F(x)=x^2
Translated to the right 8 units: h(x)=(x-8)^2
and down 7 units: g(x)=(x-8)^2-7
Answer: Option D. g(x)=(x-8)^2-7
Answer:
4
Step-by-step explanation:
Let's call the width W and the length L.
We know the width is 3 less than the length, so:
W = L - 3
And we know the area is 28, so:
28 = WL
If we solve for L in the first equation:
L = W + 3
And substitute into the second equation:
28 = W (W + 3)
28 = W² + 3W
0 = W² + 3W - 28
0 = (W + 7) (W - 4)
W = -7, 4
Since W can't be negative, W = 4 units.
Answer:
shape V -----> 90° counterclockwise
shape II ------> 90° clockwise
shape III -----> translation
shape IV -----> 180° rotation
Answer:
x = 0
Step-by-step explanation:
i) x - 11 + 1 < 15
x - 10 < 15
x < 10 + 15
x < 25
ii) x - 11 + 1 > 15
x - 10 > 15
x > 25
Therefore to compare (i) and (ii)
25 < x < 25
In any case, x = 0
<h3>Factor –3y – 18 is: -3(y + 6)</h3>
<em><u>Solution:</u></em>
Given that we have to factor -3y - 18
Use the distributive property,
a(b + c) = ab + bc
From given,
-3y - 18
Factor out the greatest common factor of 3 and 18
The factors of 3 are: 1, 3
The factors of 18 are: 1, 2, 3, 6, 9, 18
Then the greatest common factor is 3
Factot out 3 from given expression
-3y - 18 = 3( - y - 6)
Or else we can rewrite as,
-3y - 18 = -3(y + 6)
Thus the given expression is factored
