All categories

2 years ago

The points (-15, r) and (-3, 16) lie on a line with slope 5/4. Find the missing coordinate r.

Mathematics

1 answer:

Setler79 [48]2 years ago

4 0

Answer:

r = 1

Step-by-step explanation:

we know that :

$Slope=\frac{y_{B}-y_{A}}{x_{B}-x_A}$

Then

$\frac{5}{4} =\frac{16-r}{-3-(-15)}$

Then

$\frac{5}{4} =\frac{16-r}{12}$

Then

5×12 = 4×(16-r)

Then

60 = 64 - 4r

Then

4r = 64 - 60

Then

4r = 4

Then

r = 1

You might be interested in

The value of n is both 5 times as much as the value of m and 36 more than the value of m. what are the values of n and m? explai

Cloud [144]

I'm in seventh grade. I haven't learned that yet.
try asking your teacher.

8 0

3 years ago

What's 4x² - 9y² factorised?

algol [13]

It can't be factorized it has no common factors no factor of 4 will go easily into 9

4 0

3 years ago

|-4| - 8 + 10 = ??? answer for points

Elis [28]

Answer:

Step-by-step explanation:

As you might know, the two lines surrounding the -4 represent the absolute value, which is basically the distance from 0, and the distance is always positive. To clear any confusion, the absolute value of positive number will not be it's opposite because remember, distance is always positive, so absolute value is always positive (because it is basically the distance from zero).

To help, here is an example (that is not related to the problem!):

|-6| = 6

|6| = 6

Now, back to the problem...

Since you now know that the absolute value is always positive, |-4| would equal 4. So now you have:

4 - 8 + 10 = ???

From here, you can just solve and the answer is 6, so:

4 - 8 + 10 = 6

You final answer is 6.

Hope this helped somehow :D

4 0

3 years ago

Read 2 more answers

Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider

kiruha [24]

Answer:

Part A) $V(t)=-5,750t+101,250$

Part B) $\$55,250$

Step-by-step explanation:

Part A) Express the value of the bulldozer, V, as a function of how many years old it is, t.

Let

V ----> the value of the bulldozer (dependent variable or output value)

t ----> the number of years (independent variable or input value)

we know that

The linear function in slope intercept form is equal to

$V(t)=mt+b$

we have the ordered pairs

(0,101,250) and (15,15,000)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{15,000-101,250}{15-0}$

$m=-\$5,750\ per\ year$ ----> is negative because is a decreasing function

The value of b is the initial value

$b=\$101,250$

substitute

$V(t)=-5,750t+101,250$

Part B) The value of the bulldozer after 8 years is

For t=8 years

substitute the value of t in the linear equation

$V(t)=-5,750(8)+101,250=\$55,250$

4 0

3 years ago

Compare the functions shown below: Which function has the greatest maximum y-value?

solmaris [256]

Answer: It's a tie between f(x) and h(x). Both have the same max of y = 3

The highest point shown on the graph of f(x) is at (x,y) = (pi,3). The y value here is y = 3.

For h(x), the max occurs when cosine is at its largest: when cos(x) = 1.
So,
h(x) = 2*cos(x)+1
turns into
h(x) = 2*1+1
h(x) = 2+1
h(x) = 3
showing that h(x) maxes out at y = 3 as well

--------------------------------

Note: g(x) has all of its y values smaller than 0, so there's no way it can have a max y value larger than y = 3. See the attached image to see what this graph would look like if you plotted the 7 points. A parabola seems to form. Note how point D = (-3, -2) is the highest point for g(x). So the max for g(x) is y = -2

3 0

3 years ago

Read 2 more answers