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8090 [49]
3 years ago
15

What is the slope-intercept form equation of the line that passes through (5,7) and (8,22)

Mathematics
1 answer:
JulsSmile [24]3 years ago
6 0

\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad(\stackrel{x_2}{8}~,~\stackrel{y_2}{22})\\\\\\ slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{22-7}{8-5}\implies \cfrac{15}{3}\implies 5\\\\\\ \begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-7=5(x-5)\\\\\\y-7=5x-25\implies y=5x-18

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In which atmosphere layer do humans live most of their lives?
icang [17]

Answer:

Troposphere

Step-by-step explanation:

We humans live in the troposphere, and nearly all weather occurs in this lowest layer. Most clouds appear here, mainly because 99% of the water vapor in the atmosphere is found in the troposphere.

5 0
3 years ago
Tell whether the ordered pair is a solution of the equation<br> y=5x; (15,-3)
n200080 [17]

Answer:

This ordered pair is NOT a solution of the equation.

Step-by-step explanation:

First, it is important to note that ordered pairs consist of (x, y) so in this case

x = 15 and y = -3.  And that any variable directly next to a number calls for multiplication.  So, plugging in the variables the equation would look like

"-3 = 5 x 15"  

To see if 5 x 15 = -3 we will multiply them.  5 x 15 actually equals 75 not -3.  So we know this ordered pair is NOT the solution for the problem.  

3 0
2 years ago
Can you guys help me with this? Pls, Okay anyways.. Its a math problem! To make a Fruit salad, Chris bought 3 pounds of strawber
Nezavi [6.7K]

Answer:

$33.81

Step-by-step explanation:

(3 * 2.49) + (2 * 3.19) + (4 * 4.99)

7.47 + 6.38 + 19.96 = 33.81

Please mark brainliest if you like

8 0
2 years ago
SOMEONE PLEASE HELP ME WITH THIS AND EXPLAIN EACH ONE AND HOW YOU DID IT PLEASE MY TEACHER SUCK AND ILL GIVE YOU BRAINLY IF U GE
valentinak56 [21]

Answer:

a)

d)

Step-by-step explanation:

It's easiest to reduce each statement to its simplest form for comparison

Our test statement can be reduced by combining like terms

16x - 12 -24x + 4 = -8x - 8

this becomes our new gold standard

a) 4 + 16x - 12(1 + 2x)

apply the distributive property by multiplying terms in parenthesis by -12

4 + 16x - 12 - 24x

combine terms

-8x - 8     Yeaah, We have a winner as it exactly matches our gold standard.

b) 40x - 16 is already in simplest terms and does NOT match the gold standard.

c) 16x - 24x - 4 + 12

has the same cardinal values as the original, but differing signs, reducing gives -8x + 8

Not quite the same as a plus sign occurs where a negative exists in our gold standard.

d) -8x - 8  is already in simplest terms and exactly matches our gold standard. Yeah!

e) 10(1.6x - 1.2 - 2.4x + 4)

apply distributive property by multiplying each term in parenthesis by 10

16x - 12 - 24x + 40

combine like terms

-8x + 28 does NOT match our gold standard

5 0
2 years ago
This is the graph of f(x) = lxl.
irina [24]

Answer:

You are clicking on graphs.

However, you should sketch a graph of your function to see what the correct one looks like.

Create a table containing a few values of x and y

I chose x = -4, -2, 0, 2, 4.

Draw your axes

Plot your points

Draw the graph

Your graph should look like the one below.

Step-by-step explanation:

5 0
2 years ago
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