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3 years ago

What is the range of the function y=3/x+8?

Mathematics

1 answer:

nlexa [21]3 years ago

3 0

The range real numbers.
Range is possible y-values

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Write the possible combinations of coins that could make $3.55

crimeas [40]

Answer:

14 quarters and 1 nickel

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3 years ago

What is the slope of line m?

Shtirlitz [24]

Given:

A straight line goes through (-2,1), (0,0), and (2,-1).

To find:

The slope of the given line.

Solution:

Slope formula

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Consider any two points from the given points.

The line goes through (-2,1) and (0,0). So, the slope of the line is

$m=\dfrac{0-1}{0-(-2)}$

$m=\dfrac{-1}{2}$

Therefore, the slope of the line is $m=-\dfrac{1}{2}$ .

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3 years ago

Which of these methods will produce the most representative sample of the student body at Southwest Middle School?

Charra [1.4K]

A;the Liberian survey all eighth-grade students

6 0

3 years ago

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Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

Find the value of AC

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

Find the value of BC

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

Find the value of BD

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

the answer is

the length of BD is 11.93 units

8 0

3 years ago

Read 2 more answers

(Very easy) Find the surface area of this figure

Nataly_w [17]

The surface area of the two triangles is 12 cm^2.

3*4=12

The surface area of the bottom rectangle is 8 cm^2.

4*2=8

The surface area of the rectangle that is on the left side of the figure is 6 cm^2.

3*2=6

The surface area of the rectangle that is on the top side of the figure is 10 cm^2.

To find the third side of the triangle, use the Pythagorean theorem.

3^2+4^2=h^2

9+16=25

The third side of the triangle is 5 cm.

The surface area of the whole figure is 36 cm^2.

12+8+6+10=36

5 0

3 years ago