R is the midpoint of AM. If RA = x2 - 16x and MR = 80, find x.

Answers

Answer 1

Answer:

x = - 4 or x = 20

Step-by-step explanation:

Given R is the midpoint of AM, then

RA = MR , substitute values

x² - 16x = 80 ( subtract 80 from both sides )

x² - 16x - 80 = 0 ← in standard form

(x - 20)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 20 = 0 ⇒ x = 20

x + 4 = 0 ⇒ x = - 4


Related Questions

The ratio table below shows the number of eggs per omelet.
Omelets
Number of eggs
Number of omelets
18
?
9
3
6
2
3
1
How many omelets can be made with 18 eggs?
4
6
9
12.

Answers

Answer:

B(6

Step-by-step explanation:

The number of omelets made by 18 eggs will be 6. The correct option is B.

What is the ratio?

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number. The fraction is defined as the division of the whole part into an equal number of parts.

The number of eggs required to make the number of omelets is given in the tables as:-

omelets        eggs

    ?                 18

    3                 9    

    2                 6

    1                  3

The ratio of omelets and egg is calculated as:-

omelets: egg = 3 : 9      

omelets: egg = 1:3

The number of the omelets made by 18 eggs will be calculated as below:-

omelets: egg = 1:3

omelets: 18 = 1:3

omelets = 18 x ( 1 / 3 )

omelets = 6

Therefore, the number of omelets made by 18 eggs will be 6.

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The length of segment AB is 10 cm
If you draw a point halfway between A and B and label the point C, what is the
length of AC?

Answers

Answer:

Step-by-step explanation:

The distance between B and C is ... 10. M(7, 1), N(4, –1). eSolutions Manual - Powered by Cognero. Page 2 ... Find the coordinates of G if F(1, 3.5) is the midpoint of ... Find the distance between each pair of points. ... approximated by a straight line, estimate the length of ... relationship between AB and each segment if you.

one third of one seventh of a land is sold for RS. 30000.What is the value of land? ​

Answers

Answer:

Step-by-step explanation:

Let the value of the land = Rs . 30000

[tex]\frac{1}{3}of\frac{1}{7}of x = 30000\\\\\\\frac{1}{3}*\frac{1}{7}*x = 30000\\\\\\x = 30000*\frac{3}{1}*\frac{7}{1}\\\\\\[/tex]

x = Rs. 630000

X + 9 = 7
How do you move the constant to the right side and change it’s sign

Answers

Step-by-step explanation:

X + 9= 7

get x by itself you -9 on both sides

X + 9 = 7

- 9. -9

X = -2

X + 9 = 7
You can throw the X to the right side and change to -X
9 = 7 - X
OR You can add both sides with -X
X + 9 - X = 7 - X
9 = 7 - X
Then you can do the same with 7 by throwing it to the left side and get -7
9 - 7 = - X
2 = - X
Now throw the -1 to the left side ( -X = -1X )
2(-1) = X
X = -2

What is the first step of the following division problem?

(8x3 – x2 + 6x + 7) ÷ (2x – 1)
Divide 8x3 by 2x.
Divide 2x by 8x3.
Divide 6x by 2x.
Divide 2x by 6x.

Answers

Answer:

Divide 8x^3 by 2x

Step-by-step explanation:

Here, we want to identify the first step to take in the polynomial division.

When working with a polynomial division, what to do is to divide the first term of the dividend by the first term of the divisor ( the divisor is arranged in descending powers of x)

The number we want to divide is the dividend, while the number we are using to divide is the divisor.

In this case, the first term of the dividend is 8x^3 while that of the divisor is 2x

The first step of the following division problem is to divide 8x³ by 2x

How to divide polynomials

Given:

(8x³ – x2 + 6x + 7) ÷ (2x – 1)

(8x³ – x2 + 6x + 7) is the divided

(2x – 1) is the divisor

Dividend is number or expression that is to be divided by another

Divisor is the number which is used to divide another.

The first step in the be division of polynomial is to divide the first term of the bc dividend by the first term of the divisor.

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What are these fractions in order from greatest to least?:

6/9,5/6,5/7,4/5

Answers

6/9 5/7 4/5 5/6 change them to there decimal form and u will figure out what is least and what is the greatest amount but this is the correct answer


HELP!!!!
It was saying that my question is to short so I am just writing this to make it longer! and Thank you to the person who answers my question I do appreciate you taking time out of your day to help me!

Answers

I do know see any ? Above

If Zöe orders a book from Store Y, how much tax will she pay? Comparison of Online Bookstores Store X Store Y Cost of book $17.00 $18.00 Tax rate 6% 8% Shipping 10% of cost before tax FREE $1.44 $2.25 $12.25 $14.40

Answers

Answer:

A

Step-by-step explanation:

just did the quiz

Answer: The answer is A on the test I got 100% on the question.

Step-by-step explanation: ed 2020

6/10= x/15 Whats is the x?

Answers

Answer:

9

Step-by-step explanation:

Step 1:

6/10 = x/15

Step 2:

10x = 90

Answer:

x = 9

Hope This Helps :)

Answer:

x=9

Step-by-step explanation:

6/10 =x/15

10x =15 ×`6

10x =90

x=90 :10

x=9

What is the exact number of hundreds in 4,575?

Answers

Answer:

45

Step-by-step explanation:

3rd from the left and over r considered 100s

forty five because its 3rd from the left

Julio says, "if you subtract 14 from my number and multiply the difference by -2, the result is -42." what is julio's number?​

Answers

Answer:

let the number is x

-2(x-14) = -42

-2x + 28 =-42

-2x = -70

x= 35

Step-by-step explanation:

2(w-9)=5w+6+w i need help on this question?

Answers

Answer:

w=-6

Step-by-step explanation:

2(w-9)=5w+6+w

multiply 2 to the (w-9), also add the 5w to the other w

2w-18=6w+6

subtract 2w to 6w

-18=4w+6

subtract 6 to -18

-24=4w

divide 4 to -24

THE ANSWER IS -6

4. Simplify the following using the quotient rule of exponents:
(1 Point)
33 = 33
31
33
30
3-





!!!!!!!!!!!!!!!!!!!

Answers

Answer:

31=1/1

33=1/1

30=3/10

3-=-3

Step-by-step explanation:

When Scott got his dog Arfus, it weighed
6 lb. Six months later it weighed 8 lb.
How much weight did Arfus gain?

Answers

It gained 2 lb. because if you subtract 8-6 you would get 2. So Arfus gained 2 lb.

If 2x-1 = 13, evaluate the expression below. -x^2-4x
Explain please.

Answers

Answer: -77

Step-by-step explanation:

2x - 1 = 13

Add 1 on both sides

2x = 14

x = 7

Substitute x to 7

-(7)^2 -4(7)

Solve

-49 - 28 = -77

Answer:

-77

Step-by-step explanation:

-x^2-4x to [tex]-7^{2}[/tex]- ( 4  × 7)

-7^2 - ( 4  × 7)

-49 - ( 4  × 7)

-49 -28

=

-77

What is this called? I’m trying to look up a video on how to do these.
y = - 7/2x -4

Answers

Answer:

linear equations, only when it is y=(equation with an x  

variable)) or x=(equation with an y  

variable), usually you tend to graph these.

If the top of Mt. Everest is 29,035 ft and Death Valley in California at it's lowest point is negative 282 ft. What is the difference between the top of Everest and the bottom of the Valley?​

Answers

Answer: 29317

Step-by-step explanation:

A sequence is defined by the formula f(n+1)=f(n)−3. If f(4)=22, what is f(1)? 10 13 31 34

Answers

Answer: 31, hope this helps❤

Step-by-step explanation:

If f(4) = 22, then the value of f(1) is 31.

What is Sequence?

A sequence in mathematics is a ordered set of objects or numbers which are related with something.

For example, 1, 3, 5, ..... is a sequence of odd numbers.

Given a sequence defined as,

f(n + 1) = f(n) - 3

Given,

f(4) = 22

We know from definition,

f(4) = f(3) - 3

So, f(3) = 22 + 3 = 25

Similarly,

f(2) = 25 + 3 = 28

f(1) = 28 + 3 = 31

Hence the correct option is 31.

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A new computer game costs $32.50. Find the cost with tax if the tax is
7%. Round to the nearest cent. *
*

Answers

Answer:

$34.78

Step-by-step explanation:

...............

ax + by = c
To solve each literal equation for the given variable

Answers

Answer:

Step-by-step explanation:

For a:

ax = c - by

a = (c - by)/x

For x:

ax = c - by

x = (c - by)/a

For b:

by = c - ax

b = (c - ax)/y

For y:

by = c - ax

y = (c - ax)/b

4 subtracted from twice w, the result is 20 more than w. Find w

Answers

Answer:

w = 24

I hope this helps!

W=12 as shown in pic good luck

Perform matrix subtraction to find the values of w,
x, y, and z.

Answers

Answer:

w = ⇒ 21

x = ⇒ 13

y = ⇒ -11

z = ⇒ -16

Step-by-step explanation:

The value of the matrix will be   [tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]

What is the matrix?

A matrix is a rectangular array of numbers that are arranged in rows and columns. The numbers are referred to as the matrix's elements or entries. Engineering, physics, economics, and statistics, as well as various disciplines of mathematics, all use matrices.

[tex]=\left[\begin{array}{ccc}17&12&\\-3&-2\end{array}\right] - \left[\begin{array}{ccc}-4&-1&\\8&14\end{array}\right][/tex]

 

[tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]

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(30 points) find the measure of each lettered angle a= b= c= d= e= f= g= h= i=

Answers

Answer:

a=90 b=90 c=90 d=148 e=32 f=148 g= 122 h=58 l=122

Step-by-step explanation:

a is supp. to 90 degrees, therefore it is 90 (180-90)=90.

b and c are vertical angles, therefore they are the same as the angle directly across from them

d is supp. to 32 degrees, therefore it is 148 (180-32)=148

e and f are vertical angles, therefore they are the same as the angle directly across from them

g is supp. to 58 degrees, therefore it is 122 (180-58)=122

h and l are vertical angles, therefore they are the same as the angle directly across from them

Solve x2+8x-10=0 by completing the square. What are the solutions? *answer choices are in the picture

Answers

Answer:

Last option

Step-by-step explanation:

Step 1: Write out equation

x² + 8x - 10 = 0

Step 2: Add 10 to both sides

x² + 8x = 10

Step 3: Complete the Square

x² + 8x + 16 = 10 + 16

(x + 4)² = 26

Step 4: Square root both sides

x + 4 = ±√26

Step 5: Subtract 4 on both sides

x = -4 ± √26

Which expression represents the following number line?
+++++++++
-8-7-6-5-4-3-2-1012
0-6+3 = 3
6+3=3
0-6-3= -3
3-6-3
Help ASAP

Answers

The Answer is -6+3=-3 because the little dot thing starts at -6 but it’s going to the right so when it goes to the right that means your going to have to add so your going to add 3 and if you add -6+3 you will get negative three ! Hope this helps !

Which statement is NOT true? *

A. Every integer is a real number.
B Every counting number is an integer
C Every integer is a rational number
D Every decimal number is an irrational number.

Answers

Answer:DStep-by-step explanation:And integer is a whole number, negative or positive,  with no decimals or fractions. A is true. B is true. A rational number is a number that doesn't have an infinite number of decimal. C is true. D is false. The answer is D

Answer:

D. Every decimal number is an irrational number.

Step-by-step explanation:

As long as a decimal repeats or terminates, it is a rational number.


which value of x satisfies the equation 7/3 (x + 9/28) = 20?​

Answers

Answer:

x=8.25

Step-by-step explanation:

Divide both sides by 7/3

(x+9/28) = 8.57

Subtract 9/28 on both sides

x = 8.25

Calculate x if the mean of 30, x, 12, 40, and 10 is equal to x.​

Answers

Answer:

23

Step-by-step explanation:

Let the mean also is x

Mean = Sum of all observations / Total no of observations

x = 30 + 12 + 40 + 10 + x / 5

5x = 92 + x

4x = 92

x = 23

Therefore 23 is the mean and also one of the numbers.

The value of x such that mean of  30, x, 12, 40, and 10 is equal to x will be 23.

What is mean?

The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.

Mean = sum of data / Number of data

It is known that,

Mean = sum of data / Number of data

x = (30 + x + 12 + 40 + 10)/5

5x = x + 92

4x = 92

x = 23

Hence "The value of x such that mean of  30, x, 12, 40, and 10 is equal to x will be 23".

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A parent volunteer group is raising money by making custom hats to sell at school activities they plan to sell the hats for $11 each hat costs $5 to make they spent $50 advertising

Answers

Answer:

(11 - 5)n - 50

Step-by-step explanation:

Cost of 1 hat = $5Selling price = $11Advertising = $50

Let the number of hats be n. Then money made is

Profit for each hat:

(11-5)

Profit for n hats

(11 - 5)n

Deduct cost of advertisement - 50

(11 - 5)n - 50

Option C is correct

what is the slope of a line that passes through (-4,1) and (5,2)

Answers

basically use the formula y1-y2 over x1-x2 and just plug in the number
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