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2 years ago

What is the y-coordinate of the midpoint of the line segment of (-4,13) and (18,-3.5)

Mathematics

1 answer:

Nady [450]2 years ago

4 0

The midpoint is (7,4.75) so the y-coordinate should be y=4.75. I hope that helps

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Find f(-2)for f(x)=5*3^x

damaskus [11]

f ( - 2 ) = 5 × 3^( - 2 )

f ( - 2 ) = 5 × 1/9

f ( - 2 ) = 5/9

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2 years ago

4 adults consumed food costing $60 for 3days. For the same food cost ,what would be the cost of food consumed by 7 adults for 5d

salantis [7]

Answer:

$175

Step-by-step explanation:

$60÷3÷4 =5

$5 is the cost of one adult's food for one day.

$5×7×5

=$175

$175 is the cost of food consumed by 7 adults for 5 days.

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2 years ago

Which symbol makes the comparison true? 0.74 to 0.740

DENIUS [597]

Answer:

Step-by-step explanation:

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2 years ago

The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of

kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

$A=\frac{\sqrt{3} }{4} a^{2}$

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

$A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}$

$A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}$

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

$A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}$

$A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}$

Now, comparing areas:

$\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )$

$\frac{A_{1}}{A_{2}} =$ 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

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2 years ago

Name 2 fractions that are greater than 1/2. Use benchmark fractions to help

Fynjy0 [20]

Answer:

2/3, 3/4, 5/6, 7/8, 8/9, 9/10, etc.

Step-by-step explanation:

1/2 is smaller than 1/3, which is smaller than 3/4, which is in turn smaller than 5/6, and so on.

6 0

2 years ago