a^2-36=5a

A. {4,-9}
B. {5+√61/2, 5-√61/2}
C. No solution
D. {9,-4}

A^2-36=5a A. {4,-9}B. {5+61/2, 5-61/2}C. No Solution D. {9,-4}

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Given

a² - 36 = 5a ( subtract 5a from both sides )

a² - 5a - 36 = 0

Consider the factors of the constant term (- 36) which sum to give the coefficient of the a- term (- 5)

The factors are - 9 and + 4 , since

- 9 × + 4 = - 36 and - 9 + 4 = - 5 , then

(a - 9)(a + 4) = 0 ← in factored form

Equate each factor to zero and solve for a

a - 9 = 0 ⇒ a = 9

a + 4 = 0 ⇒ a = - 4

solution is { - 9, 4 } → D


Related Questions

URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (29pts)

Answers

Answer:

answer is B

Step-by-step explanation:

I am in high school and I learned this a month ago anyways

Explain how you know that 88 is a solution to the equation 18x=11 by completing the sentences: The word "solution" means . . . 88 is a solution to 18x=11 because . . .

Answers

Correct Question:

Explain how you know that 88 is a solution to the equation 1/8x =11 by completing the sentences:

The word "solution" means . . .

88 is a solution to 1/8x=11 because . . .

Answer/Step-by-step explanation:

✔️The word solution means the value of the unknown variable, x. This means, when the value of x is substituted into the equation, the equation becomes balance as the value on the left equals the value on the right.

✔️88 is a solution to ⅛x = 11 because:

if we substitute x for 88 into the equation, both sides would be equal.

Thus:

⅛×88 = 11

11 = 11

Erza's bill for breakfast at a Restaurant was $98.85 . he left a 20% tip. what was the total cost if his breakfast, including tip?​

Answers

Answer:

Step-by-step explanation: first you have to divide to get your answer

98.85/20%= $494.25 is ur answer

what is the slope of the line if the equation is 5x-3y=9

Answers

Answer:

Slope = 5/3

Step-by-step explanation:

5x - 3y = 9

Write in slope y-intercept form: y = mx +b

-3y = -5x + 9

Divide the whole equation by (-3)

[tex]\frac{-3y}{-3}=\frac{-5x}{-3}+\frac{9}{-3}\\\\y =\frac{5}{3}x- 3[/tex]

Slope =5/3

The manager of a store increases the price of a popular product by 7%. Let t be the original price of the product. The new price is t + 0.07t. Find an expression equivalent to the new price. I NEED HELP ASAP PLEASEEEEEEEEEEE!!!!

Answers

Answer:

0.07t+t

Step-by-step explanation:

The required new expression after increasing the price by 7% is 1.07t, where t is the original price.


The manager of a store increases the price of a popular product by 7%. let t be the original price of the product. The new price is t + 0.07t.
to find an expression equivalent to the new price.

What is the cost price?

Cost price is the price for the buyer pays to the seller for an object or product.

Here, let the whole proportion of the price of the product is t.
now price increased by 7% so 7/100*t = 0.07*t
The total increase in price  = t + 0.07t
                                    = 1.07 * t
So the new expression for the product after a 7% hike in price, 1.07t

Thus, the required new expression after increasing the price by 7% is 1.07t, where t is the original price.

Learn more about cost price here:

https://brainly.com/question/11027396

#SPJ5











omg! please help! it’s due in 4 hours and i don’t know the answers to it

Answers

-3 i think or -5 depending on

Ratio and simplify the ratio helpp​

Answers

1: -4/1
2: 1/2
3: 1/4
4: -4/1

I hope those r the correct answers

solve it 7/10+2/3

pls explain​

Answers

41/30. write all numbers above the least common denominator. 21+20 over 30. Then add 21+20=41:) Let me know if you need more help!
The other person who answered is correct...

plz help me with this question

Answers

The correct answer is 50

Which expression is equivalent to the one below?

14(2x + 4)

Answers

Answer:

Step-by-step explanation:

14(2x+4)

14(2(x+2))

28(x+2) or

28x+56

Answer: 28x + 56 or 14(2x) + 14(4). (They are equivalent)

Step-by-step explanation:

Distribute 14 to both 2x and 4.

14(2x+4) = 14(2x) + 14(4)

=28x + 56

A wheel on Ravi's bicycle is 0.5m in diameter. Ravi races the bicycle for 47m. How many times does the wheel turn as the bicycle travels this distance?
Use the value 3.14 for π. Round your answer to the nearest tenth. Do not round any intermediate steps.

Answers

Answer:

29.9 times or approximately 30 times

Step-by-step explanation:

circumference=

[tex]\pi d[/tex]

3.14×0.5

=1.57

so, 47/1.57

=29.9363057325

Use the Pythagorean Theorem to find the distance between points F and C.


What is the distance between (-4,-1) and ( -2,-2)

Answers

Answer:

-2, -1

Step-by-step explanation:

The verticals of the triangle shape are A (-2, 4) , B (-2,3) , and C (-5,2). If ABC is reflected across the line y = -1 to produce the image of A'B'C', What's the coordinate of B' after a reflection across the line y=-1?

Answers

Given:

The vertices of a triangle are A (-2, 4) , B (-2,3) , and C (-5,2).

Triangle ABC is reflected across the line y = -1 to produce the image of A'B'C'.

To find:

The coordinate of B' after a reflection across the line y=-1.

Solution:

If a figure is reflected across the line y=b, then

[tex](x,y)\to (x,-(y-b)+b)[/tex]

[tex](x,y)\to (x,-y+b+b)[/tex]

[tex](x,y)\to (x,2b-y)[/tex]

The given triangle ABC is reflected across the line y=-1. So, the rule of reflection is

[tex](x,y)\to (x,2(-1)-y)[/tex]

[tex](x,y)\to (x,-2-y)[/tex]

The coordinates of point B are (-2,3). So,

[tex]B(-2,3)\to B'(-2,-2-3)[/tex]

[tex]B(-2,3)\to B'(-2,-5)[/tex]

Therefore, the coordinates of point B' are (-2,-5).

What’s the answer to this problem?

Answers

E=43

Well H= 121, which would mean G=121 as well and the angle opposite of it and since a triangle is equal to 180 you would add 16 to 121 (it equals 131)and subtract the total of that with 180 which would equal 43 therefore measurement E equals 43
I hope it makes sense and helps:)

I dont know how to do this pls help me ​

Answers

x = 36 Answer

By Pythagoras Theorem

PLEASE HELP I BEG YOU!!!
What is the longest line in a cube that has a side length of 7 cm?

Answers

Answer:

14cm

Step-by-step explanation:

All side lengths in a cube will be 7 as the properties of a cube are such that all the side lengths are the same.

Think of the longest line in a cube as a hypotenuse on a triangle.

[tex]7^{2} + 7^{2} = c^{2}[/tex]

49 + 49 = [tex]c^{2}[/tex]

[tex]c^{2}[/tex] = 98

c = [tex]\sqrt{98}[/tex]

[tex](\sqrt{98})^{2} + (\sqrt{98} )^{2}[/tex] = [tex]c^{2}[/tex]

[tex]c^{2}[/tex] = 98 + 98

[tex]c^{2}[/tex] = 196

c = [tex]\sqrt{196}[/tex]

c = 14

The longest line in a cube that has a side length of 7cm is 14cm.

Find g−1(x) when g(x)=3/5x−9.

A) 5/3x+1/5
B)5/3x−1/9
C)5/3x+9
D)−3/5x+9

Answers

Answer: C
I hope this helps you !

Area of Shape please !!!

Answers

Answer:

135 cm squared

Step-by-step explanation:

9x20 (for the big bottom rectangle) plus (14-9)x11 because you already found the area of the big rectangle.


Find the measure of the indicated angle. Round to the nearest degree.
21
33

Answers

Answer:

The angle is 50 degrees

Step-by-step explanation:

Sine = Opposite / Hypotenuse

Sine ? = 21 / 33

21 / 33 = 0.6363

Cos-1 of 0.6363 is 50.4788

Round to the nearest degree

50.4788 = 50

sine^- 1 21/33 = θ

Answer: Approximately 0.7 or 70 degrees.

Please please someone help me!!! ill give brainliest this is 20 points pleeasee help

Answers

The population Its 860 u give only 8 points

Answer:

F = - 20h + 450

Step-by-step explanation:

Since the relationship is linear then the function is of the form

F = ax + b

Calculate a using the slope formula

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

with (x₁, y₁ ) = (2, 410) ) and (x₂, y₂ ) = (1, 430) ← 2 ordered pairs from the table

a = [tex]\frac{430-410}{1-2}[/tex] = - 20 , then

F = - 20h + b ← is the partial equation

To find b substitute any ordered pair from the table into the partial equation

Using (3, 390 ), then

390 = - 60 + b ⇒ b = 390 + 60 = 450

F = - 20h + 450 ← linear function

Solve the equation. 1/3a = -5​

Answers

Answer:

The answer is a = -15

Step-by-step explanation:

1/3a = -5

3 × 1/3a = 3 × (-5)

a = 3 × (-5)

a = -3 × 5

Answer is a = -15

Answer:

a = 15

Step-by-step explanation:

Just answer

A hot air balloon is 70 m above the sea. Two buoys A and B are due East of the
balloon.
The angle of depression from the balloon to buoy A is 60°.
The angle of depression from the balloon to buoy B is 40°.
Calculate the distance AB. (Round to the nearest tenth.)

Answers

Answer:

Step-by-step explanation:

in the rough drawing i've included we want to find the distance of AC and BC and the subtract the shorter from the longer  or

BC- AC = AB

does this strategy seem like a good one?

use the mnemonic SOH CAH TOA to remember how sin, cos, and tan, fit on a triangle

SOH     Sin = Opp / Hyp

CAH    Cos =Adj / Hyp

TOA   Tan = Opp / Adj

where Opp = Opposite side,  Adj = Adjacent side , and Hyp = Hypotenuse

we are given an angle and the Opposite side so we can use Tan , since that has the thing we want to find, and the things we know.

when  AC is the Adj side it's

Tan(60) = 70 / Adj

Adj = 70 / Tan(60)

Adj = 40.4145

Dist. of AC = 40.4145 m

When BC is the Adj side it's

Tan(40) = 70 / Adj

Adj = 70/ Tan(40)

Adj = 83.42275

Dist. of BC = 83.42275

BC - AC = AB

83.45575 - 40.4145 =43.008

to the nearest tenth  AB = 43.0 m

solve the x. 4x+9=2x-1​

Answers

The answer to your question is x= -5

Answer:

The answer is x = -5.

Step-by-step explanation:

1) Subtract 2x from both sides.

[tex]4x + 9 - 2x = - 1[/tex]

2) Simplify 4x + 9 - 2x to 2x + 9.

[tex]2x + 9 = - 1[/tex]

3) Subtract 9 from both sides.

[tex]2x = - 1 - 9[/tex]

4) Simplify - 1 - 9 to -10.

[tex]2x = - 10[/tex]

5) Divide both sides by 2.

[tex]x = - \frac{10}{2} [/tex]

6) Simplify 10/2 to 5.

[tex]x = - 5[/tex]

Therefor, the answer is x = -5.

PLZ PLZ PLZ PLZ PLZ PLZ HELP I NEED HELP PLZZZZZZZZZ NO ONE HAS HELPED ME FOR AN HOUR 25 POINTS
The expression 2(4+v)+9v is simplified in several steps below.

For each step, choose the reason that best justifies it.

8+2v+9v

commutative property of addition

associative property of addition

distributive property of addition

combining like terms

8+11v

commutative property of addition

associative property of addition

distributive property of addition

combining like terms

11v+8

commutative property of addition

associative property of addition

distributive property of addition

combining like terms

Answers

Answer:

C, D, A

Step-by-step explanation:

Distributive property

Combining like terms

Communitive property

I need help pls thank you
Blah blah

Answers

Answer:

TSP RSU

Step-by-step explanation:

Hope this helps!

Please give me the correct answer.Only answer if you're very good at math.​

Answers

Answer:

1st graph

Step-by-step explanation:

this is the only graph that begins at 24, has a negative slope, is linear, and ends at (8,0) which, after 8 hours losing 3 pots per hour, makes sense

It is the top left graph

I can tell because at 0 hours, they started out with 24 plants, which means there should be a point at (0,24). I also know that free every hour, they remove 3 plants, so the line should be going down (as the number of pots keeps on getting lower).

Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?

Answers

Answer: b

Step-by-step explanation: hope this helps

Some one help pleaseeere

Answers

Answer:

m = 2/3, you were correct

Step-by-step explanation:

plot the point on a graph

calculate the rise by going up alongside the y axis

the rise is 2

calcualte the run it takes to get to the second point

the run is 3

m = rise/run = 2/3

m = 2/3

Plz mark as brainliest if correct! Have a nice day!!!

Jason can travel 24 3/4 miles in 1/2 hour. What is his average speed in miles per hour?

Answers

49.5 mph
just multiply the miles by 2 because it is only half an hour

Answer:

24 3/4 miles is the distance

1/2 hour - is time

V=S/t

24\frac{3}{4}

4

3

/ 0.5 = \frac{(24*4+3)2}{4}

4

(24∗4+3)2

=49.5 miles per hour

help pls me , help pls ​

Answers

115=25+21x or 115=21x-25
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