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3 years ago

Factor this polynomial 8a^2+2a-6

Mathematics

1 answer:

Naddik [55]3 years ago

7 0

2(4a^2 +a +3)
Factor out the 2

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Triangle ABC is transformed to obtain triangle A′B′C′:

Lisa [10]

Answer:

Option C is right.

Step-by-step explanation:

Given is a graph with two triangles marked on it.

Triangle ABC is in the I quadrant with vertices (2,2) (2,10) and (8,12)

Triange A'B'C' is in the III quadrant with vertices (-1,-1), (-1,-5) and (-4,-6)

On comparison we find corresponding side of AB is A'B'

Length of AB = 8 and Length of A'B' = 4.

Hence A'B'C' is obtained by dilating ABC by a scale factor of 1/2.

Now since moved to III quadrant from I quadrant we find that there is a rotation of triangle ABC about the origin. The degree of rotation is 180 degrees.

Hence A'B'C' is obtained by dilating ABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees

8 0

2 years ago

PLEASe help 30POINTS What is the length of segment AB ?

lesya692 [45]

Answer:

$\sqrt{74}$

Step-by-step explanation:

Distance between two points

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$\textsf{let}\:(x_1,y_1)=(2,-6)$

$\textsf{let}\:(x_2,y_2)=(7,1)$

$d=\textsf{length of segment AB}$

Substituting points into the distance formula and solving for d:

$\implies d=\sqrt{(7-2)^2+(1-(-6))^2}$

$\implies d=\sqrt{5^2+7^2}$

$\implies d=\sqrt{25+49}$

$\implies d=\sqrt{74}$

7 0

1 year ago

Read 2 more answers

If x=3 what is the value of y in this equation?

inn [45]

Answer:

$\displaystyle \large{y=36}$

Step-by-step explanation:

We are given the equation $\displaystyle \large{y=12x}$ . To find y-value when or at x = 3, simply substitute x = 3 in which gives us $\displaystyle \large{y=12(3)}$ then evaluate the value as we obtain the y-value or final answer to the question: