solve work by using square root method

Solve Work By Using Square Root Method

Answers

Answer 1

[tex]~~~~(x-2)^2 = 16\\\\\implies x-2 = \pm\sqrt{16}\\\\\implies x-2 = \pm4\\\\\implies x= \pm4 +2\\\\\implies x=-4+2~~ \text{or}~~ 4+2\\\\\implies x = -2~~ \text{or}~~ 6[/tex]

Answer 2

Answer:

[tex]x = - 2[/tex]

[tex]x = 6[/tex]

Step-by-step explanation:

[tex](x - 2)^{2} = 16[/tex]

[tex]x - 2 = ± \: 4[/tex]

[tex]x - 2 = - 4[/tex]

[tex]x - 2 = 4[/tex]

[tex]x = - 2[/tex]

[tex]x = 6[/tex]


Related Questions

This question is from one of my practice questions, since im studying. Can someone help me with this?

Answers

I think that’s it’s A

help me with this one
I need full explanation

50 points+ Brainliest !??
Answer as fast as possible..
The answer is there all I need is the process ​

Answers

This is the answer of your question

Which description is correct for the polynomial 4x² +3x +5?


quadratic trinomial

quartic monomial

cubic trinomial


cubic binomial

Answers

Answer:

the answer to this question. is quadratic trinomial

Answer:

The answer is quadratic trinomial because it is to the power of 2, and has 3 terms.

Tj is thinking of a number, which he calls n. He finds 1/3 of the number and then subtracts 5.

Answers

Answer:

1/3n-5

Step-by-step explanation:

n=1/3n

subtract 5

so the expression is 1/3n-5

Answer:

[tex]n\frac{1}{3}-5[/tex]

Step-by-step explanation:

Hey there!

This is the equation for your answer because you said that he finds 1/3 of n and then subtracts 5

Write the word 'MATHEMATICS' using line segments and observe the number of angles more than a right angle and number of angles less than a right angle​

Answers

Answer:

Here is a diagram I made that shows all of the angles of the letters. (By to the way, letters I, C, and S don't have any angles, so I didn't include them.)

Step-by-step explanation:

Quick please I need this before I go

Answers

Answer:

143/63 or 2 and 17/63

Step-by-step explanation:

multiply the length times the width

13/9 x 11/7

The radius of a circle is 1 kilometer. What is the circle's area?
Use 3. 14 for ​. Square kilometers

Answers

Answer:

3.14km^2

Step-by-step explanation:

area of circle= πr^2

=3.14×1^2

=3.14km^2

Answer:

[tex]\boxed{\sf{3.14\ km^2}}[/tex]

Step-by-step explanation:

Given:

Use the formula of area of circle.

Area of circle:

[tex]\Longrightarrow: \sf{A=\pi r^2}[/tex]

Solutions:

Radius of a circle is 1 kilometer.

[tex]\Longrightarrow: \sf{3.14*1^2}[/tex]

Solve.

[tex]\sf{1^2=1*1=1}[/tex]

[tex]\sf{3.14*1=\boxed{\sf{3.14\ km^2}}[/tex]

Therefore, the correct answer is 3.14km².

I hope this helps, let me know if you have any questions.

The distance between points A(1, -4) and B(x, -2) is [tex]\sqrt{5\beta }[/tex] units. Find x.

Answers

Answer:

5\beta ???

Step-by-step explanation:

please recheck the question ..

Model trains fascinate everyone—both children and adults.

Agree

Disagree

Explain why you voted the way you did.

Answers

Disagree, it depends on the type of adult because children have the ability to think in the most magical way, so they can make the model train seem more enchanting in their mind.
It also depends on if the adult is a history buff, because the model train might be a fascinating rendition of a real train that cannot be visited.

Find the first four terms, in thousands, of the geometric series. round to the nearest thousand. a1 = a2 = a3 = a4 =

Answers

The geometric series an = 400(1.05)^(n-1) has a common ratio and an initial term

The first four terms are a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05

How to determine the first four terms?

The geometric series is given as:

an = 400(1.05)^(n-1)

Substitute 1 for n

a1 = 400 * (1.05)^(1-1)

Evaluate the product

a1 = 400

Substitute 2 for n

a2 = 400 * (1.05)^(2-1)

Evaluate the product

a2 = 420

Substitute 3 for n

a3 = 400 * (1.05)^(3-1)

Evaluate the product

a3 = 441

Substitute 4 for n

a4 = 400 * (1.05)^(4-1)

Evaluate the product

a4 = 463.05

Hence, the first four terms are

a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05

Read more about geometric series at:

https://brainly.com/question/24643676

Answer:

a1 = 400

a2 = 420

a3 = 441

a4 = 463

C

Step-by-step explanation:

Find the diameter of a circle with an area of 6767 square centimeters.
The diameter is //] centimeters.

Answers

Area=6767cm²

Diameter be d

Radius be r

πr²=6767r²=6767/πr²=2155r=46.4cm

Diameter=2r=46.4(2)=92.8cm

2r +8= 26
» What is the value of r?
meters

Answers

Answer:

r = 9 meters

Step-by-step explanation:

2r + 8 = 26 <== subtract 8 from both sides

    - 8     - 8

2r = 18 <== divide both sides by 2 to isolate the variable

/2    /2

r = 9 meters

Hope this helps!

Answer:

[tex]\boxed{\sf{r=9}}[/tex]

Step-by-step explanation:

To find the value of r, isolate it on one side of the equation.


[tex]\sf{2r+8=26}[/tex]

First, you have to subtract by 8 from both sides.

[tex]\sf{2r+8-8=26-8}[/tex]

Solve.

Subtract the numbers from left to right.

26-8=18

2r=18

Divide by 2 from both sides.

[tex]\sf{\dfrac{2r}{2}=\dfrac{18}{2} }[/tex]

Solve.

Divide the numbers from left to right.

18/2=9

r=9

Therefore, the correct answer is r=9 meters.

I hope this helps. Let me know if you have any questions.

4
Adam's
age is 3 years and 6 months.
Zara's age is 2 years and 11 months.
.
Write Adam's age in months as a fraction of Zara's age in months.
Give your fraction in its simplest form.

Answers

The question is an illustration of fraction division and Adam's age as a fraction of Zara's age is 7/5

How to represent the age as a fraction?

The ages are given as:

Adam = 3 years and 6 months

Zara = 2 years and 11 months

Rewrite the ages in months

Adam = 3 * 12 + 6 = 42 months

Zara = 2 * 12 + 11 = 35 months

Adam's age as a fraction of Zara's age is calculated using:

Fraction = Adam/Zara

This gives

Fraction = 42/35

Simplify

Fraction = 7/5

Hence, Adam's age as a fraction of Zara's age is 7/5

Read more about fractions at:

https://brainly.com/question/1622425

The 8th term of a linear sequence is 18 and the 12th term is 26. Find the first term, the common difference and the 20th term

Answers

Answer:

see explanation

Step-by-step explanation:

the sequence is linear, that is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₈ = 18 and a₁₂ = 26 , then

a₁ + 7d = 18 → (1)

a₁ + 11d = 26 → (2)

subtract (1) from (2) term by term to eliminate a₁

4d = 8 ( divide both sides by 4 )

d = 2

substitute d = 2 into (1) and solve for a₁

a₁ + 7(2) = 18

a₁ + 14 = 18 ( subtract 14 from both sides )

a₁ = 4

then

a₂₀ = 4 + (19 × 2) = 4 + 38 = 42

Instructions: Find
the measure of the indicated angle to the nearest degree.

Answers

Cos(angle) = adjacent leg/ hypotenuse


cos(angle) = 21/36


angle = arccos(21/36

Angle = 54.31

Angle = 54 degrees

Hello! Can someone help me, please? Thank you so much!

Topic: possibility.

How many double digit numbers are there where the two digits are different from each other ?

Answers

Answer:

81

Step-by-step explanation:

double digit numbers begin at 10 and end at 99

10 → 19 has 10 double digits

20 → 29 has 10 double digits

and so on up to 90 → 99

that is there are 90 double digits from 10 → 99

double digits with same value are 11, 22, 33, 44, 55, 66, 77, 88, 99

that is 9 double digits with the same value

Then double digits with different values = 90 - 9 = 81

Answer:

81 double digits numbers.

Step-by-step explanation:

From 1 to 99, first 9 numbers are single digit numbers

Double digit numbers = 99 - 9 =90

In this 90 numbers, 11,22,33,44,55,66,77,88,99 have same digits.

90 - 9 = 81

y=7x+5, y=2x+5
Solving systems

Answers

Answer:

x = 0, y = 5

Step-by-step explanation:

y = 7x + 5

=> x = (y-5) / 7

y = 2x + 5 = 2 *(y-5) /7 + 5

=> (y - 5) / 2 = ( y - 5) / 7

=> y =5 since only 0 / 2 = 0 / 7

=> x = (y -5) / 7 = 0 / 7  = 0

Help find the volume of the figure in terms of Pi.

Answers

The volume of a cone is equal to 1/3•pi•r^2•h. If you want to find the volume of something in terms of pi, you must multiply all other numbers and leave the answer without multiplying the pi in.

In this case, the radius is equivalent to 2mi and the height is equivalent to 7mi. This means….

r^2=4
h=7

Now plug in the numbers into the formula for the volume of a cone.

1/3•4•7•pi
28/3pi

The answer is 28/3 pi.

Answer:

9.33π

Step-by-step explanation:

the formula to solve for the volume of a cone is V=πr^2 * h/3

r = radius of base (2mi)

h = height (7mi)

plug in the numbers

V=π2^2 * 7/3

V=π4*2.33333333

V=9.33π

What is 0.¯47 expressed as a fraction in simplest form?

Answers

Answer:

The answer would be 47/99

Step-by-step explanation:

Find 3 ratios that are equivalent to the given ratio.

2/7

Answers

Answer:

I've got lots of ratios for you.

4/14

6/21

8/28

10/35

12/42

14/49

16/56

18/63

To calculate a ratio, next time do this...

If you are comparing one (A) to another (B), your formula would be A/B.

This means you are dividing information A by information B.

For example, if A is 5 and B is 10, your ratio will be 5/10.

Simple as that.

YW!!

Answer:

1) 3:4. 2) 30:40. 3) 45:80

Step-by-step explanation:

15:20 CAN SIMPLIFEY BY 5  SO. 15/5 =3 20/5=4  SO OVERALL ITS 3:4

A _____________ is a line that provides an approximation of the relationship between the variables.

Answers

Answer:

srat

Step-by-step explanation:hehe i really dont know

please help me right now

Answers

Step-by-step explanation:

1. 3=5x-12

3+12=5x

15/5=x

3 = X

2. -3x + 5 = -13

-3x= -13 -5

x = -18/-3

x= 6

3. -x+6=4

-x =4-6

x=-2/-1

×=2

4.-4y=48

y =48/-4

y = -12

5. m/2=10

m=10×2

m=20

6.-2.5b=20.5

b = 20.5/-2.5

b = -4.2

7. ×/7+15=8

×/7 = 8-15

× = -7×7

× =-49

8. ⅓d-6=0

⅓d=6

d =6×3

d =18

9.(g-13)/4=9

g-13=9×4

g =36+13

g =49

10. (1-k)/5=5

1-k =5×5

-k =25-1

k =24/-1

k=-24

Which is the radius of a circle whose equation is (x-7)^2+(y-10)^2=4

Answers

Answer:

2

Step-by-step explanation:

Standard form of a circle   (x-h)^2 + (y-k)^2 = r^2

  this circle is already in this form

     the center will be at   h, k    or   7,10

       the radius^2 = 4     so radius = 2

Luke's water bottle holds 2,150 milliliters. He drinks 3.5 bottles of water each day. How many milliliters of water does he drink each day?​

Answers

Answer:

7525 milliliters

Step-by-step explanation:

because if you multiply 2150 by 3.5 you will get that number

Choose the model for the problem 2/3 ÷ 2 .

Answers

2/3 divided by 2 is the same as 2/3 multiplied by 1/2

2/3 * 1/2
that should equal 2/6, but reduced is 1/3

the only one that shows 1/3 is the model on the far right (the forth one)

hope this helped!!

Circle A has center of (2,3) and a radius of five, and circle B has a center of (1,4) and a radius of 10.

What steps will help show that Circle A is similar to Circle B?

A.) Dilate circle A by a scale factor of 2

B.) Translate circle A using the rule. (x + 1, y - 1).

C.) Rotate circie A 180° about the center.

D.) Reflect circle A over the y-axis.

Answers

Answer:

A) Dilate circle A by a scale factor of 2

Step-by-step explanation:

For two triangles to be similar, they need to have the same radius.

Circle A has a radius of 5, and Circle B has a radius of 10.

So, to make them similar, we can simply :

dilate circle A by a scale factor of 2

This would give Circle A and B the same radius, and they will be similar.

Which angles are acute?
D
A B
C
Check all that apply.
A. ZDBC
B. ZGFE
C. ZDBA
D. ZMLK
E
14
H
L
M
K

Answers

Answer:

B & C

Step-by-step explanation:

Acute angles are sharp-like angle - they are measured between 1° up to 89°. That means acute angles have measurement starting from 1 to 89.

The shape of acute angles, as said, they are namely sharp angles because their vertex and lines form sharp shape.

So what you have to do is to find angles that look like a sharp pencil/pen, probably something that can be understandable:

Sharp-looking measurements are:

∠DBA∠GFE

Keep in mind that ∠GFE is really an acute angle, but ∠HFE is a right angle.

Let’s look into more types of angles as shown in choices:

∠DBC is an obtuse angle - it is the angle measurement between 91° up to 179°∠MLK is a right angle - it is the angle measurement of exact 90° - keep in mind, only right angles can have measurement of 90°

Hence, acute angles are ∠GFE and ∠DBA

The angles which are acute are ∠GFE and ∠DBA.

What are Angles?

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given three figures and corresponding angles.

We have to find the acute angles.

Acute angles are angles which measures less than 90 degrees.

An angle which measure 90 degrees is the right angle which stands vertically.

Acute angles are less than this.

From the figure and options, acute angles are ∠GFE and ∠DBA.

Hence the acute angles are ∠GFE and ∠DBA.

Learn more about Acute Angles here :

https://brainly.com/question/10334248

#SPJ7

1 Which expression best represents the opposite of the opposite of 8 1/4 ?
A) -(+8 1/4)
B) -(-8 1/4)
C) +(-8 1/4)
D) +(+8 1/4)

Answers

I believe It is B; -(-8 1/4)

Answer:

b.

Step-by-step explanation:

We have been given a number 8¼. We are asked to find the opposite of the opposite of our given expression.

Since our given number in positive, so opposite of our given number will be:

–8¼

The opposite of new number will be:

–(–8¼)

Therefore, the expression –(–8¼) represents the opposite of the opposite of 8¼ and option 'b' is the correct

12
14
Line tis graphed below. Triangle ABC and triangle CDE are similar triangles,
D
8
line
Which statement is true?
A The slope of AC is less than the slope of CE.
B The slope of AC is equal to the slope of CE.
С The slope of AC is greater than the slope of CE.
D Line t has a variable slope.

Answers

The rise/run of AC and CE in the similar triangles are the same, the true statement is: B. slope of AC = slope of CE.

What is the Slope of the Sides of Similar Triangles?

On a coordinate plane, the corresponding sides of two triangles are always the same because the ratio of the rise over run is always the same.

Triangles ABC and CDE are similar triangles, therefore the rise over run of AC and CE, which is the slope, will be the same.

Thus, slope of AC = slope of CE.

Learn more about slope on:

https://brainly.com/question/3493733

The equation of a line is y = -4x + 10
What is the y-intercept of the line

Answers

Answer:

10

Step-by-step explanation:

the formula y = mx +c

the y is obviously, y.

m, also means the gradient has a value of -4

c is the y-intercept, so the value of c is 10.

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