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PtichkaEL [24]
3 years ago
10

a square with an area of 144 cm² is reduced by a factor of 1/3 how long are the new sides of the square?​

Mathematics
1 answer:
olga55 [171]3 years ago
3 0

Answer:

4  cm

Step-by-step explanation:

The square root of 144 is 12 (12 x 12 = 144) so we know our sides of the square are 12 cm²

12 / 3 = 4

(\frac{12}{1} x \frac{1}{3})

The sides of the new square are 4 :)

Hope this helps and is correct, have a nice day! :D

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Last tuesday evening, Aaron, the car wash owner, found he had 90% more quarters than dimes. If the combined value of Aaron's qua
Alex Ar [27]

Aaron the car wash owner had 228 quarters and 120 dimes.

<h3>Equation</h3>

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the number of quarters and y represent the number of dimes. Hence:

x = 90% of y + y

x = (0.9y) + y

x - 1.9y = 0   (1)

Also:

0.25x + 0.1y = 69   (2)

From both equations:

x = 228, y = 120

Aaron the car wash owner had 228 quarters and 120 dimes.

Find out more on Equation at: brainly.com/question/13763238

4 0
2 years ago
Find the equation for the line that passes through the point (2,2), and that is parallel to the line with the equation y=3/4x-4
telo118 [61]

Answer: y=3/4x  + 1/2

Step-by-step explanation: Parallel lines must have the same slope, so you already know the equation must be something like y=3/4x+b. You are given a point that the line goes thru(2,2), so you can plug this point into the equation to solve for b.

(2)=3/4(2) + b

2=6/4 + b

2= 3/2 + b

b= 2-3/2

b=4/2- 3/2

b=1/2

so y=3/4x + 1/2

6 0
3 years ago
1/2 to the nearest present
Harman [31]
It’s actually 50% because you have to make a proportion 1/2=x/100 multiply the numerator 1 by the denominator 100 and you got 100 then divide it by the other denominator which is 2 so 100 divided by 2 is 50 fill 50 in for x which is 50/100 which means 50%
7 0
3 years ago
After your instructor added 4 points to each student's test score, your score is 92.
Alexandra [31]
88

92-4=88

hope this helps
7 0
3 years ago
Write a quadratic function in vertex form whose graph has the vertex (-3,5) and passes through the point (0,-14)
dsp73

Answer:

f(x) = -19/9(x + 3)² + 5

Step-by-step explanation:

Given the vertex, (-3, 5) and the point, (0, 14):

Use the following quadratic equation formula in vertex form:

f(x) = a(x - h)² + k

where:

(h, k) = vertex

a = determines whether the graph opens up or down, and makes the graph wide or narrow.

<em>h</em><em> </em>= determines how far left or right the parent function is translated.

<em>k</em> =  determines how far up or down the parent function is translated.

Plug in the values of the vertex, (-3, 5) and the given point, (0, 14) to solve for <em>a</em>:

f(x) = a(x - h)² + k

14 = a(0 + 3)² + 5

14 = a(3)² + 5

14 = a(9) + 5

Subtract 5 from both sides:

-14 - 5 = 9a

-19 = 9a

Divide both sides by 9 to solve for a:

-19/9 = 9a/9

-19/9 = a

Therefore, the quadratic function in vertex form is:

f(x) = -19/9(x + 3)² + 5

Please mark my answers as the Brainliest, if you find this helpful :)

5 0
2 years ago
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