All categories

2 years ago

Can you help with #21 please. I will mark Brainliest.

Mathematics

2 answers:

Leokris [45]2 years ago

7 0

Answer:

A, C, E

Step-by-step explanation:

By analyzing the graph, we can see that the roots are $-2$ and $-4$ .

We now want to find all equations of the form $(x-(-2))(x-(-4))=(x+2)(x+4)=0$ .

This immediately gives C as 1 answer.

We can expand our equation to find other possible solutions!

By the FOIL method: $(x+2)(x+4)=(x)(x)+(2)(x)+(4)(x)+(2)(4)=x^2+6x+8=0$

We can then divide both sides of the equation to find that $-x^2-6x-8=0$ , so A is another answer.

We can complete the square on $x^2+6x+8$ to find the last possible solution.

$x^2+6x+8=x^2+6x+9-9+8=x^2+6x+9-1=(x+3)^2-1=0$ .

We can then multiply both sides of the equation by $4$ to find that $4(x+3)^2-4=0$ , so E is the last answer.

The proof that the other answers don't work is left as an exercise.

So, the answers are A, C, and E, and we're done!

tamaranim1 [39]2 years ago

4 0

Answer:

its going to be letter b because 2 and 4 well the x intercepts those

Step-by-step explanation:

You might be interested in

12. Write the equation of a parabola with vertex at<br> (2, -3) and focus at (2,5),

Tatiana [17]

Step-by-step explanation:

The basic form of equation:

(x-h)²=4a(y-k),

(h,k)=coordinates of vertex

(h, k+a) = coordinate of focus

For given parabola:

axis of symmetry: x=2

(h, k) =(2,-3)

(h, k+a)=(2,5)

k+a=5

-3+a=5

a=8(distance from vertex to focus on the axis of symmetry)

equation: (x-2)²=4×8(y+3)

(x-2)²= 32(y+3)

7 0

3 years ago

What is the square root of 75 in the simplest form

lesantik [10]

Answer:

$5\sqrt{3}$

Step-by-step explanation:

$\sqrt{75} = \sqrt{5^{2}*3} =5\sqrt{3}$

8 0

3 years ago

Read 2 more answers

You are constructing triangle ABC given the line segments AB and AC and ∠A. The first thing you do is copy segment AC. Next, you

kondaur [170]

Answer:

C) Copy AB

Step-by-step explanation:

The general idea is that you copy one segment, then the angle (so you know which direction the other segment goes), then the second segment. Finally, you connect the ends of the segments to complete the triangle.

The given description says you've done the first two parts of this, so you must mark off the length of segment AB in the direction you just constructed. That is, you must ...

Copy AB.

_____

In the attached figure, the construction did segment AB first, and is about to do segment AC next. The idea is the same. Swap points B and C in your mind to match the description in the problem statement.