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Black_prince [1.1K]
3 years ago
10

Which statement best compares a line and a point

Mathematics
1 answer:
Volgvan3 years ago
6 0
A line has 0 endpoints and extends forever in 2 directions and a point has 1 endpoint and extends forever in 0 directions.
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#3 find domain and range using interval notation
kkurt [141]

Hey there! :)

Answer:

D : [-4, ∞)

R: [-2, ∞)

Step-by-step explanation:

Notice that one end of the graphed function has a closed circle, and one end is a line. We must use specific brackets accordingly:

[ is used for closed points.

( is used for arrows or open circles.

Therefore:

This graph goes from x = -4 towards x ⇒∞. Therefore:

D : [-4, ∞)

The range of this function goes from x = -2 towards y⇒ ∞. Therefore:

R: [-2, ∞)

6 0
3 years ago
S = v/ r , solve for r.
marta [7]
Multiply both sides by r
Sr=v
divide both sides by s
r=v/s
3 0
3 years ago
The sum of three numbers is 105. The third number is 2 times the first. The first number is 5 less than the second. What are the
Radda [10]

Answer:

The second number = 30

The first number = 25

The third number = 50

Step-by-step explanation:

Let

The second number = x

The first number = x - 5

The third number = 2(x - 5)

Total = 105

105 = x + (x - 5) + 2(x - 5)

105 = x + x - 5 + 2x - 10

105 = 4x - 15

105 + 15 = 4x

120 = 4x

x = 120/4

x = 30

The second number = x

= 30

The first number = x - 5

= 30 - 5

= 25

The third number = 2(x - 5)

= 2(30 - 5)

= 2(25)

= 50

5 0
3 years ago
In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest<br> inch.
dalvyx [7]

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

m\angle G+m\angle H+m\angle I=180^\circ

30^\circ+29^\circ+m\angle I=180^\circ

59^\circ+m\angle I=180^\circ

m\angle I=180^\circ-59^\circ

m\angle I=121^\circ

According to Law of sines,

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Using Law of sines, we get

\dfrac{h}{\sin H}=\dfrac{i}{\sin I}

\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}

\dfrac{300}{0.4848}=\dfrac{i}{0.8572}

Multiply both sides by 0.8572.

\dfrac{300}{0.4848}\times 0.8572=i

530.44554=i

i\approx 530

Therefore, the length of i is about 530 inches.

6 0
3 years ago
What is the average rate of change of the function over the interval x = 0 to x = 8?<br>​
serious [3.7K]

Answer:

The average rate of change is:

\frac{13}{161}

Step-by-step explanation:

The rational function given to us is;

f(x)=\frac{3x+4}{2x+7}

f(0)=\frac{3(0)+4}{2(0)+7}

f(0)=\frac{4}{7}

f(8)=\frac{3(8)+4}{2(8)+7}

f(0)=\frac{28}{23}=1

The average rate of change of this function from x=0 to x=8  is the slope of the secant line connecting:

(0,f(0)) and (8,f(8))

Average rate of change ==\frac{f(8)-f(0)}{8-0}

=\frac{\frac{28}{23}-\frac{4}{7} }{8}

=\frac{13}{161}

7 0
3 years ago
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