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3 years ago

Help with question 17 please

Mathematics

1 answer:

qaws [65]3 years ago

6 0

I believe this is the answer.

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11. Simplify (6x^-2)^2 (0.5x)^4 Show your work

horrorfan [7]

Hope this helps you.

6 0

3 years ago

Read 2 more answers

ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2). Find the coordinates of A' and R

shutvik [7]

Answer:

$A'= (2,-1)$ and $R'=(4,-2)$ under this translation.

Step-by-step explanation:

A translation in $R^{2}$ is a mapping T from $R^{2}$ to $R^{2}$ defined by $T(x,y) = (x + v_1,y+v_2)$ , where $v=(v_1,v_2)$ is a fixed vector in $R^{2}$ .

From the problem we know that $T(2,4)=(3,2)$ , so we need to find the values $v_1$ and $v_2$ such that $T(2,4) = (2 + v_1,4+v_2)=(3,2)$ , so $3=2 + v_1$ and $4+v_2=2$ , thus $v_1=1$ and $v_2=2$ .

Then $T(x,y) = (x + 1,y-2)$ and

$T(1,1)=(1+1,1-2)=(2,-1)=A'$

$T(3,0)=(3+1,0-2)=(4,-2)=R'$

Therefore $A'= (2,-1)$ and $R'=(4,-2)$ . The triangles CAR and C'Q'R' are shown in the figure below.

7 0

3 years ago

Which of the following functions has a vertex of (-4,3) and a line of symmetry of x= -4?

natali 33 [55]

Answer:d

Step-by-step explanation:

4 0

3 years ago

Factor completely, then place the factors in the proper location on the grid.<br> x^2n + 10x^n + 16

postnew [5]

Answer:

$(x^n + 2)(x^n + 8)$

Step-by-step explanation:

The polynomial $x^{2n}+10x^n + 16$ can be factored exactly the same as the polynomial $x^2 + 10x + 16$ . Here it factors into two numbers which multiply to 16 but add to 8. These factors are 8 and 2. So it factors into the expression (x+8)(x+2).