Answer:x=1
Step-by-step explanation:
y=y
y = -x + 10
y = 7x + 2
-x+10=7x+2
10=8x+2
8=8x
x=1
Answer:
y = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 1,2) and (x₂, y₂ ) = (4, y)
m = 
, hence
= - 
( cross- multiply )
5(y - 2) = - 20 ( divide both sides by 5 )
y - 2 = - 4 ( add 2 to both sides )
y = - 2
coordinates of point are (4, - 2)
Answer:
13
Step-by-step explanation:
Estimate 5.89 to 6.
5.89 ≈ 6
Estinate 7 1/12 to 7.
7.083 ≈ 7
Estimate the sum.
7 + 6 = 13
Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the 3 sides of the triangle.
Sum the sides and equate to 54, that is
3x + 4x + 5x = 54, that is
12x = 54 ( divide both sides by 12 )
x = 4.5
Thus
AB = 3x = 3 × 4.5 = 13.5 in
BC = 4x = 4 × 4.5 = 18 in
AC = 5x = 5 × 4.5 = 22.5 in
Answer:
y = -2x^2(x - 3)
Step-by-step explanation:
<em><u>Preliminary Remark</u></em>
If a cubic is tangent to the x axis at 0,0
Then the equation must be related to y = a*x^2(x - h)
<em><u>(3,0)</u></em>
If the cubic goes through the point (3,0), then the equation will become
0 = a*3^2(3 - h)
0 = 9a (3 - h)
0 = 27a - 9ah
from which h = 3
<em><u>From the second point, we get</u></em>
4 = ax^2(x - 3)
4 = a(1)^2(1 - 3)
4 = a(-2)
a = 4 / - 2
a = -2
<em><u>Answer</u></em>
y = -2x^2(x - 3)
