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2 years ago

(-42.65,4.8) and (2.65,3.6) what is the slope

Mathematics

1 answer:

Nesterboy [21]2 years ago

3 0

Answer:

-4/151

Step-by-step explanation:

We can find the slope by

m = (y2-y1)/*x2-x1)

= (3.6 - 4.8)/(2.65 - -42.65)

= (3.6 - 4.8)/(2.65 +42.65)

= -1.2 / 45.3

-4/151

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Insert three arithmetic means between 4 and 10.

Bumek [7]

Answer:

5.5, 7, 8.5

Step-by-step explanation:

Find the mean of 4 and 10, that is

$\frac{4+10}{2}$ = $\frac{14}{2}$ = 7

Now repeat with 4 and 7 and 7 and 10

$\frac{4+7}{2}$ = $\frac{11}{2}$ = 5.5

$\frac{7+10}{2}$ = $\frac{17}{2}$ = 8.5

Hence

4, 5.5, 7, 8.5, 10 ← is an arithmetic sequence with d = 1.5

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3 years ago

A glass fish tank in the shape of a rectangular prism has a base that measures 22 inches by 12 inches. If the tank can hold a ma

Umnica [9.8K]

582.74 square inches of glass is required to construct the tank

Step-by-step explanation:

Base dimensions= 22 x 12 inches

Volume of the fish tank = 3960 cubic inches

Volume = l x w x h

3960 = 22 x 12 x h

h = 3960 /(22 x 12)

h = 3960/462

h = 8.57 inches

The glass used = lateral surface area of the rectangular prism

= 2(lh + wl)

= 2(188.57 + 102.8)

= 2(291.37)

= 582.74 square inches

582.74 square inches of glass is required to construct the tank

7 0

3 years ago

Write f(x)=8x^2-4x+11 in vertex form

Vlad [161]

Answer:

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$

$f(x)=8(x-0.25)^{2}+10.5$

Step-by-step explanation:

we have

$f(x)=8x^{2}-4x+11$

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

Convert to vertex form

Factor the leading coefficient

$f(x)=8(x^{2}-\frac{1}{2}x)+11$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+11-\frac{1}{2}$

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+\frac{21}{2}$

Rewrite as perfect squares

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$ ----> equation in vertex form

$f(x)=8(x-0.25)^{2}+10.5$

The vertex is the point (0.25,10.5)

3 0

3 years ago

carmen weighed 4.361 g, kim weighed 2.704 g, simon weighed 5.295 g, and angelica weighed 8.537 how many grams of tin did carmen

krek1111 [17]

7.065 grams of tin I believe

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2 years ago

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Mandarinka [93]

I think your answer is going to b

5 0

2 years ago

(-42.65,4.8) and (2.65,3.6) what is the slope​

(-42.65,4.8) and (2.65,3.6) what is the slope