Select the correct answer.
Solve the following quadratic equation.

(x + 4)^2 = 25

A. x= 9 and r = -1
B. x= -9 and x = -1
C. x= -9 and x= 1
D. x = 9 and x = 1

Answers

Answer 1

Answer:

-9; 1

Step-by-step explanation:

x+4=5

x=5-4

x=1

x+4=-5

x=-5-4

x=-9

Answer 2

The solution of the quadratic equation (x + 4)^2 = 25 is x = -9 and x = 1

The correct answer is option (C)

What is quadratic equation?

"It is a polynomial with degree 2. The general form of quadratic equation is ax²+ b x + c =0, where a, b, c are real numbers with a ≠ 0."

For given example,

We need to find the solution of the quadratic equation (x + 4)^2 = 25.

⇒ (x + 4)^2 = 25

⇒ x² + 2(4)(x) + (4)² = 25

⇒ x² + 8x + 16 = 25

⇒ x² + 8x - 9 = 0

⇒ x² + 9x - x - 9 = 0

⇒ x(x + 9) - 1(x + 9) = 0

⇒ (x + 9)(x - 1) = 0

⇒ x + 9 = 0   and x - 1 = 0

x = -9 and x = 1

The correct answer is option (C)

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Related Questions

I NEED HELP BADLY PLEASE

Answers

Answer:

m(DE) = 90°

Step-by-step explanation:

Since both circles are equal, therefore, their radius would be equal too.

m<S = 180 - right angle (angles on a straight line)

m<S = 180 - 90 = 90°

m<R = m<S (congruent triangles)

m<R = 90°

m<R = m(DE) (central angle = intercepted arc based on the central angle theorem)

Substitute

90° = m(DE)

m(DE) = 90°

. In Paige's class, 13 of the 20 students were born in Texas. Based in the
information, if there are
8010 students at the school, how many students could
be expected to have been
born in Texas?

A.600 students
B.480 students
C.520 students
D.560 students

Answers

Answer:

Road shimmer

Wiggling the vision

Heat heat waves

I'm swimming in a mirror

Road shimmer

Wiggling the vision

Heat heat waves

I'm swimming in a

Sometimes, all I think about is you

Late nights in the middle of June

Heat waves been faking me out

Can't make you happier now

Sometimes, all I think about is you

Late nights in the middle of June

Heat waves been faking me out

Can't make you happier now

Usually I put

Something on TV

So we never think

About you and me

But today I see

Our reflections

Clearly in Hollywood

Laying on the screen

You just need a better life than this

You need something I can never give

Fake water all across the road

It's gone now the night has come but

Sometimes, all I think about is you

Late nights in the middle of June

Heat waves been faking me out…

Answer:490

Step-by-step explanation:

Refer to the isosceles trapezoid shown. Find z

Answers

Answer:

look at the picture i sent......

Tonya has $7.85. How much does she need to make $10.00? $7.85 $3.85 C $2.15 $4.15​

Answers

Answer:

C) $2.15

Step-by-step explanation:

I SUBTRACTED 7.85 FROM 10.00 AND THE DIFFERENCE WAS $2.15.

                           $10.00

                        -  $_7.85

                           $ 2.15    

                         

                                 

             


On Claudia's birthday, her parents open a savings account and deposit SS. They also deposit $50 each
year after that on her birthday. The account eams interest at an annual rate of 7% compounded annually
Caudia will make no withdrawals from the account for at least 15 years Complete the table to find how
much Caudla will have in her account at the end of the fifth year. Then compare this amount to the
$290.10 that would be in her account if she had received 5% interest.

Answers

Wacom down straight to logo and and make sure he don’t get up

As altitude within the troposphere increases, the amount of water vapor in the atmosphere generally: PLEASE HELP ME!!!
A. decreases, only
B. increases, only
C. remains the same
D. decreases, then increases

Answers

the correct answer is B

As altitude within the troposphere increases, the amount of water vapor in the atmosphere generally decreases.

What happens in the troposphere as you increase in altitude?

The bottom of the troposphere, close to ground level, has the warmest air. As one ascends into the troposphere, the air becomes cooler. Because of this, tall mountains' peaks might still have snow on them in the summer. Along with decreasing with altitude, so do air pressure and air density.

As, The troposphere's temperature and water vapour content drop sharply with altitude.

This is because it absorbs solar energy and thermal radiation from the planet's surface, water vapour plays a significant role in controlling the temperature of the atmosphere.

99% of the water vapour in the atmosphere is found in the troposphere.

Thus, the water vapor decreases.

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Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

turtles are vulnerable. so A is your correct answer

Step-by-step explanation:

To construct a compound pulley with an ideal mechanical advantage of 6 you would arrange several fixed and movable pulleys so that a total of ... rope segments were pulling up on the load


Please give correct answer!

Answers

Answer:

6.

Step-by-step explanation:

A simple machine can be defined as a type of machine with no moving parts but can be used to perform work.

Basically, a simple machine allows for the transformation of energy into work. The six simple machines are; lever, wedge, inclined plane, screw, wheel and axle, and pulley.

A pulley is typically made up of a wheel and rope which allows force to be multiplied such as in a drawing well.

In order to construct a compound pulley with an ideal mechanical advantage of 6 you would arrange several fixed and movable pulleys so that a total of 6 rope segments were pulling up on the load.

Hence, you need 6 pulley wheels and 6 rope segments to construct a compound pulley with an ideal mechanical advantage of 6.

To find the ideal mechanical advantage;

Mathematically, IMA is given by the formula;

[tex] IMA = \frac {distance \; over \; which \; the \; effort \; is \; applied}{distance \; the \; load \; travels} [/tex]

NB: The ideal mechanical advantage has no units.

Total area
yeah i would please love some help

Answers

1 = 400 (20 x 20)
2 = 900 (50 x 18)

A cylinder has a height of 7 yards and a radius of 14 yards. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

The answer to the nearest hundredth, the volume of the cylinder is approximately 4309.28 cubic yards.

To calculate the volume of a cylinder, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

Radius (r) = 14 yards

Height (h) = 7 yards

Approximation of π = 3.14

Substituting these values into the formula, we have:

[tex]V = 3.14 \times(14^{2} )\times 7[/tex]

First, let's calculate the value of (14²):

[tex]14^{2} = 14 \times 14 = 196[/tex]

Now, substitute the values back into the formula:

[tex]V = 3.14 \times 196 \times 7[/tex]

Next, perform the calculations:

[tex]V = 3.14 \times 1372[/tex]

V ≈ 4309.28

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A function h(x) has zeroed at x=-6 and x=12 where does the function g(x) =h(3x) have zeroed?

Answers

Answer:.

Step-by-step explanation:.

Pls help and round to the nearest and no decimals

Answers

Answer:

Step-by-step explanation:

LA = pi*r*l = 3.14*8.5*12.4 = 331

SA = LA + pi*r^2 = 331 + 3.14*8.5^2 = 558

V = 1/3*pi*r^2*h = 1/3*3.14*(8.5^2)*sqrt(12.4^2-8.5^2) = 683

Answer:

331

558

683

Step-by-step explanation:

LA = 3.14x8.5x12.4 = 330.9 = 331

SA = 331+3.14x8.5^2 = 557.9 = 558

V = 1/3x3.14x(8.5^2)x(12.4^2-8.5^2)^0.5 = 682.7 = 683

Janice needs 3 gallons of lemonade for a party. She has 4 quarts, 6 pints, and 4 cups of lemonade already made. How many more cups does she need.

Answers


4 quarts is 1 gallon
6 pints is 0.75 gallons
4 cups is 0.25 gallons
if you add all of those you would get 2 gallons
so Janice would need 1 more gallon of lemonade

2x – 5x + 16 = –3(x – 6)

Answers

Answer:

0=2

There are no solutions

Step-by-step explanation:

Answer:

2x – 5x + 16 = – 3(x – 6)

-3x + 16 = - 3x + 18

-3x + 3x + 16 = 18

16 = 18

Thus, This is a False Equation

-TheUnknownScientist

In a right triangle, the side opposite angle α has a length of 11.1 feet, the side adjacent to angle α has a length of 13.4 feet, and the hypotenuse has a length of 17.4 feet. What is the value of cos(α)?
a. 0.638
b. 0.828
c. 0.770
d. 1.299

Answers

B is the best answer to go with.

Answer:

C

Step-by-step explanation:

There are two jars with marbles. The first jar contains 3 red, 4 green, and 5 blue marbles. The second jar contains 4 red, 2 green, and 6 blue marbles. What is the probability of the randomly drawing a green marble from the first jar and blue marble from the second jar

Answers

Answer:

both jars contain 12 marbles

for the first jar the probability is 4/12 which is 33%

for the second jar the probability is 6/12 which is 50%

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

theres 12 mables in each jar in this situation.

whats the value of 2 [ 2(14+1) ] - 6

Answers

Answer:54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

2[2(15)]-6 =

2[30]-6 =

60-6 = 54

What is the volume of this figure? Round to the nearest tenth if necessary.
14 m
24 m
7 m
25 m

Answers

Answer:

V = 392 m³

Step-by-step explanation:

Volume rectangular prism

V = (1/3)AH

H is the height of the prism

A is the area of the base triangle

A = (1/2)bh

A = (1/2)(7)(24)

A = 84

V = (1/3)(84)(14)

V = 392 m³

Help pls 6th grade math (look at the pic attached) btw it’s 2 questions

Answers

Answer:

1. s=7

2 s = 8

Step-by-step explanation:

s + 12 =19 you subtract 12 from 19 and you get 7 so you rewrite it like this s = 7 then divide s by 7 and get s = 7

s - 6=2 add 6 to both sides so 6+2 equals 8

s=8

First one is 7 and the second one is 8

help me pls. not links pls

Answers

answer:
y = 1/2x

step-by-step explanation:
first find the y-intercept or b
it is 0
next find the slope, rise/run
it is 5/10 or 1/2x
putting those in the equation it would be
y = 1/2x
because the y-intercept is 0 you wouldn’t add it

Anthony has $3750 that he wants to invest. He plans to leave the money there for 9 years. If his investment gets 6.35% interest compounded continuously, how much will he have at the end of 9 years? Round your answer to the nearest whole number?​

Answers

Answer:

[tex]A= P(1+\frac{r}{n})^{nt}[/tex]

P = 3750

r = 6.35% = 0.0635

n = 365

t = 9

[tex]A= 3750(1+\frac{0.0635}{365} )^{365*9}\\\\[/tex]

    [tex]= 3750(1+\frac{0.0635}{365})^{3285} = 6640.63[/tex]

Answer  = $6641


What is the slope of AB?
Can anyone help me ??

Answers

Answer:

1/2

Step-by-step explanation:

Point A is (2, 3)

Point B is (6, 5)

To get the slope of a line, first select any two points on that line.

Then, take the difference of the y values, and divide it by the difference of the x values. This is also known as the change in y over the change in x, or rise over run.

[tex]\frac{3-5}{2-6} =\frac{-2}{-4} =\frac{1}{2}[/tex]

1/2 is the slope.

Mrs.Smith stacked 6 cubes on top of one another to make a tower. If the tower is sitting on the floor, how manyof the cubes faces can Mrs.Smith see?

Answers

Answer: 25 faces

Step-by-step explanation:

Given

6 cubes are stacked over each other

Mr. Smith wants to count the number of faces  

The faces which are in contact with each other are not visible to Mr. smith i.e. there will be 5 cubes with only 4 faces available and only one cube with 5 faces available, that is placed on the top.

No of visible faces

[tex]\Rightarrow 4\times 6+1\quad \quad [\text{6 cubes with 4 faces visible+face of top cube}]\\\Rightarrow 25\ \text{faces}[/tex]

Robert owns three-eighths of a florist shop worth $76,000. What is the value of Robert’s share of the business?

Answers

Answer:

It should be $28500

Step-by-step explanation:

76000 x 3/8 = 28500

value of shop:76000

robert owns:3/8

$76,000 divided by 3 = $25,333.33 :)

i need help with geometry

Answers

Answer:

154

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x+8=x+20

3x-x=20-8

2x=12

x=12/2=6

∠PTQ=x+20=6+20=26

∠PRT=180-26=154°

Spinner A and Spinner B have 4 color choices each: grey, orange, blue and yellow. What is the probability of getting a Blue and Grey combination from the area model below?

Answers

Answer:

The probability of getting a Blue and Gray combination is 6.25%.

Step-by-step explanation:

Given that Spinner A and Spinner B have 4 color choices each: gray, orange, blue and yellow, to determine what is the probability of getting a Blue and Gray combination from the area model below, the following calculation must be performed:

Blue / Total: 1/4

Gray / Total: 1/4

1/4 = 0.25

0.25 x 0.25 = X

0.0625 = X

0.0625 x 100 = 6.25

Therefore, the probability of getting a Blue and Gray combination is 6.25%.

Answer:

answer is 1/8

Step-by-step explanation:

just took the quiz trust me this the answer

IF YOU AWNSER WROnG YOu ARE DUmmmm. Convert to slope intercopt form 4x + 3y = 6​

Answers

Answer:

The slope-intercept form is  

y

=

m

x

+

b

, where  

m

is the slope and  

b

is the y-intercept.

y

=

m

x

+

b

Step-by-step explanation:

Find the mode for the given data set.

A.) 6
B.) 34
C.) 37

Answers

Answer:

its b 34

Step-by-step explanation:

Answer:

the actual answer is 37. I have the assignement and 37 was correct.

Step-by-step explanation:

Find the radius of the button.

radius: ___ cm

Answers

Answer:

the radius is 2.5 cm

Step-by-step explanation:

Half of your diameter is your radius

I can confirm that it is 2.5 due to the way it was solved .

Which expression is equivalent to 4x - (8x + 3) - 2?
T
A
12x + 1
B
-12x - 5
с
-4x - 1
D
-4x - 5

Answers

Answer:

-4x - 5

Step-by-step explanation:

4x - (8x + 3) - 2

Dstribute the negative

4x - 8x - 3 - 2

combine like terms

-4x -5

The correct answer is d
Other Questions
There are 15 applicants for four jobs: computer programmer, software tester, manager, and systems engineer.A) PermutationB) Combination C) Circular permutation Rick wants to use multiplication to solve {k} = 7 \div \dfrac13k=7 3 1 k, equals, 7, divided by, start fraction, 1, divided by, 3, end fraction. Which multiplication equation can Rick use? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac13\times{k} =7 3 1 k=7start fraction, 1, divided by, 3, end fraction, times, k, equals, 7 (Choice B) B \dfrac13={k}\times7 3 1 =k7start fraction, 1, divided by, 3, end fraction, equals, k, times, 7 (Choice C) C \dfrac13\times7 = {k} 3 1 7=kstart fraction, 1, divided by, 3, end fraction, times, 7, equals, k Three people invest at a ratio of 1:4:7. If the partnership is worth $636,000, what dideach person invest? 23. Assuming the green is flat, what is the radius of the green? What are the graph coordinates of the vertex of the graph function y=x^2+6x-11 When you categorize your note cards, what can you learn about the Information you've gathered?if you have duplicate informationif you have information you don't needif you have holes in your researchall of the aboveHELPPPPPPPPPPPPPPPPPPPP PLZZZZZZZZZZZ ITS ART Ms. Pacheco wrote the following expression. [7 x (4 + 11)] - 9 What is the value of the expression? Help me with this please What is the area of a circle with a radius of 21 cm?Group of answer choices4348.08 cm21289.12 cm21384.74 cm2 solve -8 = 1.3m - 2.1m What is mA: 19B: 68C: 112 Two angles are complementary. One angle is 52. How many degrees is the other angle? Geometry Which of these is part of the prime factorization of 630?3 with a tiny 2 x 75 with a tiny 3 3 with a tiny 3 5 with a tiny 2 x 7 Iodine-131 half life 8.040 how long will it take for a 40 gram sample of iodine-131 to decay to 0.75 grams In Act II of The Tempest, who does Sebastian blame for his being shipwrecked?O A. AntonioB. AlonsoC. HimselfD. The gods Hi, is it Faire des photos or Prendre des photos? Thanks Ill give brainliest Suppose that a new employee starts working at $7.72 per hour and receives a 5% raise each year. After time t, in years, his hourly wage is given by the equation y=$7.72(1.05)t. Find the amount of time after which he will be earning $10.00 per hour.After what amount of time will the employee be earning $10.00 per hour? Ewok's favorite candy is a gummyworm. One gummy worm is 13inches long: How many gummyworms will it take to lay them end toend to have a total length of 45inches A smaller box of cereal is $2.89 for 14.5 oz. The family size is $4.99for 30 oz. Which is the better deal? explain. Write the number in scientific notation. 0.00000625