Answer: No solution
Step-by-step explanation:
Ths lines are parallel (as they have the same slope but different y-intercepts), and parallel lines never intersect. Thus, the system has no solutions because the lines never intersect.
In the figure below not drawn to scale. DC is a tangent to the circle. DC = 6cm, AB = 5cm. Calculate BC. (3mks)
Answer:
4
Step-by-step explanation:
DA²= CB×CA
6²= y×(y+5)
36=y²+5y
y²+5y-36=0
x1+x2=-5
x1×x2=36
x1=4
x2=-9
x must be positive, then answer is 4
chek: 4×9=36
Help please, can someone answer.
Answer:
QA) C = 31.4 cm, A = 78.5 cm^2
QB) 36 cm
Step-by-step explanation:
Question A
Circumference formula: 2πr
2π(5) = 31.4 cm
Area formula: πr^2
π(5)^2 = π(25) = 78.5 cm^2
Question B
If you extend the line of the shape to create a quadrilateral and a triangle, you can use the pythagorean theorem to figure out the last length.
9 - 6 = 3
10 - 6 = 4
The lengths of side a and b are 3 and 4, we need to find the length of the hypotenuse
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
5 = c
Now we can combine this number with the rest of the given lengths
10 + 9 + 6 + 6 + 5 = 36 cm
4. Solve: 8−2n−6n=−16
A. n=11
B. n=9
C. n=10
D. n=3
Answer:
D. n=3
Step-by-step explanation:
8-2n-6n= –16
Take 8 to the other side
-2n-6n= -16-8
Solve them
-8n = -24
Take -8 to the other side
[tex]n \: = \frac{ - 24}{ - 8} [/tex]
n = 3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{8 - 2n - 6n = -16}[/tex]
[tex]\huge\textbf{Solving for the answer:}[/tex]
[tex]\mathbf{8 - 2n - 6n = -16}[/tex]
[tex]\huge\textbf{Combine the like terms:}[/tex]
[tex]\mathbf{(-2n - 6n) + 8 = -16}[/tex]
[tex]\mathbf{-2n - 6n + 8 = -16}[/tex]
[tex]\mathbf{-8n + 8 = -16}[/tex]
[tex]\huge\textbf{Subtract \boxed{\bf 8} to both sides:}[/tex]
[tex]\mathbf{-8n + 8 - 8 = -16 - 8}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{-8n = -16 - 8}[/tex]
[tex]\mathbf{-8n = -24}[/tex]
[tex]\huge\textbf{Divide \boxed{\bf -8} to both sides:}[/tex]
[tex]\mathbf{\dfrac{-8n}{-8} = \dfrac{-24}{-8}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{n = \dfrac{-24}{-8}}[/tex]
[tex]\mathbf{n = -24 \div -8}[/tex]
[tex]\mathbf{n = 3}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\textsf{Option D. \boxed{\frak{n = 3}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
If the 6th term of an arithmetic progres- sion is 11 and the first term is 1, find the common difference.
Answer:
2
Step-by-step explanation:
An arithmetic progression with first term a and common difference d has the following first 6 terms:
a, a + d, a + 2d, a + 3d, a + 4d, a + 5d
We are given a = 1 and a + 5d = 11.
1 + 5d = 11
5d = 10
d = 2
Answer: The common difference is 2.
X^2 - 10x - 20 = 0, which number would have to be added to "complete the square"?
Answer:
45
Step-by-step explanation:
When you're completing the square you're adding (b/2)^2 which in this case is (-5)^2 or 25. This is because when you rewrite it as a square binomial you write it in the form (x+(b/2))^2 which is going to result in x^2+b+(b/2)^2. Since you need to reach 25 you need to add 45 since the last value is at -20.
Answer:
25 to both sides
Step-by-step explanation:
Group x² and x terms
(x² - 10x ) - 20
complete the square
(x² - 10x +25 ) -20 -25
(x-5)² -45
8. If a conditional is true and its hypothesis is true, then its_____ is true.
Y = 3x + 10
Y = 2x - 8
find the substitution
Show your work please ill give brainlyest
Answer:
x = -18, Y = -44
Step-by-step explanation:
Since Y = 2x - 8, we can substitute that into the first equation:
2x - 8 = 3x + 10
3x - 2x = -8 - 10
x = -18
Now we plug x = -18 back into the second equation:
Y = 2(-18) - 8
Y = -36 - 8
Y = -44
what is the measure of ∅?
A. 2.5 π radians
B. 2.5 radians
C. 4 radians
D. 5 radians
Answer:
C. 4 radians
Step-by-step explanation:
[tex]20=\frac{\pi (Ctrl.Angle)(5)}{180}[/tex]
Ctrl Angle = ∅
∅ = [tex]\frac{(20)(180)}{5\pi } =\frac{3600}{5\pi } =\frac{720}{\pi }[/tex]
in radians:
∅ = [tex]\frac{720}{180} =4[/tex]
Hope this helps
A Triangle
36 cm
perimeter
square
=40cm
perimeter
put them both together
find the
perimeter?
Answer:
58 cm
Step-by-step explanation:
if both shapes are squares, then the perimeter must be divide by all 4 equal sides
36 / 4 = 9, so each side of the first shape is 9 cm
40 / 4 =10 , so each side of the second shape is 10 cm
by putting the shapes together two of the side seal 1 side of each shape but 10-9 is 1 so add all three sides of the rest of the shape,
so 9+ 9+ 9= 27, then the three side of the second shape,
so 10+ 10+ 10= 30, then that extra 1 cm of difference from the size difference when put together,
so 27+ 30+ 1= 58 cm
Pythagorean Theorem and its Converse
I need number 6
Answer:
x = 14.02 units
Step-by-step explanation:
Finding unknown value using Pythagorean theorem:
This is an isosceles trapezium. The two perpendiculars divide the trapezium into two congruent triangles and a rectangle. Let the base of the triangle by 'y'. We can find the value of 'y' using Pythagorean theorem.
In ΔABC,
AC² = AB² + BC²
19² = 17 ² + y ²
361 = 289 + y ²
361 - 289 = y ²
y ² = 72
y =√72
y = 8.49
x = 31 - 8.49 - 8.49
x = 14.02
Please Help Me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Answer:
(-2, 11) and (2, 3)
Step-by-step explanation:
Given system of equations:
1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3
2) f(x) = -2x + 7 ⇒ y = -2x + 7
Solve Using the Substitution Method:
Step 1: Substitute the the first equation into the second.
⇒ x² - 2x + 3 = -2x + 7
Step 2: Solve for x.
x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]
x² - 2x + 2x + 3 = -2x + 2x + 7
⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]
x² + 3 - 3 = 7 - 3
⇒ x² = 4 [ Take the square root of both sides. ]
√x² = √4
x = ± 2
⇒ x = -2, x = 2
Step 3: Solve for y.
Substitute the found x-values into one of the given equations.
y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11
y = -2x + 7 ⇒ y = -2(2) + 7 ⇒ y = -4 + 7 ⇒ y = 3
The solutions to the system of equations are: (-2, 11) and (2, 3).
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A function that models the profit for a new pet-monitoring system shows that there is no profit made until the price reaches $95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit. Which graph models the function?
The profits at x = $185 is 0 and the graph is attached below:
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Function is to model the profits of a new pet-monitoring system, so, if the profits are y and x then y = f(x)
The curve shows that y is negative at values of x< $95, then the profits increase when x varies between $95 and $140.
The profits reach a maximum at $140 and then the profits start to reduce as x increases again.
So, the profits at x = $185 is 0.
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Answer:
a on edge
Step-by-step explanation:
I js did it
A researcher has a table of data with four-column variables and three-row variables. the value for the degrees of freedom in order to calculate the chi-squared statistic is __________.
The degree of freedom is 6.
What is degree of freedom?The degrees of freedom for the chi-square are calculated using the following formula: df = (r-1)(c-1) where r is the number of rows and c is the number of columns.
Given:
rows= 3
column= 4
So, degree of freedom
= (row-1)(column-1)
=(3-1)(4-1)
=2*3
=6
Hence, the degree of freedom is 6.
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Answer:
The degree of freedom is 6.
Step-by-step explanation:
Got it right on the test.
When the outlier are removed, how does the mean change?
A.
The mean decreases by 3.
B.
The mean increased by 2.
C.
The mean increased by 3.
D.
There are no outliers.
Step-by-step explanation:
hope you can understand
The lines below are parallel. If the slope of the green line is -3, what is the
slope of the red line?
m =
Answer:
m=-3
Step-by-step explanation:
Since the lines are parallel to each other, their gradients are equal.
∴ gradient of green line = gradient of red line
∴ m = -3
Solution: slope=-3
Detailed explanation:
This little problem asks us to find the slope of the line. Let's do this!
[tex]\searrow[/tex]
This is what parallel lines look like:
<------------------------------------------------------------------------------------------------------->
<------------------------------------------------------------------------------------------------------->
The two lines above will never intercept each other.
And that's what parallel lines are - they are lines that never intercept.
They can be vertical, horizontal, or diagonal, it doesn't matter. As long as both of them have the same slope and never intercept each other.
So, since parallel lines have identical slopes, the slope of the red line = slope of the green line (the problem provides us that both lines are parallel)
Slope of the red line = -3
Voila! There's our answer!
Cheers! ^-^__________________________
Hope I helped! Best wishes!
Reach far. Aim high. Dream big.
"reflection"
__________________________
F(x)= (x-2)(x+4)(x+5)What is the sign of f on the interval -4
By evaluating the polynomial, we will see that the sign on the interval [-4, 2] is negative.
What is the sign of f on the interval [-4, 2]?Here we have the polynomial:
f(x) = (x - 2)*(x + 4)*(x + 5).
You can see that the roots of the polynomial are at:
x = 2
x = -4
x = -5.
Then, on the interval [-4, 2], the sign of the polynomial don't change. So to get the sign of f(x) on that interval we can just evaluate it in any value of x that belongs to the interval, for example, x = 0.
f(0) = (0 - 2)*(0 + 4)*(0 + 5) = -2*4*5 = -40
With this, we can conclude that the sign of f(x) on the given interval is negative.
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Answer:
always negative
Step-by-step explanation:
Which of the following expressions are equivalent to - -13/12
A. -13/-12
B. 13/-12
C. None of the above
If is -(-13/12) then A. -13/-12
If is -13/12 then B. 13/-12
[tex]-\dfrac{-13}{12}=\dfrac{-13}{-12}=\dfrac{13}{12}\\\\\dfrac{-13}{12}=-\dfrac{13}{12}=\dfrac{13}{-12}[/tex]
HELPPP i need to find standard form and general form, please help
The equation in slope-intercept form is y = 13/8x -17/8 and the equation in standard form is 13x -8y = 17
Equation of a line
A line is the shortest distance between two points. The equation of a line in slope-intercept form is y = mx + b while as a standard notation is Ax+By = C
Given the coordinate points (-3, -7) and (5, 6)
Determine the slope
Slope = 6-(-7)/5-(-3)
Slope = 13/8
For the y-intercept
6 = 13/8(5) + b
6 = 65/8 + b
b = 6 - 65/8
b = -17/8
The equation in slope-intercept form is y = 13/8x -17/8
Write in standard form
Recall y = 13/8x - 17/8
Multiply through by 8
8y = 13x - 17
-13x + 8y = -17
13x -8y = 17
Hence the equation in standard form is 13x -8y = 17
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Which of the following is a ballistic stretching exercise?
A.
calf stretch
B.
arm circles
C.
yoga plow
D.
hurdle stretch
Answer:
B. Arm circles
Hope you have a great day :)
What are the zeros of f(x) = (x-7)(x - 3)(x - 2)?
07, -3, 2
07, -3, -2
07, 3, 2
07, 3, -2
Answer:
7, 3, 2
Step-by-step explanation:
Answer:
Option C,
07, 3, 2
Step-by-step explanation:
Set all zeros to 0
(x-7)=0
x= 7
(x-3)=0
x= 3
(x-2)=0
x= 2
7, 3, 2
The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Weights of Dogs in Shelter A
2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18.
Weights of Dogs in Shelter B
Which describes the spread of the data in the two box plots?
The range of shelter A is 22. The range of shelter B is 18.
What are the measures of spread?A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. the two lines are known as whiskers. The end of the first line represents the minimum number and the end of the second line represents the maximum number. The range is the difference between the two numbers.
Range of shelter A = 30 - 8 = 22Range of shelter B = 28 - 10 = 18To learn more about box plots, please check: https://brainly.com/question/27215146
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Jej pls help i need my brother help
Answer:
[tex]\mathsf {\frac{17}{10}}[/tex]
Step-by-step explanation:
[tex]\mathsf {2\frac{2}{3} + \frac{14}{5} + ? = \frac{43}{6} }[/tex]
[tex]\mathsf {\frac{8}{3} + \frac{14}{5} + ? = \frac{43}{6} }[/tex]
Take the LCM (common denominator) to be 30.
[tex]\mathsf {\frac{80}{30} + \frac{84}{30} + ? = \frac{215}{30} }[/tex]
Bring the known values to the RHS.
[tex]\mathsf {? = \frac{215}{30} - \frac{164}{30} }[/tex]
[tex]\mathsf {? = \frac{51}{30}}[/tex]
[tex]\implies \mathsf {\frac{17}{10}}[/tex]
Let that be x
2 2/3=8/3Now
[tex]\\ \rm\rightarrowtail \dfrac{8}{3}+\dfrac{14}{5}+x=\dfrac{43}{6}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{40+42}{15}+x=\dfrac{43}{6}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{82}{15}+x=\dfrac{43}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{43}{6}-\dfrac{82}{15}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{215-164}{30}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{51}{30}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{17}{10}[/tex]
[tex]\\ \rm\rightarrowtail x=1\dfrac{7}{10}[/tex]
A box has 1 red marble, 1 blue marble, and 4 green marbles of the same shape and size. dan draws a marble randomly from the box, replaces it, and then draws another marble randomly. what is the probability of drawing two green marbles in a row? explain your answer.
[tex]|\Omega|=6^2=36\\|A|=4\cdot3=12\\\\P(A)=\dfrac{12}{36}=\dfrac{1}{3}\approx33.3\%[/tex]
Answer: 1/5
Step-by-step explanation:
There are three kinds of Marbles. (M) marbles
(G) green: 4m
(R) red: 1m
(B) blue: 1m
Dan pulled a green marble out leaving
(G) green: 3m
So, the probability of picking a green marble is 1/5
sorry if I'm wrong/correct me if I'm wrong.
What is the first step to solving the function below?
Answer:
option B, -(4x - 3)(x - 2)
Step-by-step explanation:
-4x^2 + 11x - 6
4x * x = 4x^2
x * -3x = -3x
-4x * -2 = -8x
-3 * -2 = -6
At the beach, Nardia collected triple the number of seashells that Pierre did. Together, they collected 52 seashells. Which equations represents p, the number of seashells that Pierre collected. O 3p+p-52 52+p-3p At the beach , Nardia collected triple the number of seashells that Pierre did . Together , they collected 52 seashells . Which equations represents p , the number of seashells that Pierre collected . O 3p + p - 52 52 + p - 3p
Answer:
If Nardia is N and Pierre is P an equation that would represent this problem is 52-3n=p
5.)(2x + 8) - (4y + 1)
6.)-5x * (3x^2 - 2x - 1)
5) 2x + 8 - 4y - 1 = 2x - 4y + 7
6) -5x(3x² - 2x - 1) = -15x³ + 10x² + 5x
What is the initial value of the function represented by this table?
Answer: 3
________________________________
initial value = starting value when x is 0
as you can see when x is 0 y is 3
so your initial value is 3
________________________________
Hoped this helped.
Find the original price of a pair of shoes if the sale price is 9$ after a 75% discount
Answer:
Original price=$12
Step-by-step explanation:
First set that up as an equation
9/a=75/100
Now cross multiply
75a=900
Then divide 75 from both sides for original price
75a/75=900/75
a=12
There's your answer
Hope this helped :)
Which set of graphs can be used to find the solution set to 3e* > >-x?m
The green-colored area of the graph attached below shows the solution set to 3eˣ>(-1/2)x.
Inequality is the relationship between two expressions showing the relationships like greater than, lesser than, lesser than equals to, and greater than equals to.
Here assume f is a function which is given by f(x)=3eˣ
and g be another function which is given by g(x)= (-1/2)x
Here we have to find the solution graph showing the relationship
f(x) > g(x)
Let at point (a,b) the f(x) and g(x) meet each other.
After that intersection point, g(x) will decrease as g(x) is a decreasing function. and f(x) will increase.
So in the solution set will contain the area where g(x) is larger than f(x).
Therefore the solution graph of this inequality is the green-colored area as shown below,
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Help me please, i am dum
a) 50<x<60
b) 20<x<30
idek