a circle that has a radius of 16.25? USE 3.14 FOR PI!!!!
DO NOT ROUND.
Answer:
730.61664
Step-by-step explanation:
area equals πr2=π·15.252≈730.61664
Answer:
829.15625 units squared
Step-by-step explanation:
The formula for area is A= 3.14 * (r^2). 16.25^2 is 264.0625. 3.14 * 264.0625 is 829.15625.
which equation represents the function on the graph?
Answer:
the answer would be c the
third option
If the circumference of a circle is 484 cm, what is the area and diameter
Answer:
[tex]18641.50 \: cm^2\\154.06 \: cm[/tex]
Step-by-step explanation:
[tex]C=\pi d[/tex]
[tex]484=\pi d[/tex]
[tex]\frac{484}{\pi } =d[/tex]
[tex]d=154.06198[/tex]
[tex]A=\pi r^2[/tex]
[tex]\pi (\frac{d}{2}) ^2[/tex]
[tex]\pi (\frac{154.06198}{2}) ^2[/tex]
[tex]A=18641.49898[/tex]
Answer:
The area of the circle is approximately 18641.5 because you need to round to the nearest place value. The diameter of the circle is approximately 154.06.
Step-by-step explanation:
Area=πr2
Circumference=2πr
Solving for Area
Area= C²/4 π = 484²/4·π ≈ 18641.50017
———————————————————————————
Circumference =2πr
Diameter= πr
Solving for Diameter
Diameter= C/π = 484/π≈ 154.06198
What is the y-intercept of the line perpendicular to the line y = -3/4 x + 5 that includes the point (-3, -3)?
Answer choices =
-3/4
1
7
-21/4
Answer:
y= -3/4
Step-by-step explanation:
The y-intercept of the line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point (-3, -3) is, 1
The equation of a line in point-slope form passing through the points
[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] with slope m is defined as;
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Given that,
The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point
(-3, -3).
Let us assume that the slope of perpendicular lines is m₁ and m₂.
Hence,
[tex]m_1 \times m_2 = - 1[/tex]
Here, The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex]
The equation of perpendicular line is,
[tex]y = \frac{-3}{4} x + 5[/tex]
Slope = [tex]\frac{-3}{4}[/tex]
Hence, the slope of the line is,
[tex]m = \frac{- 1}{\frac{-3}{4} }[/tex]
[tex]m = \frac{4}{3}[/tex]
Since, the line includes the point (-3, -3).
Hence, the equation of the line with slope [tex]m = \frac{4}{3}[/tex] includes the point (-3, -3) is,
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
⇒ [tex]y - (- 3) = \frac{4}{3} (x - (- 3))[/tex]
⇒ [tex]y + 3 = \frac{4}{3} (x +3)[/tex]
Multiply by 3 on both sides,
⇒ [tex]3 (y + 3) = 4 (x + 3)[/tex]
⇒ [tex]3y + 9 = 4x + 12\\[/tex]
⇒ [tex]3y = 4x + 3[/tex]
⇒ [tex]y = \frac{4}{3} x + 1[/tex]
So, the y-intercept is, 1
To learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ4
there are 50 cards in a pack and each card is either red or black
the ratio of the number of red cards to the number of black cards 1:1
10 black cards are removed from the pack
find the ratio of the number of red cards in the pack to the number of black cards in the pack
Give your answer in its simplest form
Please show your working out
Step-by-step explanation:
Ratio Red to Black is 1:1
Therefore, Red and Black has 25 cards respectively
If 10B cards are removed, then 25-10=15B cards left
Current ratio Red to Black is 25:15 and simplest form is 5:3
Factor the expression given below. Write each factor as a polynomial in
descending order. Enter exponents using the caret (^). For example, you
would enter x2 as x^2.
343x3 + 216y3
Answer:
(7x +6y)(49x^2 -42xy +36y^2)
Step-by-step explanation:
The factoring of the sum of cubes is a special form:
a³ +b³ = (a +b)(a² -ab +b²)
We recognize the given expression as a sum of cubes, so we can use this pattern to factor it.
Identifying the cubesFrom our memory of the cubes of small numbers (or from the cube root function of our calculator), we can identify the terms as ...
343x³ +216y³ = (7x)³ +(6y)³
ApplicationOur factoring pattern above can be used with ...
a = 7xb = 6ySubstituting these values, we have ...
343x³ +216y³ = (7x)³ +(6y)³ = (7x +6y)((7x)² -(7x)(6y) +(6y)²)
343x³ +216y³ = (7x +6y)(49x² -42xy +36y²)
I NEED HELP ASAP:(
Use the commutative or associative property to simplify the expression.
-1/7(9x)
Answer:
i think it is -9x/7
Step-by-step explanation:
In a plane, line b is parallel to line f, line f Is parallel to line g, and line h is perpendicular to line b. Which of the following cannot be true?
hif
bih
bllg
GIlh
One leg of a right triangle is 21 inches longer than the other leg, and the hypotenuse is 39 inches.
Find the lengths of the legs of the triangle
Answer:
One leg - 15 inches
Second leg - 36 inches.
Step-by-step explanation:
One leg - x inches.
Second leg - (x + 21) inches.
Hypotenuse - 39 inches.
Using Pythagorean theorem
x² + (x + 21)² = 39²
x² + x² + 2*21x + 21² = 39²
2x² + 42x - 39² + 21² = 0
2x² + 42x - 1080 = 0
x² + 21x - 540 = 0
(x - 15)(x + 36) = 0
x = 15, x = - 36
We can use only positive value.
One leg - x inches = 15 inches
Second leg - (x + 21) inches = 15+21=36 inches.
You need 3 sticks of butter for every 24 cookies you bake.
Complete the table using equivalent ratios.
Answer: 8
Step-by-step explanation:
there is no table
Find f(2) and f(a + h) when f(x) = 3x^2 + 2x + 4
Answer:
[tex]f(2)=20\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]
Step-by-step explanation:
[tex]f(x)=3x^2 + 2x + 4[/tex]
[tex]f(2)=3(2)^2 + 2(2) + 4\\f(2)=3(4)+ 2(2) + 4\\f(2)=12+ 4+ 4\\f(2)=20[/tex]
[tex]f(a+h)=3(a+h)^2 + 2(a+h) + 4\\f(a+h)=3(a+h)(a+h) + 2(a+h) + 4\\f(a+h)=3a^2+3ah+3ah+3h^2+2a+2h+4\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]
Answer:
f(2) = 20
f(a+h) = 3a²+6ah+3h²+2a+2h+4
Step-by-step explanation:
f(x) = [tex]3x^2+2x+4[/tex]
A) Putting x =2
=> f(2) = 3(2)²+2(2)+4
=> f(2) = 12+4+4
=> f(2) = 20
B) Putting x = a+h
=> f(a+h) = 3(a+h)²+2(a+h)+4
=> f(a+h) = 3a²+6ah+3h²+2a+2h+4
|x|-13=-3 solve the equation
Answer:
[tex]x=10\\x=-10[/tex]
Step-by-step explanation:
[tex]|x|-13=-3\\|x|=-3+13\\|x|=10[/tex]
[tex]x=10\\x=-10[/tex]
Answer:
[tex]x=\pm 10[/tex]
Step-by-step explanation:
[tex]\mid x \mid -13=-3[/tex]
Add 13 to both sides:
[tex]\mid x \mid=10[/tex]
[tex]x=\pm 10[/tex]
Hope this helps!
Hello can someone please help me ASAP
Answer:
A.
Step-by-step explanation:
[tex]m^2+n^2=p^2[/tex] because the Pythagorean Theorem is [tex]leg^2+leg^2=hypotenuse^2[/tex]
Answer:
A
Step-by-step explanation:
Since p is the hypotenuses it's supposed to be the biggest measure so the m and n should equal the hypotenuses when both are squared
what do you think that ADA has explicit regulations on slopes and ramps?
Answer:
I think that the ADA (Americans with Disabilities Act) has explicit regulations on slopes and ramps so that people with disabilities can go about their daily life easier, and to guarantee the safety and wellbeing of the disabled. If, for instance, a wheelchair ramp were too steep, there would be a danger of the wheelchair rolling down too quickly, or the person falling backward on their way up.
A box of 120 crayons contains variations of three
colors: blue, red, and purple. The ratio of blue
crayons to red crayons is 11:2, and the ratio of the
number of red crayons to purple crayons is 2:7. If
all of the purple crayons were removed, how many
crayons would be left in the box?
E. 16
F. 42
G. 78
H. 113
Answer:
G. 78
Step-by-step explanation:
Blue to red=11:2
Red to purple=2:7
Total crayons =120
Total ratio
=11+2+7
=20
Blue=11
Red=2
Purple=7
Purple crayons
=Ratio of purple /Total ratio× Total crayons
=7/20×120
=42
If all the purple crayons were removed
=Total crayons - purple crayons
=120-42
=78
what is the inverse of the function y=4x+5
Answer:
the answer for this question is (y-5)/4=x
Santana went for a hike on the 21 mile South Boundary Trail. If she can hike2 miles
in 60 minutes, how long will it take her to hike the entire trail?
Draw a diagram to support your thinking and demonstrate your understanding. Be sure
to show all of your work.
Answer:
It will take santana 630 minutes or 10.5 hours to complete the 21 miles.
Step-by-step explanation:
[tex]\frac{2}{60\\}[/tex] [tex]\frac{21}{y}[/tex] y is what you are trying to find multiple her miles by the number of minutes and then divided by how many miles in 60 min.Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given the circle area A = 25π cm2 and Θ = straight pi over 4 Your answer: 20straight pi fraction numerator 5 pi over denominator 4 end fraction fraction numerator 4 pi over denominator 5 end fraction fraction numerator 10 pi over denominator 4 end fraction
Answer:
s = 5/4 pi
Step-by-step explanation:
A = 25π cm2
Theta = pi/4
A = pi r^2 = 25 pi
Divide each side by pi
r^2 = 25
Taking the square root of each side
sqrt(r^2) = sqrt(25)
r = 5
The arc length is
s = r * theta where theta is in radians
s = 5 * pi/4
s = 5/4 pi
Colleen is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf?
Answer:
The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yarn, r, that Colleen uses when knitting a scarf is:
b = 2.5 ror
b = 5r/2Step-by-step explanation:
In the exercise are given the variables that we must use in the equation: b and r, where b is the amount of blue yarn and r is the amount of the red yarn, now it's just missing the proportion that must be used in the equation, to identify this you only must divide the biggest amount (45) by the smallest amount (18), how I show below:
Proportion = 45/18 = 2.5 or 5/2Having this, you can make the equation taking into account the proportion:
b = 2.5 rThis equation marks that by each piece of blue yarn, are needed 2.5 pieces of red yarn, we can prove the equation replacing the r-value by 18:
b = 2.5 r b = 2.5 (18) b = 45How you can see, replacing the r-value by 18, the value given for red yarn, we obtain the value given for the blue yarn: 45.
Answer:
b = 2.5 r
or
b = 5r/2
Pleasee help I am being timed
Answer:
A: 33.5
B: 24.5
Step-by-step explanation:
Answer:add the cost for all the books for answer one and for number 2 subtract 9 from the total of answer 1.
Step-by-step explanation:
Kiwi and Corn got into an argument over if 1.75 was a reasonable estimate for 6. Do you think 1.75 was a reasonable estimate for 6? Why or why not?
Answer:
No, it is not.
Step-by-step explanation:
comparing the two given values, 1.75 and 6, estimating 1.75 for 6 is not reasonable. This is due to the fact that converting 1.75 to the nearest whole number gives 2 which is far away from 6. Since,
6 - 2 = 4
So, estimating 1.75 for 6 would involve a large value of error. Which make it unreasonable. It would have been more reasonable to estimate 1.75 for 2.
Graph the inequality.
3x + 4y <4
In the box below, describe the graph.
Answer:
y < 1 - (3x)/4
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
y < 1 − 3 x /4
the graph is partially shaded. the shade crosses through (0,1) and (1,0). I hope you can figure that out :)
Twenty-two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs. Of the catalogs, 36 percent were for clothing. To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog? 8% 28% 46% 61%
Answer:
28%
Step-by-step explanation:
Given that
The calculation of probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog is shown below:-
Remaining of large pieces of mail were catalogs
= 100% - 22%
= 78%
Now, we will solve the equation to find out the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog
[tex]= \frac{36}{100}\times \frac{78}{100}\times 100[/tex]
[tex]= \frac{2,808}{10,000}\times 100[/tex]
= 28.08%
or
28%
Answer:
28%
Step-by-step explanation:
identify the parts of the expression then write a word expression for the numerical or algebraic expression.
Please explain and only answer if you are completly sure about your answer.
Due in 20 minutes!!!!
Answer:
the answer is-
Step-by-step explanation:
b added to 12 times x.
the plus sign is given for addition and 12x is equivalent to 12×x or 12 timesc
Kassy is traveling to Peru for her summer vacation. She looks at a map of the path of her flight. Her plane leaves from Texas, located at(5, 16) on the map’s coordinate grid, makes a stop at the halfway point, Panama, and then heads to its destination, Peru, located at(7, 8) on the map’s coordinate grid. Find the location of Panama on Kassy’s map. Enter as a coordinate with no spaces.
Answer:
(6,12)
Step-by-step explanation:
Use the mid point formula to find the answer. Add the first x value to the second and divide by two for your x midpoint, then add the first y value to the second y value and divide by two for your y midpoint.
If the line segment AB is on a number line, and point A is at 4 and Point B is at 19, then the length of AB is ____. Select one: a. 15 b. - 15 c. 23 d. 12
Answer: 15
Step-by-step explanation:
If two points are together, then you subtract the numbers to get the distance
19 - 4 = 15
PLEASE ANSWER THIS, ITS DUE TODAY!! *100 POINTS*
Answer:
B. Spread
Step-by-step explanation:
Evaluate the following expression.
6
Step-by-step explanation:
first change it to fraction
1/6
use long division method to simplify
you will get
0.66666666666
leave your answer in 2 place decimal
0.167
If two coins are flipped, what is the probability that both coins will not land on heads?
0%
25%
50%
75%
Will mark as brainliest!
Answer:
50%
is the probability of this question
Answer:
25%
Step-by-step explanation:
We have 4 choices when flipping two coins, HH, HT, TH and TT where H and T are heads and tails respectively. The only option where both coins will not land on heads is TT so the probability is 1/4 = 25%.
