Answer:
- 5
Step-by-step explanation:
Substitute the given values into the expression
ax + by
= (- 2 × 1) + (3 × - 1)
= - 2 + (- 3)
= - 2 - 3
= - 5
Answer:
<u>h = 24 cm</u>
Step-by-step explanation:
The triangles are similar.
Their dimensions are proportional.
Finding scale factor :
Finding h :
- h + h/2 = 36
- 3h/2 = 36
- 3h = 72
- <u>h = 24 cm</u>
A=h/2(a+b)
A=h/2a+2b
A(2a+2b)=h
Answer: Choice A
y = -3(x+2)^2 + 10
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Work Shown:
y = -3x^2-12x-2 is in the form y = ax^2+bx+c with
a = -3
b = -12
c = -2
The x coordinate of the vertex is
h = -b/(2a)
h = -(-12)/(2*(-3))
h = 12/(-6)
h = -2
We'll plug this into the original equation to find the corresponding y coordinate of the vertex.
y = -3x^2-12x-2
y = -3(-2)^2-12(-2)-2
y = 10
So k = 10 is the y coordinate of the vertex.
Overall, the vertex is (h,k) = (-2,10)
Meaning that we go from this general vertex form
y = a(x-h)^2 + k
to this
y = -3(x - (-2))^2 + 10
y = -3(x+2)^2 + 10
You can round 49 to 50 and you can round 162 to 200.
You know that 5 * 2 = 10, so 50 * 200 must be 1000. You just add the zeroes.
