Dilating a trapezoid involves changing its size.
The measure of side OL is 8
The given parameters are:
[tex]\mathbf{O'L' = 6}[/tex]
[tex]\mathbf{k = \frac 34}[/tex]
Side length O'L' is calculated using:
[tex]\mathbf{O'L' = OL \times k}[/tex]
Make OL the subject
[tex]\mathbf{OL = \frac{O'L'}{k}}[/tex]
So, we have:
[tex]\mathbf{OL = \frac{6}{3/4}}[/tex]
[tex]\mathbf{OL = 8}[/tex]
Hence, the measure of side OL is 8
Read more about dilations at:
https://brainly.com/question/13176891
Lin’s job pays$8.25 an hour plus$10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). 1.Represent this situation mathematically. If you use variables, specify what each one means. 2.How many hours per week can Lin work? Explain or show your reasoning.
Answer:
20
Step-by-step explanation:
($8.25 x 5 hours) + 10x <= 175
41.25 + 10x <= 175
x =4 that is 4 weeks
so multiple 5 hours by 4 to get 20 hours
that way she is earning 175 per week
[tex]-10n-8=-9n[/tex]
Answer:
[tex] - 10n - 8 = - 9n \\ - 10n + 9n = 8 \\ - n = 8 \\ n = - 8 \\ thank \: you[/tex]
Answer:
[tex] - 10n - 8 = - 9n \\ - 10n + 9n = 8 \\ - n = 8 \\ \boxed{n = - 8}[/tex]
n = -8 is the right answer.19. Helen has 2 more than twice as many stamps as Gail. If Gail
buys 10 more stamps, she and Helen will have the same
number of stamps. How many stamps does each person have
now?
Answer:
x(Gail)=8 and y(Helen)=18
Step-by-step explanation:
2x+2=y and x+10=y
Plug y in and solve for x
2x+2=(x+10)
2x-x=10-2
x=8
Plug x in and solve for y
(8)+10=y
y=18
Select all of the TRUE statements about the unit rates.
The ratio 5 : has a unit rate of 35.
The ratio 5 :, , , , has a unit rate of 35.
The ratio to has a unit rate of .
The ratio , , , to , , , has a unit rate of , , , .
The ratio to has a unit rate of .
The ratio , , , , to, has a unit rate of , , , .
The ratio : has a unit rate of .
Answer:
I think you copied this. there are alot od commas
Step-by-step explanation:
Answer:
The ratio to has a unit rate of .
The ratio , , , to , , , has a unit rate of , , , .
Step-by-step explanation:
there are two numbers whose sum is 496 . One number is thrice the other . what are the numbers?
please explain. with answer
I have been wondering this question for quite some time. What is 87 - 45x /3
Answer:
-48
Step-by-step explanation:
we are going to say. 87-45x3=_48
The equation 4 ∙ 5 = 5 ∙ 4 demonstrates the ________property of multiplication.
Answer:
The equation 4 ∙ 5 = 5 ∙ 4 demonstrates the Commutative property of multiplication.
Step-by-step explanation:
Commutative property is A × B = B × A
So the equation 4 ∙ 5 = 5 ∙ 4 is same as commutative property
Answer:
The equation 4 ∙ 5 = 5 ∙ 4 demonstrates the commutative property of multiplication.
Step-by-step explanation:
The commutative property means that the positions of the numbers on each side of the equation can be swapped and both sides would be equal.
You can think of it as A x B = B x A
MATH HELP PLEASE!!
6. Solve
3X+10 is greater than or equal to 4
Answer:
Step-by-step explanation:
Answer:
x ≥ - 2
Step-by-step explanation:
3x + 10 ≥ 4 ( subtract 10 from both sides )
3x ≥ - 6 ( divide both sides by 3 )
x ≥ - 2
Given m
Il n,
n, find the value of x and y.
35°
Answer:
x = 145, y = 35
Step-by-step explanation:
so y is equal to 35 because alternate interior angles are equal to each other (you can search this up if you're confused) and x = 145 because of supplementary angles so I did 180 - 35 = 145. hope this helps!
Find the Slope of the line graphed?
Answer:
-1/2
Step-by-step explanation:
It is negative since the slope is declining, meaning that it is a negative slope!
It is 1/2 because we go down one and move 2 to the right, meaning that we get 1/2 and then for the negative slope get -1/2
Consider marking this as brainliest it really helps!
Simplify.
8−4÷2+5⋅6
1. 32
2. 36
3. 54
4. 66
Answer: 36
Step-by-step explanation:
8-2+30
6+30
36
Tamika made 6 gallons of lemonade. She used 3/4 cup of sugar for each gallon of lemonade, as shown
which model represents an amount of sugar equivalent to the amount Tamika used?
A. 5 cups
B. 6 Cups
C. 3 Cups
D. 7 Cups
Answer:
C
Step-by-step explanation:
did da test
Rewrite each equation in slope-intercept form.
1. 3x + 5y = 12
2. 5x – 4y = 6
3. y = 5x + 3
4. y =1/2 x – 8
Express the ratio as a fraction in simplest form. 10 yards to 10 feet
Answer:
3:1 should be the ratio.
Step-by-step explanation:
Use long division to divide (6x^2 - 39x -21) / (x -7)
Answer:
How do you divide
x
4
+
2
x
3
+
15
x
2
+
6
x
+
8
x
−
4
?
Algebra Division of Polynomials
1 Answer
Alan P.
Jun 13, 2017
x
4
+
2
x
3
+
15
x
2
+
6
x
+
8
x
−
4
=
x
3
+
6
x
2
+
39
x
+
152
Remainder:
616
Explanation:
Do this division either using "synthetic division" or "long division"
synthetic division
x
4
x
3
x
2
x
1
x
0
usually omitted
1
2
15
6
8
the coefficients
+
−−−
|
−
0
−
4
−
24
−−
146
−−−
608
−−−
product of prior row 3 value and
x
's zero
4
|
1
6
39
152
616
the 4 is the value of
x
that would make the denominator
=
0
x
3
x
2
x
1
x
0
R
again, this is usually omitted
please help me with this :(
suppose PQR is rotated 180° about the origin, (0,0). find the coordinates of P', Q', and R'. then sketch P'Q'R'
(type an ordered pair)
P'=___
Q'=___
R'=___
Answer:
I think the way they are telling is that the triangle will move to the third quadrant,
If so, then the coordinates of P'Q'R' will just be the negative of PQR.
IF YOU KNOW HOW TO DO THIS PLEASE PLEASE HELP YOUR GIRL OUT!!
Explain the steps necessary to solve the following multi-step equation. Include the final solution as part of your submission and explain how
you verified that the solution is correct.
–5(1 – 5x) + 5(–8x - 2) = -4x – 8x
Answer: x = -5
-------------------------------------------------------------------------------------------------------------
Step-by-step explanation:
Let's solve your equation step-by-step.
−5(1−5x)+5(−8x−2)=−4x−8x
-------------------------------------------------------------------------------------------------------------
Step 1: Simplify both sides of the equation.
−5(1−5x)+5(−8x−2)=−4x−8x
(−5)(1)+(−5)(−5x)+(5)(−8x)+(5)(−2)=−4x+−8x(Distribute)
−5+25x+−40x+−10=−4x+−8x
(25x+−40x)+(−5+−10)=(−4x+−8x)(Combine Like Terms)
−15x+−15=−12x
−15x−15=−12x
-------------------------------------------------------------------------------------------------------------
Step 2: Add 12x to both sides.
−15x−15+12x=−12x+12x
−3x−15=0
-------------------------------------------------------------------------------------------------------------
Step 3: Add 15 to both sides.
−3x−15+15=0+15
−3x=15
-------------------------------------------------------------------------------------------------------------
Step 4: Divide both sides by -3.
−3x /−3 = 15/ −3
x=−5
-------------------------------------------------------------------------------------------------------------
Answer:
x=−5
Source: https://www.mathpapa.com/algebra-calculator.html
, Hope this helps
Have a great day!!
Suppose you need to put a fence around a rectangular garden that has a perimeter of 64ft. The width is 12ft less than the length. Find the width and length of the garden.
Answer:
x=length
x-12=width
you techinally have to count 2 lengths and 2 widths.
2x + 2x - 24= 64
4x = 88
x = 22
so the length is 22 and the width is 10
PLEASE HELP !
Determine the equation of this line, pitting your answer in the form Ax + By + C = 0, where A B C are intergers.
Answer:
5x + 4y - 20 = 0
Step-by-step explanation:
1. Find the two points given: (0,5) and (4,0)
2. Find the slope of the line:
m = [tex]\frac{5-0}{0-4} = \frac{-5}{4}[/tex]
3. Find y intercept by plugging in one point into the y-intercept form
y = (-5/4) x + b
0 = (-5/4) (4) + b
b = 5
4. Write out the equation in y-intercept form
y = (-5/4) x + 5
5. Rewrite it in Ax + By + C = 0 form
(5/4) x + y - 5 = 0
6. Since A B C all need to be integers, multiply the whole equation by 4
5x + 4y - 20 = 0
For the function below. Find f-1 (x)
Answer:
[tex]{f}^{ - 1} (x) = \frac{3x}{2(1 + 2x)} + \frac{1}{2(1 + 2x)} [/tex]
I hope I helped you^_^
BRAINLIEST ASAP! help pls
Each floor of a doll house is 12.5 inches tall. If the height of the doll house is 75 inches, how many floors does the doll house have? You must show your work help please
[tex]\bigstar\boxed{\large\bf{\leadsto 6\:floors}}[/tex]
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀
[tex]\begin{gathered}\rm{ \underline{ \underline{ \red{Given}}}}\begin{cases}\sf{height\:of\:one\:floor\:of\:dollhouse =12.4\:in} & \\ \\\sf{Height\:of\: dollhouse=75\:in}&\end{cases}\\\\\end{gathered} [/tex]
To find :Total number of Floors in dool house➜ Therefore , Total number of floors can be find out by dividing the total height of dollhouse by the length of one floor
[tex]\bf{=\cancel{ \dfrac{75}{12.5}}}[/tex]
[tex]\bf{= 6}[/tex]
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀
In 2010, the average cost of electricity was 11.54 cents per kilowatt hour. In 2014, the average cost of electricity
was 12.52 cents per kilowatt hour.
Which function models the average retail price of electricity, f(x), in cents per kilowatt hour, x years after 2010?
A. f(x) - 0.98x + 4.00
B. f(x) = 0.245x + 11.54
C. f(x) = 0.738x + 11.54
D. f(x) = 4.082x + 1962.89
Answer:
B
Step-by-step explanation:
First take 12.52 and subtract 11.54 to find the amount it had decreased. (.98)
After that, divide it by 4 (because it increased by .98 over 4 years) and you get .245 a year.
and sense your starting value was 11.54 the +11.54 also checks out
Gage Millar, algebra 2 tutor.
The function modeling the given situation of retail price of electricity in cents per kilowatt hour, x years after 2010 is: Option C. [tex]f(x) = 0.245x + 11.54[/tex] (in cents/kilowatt hour)
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Since the problem asks us to find the cost of electricity x years after 2010, thus, the increasing rate will add up itself x times and this addition will then be added to the price which is getting increased, which is 2010's price.
(since 2011's price = price of 2010 + constant increment,
2012's price = price of 2010 + twice of constant increment, and so on for further years)
Thus, f(x) = increment per year times x + price in 2010
Now assuming that increment in price per year is constant, we see:
Increment per year in electricity price= (price in 2014 - price in 2010)/4
Increment per year in electricity price = (0.98)/4 = 0.245 cents per year
Thus, we get:
[tex]f(x) = 0.245x + 11.54[/tex] as the price of the electricity in cents per kilowatt hour after x years from 2010.
Learn more about forming equations here:
https://brainly.com/question/11938672
Solve for the following equation for “f”
perpendicular slope of y=4/3x+1
Answer:-3/4
Step-by-step explanation:
flip and switch the sign
Answer:
Perpendicular Slope: -3/4
Step-by-step explanation:
The perpendicular slope of a line is the opposite reciprocal.
help me plz asap this is 50 points
Answer:
no its not 50 points lier
Step-by-step explanation:
30 28 8 21 15
BRAINLIEST to correct answer!!
Answer:
5
Step-by-step explanation:
will give correct answer brainliest
Answer:
2. Division property of equality
3. x+1 = -4
4. Subtraction property of equality
5. x = -5
Step-by-step explanation:
Could anyone help please
Answer:
T=.25k+.97t
This is because you 25 cents of gas is multiplied by k, which leaves the other section of the equation.
Hello Everyone! If you are having any difficulties in Math book D1 and D2, then do tell me in the channel discussion section. I'll be happy to respond to all your math queries. I will be uploading videos with clear explanations in order to clear your concepts.
Answer:
h
Step-by-step explanation:
b