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

Which statement is true about this set of data?
43, 50, 60, 36, 47, 50, 52, 78

A. The range is 31.
B. The mode is 78
C. The median is 51
D. The mean is 52.​

Answers

Answer:

D. The mean is 52.

Step-by-step explanation:

In order to find the mean, you add up all of the numbers and then divide that answer by how many numbers there are.

43+50+60+36+47+52+78=416

416/8=52

Answer:

D. The mean is 52.

Step-by-step explanation:

Add all numbers in the set:

36+47+50+50+52+60+78= 416

Now, divide the sum by how many numbers are in the set; in this case, there are 8 numbers so:

416÷ 8= 52

what is the answer to this equation 3 + 3/2x + 4 = 4x - 5/2x

Answers

Answer:

No solution

Step-by-step explanation:

When we take the 5/2 x to the other side, 4x and 4x cancels out. We get 7=0 which is incorrect. Therefore, x has no solution.

By the way, can you follow me on Brainly?

Thanks!

Answer:

x= [tex]\frac{7 (+-) \sqrt{113} }{8}[/tex]

Step-by-step explanation:

You have 4 hours, and 50 questions. If you have the same amount of time per question, how long will 1 question take?

Answers

4,8 minutes

Plz give brainliest

The shapes of the horizontal cross-sections of the cylinder below are not all
congruent
A. True
B. False

Answers

The answer is B because it does not cross sections of the cylinder

When Alan and Brady stood together on the scale, their total weight was 250 lb.
Brady and Charles were weighed together, and their total weight was 300 lb.
Charles and Damien weighed 280 lb. when they stood on the scale together.
Initially, when Charles, Damien, and Brady all stood on the scale together, it
registered 420 lb. How much does each of the boys weigh?

Answers

Answer:

Alan: 110 lb.

Brady: 140 lb.

Charles: 160 lb.

Damien: 120 lb.

Step-by-step explanation:

answer this question for brainliest and 20 points

Answers

Answer:

Least to greatest: 2, 3, 1

Step-by-step explanation:

Square root of 8 over 2 is about 1.41 which makes it the least value

2 is obviously equal to 2 which puts it in the middle

Square root of 7 is about 2.64 which makes it the greatest value

A coffee shop sells 40 regular coffees out of every 120 coffees they sell. Predict how many regular coffees the shop would sell if they sold 960 coffees.

Answers

Answer:

320

Step-by-step explanation:

960 ÷ 120 = 8

40 × 8 = 320

1. You start a biology experiment with 4,500 cells. The cells are continuously growing and 2 minutes later

there are about 22583 cells. What is the rate of growth per minute?

Answers

Answer:

80.65% per minute

Step-by-step explanation:

For continous growth :

A = Pe^rt

A = amount after time, t

P = initial amount

r = growth rate

22583 = 4500 * e^r*2

22583 = 4500 * e^2r

22583 / 4500 = e^2r

5.0184444 = e^2r

Take the In of both sides

1.61312 = 2r

r = 1.61312 ÷ 2

r = 0.80656

0.80656 * 100% = 80.65%

please help
1. find 15% of 120
2. what percent of 72 is 68.4
3. 12.5 is 8% of what number?
4. 48 is 40% of what number
5. what number is 62.5% of 195

Answers

For question 1:
1% = 120 ÷ 100 = 1.2
15% = 1.2 × 15 = 18
So, 15% of 120 is 18

For question 2:
68.4 ÷ 72 = 0.95
0.95 × 100 = 95%
So, the percentage is 95%

For question 3,
1% = 12.5 ÷ 8 = 1.5625
100% = 1.5625 × 100 = 156.25
So, 8% of 12.5 is 156.25.

For question 4,
1% = 48 ÷ 40 = 1.2
100% = 1.2 × 100 = 120
So, 40% of 48 is 120.

For question 5,
1% = 195 ÷ 100 = 1.95
62.5% = 1.95 × 62.5 = 121.875
So, 62.5% of 195 is 121.875

Answer:

1.  18        3. 52       5. 95%

Step-by-step explanation:

1. 120 x 0.15= 18.00 (15% of 120 is 18)

3. 84 x 0.03= 2.52

5. 72• x / 72 = 68.4/ 72

x=0.95 ⇒ 95%

Determine the slope of the line that is perpendicular to the line shown in the picture below.

A. 3
B. 1/3
C. -3
D. 1/3

Answers

Answer:

-1/3 i think i might be wrong

Step-by-step explanation:

Answer:

-1/3 because 3/-1 = -3 and -3/3=-1

Step-by-step explanation:

PLEASE HELP Select from the drop-down menus to correctly complete the sentence.The

outcome?,or sample space? or probability?

of a compound event is a number between 0 and 1? or 0 and 10? or 1 and 10?or 1 and 100?.

Answers

Answer:

The probability of a event is a number between 0 and 1 or 1 and 10 or 1 and 100.

Step-by-step explanation:

The correct answer is - The probability of a event is a number between 0 and 1 or 1 and 10 or 1 and 100.

Reason -

Probability - It is a number between 0 and 1

Sample space - All the possible outcomes of an experiment.

Outcome - One of the individual results that can occur in an experiment.

Event: A subset of the sample space

Compound event : A event with more than one outcome.

Need helpppp helppp plzzzz 20 points

Answers

Answer: 7^3/7^6= 1/343

Step-by-step explanation: We move 7^-6 to a denominator because we cannot have a negative exponent in the numerator.

So it would be 7^3/7^6

Which then would be 7*7*7/7*7*7*7*7*7

Which would equal 343/117649

Simplify and you get 1/343

it’s 69 bc add 1 to 19

Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below.

sigma squared = StartFraction (87 minus 78) squared + (46 minus 78) squared + (90 minus 78) squared + (78 minus 78) squared + (89 minus 78) squared Over 5 EndFraction. = StartFraction 9 squared minus 32 squared + 12 squared + 0 squared + 11 squared Over 5 EndFraction. = StartFraction 81 minus 1,024 + 144 + 0 + 121 Over 5 EndFraction. = StartFraction negative 678 Over 5 EndFraction. = negative 135.6

What is the first error she made in computing the variance?
Emi failed to find the difference of 89 - 78 correctly.
Emi divided by N - 1 instead of N.
Emi evaluated (46 - 78)2 as -(32)2.
Emi forgot to take the square root of -135.6.

Answers

Answer:

135.6

i think

Step-by-step explanation:

Emi evaluated (46 - 78)² as -(32)². The variance of the given data is 274. Therefore, option C is the correct answer.

Given that, the population data set is 87, 46, 90, 78, and 89.

Here, mean = [tex]\bar x[/tex] =78 and n=5

We know that, mean [tex]\bar x=\frac{\sum x_i}{n}[/tex] and variance = [tex]\sigma^2=\frac{\sum (x_i-\bar x)^2}{n}[/tex].

Here, σ² = [(87-78)²+(46-78)²+(90-78)²+(78-78)²+(89-78)²]/5

= (9²+(-32)²+12²+0²+11²)/5

= (81+1024+144+121)/5

= 1370/5

= 274

So, the variance is 274.

Therefore, option C is the correct answer.

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Which of the following statements about a rhombus is not true?
A rhombus is a parallelogram.
A rhombus has two sets of parallel sides.
A rhombus has four sides of equal length.
A rhombus has four right angles.

Answers

i think it’s the last one, “ a rhombus has four right angles “

Answer:

„A rhombus has four right anglesv” → is not true.

Step-by-step explanation:

This is a parallelogram. It is a quadrilateral with two pairs of parallel sides. Here, the opposite angles are alternate, that is, they have togheter 180°.

Rhombus

This is a rhombus. It is a quadrilateral whose four sides all have the same length. Here, the diagonals of a rhombus intersect at equal angles.

A rhombus has opposite angles equal and the figure formed by joining the midpoints of the sides of a rhombus is a rectangle, and vice versa. It has an inscribed circle.

Good luck:)

solve the following equation
x/3 +4 =7

Answers

Answer:

Sorry if im wrong..

Step-by-step explanation:

7 = (7 x)/3 + 4 = 21 x + 4 = 7

X/3+4=7
-4 -4

X/3=3
3.3 3.3

X=9

Triangle JKL with vertices J(1,-1), K(2,3), and L(3,-2) in the line x=4 ANSWER RIGHT NOW BEEN WAITING AN HOUR NOW

Answers

Answer:

hahhahahqhqhqhhajajahahahahahwhwhwhwhwh

Assignment
Active
Finding the Unknown Angle Measure
What is the measure of M?
v
52
1
P.
78
M

Answers

Answer:

52+78+x=180

130+x=180

X=180-130

X=50°

Round off 631 to the nearest 100

And also round off 8348 to the nearest 100

Answers

Answer:

600

8300

Step-by-step explanation:

Answer:

1) 600

2) 8300

Step-by-step explanation:

Okay so rounding is simple

If the place digits before the digit your rounding to is 1-4 then just everything stays the same. If its 5 or above then you round the number up and put everything else into 0s.

Help a formula word problem. Thank you if you help. You're a genuis!​

Answers

Answer:  Choice (3) 28

==========================================================

Explanation:

We start with one block at the very left side. This is algebraically written as [tex]a_1 = 1[/tex]. The small subscript '1' means we're dealing with the first term, and that is set equal to 1. In other words, the first term is 1.

The second term is three since we have three blocks as the next figure down the line. So [tex]a_2 = 3[/tex]. We can then see that [tex]a_3 = 6[/tex] and [tex]a_4 = 10[/tex]

The sequence of the first four terms are: 1, 3, 6, 10.

The notation [tex]a_n = a_{n-1} + n[/tex] tells us "to get the nth term [tex]a_n[/tex], we add the previous term ([tex]a_{n-1}[/tex]) to the value of n".

For example, if we wanted the third term, we would add the second term a2 onto the value of n = 2. In order to know a2, we need the diagram or you would have to use the recursive formula to find it.

Furthermore, it means that to find the fifth term [tex]a_5[/tex], we do the following

[tex]a_n = a_{n-1} + n\\\\a_5 = a_{5-1} + 5\\\\a_5 = a_{4} + 5\\\\a_5 = 10+5\\\\a_5 = 15[/tex]

The fifth figure will have 15 small little blocks to it. You can draw this out by copying the fourth figure, and then adding 5 smaller blocks to the very bottom portion. The sixth figure is basically a copy of the fifth one, but we have six little blocks along the bottom. This is the "plus n" being applied in the recursive formula.

So the 6th figure will have 15+6 = 21 blocks in total while the 7th figure has 21+7 = 28 blocks. This points us to choice (3).

Side note: These are known as triangular numbers. Note how the gaps between consecutive values of 1,3,6,10,15,21,28 is +2,+3,+4,+5,+6,+7.

SYTEM OF INEQUALITIES , 65 points.
HELP

Answers

Answer:

[tex]2x+3y\geq 60\\x>10[/tex]

Step-by-step explanation:

We know that she will be selling bracelets for $2 each and earrings for $3 each. That means we will have 2x+3y, where x is the number of bracelets she sells and y is the number of earrings she sells. Then we will have [tex]\geq 60[/tex] because she wants to sell at least $60 worth of earrings and bracelets. That means the amount she makes from bracelets and earrings combined has to equal 60 or more, thus we use the greater than or equal to sign.

Now we have [tex]x>10[/tex], where x is still the number of bracelets sold. She said she will sell more than 10, which means we will just have [tex]>10[/tex]. If she said she wanted to sell at least 10, then it would be [tex]\geq10[/tex].

Therefore the system of inequalities is:

[tex]2x+3y\geq60\\x>10[/tex]

Hope this helps!

ILL BRAINLIEST YOU IF YOU GET IT RIGHT

Which diagram shows a pair of angle measure that proves lines c and d are parallel?

Answers

Answer:

C

Step-by-step explanation:

At first glance, it seems like all the answers work. But some careful thinking allows us to find the correct answer.

For this question, we will be using the process of elimination.

First, we can eliminate D, because it does not provide any angles on line d, so we cannot prove that line c is parallel to line d.

Second, we can eliminate A. It seems that the 2 angles makes it so that lines c and d must be parallel, however, that is only true if lines a and b are parallel. Since we don't know whether or not lines a and b are parallel, we cannot prove that lines c and d are parallel, so we can eliminate this choice.

Third, we can eliminate B. Like the diagram in A, this diagram can only prove lines c and d are parallel if lines a and b are parallel, and since we don't know whether or not lines a and b are parallel, we cannot prove tat lines c and d are parallel, so we can eliminate this choice.

We are left with C, so the answer must be C.

Of course, just to make sure, we will also check diagram C. Because the 2 angles provided in the diagram are on line a and none are on line b, we do not need line a to be related to line b in any way, as such we can pretend that line b does not exist in this diagram. We can then see that lines c and d must be parallel for this diagram, or else the angles would not work, so C is correct.

Two angles whose sum is 180° are called supplementary angles. The correct option is C.

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

When two parallel lines are cut by a transverse. The angles formed on the exterior of the parallel lines are known as the Exterior Angle.

Now, For two lines two be parallel in the given diagram the measure of the angle the exterior angle on the same side of the transverse should be supplementary to each other.

The diagram shows a pair of angle measure that proves lines c and d are parallel in option c. This is because lines c and d are parallel and a is transversal to the two lines. And the measure of the exterior angles formed on the same side of the transversal is supplementary.

Hence, the correct option is C.

Learn more about Supplementary angle here:

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Kyle is a satellite radio sales representative. He receives 7% commission on all sales. If
the total sales for the year were $345,000, what would his commission be?

Answers

Answer:

24,150

Step-by-step explanation:

7% of 345,000 = 24,150

????????????????? I NEED HELP WITH THIS WILL GIVE BRAINLIEST

Answers

Answer:

#3 is 40

#4 is 90

Step-by-step explanation:

The circumference of a circle is 2\piπ m. Find its radius, in meters.


NO FILES TYPE THE ANSWER PLZ

Answers

Answer: r=C2π=22·π≈0.31831

Hope this helps!

Find the 1st 4 iterations if f(o)= -2, f(n)= 3f(n-1)-2n

Answers

Answer:

Step-by-step explanation:

f(0) = -2

f(1) = 3*(f(1 - 1)) -  2*1

f(1) = 3(-2) - 2

f(1) = - 6 - 2

f(1) = - 8

f(2) = 3*(f(1)) - 2*2

f(2) = 3*(-8) - 4

f(2) = -24 - 4

f(2) = - 28

f(3) = 3*(f(2)) - 2*3

f(3) = 3*-28 - 6

f(3) = -84-6

f(3) = - 90

f(4) = 3*f(3) - 2 * 4

f(4) = 3*-90 - 8

f(4) = -270 - 8

f(4) = -278

a woman sold an article for 400.00and made a profit of 25%,Find ty cost price and profit​

Answers

Answer:

$100 profit, $300 cost

Step-by-step explanation:

So 25% of $400 is $100, now we know she made $100 on the article

and the other $300 was the amount used to make the article i'm asuming

A woman sold an article for 400.00

made a profit of 25%

Cost price and profit​ is $100 profit, $300 cost.

What are the 4 types of profit?

There are four levels of profit or profit margins: gross profit, operating profit, pre-tax profit, and net profit.

These are reflected on a company's income statement in the following sequence: A company takes in sales revenue, then pays direct costs of the product of service.

What is profit and example?

Profit is a term that often describes the financial gain a business receives when revenue surpasses costs and expenses. For example, a child at a lemonade stand spends one quarter to create one cup of lemonade. She then sells the drink for $2. Her profit on the cup of lemonade amounts to $1.75.

To learn more about Profit, refer

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7. What is the image of p for a dilation with center (0,0) and a scale factor of 2.5?

A (-2.5, 5)
B (2.5, -5)
C (2, 2.5)
D (-5, -2.5)

Answers

Answer:

A (-2.5, 5) Might Not Be Right

Step-by-step explanation:

what are the coordinates of the vertex of the graph or table is it a maximum or minimum

Answers

Answer:

I'm pretty sure the answer is D.!

Thank you so much :)

Answers

i believe the answer is the fourth option.sorry if incorrect and good luck

Answer:

b

Step-by-step explanation:

In the equation: (16)^3=2^3/2x how could you solve for x?

Answers

Answer:

x = 8

Step-by-step explanation:

16 is the same as 2^4

(2^4)³ = 2^3/2x

2^12 = 2^3/2x

as long as bases are both the same then set exponents equal

12 = [tex]\frac{3}{2}[/tex]x

3x = 24

x = 8

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