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3 years ago

What is the length of the line segment with endpoints -3/8 and 7/8

Mathematics

1 answer:

taurus [48]3 years ago

3 0

Answer:

1 1/4

Step-by-step explanation:

To find the distance between the points take the last point and subtract the first point

7/8 - (-3/8)

A negative negative is a positive

7/8 +3/8

10/8

8/8 + 2/8

Simplifying

1 + 1/4

1 1/4

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Hello please help posted picture of question

Lynna [10]

Answer:

A. True

Step-by-step explanation:

All function of the form y = a^x, where a is a positive constant, goes through the point (0,1) and y = 0 is the asymptote.

Also note, a function y = a^x + k is a vertically translated function from the parent (y=a^x) k units up.

So, the function F(x) = 7 + 3^x is basically 3^x translated 7 units. What happens is that the point (0,1) gets translated 7 units above, so this point becomes (0,1+7)=(0,8). and the asymptote is y = 7.

Hence the function starts from above y = 7 (y = 7 is asymptote), goes through (0,8) and increases. Hence the Range would be all numbers GREATER than 7 (till infinity).

So, the question is TRUE.

4 0

3 years ago

Which letter accurately describes how w(x) = log4(x + 5) – 3 is translated from p(x) = log4(x).

Irina-Kira [14]

Answer:

B. Left 5 units and down 3 units

5 0

2 years ago

A composite figure is shown.

VikaD [51]

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

For the cube

Surface area of a cube is given by

$S = 6l^{2}$

Where $l$ is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = $5l^{2}$

From the given information,

$l = 6 \ feet$

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

For the square prism

The surface area of a square prism is given by the formula,

$S = 2l^{2} + 4lh$

Where $l$ is the length of the sides and

$h$ is the height

But the <u>square surfaces</u> are not part of the surface of the figure

∴ Surface area of the square prism in the figure = $2l^{2} + 4lh - 2l^{2}$

Surface area of the square prism in the figure = $4lh$

From the given information,

$l = 6 \ feet$

$h = 20 \ feet$

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

$S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }$

Where $l$ is the base length

and $h$ is the height of the prism

But the <u>square base</u> is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = $l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2} }\ - ( l^{2})$

Surface area of the pyramid part of the figure = $2l\sqrt{\frac{l^{2} }{4}+h^{2} }$

From the given information,

$l = 6 \ feet$

$h = 4 \ feet$

∴ Surface area of the pyramid part of the figure = $2(6)\sqrt{\frac{6^{2} }{4}+4^{2} }$

= $12\sqrt{\frac{36 }{4}+16}$

= $12\sqrt{9+16 }$

= $12\sqrt{25}$

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

#SPJ1

4 0

2 years ago

If f(1)=4 and f(n)= -2(n-1) -4 then find the value of f(5)

hoa [83]

Answer: f(5) = 43

Step-by-step explanation:

7 0

2 years ago

What is the value of the expression shown 24-52

Ahat [919]

Answer:

-28

Step-by-step explanation:

It is negative so:

52-24=28

-28

8 0

3 years ago