Question 3
1 pt
Use factoring to find the coordinates of the vertex of the graph
of x² + 8x + 12 = 0

Factored equation ( , )( , )

What is the Coordinates of vertex:( , )

Answers

Answer 1

Answer:

(x+6)(x+2) is the factored equation

(-6, -2) is the coordinates

Step-by-step explanation:

find what multiplies to be 12 and adds to be 8

set each factor equal to 0 and solve for x, which is the coordinates

Answer 2

(x+6)(x+2) is the factored equation

(-6, -2) is the coordinates

What is factored equation?

The factored equation could be considered as the  Quadratic Equation that should be lies in the standard form. The equation in which the factors are computed is known as the factored equation.

Since the equation is

x² + 8x + 12 = 0

So here

the factored equation be (x+6)(x+2) and the coordinates is (-6,-2)

Learn more about an equation here: https://brainly.com/question/19006235


Related Questions

Choose the two number sentences that are true.
A. 4+8= 11 + 1
B. 14 +1 = 8 + 6
C. 16–5= 3 + 8
D. 15 – 7=6+3
E. 17 -9= 19 – 12

Answers

the first one and C are right

A wall is 15 ft. High and 10 ft. From a house. Find the length of the shortest ladder which will just touch the top of the wall and reach a window 20.5 ft. Above the ground.

Answers

Answer:

the length of the shortest ladder is 11.41 feet

Step-by-step explanation:

The computation of the length of the shortest ladder is shown below:

AB^2 = AC^2 + BC^2

AB^2= (10)^2 + (5.5)^2

AB^2= 100 + 30.25

AB^2 = 130.25

AB = 11.41 feet

hence, the length of the shortest ladder is 11.41 feet

Two girls are standing 100 feet apart. They both see a beautiful seagull in the air between them. The angles of elevation from the girls to the bird are 20° and 45°, respectively. How high up is the seagull? Round to three decimal places. Show your work

Answers

Answer:

Like pretty high but also are the girls hot?

Step-by-step explanation:

What is the slope of the line shown in the graph?
A)
0
B)
undefined
C) -3
D)- -1/3

Answers

Answer:

A) = 0

Step-by-step explanation:

That slope is A), 0 because it is neither increasing or decreasing

Someone help me with the last question please! Free brainliest

Answers

Answer: 6

Step-by-step explanation:  [tex]log_{2} 64 = 6[/tex]

Estimate the percent: 10 out of 21

Answers

The answer would be 47.6% because there is a lot of numbers so the round to the nearest tenth

Find the volume and surface area (show work please)

Answers

Answer:

V= 120 Surface Area= 124

Step-by-step explanation:

Volume

(6 x 8 x 5)/2 = 120

Surface Area

6 x 6 = 36

2[(6 x 8)/2] = 48

2[(8 x 5)] = 80

=124

Which function best models the data?

Time, t (s) 0 0.5 1.0 1.5 2.0
Height, h (m) 3.0 6.8 8.2 7.0 3.3
A. h(t) = −15.9t2 + 2.99t + 10.22
B. ​h(t) = −16.1t2 + 10.22t + 2.99
C. h(t) = −5.03t2 + 10.22t + 2.99
D. ​h(t) = −5.03t2 + 2.99t + 10.22

Answers

Answer:

Step-by-step explanation:

Option c

Elsa has two coupons for a jacket coupon a: 45% off a $73 jacket coupon B: $30 rebate off $73 jacket which coupon has a lower price

Answers

Answer: 45% off a $73 jacket coupon

Step-by-step explanation:If you multiply 45% by 73 (.45 x 73) you get $32.85.. which means that is how much money would be reduced from the original price. If you have have a $30 rebate off a $73 jacket, you would be paying a higher price if you used the rebate instead of the coupon

There are 12 colored pencils in a jar, and 3 of them are red. What percentage of colored pencils are red

Answers

Answer:

25% are red

Step-by-step explanation:

The fraction of the pencils that are red is

3/12 = 1/4

Changing to decimal form

.25

Multiply by 100 to get a percent

.25 * 100

25%

25%

Explanation: 3 goes into 12 four times. 25 goes into 100 four times.

which is the best estimate of 11 1/5 divided by 2 3/4?

. 4
.6
.22
.33

Answers

Answer:

4.07

Step-by-step explanation:

11 1/5 divided by 2 3/4

= 11 1/5 ÷ 2 3/4

= 56/5 ÷ 11/4

= 56/5 × 4/11

= (56*4) / (5*11)

= 224/55

= 4.07

The best estimate of 11 1/5 divided by 2 3/4 is 4.07

Six of the nine students are from Middle Georgia State College. What is the probability that both of the interviewed students are from Middle Georgia State College? Express your answer as a reduced fraction or decimal rounded to at least four decimal places.

Answers

Answer: 5/12

Step-by-step explanation:

Six of the nine students are from Middle Georgia State College.

The probability that the first student that's interviewed is from Middle Georgia State College will be 6/9.

Now, when the second student is picked, there'll be 8 students left out of which 5 will be from Middle Georgia State College. Therefore, the probability of choosing someone from there is 5/8.

Now, the probability that both of the interviewed students are from Middle Georgia State College will be:

= 6/9 × 5/8

= 2/3 × 5/8

= 10 / 24

= 5/12

At his new job, Jeremiah can choose an hourly rate of $9 plus a $50 weekly bonus for opening the store, or an hourly rate of $10 per hour with no opening bonus. The equations model his salary options.

y = 9x + 50

y = 10x

What does x represent?

the number of times he opened the store
the number of hours worked per week
the total amount he earns each week
the amount of money earned per day

Answers

The variable x represent the number of hours worked per week.

Answer:

The correct option is B

Step-by-step explanation:

just did the test on Ed.

99 Points! Please helpt within 10 minutes! Will name Branliest!!!
A cylinder had a volume of 100 pi. Find one possible radius and height for the cylinder. Explain how you know your combination is correct.

Answers

Answer:

Calculate the volume of a cylinder using the formula V = r2 × π × h. Begin by first finding the area of the circle at one end. Square the radius of the circle and multiply the result by "pi" (the symbol π), or approximately 3.14. Multiply this result by the cylinder's height to get its volume.

Step-by-step explanation:

the height is 4 and the radius is 2

Find the volume of the cone. Use 3.14 for pi. Round your answer to the nearest TENTH. Only write a number for your answer. with work

Please help.
i dont understand how to do this kind of thing.

Answers

The area of cone is 52.30472 and check the photo for the rule

What are the steps for 4x-2=6

Answers

Answer:

4x - 2 = 6

add 2 on both sides

4x = 8

divide by 4

x = 2

How do you model .7 on a number line

Answers

Answer:

.7 is over 0 and under 1 so u have to make the mark just in between them right I front of the half way mark.

Answer:

(this won't really be good since the

number line would be longer if you are

modeling 7)

Step-by-step explanation:

7

<----------------------------|------------>

Is a triangle with sides 4, 6, and 8 a right triangle? Explain your thinking.

Answers

Answer:

No it's not

Step-by-step explanation:

In a right triangle the longest side is always the Hypotnuse. With legs a and b and Hypotnuse c, all right triangle follow the Pythagoream Theorem (a^2+b^2=c^2)

If this is a right triangle then it should also follow this rule.

8^2=4^2+6^2

64=16+36

64≠52

So this isn't a right triangle

We can find the solution to the answer by using the Pythagorean Theorem.

a² + b² = c²

4² + 6² = 8²

16 + 36 = 52

8² = 64

52 ≠ 64.

Since 4² + 6² does not equal 8², a triangle with the sides 4, 6, and 8, are not a right triangle.

plllllllllllllllzzzzz help

Answers

Answer:

(x+36) (x-4)

Step-by-step explanation:

x²+32x-144=0

x²+36x-4x-144=0

x(x+36)-4(x+36)=0

(x+36) (x-4)

Here are two squares, A and B. A B The length of each side of square B is 4cm greater than the length of each side of square A. The area of square B is 70cm2 greater than the area of square A. Find the area of square B. Give your answer correct to 3 significant fi

Answers

Answer:

La²+8La+16 = La²+70

Step-by-step explanation:

8La+16 = 70

8La=70-16

La=54/8

La= 6.75

Area b = (6.75+4)*(6.75+4)

Area b = 10.75*10.75

Area b =115.563

The area of a square is the square of its side lengths

The area of square B is 116 centimeter square

Let the side length of square A be (a), and the side length of square B be (b)

So, we have:

[tex]\mathbf{A_a = a^2}[/tex]

[tex]\mathbf{A_b = b^2}[/tex]

From the question, we have:

[tex]\mathbf{A_b = 70 + a^2}[/tex]

[tex]\mathbf{b = 4 + a}[/tex]

Take square of both sides

[tex]\mathbf{b^2 = (4 + a)^2}[/tex]

[tex]\mathbf{b^2 = 16 + 8a+ a^2}[/tex]

Substitute [tex]\mathbf{b^2 = 16 + 8a+ a^2}[/tex] in [tex]\mathbf{A_b = b^2}[/tex]

[tex]\mathbf{A_b = 16 + 8a+ a^2}[/tex]

So, we have:

[tex]\mathbf{16 + 8a+ a^2 = 70 + a^2}[/tex]

Subtract a^2 from both sides

[tex]\mathbf{16 + 8a = 70}\\[/tex]

Subtract 16 from both sides

[tex]\mathbf{8a = 54}[/tex]

Divide both sides by 8

[tex]\mathbf{a = 6.75}[/tex]

Recall that:

[tex]\mathbf{A_b = 70 + a^2}[/tex]

So, we have:

[tex]\mathbf{A_b = 70 + 6.75^2}[/tex]

[tex]\mathbf{A_b = 115.5625}[/tex]

Approximate

[tex]\mathbf{A_b = 116}[/tex]

Hence, the area of square B is 116 centimeter square

Read more about areas at:

https://brainly.com/question/1658516

The diagram represents all of the faces of a rectangular prism. What is the total area (aka surface area) of the prism in square inches​

Answers

Answer:

no se yo hablo español si me entiendes sigueme y te sigo

Help!!
A farmer estimated that there were 25 gallons of water left in a tank. if this is an underestimate by 16%, how much was actually in the tank?​

Answers

answer:

29 gallons.

explanation:

to find the percent of a number, you must multiply that number by the prevent in the form of a decimal. i.e 16% =0.16

25 * 0.16 =4

25 + 4 = 29

you add the 4 because that is 16% of 25 and you’re adding it because there were more gallons than estimated.

if this is wrong i apologize but if it’s right would you mind giving brainliest?

need help asap! i will give brainliest to the best answer :) image is included

Answers

Answer:

15 units is the distance between the two points

Step-by-step explanation:

Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!!

-Lil G

Work out the volume of this prism. Write your answer
a in cm?
120cm
30cm
20 cm

Answers

Answer:

24,000 cm³

Step-by-step explanation:

Answer:

V = 48000 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = area of end face × length

The end face is a trapezium with area (A) calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 20 , b₁ = 10 and b₂ = 30 , then

A = [tex]\frac{1}{2}[/tex] × 20 × (10 + 30) = 10 × 40 = 400 cm²

Thus

V = 400 × 120 = 48000 cm³

can someone pls help i will mark u brainliest!? :)​

Answers

Answer:

28.5

Step-by-step explanation:

Plzz mark brainlies thanks!!

this it's just where someone who comes across this and wants points ​

Answers

thanks for the free points <33333

Answer:

hows your day going? :)

$3000 is invested for a period of 3 years at a rate of 6% compound monthly. What will the balance in the account be at the end of 3 years?

Answers

Answer:

Hence, the total amount of money that the investor would have after 6 years will be $ 536.04 .

Step-by-step explanation

Answer:

Interest = $3573.048

Step-by-step explanation:

Given: $3000 is invested for a period of 3 years at a rate of 6% compound monthly. What will the balance in the account be at the end of 3 years?

The formula to compound interest is:

I = P(1 + R)^T

First, put in the terms:

I = $3000(1 + 6%)^3

Then calculate:

I = $3000(1 + [tex]\frac{6}{100}[/tex])^3

I = $3000(1 + 0.06)^3

I = $3000(1.06)^3, 1.06^3 = 1.191016

I = $3000 x 1.191016

I = $3573.048

barrys moutain bike weighs 6 pounds more than andys bike. if there bikes weigh 42 pounds altogether how much does barrys bike weigh.

Answers

Answer:

24lbs

....................

Answer:

24 pounds

Step-by-step explanation:

Asking again... Please help! 1/20, will give brainliest. I do not tolerate spam answers!
Factor the equation. [tex]x^2+12x+35[/tex]

Answers

Answer:

(x + 7)(x + 5)

Step-by-step explanation:

Given

x² + 12x + 35

Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (+ 12)

The factors are + 7 and + 5 , since

7 × 5 = + 35 and sum = 7 + 5 = + 12, then

x² + 12x + 35 = (x + 7)(x + 5) ← in factored form

(15 Points!!!) What is the length of side A in centimetres?
A. 1/6
B. 1/2
C. 2
D. 6

Answers

The length of side A in centimeters is 6cm

D. 6

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