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wariber [46]
3 years ago
7

The plot below represents the function f ( x ) :

Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0

Answer:

Box 1: 4

Box 2: -2

Step-by-step explanation:

A) f(1)=?

This is asking us what is at x=1??

So we look at the graph and x=1 y is at 4!

so therefore, f(1) = 4

Next...

now its asking the opposite what is f(x)=1

In other words what is x when y is 1??

So when looking at the graph, x is -2 when y is at 1!!

Therefore, f(-2) =1

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Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2
soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

<u>Solution:</u>

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is \frac{-1}{2}

Need to determine value of r.

Slope of a line passing through point \left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)  is given by following formula:

\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}  --- eqn 1

\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}

On substituting the given value in (1) we get

\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}

Hence the value of "r" is -2

8 0
3 years ago
I need some help on this math problem, thanks so much
bekas [8.4K]

Answer:

The answer is C.

Step-by-step explanation:

Hit 'em with the Law of Sines.

sin(A)/a = sin(B)/b.

Let's say x is equal to "A", thus 5 is "a".

sin(x)/5 = sin(B)/b.

We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:

a^2 + b^2 = c^2

5^2 + 20^2 = c^2

25 + 400 = 425

sqrt(425) = about 20.6, which we can now substitute "b" with.

sin(x)/5 = sin(90)/20.6

sin(x)/5 = 1/20.6

sin(x)/5 = 0.04854...

sin(x) = 0.2427...

You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.

6 0
3 years ago
Which is the quotient of 5 ÷ 1/4 ? Use the model to help. due TOMMOROW help
DaniilM [7]

The answer would be 1.25.

6 0
3 years ago
What is 10 3/4 - 5 1/4=
Temka [501]

you can make it into an improper fraction if you want but there is no need for this problem

steps

1) 10 3/4- 5 1/4

10-5=5

3/4-1/4=2/4 or 1/2

answer:5 1/2 or 5 2/4

(it is better simplified)

8 0
3 years ago
Read 2 more answers
What is the location of point C?<br><br><br><br> (-7, -2)<br> (-2, -7)<br> (-2, 7)<br> (-7, 2)
rewona [7]

Answer:

(-2,-7)

Step-by-step explanation:

x comes before Y

5 0
3 years ago
Read 2 more answers
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