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Temka [501]
3 years ago
8

Is the function g(x)=-x^2 a translation,compression, stretch, or reflection of the parent function, f(x)=x^2

Mathematics
1 answer:
Shtirlitz [24]3 years ago
7 0
Reflection, a -x with be the opposite of x so it’s a reflection over the x axis
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Lcm of (x-2)(x+3) and 10(x+3)^2
Arte-miy333 [17]
Least common multiple: factor them, then see what they have in common and what is leftover and multiply those expressions:

(x - 2)(x + 3)          10(x + 3)(x + 3)
Common: (x + 3)
Leftover: (x - 2), (10), (x + 3)
Common · Leftover is: (x + 3) · (x - 2) · (10) · (x + 3) = 10(x - 2)(x + 3)²

Answer: LCM is 10(x - 2)(x + 3)²


8 0
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Plz show your work. Thx!! <br> 9m=6
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Use Cramer's Rule to solve the following system: –2x – 6y = –26 5x + 2y = 13
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\bf x=\cfrac{D_x}{D}\implies x=\cfrac{&#10;\begin{bmatrix}&#10;\boxed{-26}&-6\\\\ \boxed{13}&2&#10;\end{bmatrix}}{D}\implies x=\cfrac{(-52)-(-78)}{26}&#10;\\\\\\&#10;x=\cfrac{-52+78}{26}\implies x=\cfrac{26}{26}\implies \boxed{x=1}\\\\&#10;-------------------------------\\\\&#10;y=\cfrac{D_y}{D}\implies y=\cfrac{&#10;\begin{bmatrix}&#10;-2&\boxed{-26}\\\\ 5&\boxed{13}&#10;\end{bmatrix}}{D}\implies y=\cfrac{(-26)-(-130)}{26}&#10;\\\\\\&#10;y=\cfrac{-26+130}{26}\implies y=\cfrac{104}{26}\implies \boxed{y=4}
4 0
3 years ago
Find the perimeter of triangle ABC with vertices A(6, 3), B(6, - 2) , and C(- 4, 3) .
anyanavicka [17]

Answer:

26.2 units

Step-by-step explanation:

We are given the points/vertices

A(6, 3),

B(6, - 2) , and

C(- 4, 3)

Step two

Let us find the distances between the given points/vertices

A-B =A(6, 3) to B(6,-2)

d=√((x2-x1)²+(y2-y1)²)

Substitute

d=√((6-6)²+(-2-3)²)

d=√(-2-3)²)

d=√(-5)²)

d=5 units

B-C=B(6, - 2) to C(-4, 3)

d=√((x2-x1)²+(y2-y1)²)

Substitute

d=√((-4-6)²+(3+2)²)

d=√(-10)²+(5)²)

d=√100+25

d=√125

d=11.2 units

C-A=C(-4, 3) to A(6, 3)

d=√((x2-x1)²+(y2-y1)²)

Substitute

d=√((6+4)²+(3-3)²)

d=√(10)²

d=√100

d=10 units

Hence the perimeter is 5+11.2+10

P=26.2 units

4 0
3 years ago
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