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Cerrena [4.2K]
2 years ago
10

Which line has a constant proportionality of 4

Mathematics
1 answer:
Ne4ueva [31]2 years ago
3 0

Answer:

Line A

Step-by-step explanation:

Line A has a constant of proportionality (slope) of 4.

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A rectangle has an area of 1/6 square centimeters and a length of 1.5 centimeters. what is the width? what is the perimeter?
SCORPION-xisa [38]
The area of a rectangle can be calculated by the product of its length and the width. Here we are given the area and the length so we can simply calculate for width. The perimeter is the sum of all the side lengths of the shape. We calculate as follows:

Area = lxw
1/6 = 1.5w
w = 1/9

Perimeter = 2l + 2w
Perimeter = 5/9

Hope this answers the question. Have a nice day.
6 0
3 years ago
-2+4(-x+4)=10 using distributive property and collecting like terms
stich3 [128]

Answer:

<h2>x = 1</h2>

Step-by-step explanation:

-2+4(-x+4)=10\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\-2+(4)(-x)+(4)(4)=10\\\\-2-4x+16=10\qquad\text{combine like terms}\\\\-4x+(-2+16)=10\\\\-4x+14=10\qquad\text{subtract 14 from both sides}\\\\-4x+14-14=10-14\\\\-4x=-4\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{-4}{-4}\\\\x=1

4 0
3 years ago
At Norman's Newsstand, 5 magazines cost $10.00. How many magazines could you buy with $24.00?
kow [346]

Answer: you could buy 12 magazines

Step-by-step explanation:

each magazine is $2

6 0
3 years ago
Read 2 more answers
5+7k&gt;=-30 and -4k +4&gt;20​
Slav-nsk [51]

Answer:

\large\boxed{-5\leq k

Step-by-step explanation:

5+7k\geq-30\ \wedge\ -4k+4>20\\\\5+7k\geq-30\qquad\text{subtract 5 from both sides}\\7k\geq-35\qquad\text{divide both sides by 7}\\\boxed{k\geq-5}\\\\-4k+4>20\qquad\text{subtract 4 from both sides}\\-4k>16\qquad\text{change the signs}\\4k

7 0
3 years ago
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 10 cm, and its area is 12 cm2. Find the radiu
PtichkaEL [24]

Answer:

1.2 cm

Step-by-step explanation:

The area of sircumscribed quadrilateral over a circle is equal to

A=s\cdot r,

where s is semi-perimeter of the quadrilateral and r is the radius of the circle.

Use property of circumscribed quadrilateral: The sums of the opposite sides are equal.  

So, if the sum of two opposite sides of the circumscribed quadrilateral is 10 cm, then the sum of another two sides is also 10 cm and the perimeter of the quadrilateral is 20 cm. Hence,

s=\dfrac{20}{2}=10\ cm

Now,

A=s\cdot r\\ \\12=10r\\ \\r=\dfrac{12}{10}=1.2\ cm

8 0
3 years ago
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