solve (x-3)^2=49. select the values of x

Answers

Answer 1

Answer:

x1=-4 x2=10

Step-by-step explanation:

step 1: x-3 = +/- 7 <--- take the square roots of both sides of the equation and use both positive and negative roots

step 2: x-3 = -7

            x-3=7

step 3: x-3=-7--> x=-4

           x-3=7--> x=10

step 4:x1=-4, x2=10 is the answer


Related Questions

What is the formula to find the side?

Answers

The formula to find the side of a geometric shape depends on the shape itself. Few details like area or perimeter of a shape or surface area or volume of a solid with few other parameters should be known.

Few examples :

For a square, the formula to find the side (s) is:

s = √(A)

where A is the area of the square.

For a rectangle, the formula to find the length (l) and width (w) are:

l = A/w and w = A/l

where A is the area of the rectangle.

For a triangle, the formula to find the base (b) and height (h) are:

A = (b*h)/2

where A is the area of the triangle.

For a cube, the formula to find the side (s) is:

V = s^3

where V is the volume of the cube.

Keep in mind that these are a few examples of formulas that can be used to find the side of a geometric shape. Depending on the specific problem, different formulas may be required.

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Which can be the first step in finding the equation of the line that passes through the points (5.-4) and (-1,8) in
slope-intercept form?

Answers

In slope-intercept form, the equation of the line passing through the points (5.-4) and (-1,8) is y = -4x + 8 .

what is equation ?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter.

given

the points (5.-4) and (-1,8)

slope = [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

slope intercept form = y = mx + c

To find the equation of the line that passes through the points (5, -4) and (-1, 8),

The slope and the intercept by the slope intercept form = y = mx + c .

The slope is -4 and the intercept is 8.

In slope-intercept form, the equation of the line passing through the points (5.-4) and (-1,8) is y = -4x + 8 .

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Yolanda spends 8 2/3 hours per month playing soccer. approximately how many hours does she play soccer in a year?

Answers

Answer:

[tex]8 \frac{2}{3} \times 12 = 104[/tex]

Therefore, she spends 104 hours a year playing soccer.

Answer:

104 hours

Step-by-step explanation:

1 year = 12 months

Since 1 year equals 12 months, we multiply the time she spends in 1 month by 12 to calculate the time she spends in 1 year.

8 2/3 hours × 12

= (8 + 2/3) hours × 12

= (8 × 12 + 2/3 × 12) hours

= (96 + 8) hours

= 104 hours

Please help I have a learning disabilty and need help with this.
Find the value of x that makes a true statement.
17 + x = 3 + 17

x = _______

Answers

Answer:

17 + x + 3 + 17

X is 3

A cook wants to make enough cookies for 150 students. The cookie recipe makes
1 1/4 dozen cookies. A dozen equals 12 cookies.
How many batches does the cook need to make if each student gets one cookie?
A.3
B. 7
C.10
D. 13
E. 15

Answers

The answer is D 150 divided by 12= 12.5 :)

Answer:

C 10

Step-by-step explanation:

1 1/14 of a dozen is 15

then 150 divided by 15 = 10

I hope this is the right answer

it takes 3.3 quarts to water 1 square foot of a vegetable garden, how many gallons does it take to water a garden 10 feet by 12 feet?
A 96
B 99
C 39.6
D 396

Answers

Answer:

i got c

Step-by-step explanation:

How would the information collected using transect or quadrat sampling differ from the information collected if you had just divided the habitat into quarters and sampled only one of the quarters

Answers

I feel that dividing based off actual zoning laws and regulations would provide the best source of data. I feel as such because if you simply devise your own areas, that may make your data incorrect depending on what area a person actually associates with. If you're creating your own area, information could get misconstrued leading to inaccurate conclusions.

Sampling

Sampling means selecting the group that you will actually collect data from in your research.

zoning

Zoning is a method of urban planning in which a municipality or other tier of government divides land into areas called zones, each of which has a set of regulations for new development that differs from other zones.

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What is the radius of circle M?

Answers

Answer:

The radius is just under 4 cm.

Step-by-step explanation:

The central angle for the entire circle is 360 degrees.

The fraction (89/360)(total circle area) = 12.36m^2.

Solving for the total circle area, we get (360/89)(12.36m^2) = 50 cm^2.

Area of a circle (in general) is A = πr²

Here we know A and π and must find r² and then r:

                                        A

A = πr² becomes r² = ----------

                                        π

Here, r² = 50 cm^2 / 3.14 = 15.92 cm^2

and r = square root of r² = 3.99, or approximately 4 cm

Solve each by elimination
x+y =19
x - y = -7

Answers

x + y = 19
x - y = -7
Subtract both
2y = 26, y = 13
Plug into first equation
x + 13 = 19
x = 6

Solution: x = 6, y = 13

Answer:

x = 6

y = 13

Step-by-step explanation:

x + y = 19

x - y = -7

To eliminate x, subtract ther second equation from the first

2y = 26

y = 13

To eliminate y, add the equations

2x = 12

x = 6

Plsss help ASAP!!!! I need to finish this now!!

Answers

Answer:

your answer code would end up being 9862

composite numbers are: 40,42,44,45,46,48,49,50

4's are gone: 0,2,5,6,8,9,50

repeat are gone: 2,6,8,9

greatest to least: 9,8,6,2

Given f(x) = 3x - 5.
What is fl-4)?

Answers

Answer:

f(4)=7

Step-by-step explanation:

f(x)=3x-5

f(4)=3(4)-5

f(4)=12-5

f(4)=7

If this helps please mark as brainliest

f (4)=7 have a nice day !

Can someone explain the signs between positive and negative number ?


Your gonna get so much points from me and brainlist❤️❤️❤️

Answers

Answer:

A positive value is a value greater than zero on the right handside of the number line while a negative value is less than zero on the left handside of the number line.

Negative numbers are less than the number 0 and contain “-“ this symbol. Positive numbers are greater than 0

The perimeter of a rectangle is 84 feet long. The
length is six more than two times its width. What are
the dimensions of the rectangle? (Hint: P = 2L + 2W)

Answers

Therefore , the solution of the given problem of perimeter comes out to be length = 16.8 and width = 50.4

Establish a perimeter.

The perimeter, or total length, of a shape is referred to as its perimeter in geometry. A shape's perimeter is calculated by summing the lengths of all of its sides and edges. By adding together the lengths of all a shape's sides, one may determine its perimeter.  The circumference of a field, for instance, will be 78 yards for a rectangle with dimensions of 24 yards long by 15 yards wide.

Here,

Given :

Perimeter of rectangle = 84 feet

Thus,

Length is 6 times more than its 2 time width

=> 6L = 2W

=> W = 3L

In the perimeter formula:

=> 3L + 2L =84

=> 5L = 84

=>L = 84/5

=>16.8

and

W = 3L

=> W = 3*16.8

=> W = 50.4

Therefore , the solution of the given problem of perimeter comes out to be length = 16.8 and width = 50.4

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47.3 , 48.1 ,47.4 ,47.16 , 47.07 least to greatest,please help(,:

Answers

Answer:

47.07, 47.16, 47.3, 47.4, 48.1

Step-by-step explanation:

lol

What is the first step in a 2 step equation?

Answers

Answer:Use the following denomination (Ghana cedis 200,100,50 and 20)to find the quantities of notes

1.3584655000

2.85760000

3.146737000

4.5555627000

5.7777000

Step-by-step explanation:

What is the slope of the line that goes through (-7, -13) and (1,-5).

Answers

Answer:

1

Step-by-step explanation:

The slope would be 1. Using the equation y^2 - y^1 / x^2 -x^1, you would substitute the plots into the equation. -5 + 13 / 1 + 7 = 8/8 or 1. The 13 and 7 would be added because subtracting a negative is the same as adding a positive.

Find the volume of a right circular cylinder with a diameter of 14 inches and a height of 10 inches, answer in terms of pi?

Answers

Answer:

490π

Step-by-step explanation:

Given data

Diameter= 14 inches

Radius= 7 inches

Height = 10 inches

The expression for the volume of a cylinder is

V= πr^h

V= π*7^2*10

V= 490π

Hence the volume is 490π

A package of 10 cans of soup costs $14. An individual can costs $2. You need at least 25 cans. Find the price of each combination of items.

Answers

14 x 2= $28
5 x 2= $10
the answer is $38

Step-by-step explanation:

Since each package of 10cans costs $14

25cans would be 2 packages + 5 (since a package has 10)

So

14$ x 2 + 2$ x 5

=38$.

n \triangle NOP,△NOP, \overline{PN}\cong \overline{OP}
PN

OP
and \text{m}\angle P = 50^{\circ}.m∠P=50

. Find \text{m}\angle O.m∠O.

Answers

The value of the measure of ∠O in the given triangle will be 65°

What is triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In ΔNOP;

PN ≅ OP

So, ∠O = ∠N

And, Measure of ∠P = 50°

Now,

In the ΔNOP;

The sum of all the three angles are 180°.

The value of the measure of ∠O = x

We get;

∠O + ∠N + ∠P = 180°

Substitute ∠P = 50° and ∠O = ∠N = x we get;

x + x + 50 = 180

2x + 50 = 180

2x = 180 - 50

2x = 130

x = 65

Thus, The value of the measure of ∠O will be 65°.

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A lottery game contains 24 balls numbered 1 through 24. What is the probability of choosing a ball numbered 25

Answers

Selecting ball number 25 has no chance of happening.

Explain about the probability?

Probability is only the likelihood that something will occur. When we don't know how something will turn out, we might discuss the likelihood of various outcomes or the potential of one. Statistics is the scientific study of events that conform to a probability distribution.

It is predicated on the likelihood that something will take place. The rationale for probability serves as the theoretical probability's essential tenet. A coin has a 12% chance of landing on its head, for instance, when it is flipped.

Probability is a statistic that is used to indicate the likelihood or potential for an event to occur. Both fractions from 0 to 1 and percentages from 0% to 100% can be used to indicate probabilities.

In 25th Ball it is 0

Because there is no 25th ball

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What is the inverse of 12?

Answers

The inverse of 12  as calculated by the given data is found to be 1/12.

The inverse can be found by finding its reciprocal the number ,

inverse of 1 = 1 / 12

There are two types of inverse , additive inverse and multiplicative inverse .

The additive inverse can be found by finding the negative of  the number.  The multiplicative inverse, often known as the reciprocal, is another inverse of a number.

The multiplicative inverse, often known as the reciprocal, is another inverse of a number. The product of a reciprocal multiplied by the original number is always 1.

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Jose took a trip to South Lake Tahoe that took 65 minutes. Jose forgot to check the time as he
left, but when he got to South Lake Tahoe, his phone read 8:12 AM. What time did Jose start his
trip?

Answers

Answer:

7:07

Step-by-step explanation:

he started at 7:07 because if you take away 5 minutes from 8:12 you get 8:07 and we all know 60 minutes is an hour so 8:07 minus an hour is 7:07 hope this helps

What is the difference between an undecidable problem and an intractable problem?

Answers

Therefore , the solution of the given problem of tractable problem comes out to be Undecidable troubles are those for which there will never be a computer solution.

What does a tractable problem actually mean?

a technique that completes a manageable task in a polynomial period of time. Utilizing the polynomial upper bound is advantageous. A problem is said to be intractable if it cannot be solved in a polynomial amount of time. The bound has a minimum that is exponential.

Here,

Intractable problems would be those in which there is significant proof that, while they can be solved by a desktop, they cannot be solved quickly enough to be actually useful in practice.

Undecidable troubles are those for which there will never be a computer solution, whereas undecidable difficulties are those for which there will never be a computer solution.

Therefore , the solution of the given problem of tractable problem comes out to be Undecidable troubles are those for which there will never be a computer solution.

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8.5x + 0.5 + 3.5x - 2x

Answers

Answer:

-0.05

Step-by-step explanation:

10x+0.5

10x=-0.5

x=-0.5/10

x=-0.05

The answer is -0.05 because you do the math in your head and you get the answer by using the things you were taught

ILL GIVE BRAINLY!!
Find the value of x.

Answers

Answer:

x = 4.

Step-by-step explanation:

The lengths of the line segments on both sides of the triangle are in the same ratio, so:

3 / 2 = x+2/x

2(x+2) = 3x

2x + 4 = 3x

2x - 3x = -4

-x = -4

x = 4.

Answer:

I got 2.39 but I'm not sure if its right or not

On their birthdays, employees at a large company are permitted to take a 60-minute lunch break instead of the usual 30 minutes. Data were obtained from 10 randomly selected company employees on the amount of time that each actually took for lunch on his or her birthday. The company wishes to investigate whether these data provide convincing evidence that the mean time is greater than 60 minutes. Of the following, which information would NOT be expected to be a part of the process of correctly conducting a hypothesis test to investigate the question, at the 0.05 level of significance?
A. Being willing to assume that the distribution of actual birthday lunch times for all employees at the company is approximately normal
B. Knowing that there are no outliers in the data as indicated by the normal probability plot and boxplot
C. Using a t-statistic to carry out the test
D. Using 9 for the number of degrees of freedom
E. Given that the p-value is greater than 0.05, rejecting the null hypothesis and concluding that the mean time was not greater than 60 minutes.

Answers

Answer:

The answer is "Option E"

Step-by-step explanation:

The null hypothesis was rejected so because the p-value was greater than 0.05, indicating that perhaps the meantime was not greater than 60 minutes.

PAST DUE HOMEWORK! NEED HELP QUICK!!

Answers

Answer:

d = 46.15

A = 1672.76

Hope this helps!

Answer:

Diameter = 46.18 inches

Area = 1,674.09 square inches

Step-by-step explanation:

Circumference = pi x diameter

145 = 3.14d

divide both sides by 3.14

d = 46.1783 inches

------------------------

radius = 1/2 x diameter

r = 23.09

Area = (pi)(r)^2

A = (3.14)(23.09)(23.09)

A = 1,674.09 square inches

Please help asap..............

Answers

Answer:

what's the context of this?

SOMEONE HELP ME I DONT UNDERSTAND THIS

Answers

Answer:

Pretty sure there's 90 tens.

The answer is 90 tens because:

9 hundreds means 900 so they are asking you how many tens will it take to make 900 so the answer 90 tens. To see if I am correct multiply 90 time 10 and you should get 900. If helped mark me the brainiest!!

Ms. Sack earns $125 teaching five workout classes at Orange Theory. If she gets a 10% raise, how much will Ms. Sack earn per class after the raise?

Answers

125•0.10 = 12.5 125+12.5= 137.5 this basically means that you take 10 percent of what’s shes earning which would be $12.50, and add that on to her original salary ($125) so the answer is $137.5
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