Answer:
ii
Step-by-step explanation:
A c A u B
B c A
Aç n Bc = Ac
What do you need to be explainer
Answer:
y = -2x - 5
Step-by-step explanation:
<u>1) Find the slope of the line.</u>
The slope of the original line is the same as the slope of the parallel line.
Slope formula:
In this case you can choose any 2 set of points on the table.
= 
= 
= -2
So the slope of the line is -2
<u>2) Use the point-slope formula to find the equation of the line.</u>
Point-slope formula:
Now plug in the point (0, -5) and the slope -2 into the equation.
y - (-5) = -2(x - 0)
y + 5 = -2(x - 0)
To solve the equation first apply the distributive property.
y + 5 = -2x + 0
y + 5 = -2x
Next, subtract 5 from sides.
y = -2x - 5
You know have your equation in point-slope form!
Answer:
The base = 8 cm and the altitude = 4 cm.
Step-by-step explanation:
b = a + 4 where b = base and a = the altitude.
Area = 1/2 * a * b = 16
Area = 1/2 * a * (a + 4) = 16
1/2 a^2 + 2a = 16
a^2 + 4a - 32 = 0
(a + 8)(a - 4) = 0
a = 4 .
b = 4+4 = 8.
Answer:
I think Jenny had more consistent scores
Hey there!!
Equations given :
y = x² - x - 20 -------- ( 1 )
y = 3x - 15 ------------ ( 2 )
Now, lets first solve for the 1st equation ...
... x² - x - 20
We can write -x as -5x + 4x
... x² + 4x - 5x - 20
... x ( x + 4 ) - 5 ( x + 4 )
... ( x - 5 ) ( x + 4 )
y = ( x - 5 ) ( x - 4 )
Now, let's solve the second equation ...
y = 3x - 15
... y = 3 ( x - 5 )
We have two equations, now getting them together..
3 ( x - 5 ) = ( x - 5 ) ( x - 4 )
Divide by x-5 on both sides
3 = x - 4
Add 4 on both sides
x = 7
The value of x is 7
Now substituting this, we get the value of y
We have,
y = 3x - 15
... y = 3(7 ) - 15
... y = 21 - 15
... y = 6
Hence, the ordered pair is ( 7 , 6 )
Hope my answer helps!
