MATHEMATICS HIGH SCHOOL

I need help with math 1010
completing the square
x^2-9x=10

Answers

Answer 1
Answer: x^2-9x=10|+20.25\nx^2-9x+20.25=30.25\n(x-4.5)^2=30.25\nx-4.5=5.5 \vee x-4.5=-5.5\nx=10 \vee x=-1

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I can’t figure out how to solve this, can someone help? 5m-12=m

Answers

Answer:

m = 3

Step-by-step explanation:

5m - 12 = m

subtract 5m from both sides

5m - 5m - 12 = m - 5m

simplify

-12 = -4m

divide both sides by -4

-12 / -4 = -4m / 4

simplify

3 = m

hope this helps :)

A carpenter is building a fence around a swimming pool. One side of the pool is next to the house and does not need fencing. The carpenter has 120 feet of fencing and plans to use it all. Solve the equation w + 76 + w = 120 to find the unknown dimension of the enclosed rectangular area.a. 12 ft

c. 20 ft


b. 22 ft

d. 18 ft

Answers

The answer is B. 22ft
The equation goes w + 76 + w = 120 so I'm guessing you're solving for w since that's the only remaining side you haven't discovered so first of all collect like terms:
   2w + 76 = 120
Secondly minus 76 from the equation to leave 2w on its own
   2w - 76 = 120
BUT whatever you do to one side of the equation you have to do it to the side
   2w - 76 = 120 - 76
Which will get you to 
   2w = 44
To get w on it's own you divide the equation by 2 and like before you must do the same to the other side of the equation to balance it out.
   w = 44/2
Therefore w= 22ft 

A rectangular garden is 6 feet long and 4 feet wide. a second rectangular garden has dimensions that are double the dimensions of the first garden. what is the percent of change in perimeter from the first garden to the second garden?

Answers

I hope this helps you

There are 10 sports balls in the equipment closet. Three are kickballs . Write the portion of the balls that are kickballs as a fraction, as a decimal, and in word form

Answers

Answer:

Proportion of kickball =

p =(x)/(n) = (3)/(10)\n\np=0.3            

Step-by-step explanation:

We are given the following in the question:

Total number of ball, n = 10

Number of kickball,x = 3

Proportion of balls in fraction =

p =(x)/(n) = (3)/(10)

Proportion of balls in decimals =

p =(x)/(n) = (3)/(10)\n\np=0.3

Proportion in words =

3 out of 10 balls are kick balls that is 30% of the balls are kick balls.

How to find the inverse of the function f(x)=2x-3 ? Please

Answers

f(x)=2x-3\n\ny=2x-3\n\n-2x=-y-3\ \ \ \ /:(-2)\n\nx=(1)/(2)y+(3)/(2)\n\nf^(-1)(x)=(1)/(2)x+(3)/(2)
f(x)=2x-3
y=2x-3
x=(y+3)/2

f⁻¹(x) = (x+3) / 2

If there are 16 values in a data set in order from smallest to largest, what is the median of the data set?A. The mean of the 8th and 9th values
B. The 8th value
C. The 7th value
D. The mean of the 7th and 8th values

Answers

A.) The mean of the 8th and 9th values
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