I need help to solve the equation

Answer:

The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159

Step-by-step explanation:

The vertex form of the quadratic equation y = ax² + bx + c is

y = a(x - h)² + k, where

Let us use the facts above to solve the question

∵ y = x² + 24x - 15

∵ a is the coefficient of x² and b is the coefficient of x

∴ a = 1 and b = 24

∵ h is the x-coordinate of the vertex point

∵ h = [tex]\frac{-b}{2a}[/tex]

→ Substitute the values of a and b to find h

∴ h = [tex]\frac{-24}{2(1)}=\frac{-24}{2}[/tex]

∴ h = -12

→ To find k substitute y by k and x by h

∵ y = k and x = h

∴ k = (-12)² + 24(-12) - 15 = 144 - 288 - 15

∴ k = -159

∴ The coordinates of the vertex point are (-12, -159)

→ Substitute the values of a, h, and k in the vertex form above

∵ y = 1(x - -12)² + (-159)

→ Remember (-)(-) = (+) and (+)(-) = (-)

∴ y = (x + 12)² - 159

∴ The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159

Answer:

sure.

Step-by-step explanation:

you so funny

Step-by-step explanation:

Answer: Please provide statements.

Step-by-step explanation:

Answer:

The maximum is (-1, 6).

The line of symmetry is x = -1.

Step-by-step explanation:

those two

Answer:

I can't see the fourth option, but the answer would be C.

Step-by-step explanation:

It's the only graph that fits the question.

Answer:

(0, 5) and (6, 0)

Step-by-step explanation:

please mark brainliest and have a great day

Answer:

1 hour and 42 min

Step-by-step explanation:

Answer: -1/2 and 1/3

Step-by-step explanation:

Answer:

<1=63°

<2=49°

<3=87°

<4=44°

Step-by-step explanation:

<1=180-68-49=63°

<2=49°

<3=180-93=87°

<4=180-49-87=44°

Answer:

What is the question from both?

Answer:

(4,2) for the first one

(2,-1) for the second one

to get the answers I got, equate Both

Answer:

Its B.

Step-by-step explanation:

Emath.com- Parabola calculator

Answer: The length of JF = 16 units.

Step-by-step explanation:

Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.

i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]

If  EJ is 3y-8 and JF is 7y-40.

Then, [tex]3y-8=7y-40[/tex]

[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]

JF= 7(8)-40 =56-40= 16 units

Hence, the length of JF = 16 units.

Answer:

plz giv brainlist

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer: 12 red 9 blue

Step-by-step explanation:

Answer: 364 m squared

Step-by-step explanation:

to find the surface area of a rectangular prism, you must do width*length + hight*length + height*width

Answer:

It would be r= 0.9974.

The closer the r value is to 1 or -1 the stronger it is.

Positive and negative are just determining what "side" its on.

Let me know if this helps!

Answer:

Name: alternate exterior angles

Relationship: they are congruent. (15x + 5)° = (14x + 11)

Value of x: 6

Missing angle measures: 95°

Answer:

i think yes the order pair of (8,48) satisfy the direct equation y=6x

Step-by-step explanation:

Answer:

The angle of CAD is 100°.

Step-by-step explanation:

Given that total angles in a triangle is 180° so you will have to find the angle of CAB :

∠CAB + ∠ACB + ∠ABC = 180°

∠CAB + 80° + 20° = 180°

∠CAB + 100° = 180°

∠CAB = 180° - 100°

∠CAB = 80°

Next, you have to subtract it from 180° because straight line have a degree of 180°

∠CAD = 180° - 80°

∠CAD = 100°

Explanation:

With displacement, all we care about is the beginning and end. We don't care about the middle part(s) of the journey. So we'll take the straight line route from beginning to end when it comes to computing displacement.

We start at A(0,0) and end at B(-2,0). Going from A directly to B has us go 2 km west. Keep in mind that displacement is a vector, so you must include the direction along with the distance.

Answer:

c

Step-by-step explanation:

Answer:

There are 30 questions

Step-by-step explanation:

70%=21

70%÷7=10%

21÷7=3

10%=3

10%×10=100%

3×10=30

Hope this helped :)

Answer:

d<150

Step-by-step explanation:

Answer:

When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

Step-by-step explanation:

i did it

Answer:

hello my name is alyssa what abt you I just have to answer questions to message someone to go off on them

Answer:

The domain is all real numbers

Step-by-step explanation:

There aren't any restrictions like a square root, an even exponent, or a denominator. If you ever get stuck, feel free to use something like the Desmos graphing calculator to graph out the equation.

Answer:

what's the question?..

Answer:

dumb dumb

Step-by-step explanation:

Answer:

$215.26

Step-by-step explanation:

717.53*30%= $215.26

Answer:

It's the bottom one.

Step-by-step explanation:

number one makes no snese because inside of you there is no light

number two, heat and thermal are the same thing

number three, there isn't really potential energy inside you, not in the process of the energy transformation of food.

The bottom one makes the most sense because if you think about all of the steps, it goes chemical (stomach acid), there is also some heat in there, and then mechanical when the food moves from place to place

Answer:

The answer is D

Step-by-step explanation: