Find the x-intercept(s) and the coordinates of the vertex for the parabola =y−x2−4x5. If there is more than one x-intercept, separate them with commas. x-Intercept(s):
Vertex:

x-intercepts -1, 5.

Vertex is at (2, -9).

Step-by-step explanation:

y = x^2 - 4x - 5

Completing the square:

y = (x - 2)^2 - 2^2 - 5

y = (x - 2)^2 - 9   which is vertex form.

So the coordinate of the vertex are (2, -9).

Finding the x-intercepts:

(x - 2)^2 - 9 = 0

(x - 2)^2 = 9

x - 2 = +/- 3

x =  3 + 2  or -3+2

= 5, -1.

12cm

the answer is d

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.