Solve The Quadratic Equation by the Square Root Method.

(x + 2)^2=25

Answers

Answer 1

Answer:

x=-7, x=3

Step-by-step explanation:

Seperate into possible cases

Solve the equation

Answer 2

Answer:

x = 3    or x = -7

Step-by-step explanation:

(x + 2)^2=25

Take the square root of each side

sqrt((x + 2)^2)=sqrt(25)

x+2 = ± 5

Subtract 2 from each side

x+2-2 = -2 ±5

x = -2 +5  or x = -2 -5

x = 3    or x = -7


Related Questions

What is the surface area of a sphere with a radius of 30m?
A 3,600 (pie) M ^2
B 90,000 (pie) M ^2
C 1,800 (pie) M ^2
D 900 (pie) M ^2

Answers

formula: 4(pi)r^2

4(pi)r^2
4(pi)30^2
4(pi)900
3600(pi)

Answer: A. 3,600 (pi) M^2

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
14, 84,504,...


Find the 6th term

Answers

Answer:

108,864

Step-by-step explanation:

The difference between each value is x6, so you times the number by 6 to get the next number of the sequence :)

Help? I need the right answer

Answers

Answer:

A,B,C,D all have lines of symmetry

Step-by-step explanation:

Each letter listed above has one line of symmetry

Answer:

Its the 4th answer

False) S,T,U,V

False) L,M,N,O

False) W,X,Y,Z

True) A,B,C,D

Which statement explains why 49 is a perfect square

Answers

Answer:

49 is equal to 7 times 7

Step-by-step explanation:

perfect squares are a number that are the product of the same number e.g. 4*4=16, 5*5=25

Solve the 2x^2 - 5 = 13

Answers

Answer:

x=3

x=−3

Step-by-step explanation:

2x^2 - 5 = 13

Subtract 13 from both sides.

2x^2 - 5 - 13 = 0

Subtract 13 from −5 to get −18.

2x^2 - 18 = 0

Divide both sides by 2.

x^2 - 9 = 0

Consider x^2−9. Rewrite x^2−9 as x^2−3^2. The difference of squares can be factored using the rule: a^2−b^2=(a−b)(a+b).

(x−3)(x+3)=0

To find equation solutions, solve x−3=0 and x+3=0.

x=3

x=−3

Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is inches. The heights of 10 randomly selected students are 75,62,69,65,66,64,67,70,74 and 63.

Answers

Answer:

The population mean = sample mean = x`= 67.5

Population standard deviation = 13.369

Sample standard deviation= 4.225

Step-by-step explanation:

AS the population mean is not given we will calculate it from the sample.

The mean of the sampling distribution is equal to the population mean .

The sample mean is calculated by

x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10

x`=675/10= 67.5

The standard deviation of the sample is equal to

u = σ/ √n   where σ is the population standard deviation and n is the number of observations.

Calculating the sample mean

s= √∑xi²/n- (∑x/n)²

s= √(45741/10)- (675/10)²

s= 4.2249

σ= u*√n= 4.229 *√10

σ=13.360

Dad is getting food ready for my birthday party! Including me, there will be 14 people at the party. Dad is baking cupcakes for us! He can bake 16 cupcakes per batch.

How many batches should I tell Dad to make so we can each have 5 cupcakes?

Answers

Answer:

5 batches

Step-by-step explanation:

fist to find how many cupcakes you need multiply the amount of people times amount of cupcakes per person

(if rule is 5 per person)

14x5=70

then you want to find how many batches to make

70/16=4.375

but you and make 0.375 batches so just make 1 more batch

so you should tell your dad to bake 5 batches

hassan and eva rode their bikes from the same starting point. Hassan rode his bike 5/6 of a mile, while eve rode hers 4/7 of a mile. which equation shows the mileage difference D in the distance they rode

Answers

Answer:

A

Step-by-step explanation:

5/6 > 4/7 so you'd have to subtract from 5/6 to even get to 4/7.

The equation for the mileage difference is 5/6 - d = 4/7.

What are expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

(Mathematical Operator, Number/Variable, Expression)

Given the distance covered by Hassan = 5/6 of mile

distance covered by Eva = 4/7 of mile

5/6 = 0.833

4/7 = 0.57

since Hassan has covered more distance than Eva

so  equation is 5/6 - d = 4/7

Hence option A is correct.

Learn more about expression;

https://brainly.com/question/14083225

#SPJ2

Marking brainliest:).

Answers

Answer:

0.18

Step-by-step explanation:

Divide 5.40 by 30.

Can I have brainliest?

Answer:

0.18

Step-by-step explanation:

total cost - the amount of markers = price per marker

5.40/30=0.18

Find the midpoint between the two points: (-7, 9) and (5, -1).
A. (18, -23)
B.(11, 4)
C.(13, 18)
D.(1.5, -2)

Answers

Answer:

The coordinates of the midpoint between the two

points is (-1,4)

Step-by-step explanation:

Here, we want to find the midpoint between the two given points

To do this, we are to use the midpoint formula

We have this as;

m = (x1 + x2)/2, (y1 + y2)/2

(x1,y1) = (-7,9)

(x2,y2) = (5,-1)

(x,y) = (-7 + 5)/2, (9-1)/2

= (-2/2, 8/2) = (-1,4)

Nicholas bought 3 cartons of confetti eggs. Each carton contained 12 confetti eggs. One package
of confetti eggs hadi 4 broken.

Answers

Answer:

3 times 12 equals 36. 36-4=32. The answer is 32

Step-by-step explanation:

Ashley flies a drone 2,530 ft in 5 s. At this rate how many miles does the drone fly in a minute? 1 mi = 5280 ft

Answers

Answer:

I think the answer is 5.75 miles.

Step-by-step explanation:

If the drone flies 2,530 ft in 5 seconds, that means that in one minute it flies 30,360 ft. And 30,360 divided by 5,280 is 5.75.

There are 5.74 miles does the drone fly in a minute.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Ashley flies a drone 2,530 ft in 5 s.

Now,

Since, Ashley flies a drone 2,530 ft in 5 s.

We know that;

1 minute = 60 seconds

Hence, Number of miles in 1 minutes = 2530/5 × 60

                                                          = 30,360 ft

Since, We know that;

1 ft = 0.000189 miles

Hence, we get;

⇒ 30360 × 0.000189

⇒ 5.74 miles

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ5

An aquarium holds 11.39 cubic feet of water, and is 2.3 feet long and 1.8 feet wide. What is its depth? Round your answer to the nearest whole number.

Answers

Answer:

2.75feet

Step-by-step explanation:

Given data

Volume= 11.39 cubic feet

Length= 2.3 feet

Width= 1.8 feet

Depth= ???

The expression for the volume is  

Volume= Length*Width*depth

11.39=2.3*1.8*d

11.39=4.14d

d= 11.39/4.14

d= 2.75

Hence the depth is 2.75feet

Please please help me with this ASAP ASAP please

Answers

Answer:

Volume: 762 in³

LA: 448 in²

SA: 544 in²

Step-by-step explanation:

So first, the volume, the formula to find the area is base x height, so we have to find the base first:

8 x 12 ÷ 2 = 48

48 x 14  = 672

So the volume of the prism is 762 in³

Now, the lateral area, which is basically the surface area without the bases, or, in this case, the triangles:

10 x 14 = 140 x 2 = 280

12 x 14 = 168

168 + 280 = 448

So the LA = 448 in²

Now, for the surface area:

12 x 8 = 96 (usually, it would then be ÷ 2, but because there are two triangles, it isn't necessary)

96 + 448 (the LA) = 544

So the SA = 544 in²

hope this is right:)

help please ! thank u sm

Answers

Given:

The figure of triangle LNM.

To find:

The Law of Sines for the given triangle.

Solution:

Law of sines: In triangle ABC,

[tex]\dfrac{\sin A^\circ}{a}=\dfrac{\sin B^\circ}{b}=\dfrac{\sin C^\circ}{c}[/tex]

Similarly, the Law of Sines for the given triangle LNM is:

[tex]\dfrac{\sin L^\circ}{l}=\dfrac{\sin N^\circ}{n}=\dfrac{\sin M^\circ}{m}[/tex]

Therefore, the correct option is b.

How to solve for (3v^3r^4)^2

Answers

Answer:

9v^6r^8

Step-by-step explanation:

3v^6 · 3r^8

Solve for x


5(3+x)=5+7x

Answers

The answered the question is X=5
The answer to this question is X=5

Mhanifa can you please help? This is due asap! Look at the pic attached below. I will mark brainliest. Guys please don't put random answers thanks :)

Answers

Answer:

37°

Step-by-step explanation:

Angle DBC is congruent with ADB as alternate interior angles

∠DBC ≅ ∠ADBm∠DBC = m∠ADB = 37°

When I have walked 20% of the way to school, I have 1200 metres more to walk than when I have 20% of the walk remaining.

How far, in metres, is it from my home to my school?

Answers

Given:

I have walked 20% of the way to school.

I have 1200 metres more to walk than when I have 20% of the walk remaining.

To find:

The distance from home to school.

Solution:

Let x be the distance from home to school.

I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.

It means 1200 is [tex]100\%-20\%-20\%=60\%[/tex] of the total distance from home to school.

[tex]1200=\dfrac{60}{100}x[/tex]

[tex]1200=0.6x[/tex]

[tex]\dfrac{1200}{0.6}=x[/tex]

[tex]2000=x[/tex]

Therefore, the distance from home to school is 2000  metres.

How far, in metres, is it from my home to my school is 2,000 metres.

First step is to formulate

1200/(1-2×20%)

Second step is to find how far in metres

Distance=1200/(1-0.4)

Distance=1200/0.6

Distance=2,000

Inconclusion how far, in metres, is it from my home to my school is 2,000 metres.

Learn  more about distance here:https://brainly.com/question/17273444

Which of the following choices are binomial random variables?

Answers

Answer: Diane flips a fair coin 10 times and counts how many times it lands showing “heads.” Let H = the number of heads.

Step-by-step explanation: If the answer choices are:

- Lulu rolls a pair of fair dice until she gets a sum 10. Let T = the number of rolls it takes.

- Diane flips a fair coin 10 times and counts how many times it lands showing “heads.” Let H = the number of heads.

- Anna asks a random sample of 10 people how many siblings they each have. Let S = the average number of siblings in the sample.

There are 300 calories in three ounces of a certain ice cream. How many calories are there in two pounds?

Answers

Answer:

3200

Step-by-step explanation:

1 pound = 16 ounces.

300 = 3 ounces.

2 pounds = 32 ounces.

If 300 calories are in 3 ounces, how many are in 32 ounces?

32 / 3 = 10 2/3

300 * 10 2/3 = 3200

Hope this helps!

Does anyone know any good Algebra 1 studying tips. Big tests coming up.

Answers

Answer:

Review your notes, make flashcards, go back to your textbook and solve problems you haven't solved. Just keep doing practice problems

Giving brainlist to whoever answers

Answers

Answer:

its B

Step-by-step explanation:

3.9*8.2*4.1 is 131.118

Answer:

4 x 8 x 4 = 128

if not then try

3.9 x 8.2 x 4.1 = 131.118

round to the nearest whole number to get: 131

What is the simple interest earned on $1000.00 that earns 6% interest for 10 years?

Answers

Answer: $600 interest

Step-by-step explanation:

Formula

I=Prt

I=Interest amount

P=Principle

r=Interest rate

t=Time

Given

P= $1000.00

r= 6%

t= 10 years

Solve

I=Prt

I=(1000)(6%)(10)

I=$600

Hope this helps!! :)

Please let me know if you have any questions

12.3 cm
What is the exact volume of the sphere?
O 2481.1567 cm
O 7263.397 cm
O 7790.837 cm
O 22807.057 cm

Answers

Answer:

Volume = 4/3 * PI * radius^3

Volume = 4/3 * PI * 12.3^3

Volume = 1.33333333 * 3.14159265* 1860.867

Volume = 7794.7814531034

The answer is 7790.837

Step-by-step explanation:

ummmm i really need help

Answers

Answer:

B

Step-by-step explanation:

Angles a and b are complementary angles because they both add up to 90 degrees, which fulfills the definition of complementary.

Answer:

B, complementary

Step-by-step explanation:

I did something similar to this and got it correct- hope this was helpful!

LCM of 12, 8, 24 i need helppp

Answers

Answer:

24 is the LCM

Step-by-step explanation:

{ 12 , 24 , 36 , 48 }

{ 8 , 16 , 24 , 32 }

{ 24, 48 }

PLS GIVE BRAINLIST IF HELPFUL <33

Round to the nearest tenth. Use 3.14 or 22/7 for π.​

Answers

Note: Consider we need to find the circumference and area of the given circle.

Given:

A circle with radius 7.1 m.

To find:

The circumference and area of the given circle.

Solution:

Circumference of a circle is:

[tex]C=2\pi r[/tex]

Putting [tex]r=7.1,\pi=3.14[/tex], we get

[tex]C=2(3.14)(7.1)[/tex]

[tex]C=44.588[/tex]

[tex]C\approx 44.6[/tex]

Therefore, the circumference of the circle is 44.6 m.

The area of the circle is:

[tex]A=\pi r^2[/tex]

Putting [tex]r=7.1,\pi=3.14[/tex], we get

[tex]A=3.14(7.1)^2[/tex]

[tex]A=158.2874[/tex]

[tex]A\approx 158.3[/tex]

Therefore, the area of the circle is 158.3 sq. m.

Given the function y = x/3 + 1, suppose you have a function value where x (input) is 6. What would be the corresponding y value (output)?

Answers

Answer:

3

Step-by-step explanation:

Given the function : y = x/3 + 1

If an input value, x is given as 6 ;

Output value, y can be obtained by Substituting the value x = 6 into the function and calculating the value of y

Calculation goes thus ;

y = 6/3 + 1

y = 2 + 1

y = 3

Output, y = 3

Paul bought a package of 6 spiral notebooks for a total cost of $13.50. Which equation represents p , the cost, in dollars, of each notebook?

Answers

Answer:

this is just a hint

Step-by-step explanation:

the question measures 6.EE.7 because it asks the student to solve a real-world problem by writing an equation of the form px=qpx=qpx=q for a case in which p,qp,qp,q and x are all non-negative rational numbers. In this case the equation includes a division expression and shows the total cost of $13.50\$ 13.50$13.50 divided by 666, the number of spiral notebooks.

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