A triangle ABC with vertices A(0, 0), B(0, 4), and C(6, 0) is dilated to form a triangle A'B'C' with vertices A′(0, 0), B′(0, 10), and C′(15, 0). If the center of dilation is point A or A' (the origin), then

$\dfrac{A'B'}{AB}=\dfrac{A'C'}{AC}.$

Since

AB=4;
A'B'=10;
AC=6;
A'C'=15,

then the scale factor of the dilation is

$k=\dfrac{10}{4}=\dfrac{15}{6}=2.5.$

3 0

3 years ago

Y+2=-5/4(x-4) what is the slope

lord [1]

Because Point Slope Form contains m, or slope, in itself, look at the number that is multiplying the parentheses.

-5/4 is m, or slope.

4 0

3 years ago

Which of the binomials below is a factor of this trinomial? ---- PLS EXPLAIN FOR ME?

Dennis_Churaev [7]

To factor this notable trinomial, you have to find two numbers that summes give -5 and multiplied give 6*(-25) = -150

Then let's call n1 and n2 the two numbers and a the number before x^2 (6)

ax^2+sx+fn = (ax + n1)(x + n2/a)

Numbers are -15 and +10

-15+10 = -5
-15*10 = -150

So

(6x-15)(x + 10/6)

Or write it as a sum

6x^2 + 10x - 15x - 25

And factor

6x^2 + 10x = 2x(3x+5)

-15x-25 = -5(3x+5)

(2x-5)(3x+5)

5 0

4 years ago

Read 2 more answers