Mathematics High School

What are the two solutions of the equation x^2 − 10 = 90 ?
Show work :)

Answers

Answer 1

Answer:

-10 and 10

Step-by-step explanation:

subtracting what is to the right of the equal sign from both sides of the equation :  x^2-10-(90)=0

step 1 - A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

(at the end of step 1 it should look like this) =  (x + 10)  •  (x - 10)

solve as many equations as there are terms in the product

any solution of term = 0 solves product = 0 as well.

Answer 2

Answer:

x = 5 ±√115

Step-by-step explanation:

x² - 10x - 90 = 0

You can solve for x by doing it in 2 ways: Completing the square and by using the quadratic formula

Completing the Square

(x² - 10x + 25) - 25 - 90 = 0

(x - 5)² - 115 = 0

(x - 5)² = 115

x - 5 = ±√115

x = 5 ±√115

Quadratic Formula

√460 = √4 X √115

Hence 2√115

What Are The Two Solutions Of The Equation X^2 10 = 90 ? Show Work :)

Related Questions

What is the solution to the linear equation?
x-= + x
x = -5
x=-1/6
x=1/6
x = 5

Answers

Answer:

i will leave a comment with the answer

Step-by-step explanation:

Answer:

Answer -5 A

Step-by-step explanation:

What is the y value in the linear equation below when x is 8?

6 x − 10 y = 18

Answers

Y=3
Hope this helps:)

Explain how what is perceived can be different from what is sensed, including how attention and environmental cues can affect the ability to accurately sense and perceive the world.

Answers

The knowledge of the world depends on the senses: vision, hearing, taste, smell.

Sensation and perception occur together and normally we don't distinguish between the two separate processes.

It is sensed including how attention and environment cues can affect the ability to accurately sense and perceive the World.

Find the value of x

A - 75
C. 75
B-15
D. 15

Answers

The answer is letter c


Pick two integers a and b and two positive integers p and q. On a coordinate
plane, draw the rectangle with vertices A(a,b), B(a+p,b), C(a+p,b+q), and D(a,b+q).

Answers

Answer: D

Step-by-step explanation:

3(2x+5)=2(3x+3) solve for x

Answers

Answer:

no solution

Step-by-step explanation:

Answer:

no solution or ø

Step-by-step explanation:

Distribute: 6x+15=6x+6

Move the 6x to the other side: 15=6

15 does not equal six so it is no solution or ø

Hope this helps

please help this question is making me angry it keeps saying it's wrong please I'm begging you ​

Answers

Answer:

y = 1/7x + 23/7 or y = 1/7x + 3 and 2/7

Step-by-step explanation:

If you are learning about this, I suppose you know the formula or how to get the slope. You want to divide the rise over run or take the two y values divided the two x values:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The two points we have are (-2, 3) and (5, 4)

So:

4 - 3 / 5 - (-2)

1 / 5 + 2

Slope: 1 / 7

Now we want to find b in y = mx + b,

We can write it as y = 1/6x + b, then plug in a y and x value:

3 = 1/7(-2) + b

3 + 2/7 = b

b = 23/7

We can check by using the other point we have:

4 = 1/7(5) + b

4 - 5/7 = b

b = 23/7 or 3 and 2/7

Then the equation is: y = 1/7x + 23/7

21 - (3 + 5 + 8) = 21 - 16 5 Miles

Answers

Answer:

5

Step-by-step explanation:

[tex] \textsf{ Hey\: there!}[/tex]

Equation

[tex]\mathsf{21 - (3 + 5 + 8) = 21 - 16}[/tex]

First work what's in the parentheses

[tex]\mathsf{3 + 5 + 8)} \\ \mathsf{3 + 5 = 8} \\ \mathsf{(8 + 8) = 16}[/tex]

New equation

[tex]\mathsf{21 - 16 = 21 - 16}[/tex]

[tex]\mathsf{21 - 16 = 5} \\ \mathsf{21 - 16 = 5} \\ \\ \\ \mathsf{5 = 5}\checkmark[/tex]

YOUR ANSWER Thus your answer is: [tex]\boxed{\mathsf{true}}\checkmark[/tex]

[tex]\mathsf{Good \: luck \: on \: your \: assignment \: and \: enjoy \: your \: day!}[/tex]

~

[tex]\frak{LoveYourselfFirst:)}[/tex]

Given: 3x - 2 ≤ 2x + 1.

Answers

Answer:

i think it. is x greater than three if is wrong i tried

Consider the function f(x) = 4x - 7 . What is f(7) ?

Answers

F(7)=4(7)-7
F(7)=28-7
F(7)=21
So your answer is 21
21 bc u just plug in 7 and then it’s 4x7 which is 28 then subtract 7 and u get 21

pls respond .............

Answers

Answer:

D. 10x^2+4x+3

Step-by-step explanation:

You get this by adding all the terms!

Answer: D. 10x^2 + 4x + 3

To find the combined area, add both of the areas together.

A = (3x^2 - x + 7) + (7x^2 + 5x - 4) (Remove the parentheses)

A = 3x^2 - x + 7 + 7x^2 + 5x - 4 (Combine the like terms)

A = 10x^2 + 4x + 3

∴ the combined area of Tiffany's fence and lawn is 10x^2 + 4x + 3.

Find all points having a y-coordinate of 7 whose distance from the point (1,2) is 13

Answers

Answer:A B C and D because there are usually 4 points

Step-by-step explanation:

A little league baseball team is ordering hats. The graph shows the relationship between the total cost, in dollars, and the number of hats ordered.

What does the slope of the graph tell us in this situation?

Answers

The slope tells us that the cost increases as the number of ordered hats increases.

Given,

A little league baseball team is ordering hats.

The graph shows the relationship between the total cost, in dollars, and the number of hats ordered.

We need to find out what the slope of the graph tells us in this situation.

What is the slope of a graph?

The slope in a graph tells us the relationships between the data on the x-axis and the y-axis.

The points on the slope give the relationships between the particular point on the x-axis and the y-axis.

The slope tells us the rate of change of y relative to x.

We see that,

If the number of orders of hats is 1, the total cost is $50.

1 order = $50

Similarly,

2 order = $60

3 order = $80

4 order = $90

5 order = $100

6 order = $120

7 order = $130

8 order = $150

9 order = $160

10 order = $170

11 order = $190

We see that as the order of hats increases the cost also increases.

Thus the slope tells us that the cost increases as the number of ordered hats increases.

Learn more about slope in a graph here:

https://brainly.com/question/14548961

#SPJ2

A bank is going to hire 5 new employees. There are 12 applicants. Which ratio represents the number of applicants to new employees?
( but the equation of how to get it)

Answers

Answer:

it is recruiting yield

Step-by-step explanation:

what fraction is equivalent 35%


PLZZZZ HELP ME

Answers

Answer:

7/20

Step-by-step explanation:

first we want to write 35% like [tex]\frac{35}{100}[/tex] and divide both the numerator and the denominator by 5 and when we do that we get [tex]\frac{7}{20}[/tex]

Hope this helps.

Which city is cooler, Mobile (3°F) or Memphis (9°F)?

Answers

Answer:mobile 3f

Step-by-step explanation:

Answer:

Mobile is cooler. 3F is lower than 9F. In celsius, 3F would be -16 while 9F would be -12. Both cities would be really cold, but Mobile would be colder.

Step-by-step explanation:

hope this helps!

a person bikes 2 1/2 miles at constant rate in 1/8 of an hour what distance , in miles , does the person bike in an hour

Answers

Answer: The person bike 20 miles in an hour.

Step-by-step explanation:

Given: At a constant speed, a person travels [tex]2\dfrac12[/tex] miles in [tex]\dfrac18[/tex] hour.

As [tex]2\dfrac12=\dfrac{2\times2+1}{2}=\dfrac{5}{2}[/tex]

So, in [tex]\dfrac18[/tex] hour, distance traveled = [tex]\dfrac52[/tex] miles

As time and distance are proportional, Multiply 8 om both sides , we get  

In 1 hour, distance traveled = [tex]\dfrac52\times8[/tex] miles

[tex]=5\times4[/tex] miles= 20 miles

Hence, the person bike 20 miles in an hour.

A rectangular swimming pool measures 60 meters in length and 30 meters in width. Joey creates a scale drawing of this pool using the scale 5 cm : 12 m. Find the length, width and perimeter of the pool in Joey's scale drawing. Be sure to include units in your answer.

Answers

Answer:

Length = 25cm

Width = 12.5 cm

Perimeter = 75cm

Step-by-step explanation:

Given that:

Actual measurement of rectangular swimming pool:

Length = 60 m

Width = 30 m

Scale = 5cm : 12 m

dimension of scale drawing

Length = 5/12 * 60 = 25cm

Width = 5/12 * 30 = 12.5cm

Perimeter of Scale drawing :

2(length + Width)

2(25cm + 12.5cm)

2(37.5cm)

= 75cm

What is 3(x - 4) in algebra tiles?

Answers

Answer:

3x-12

Step-by-step explanation:

Answer:

3x-12

Step-by-step explanation:

Multiply what you see in the parenthesis

3(x-4)  

= 3x - 12

I need help please!

Which point is located in quadrant IV?
(–2, –4)
(–2, 4)
(2, –4)
(2, 4)

Answers

the point located in the fourth quadrant would be (2,-4)

Answer:

(-2, 4)

Step-by-step explanation:

If you look at the quadrants on the graph, you could see that quadrant I holds only positive values (+, +). For quadrant II, it would hold (-, +) values. For quadrant III, it would hold (+, -) values. Lastly quadrant IV would hold (-, -) values.

So to answer the question, only (-2, 4) would be correct.

I also attached a graph of all the quadrants for you, just to understand the where all the positive and negative values are on the graph when it comes to quadrants.

Hope this helped!

-Bob Ross

A factory makes 2.3 feet of rope
per minute. How many feet of rope
will the factory make in 7 minutes?

Answers

Answer:

16.1 ft of rope

Step-by-step explanation:

2.3 x 7=16.1

Answer:

16.1 feet per minute

Step-by-step explanation:

7×2=14

7×.3=2.1

2.1+14=16.1

Solve the systems of inequality’s. Show all work


x = -4
1-3x + 2y = 4

Answers

Answer:

-3x+2y=14

-3(-4)+2y=14

12+2y=14

12+2y=14

subtract 12 both sides

2y=2

divide by 2

y= 1

How do I prove an answer right

Answers

Answer:

When you ask a question and someone answers, you don´t really know if it could be the correct answer or not. You just have to put trust in that person and hope for the best lol

Step-by-step explanation:

You could prove an answer right by having proof or witnesses. Like you could say that a person who studies that subject and agrees with you has to convince that you’re right because the people that specialize in that subject know what they’re talking about so they must be able to back you up and say you’re right

Write the equation of the line parallel to y = 3/4 x + 6 through (8, -3)

Answers

Answer:

y= 3/4x +3

Step-by-step explanation:

Use point-slope form: y+3= 3/4(x+8)

Simplify: y+3= 3/4x+6

Simplify more: y= 3/4x+3

Hope this helped!

Please help it's argent...!
and also give explanation. thx!​

Answers

Answers:

a = 63

b = 27

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

Explanation:

For now, focus on triangle COA.

Since OC and OA are the two radii, this means OC = OA. Furthermore, it means triangle COA is isosceles.

Any isosceles triangle has its base angles congruent to one another. In this case, the base angles are A and C. Both are equal to lowercase 'a'.

So now we know that triangle COA has angles A = a, C = a, O = 54. The three angles of any triangle add to 180

C+O+A = 180

a+54+a = 180

2a+54 = 180

2a = 180-54

2a = 126

a = 126/2

a = 63

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

Now turn your attention to triangle ABC. This is a right triangle (due to Thales Theorem). The right angle is at angle C, so C = 90.

Use the same idea as before to find b

A+B+C = 180

a+b+90 = 180

63+b+90 = 180

b+153 = 180

b = 180-153

b = 27

Enter the equation in slope intercept form. The line passes through (3,2) and (4,6). The equation of the line is ?

Answers

Answer:

y=4x-10

Step-by-step explanation:

quotients to 2 divide by 2

Answers

Answer:1...

Step-by-step explanation:

Here are two paint mixtures:



• `3` cups of white and `4` cups of blue.

• `6` cups of white and `8` cups of blue.



Both mixtures make the same color because they are in equivalent ratios.



Which of these mixtures is also in an equivalent ratio?

Answers

I- but aren’t both ratios the same so they both equivalent

You have $12,241.93 in a brokerage account, and you plan to deposit an additional $5,000 at the end of every future year until your account totals $210,000. You expect to earn 10% annually on the account. How many years will it take to reach your goal? Round your answer to the nearest whole number.

Answers

Answer:

The number of years is  15 years

Step-by-step explanation:

From the question we are told that

     The present value is  [tex]PV = - \$ 12,241.93[/tex]

     The year payment required to reach future goal is [tex]PMT = - \$5,000[/tex]

      The future goal is  [tex]FV = \$210,000[/tex]

      The interest per year is [tex]r = 10\% = 0.10[/tex]

The negative sign shows that the fund are not gain made but they are being deducted        

Using the  excel formula NPER (r ,  PMT ,  PV ,  FV , 0  )  

Here the 0  stands for type  

The implantation on excel is shown on the first uploaded image

       

x+y=-11
convert from standard form to slope intercept​

Answers

Answer:

y = - x - 11

Step-by-step explanation:

General slope intercept formula is y = mx + c

Hence you just need to rearrange this equation (put x on the other side)

Y=-x-11 is the answer :)
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