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3 years ago

Find the slope of the line that passes through the points A(–3, 1) and B(2, –5).

Mathematics

2 answers:

mafiozo [28]3 years ago

7 0

Answer:

-6/5 or -1 1/5

Step-by-step explanation:

The formula to find the slope with any 2 points of a line is rise/run, or

(y2-y1)/(x2-x1)

In this case, y2 is -5, y1 is 1, x1 is -3, and x2 is 2.

So, the slope is:

(-5-1)/(2-(-3))

-6/5 which, as a mixed number, is -1 1/5.

You can also graph out the points on a coordinate plane, draw the line between the points, and count the rise/run, but that might take a minute or two, which is not the best if you have a timed test.

Kipish [7]3 years ago

6 0

Answer:

- 6/5

Step-by-step explanation:

To find the slope

m = ( y2-y1)/(x2-x1)

= ( -5-1)/(2- -3)

= (-5-1)/(2+3)

- 6/5

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Which linear inequality is represented by the graph?

ozzi

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3 0

3 years ago

Which model represents 2.36 ÷ 4? A. Three groups of three tenths and four hundredths B. Three groups of five tenths and nine hun

Nimfa-mama [501]

Answer:

Five groups of five tenths and nine hundredths

Step-by-step explanation:

Mathematically;

2.36 divided by 4 = 0.59

So we want to select from the options, the best representation of this

That will be

0.5 + 0.09

so our answer is 5 groups of five tents and nine hundredths

4 0

2 years ago

Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 33 ft long. She

qaws [65]

<h3>Answer: 16 ft by 25 ft</h3>

=========================================================

Explanation:

Refer to the diagram below.

The outer dimensions 24 ft and 33 ft shrink down to 24-2x ft and 33-2x ft respectively. This subtraction of 2x is due to subtracting two copies of x per side.

The carpet has area of (24-2x)(33-2x)

Cynthia can afford to buy 400 sq ft of carpet

So we set 400 equal to that previous expression and solve for x

(24-2x)(33-2x) = 400

24(33-2x) - 2x(33-2x) = 400

792-48x - 66x + 4x^2 = 400

4x^2 - 114x + 792 = 400

4x^2 - 114x + 792-400 = 0

4x^2 - 114x + 392 = 0

From here, use the quadratic formula to isolate x.

Plug in a = 4, b = -114, c = 392

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-114)\pm\sqrt{(-114)^2-4(4)(392)}}{2(4)}\\\\x = \frac{114\pm\sqrt{6724}}{8}\\\\x = \frac{114\pm82}{8}\\\\x = \frac{114+82}{8} \ \text{ or } \ x = \frac{114-82}{8}\\\\x = \frac{196}{8} \ \text{ or } \ x = \frac{32}{8}\\\\x = 24.5 \ \text{ or } \ x = 4\\\\$

The two possible solutions are x = 24.5 and x = 4

But if x = 24.5, then 24 - 2x = 24 - 2*24.5 = -25 which isn't possible. We cannot have a negative width or negative length for the carpet.

Luckily x = 4 does work since

24 - 2x = 24 - 2*4 = 16

33 - 2x = 33 - 2*4 = 25

Both results are positive.

Therefore, the carpet has dimensions of <u>16 ft by 25 ft</u>

Check: 16*25 = 400, so the answer is confirmed

5 0

1 year ago

Jason needs to explain to his class how to use mental math to find the product of 400,000×50,000 how would u explain that

elena55 [62]

You would do 5 times 4 which is 20. then count how many zero's there are and put them after the 20.

4 0

3 years ago

Use the functions to answer the question.

Ksivusya [100]

Composition function rule (f○g)(x) = f(g(x))
<em><u /></em><u>Given the separate functions</u>: $f(x)=2x+1$ and $g(x)=x^2$

$(f\circ g)(-5)\rightarrow\text{ Composition Function Rule}\rightarrow f(g(-5))=2((5)^2)+1$
$\rightarrow2(25)+1=50+1=51$

4 0

3 years ago

​Find the slope of the line that passes through the points ​A​(–3, 1) and ​B​(2, –5).

Find the slope of the line that passes through the points A(–3, 1) and B(2, –5).