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Katena32 [7]
3 years ago
13

Find the slope of the points (5,-6) and (-1, 7).

Mathematics
2 answers:
fomenos3 years ago
7 0
M = 13 / -6 = -2.16667 your answer should be -2.16
wolverine [178]3 years ago
4 0

Answer:

-\frac{13}{6}

Step-by-step explanation:

To find the slope between two points, we can use the slope formula. The slope formula is:

m=\frac{y_2-y_1}{x_2-x_1}

where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.

Plugging in (-1, 7) and (5, -6) for (x₁, y₁) and (x₂, y₂) respectively, we get:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{-6-7}{5-(-1)}=\frac{-13}{6}=-\frac{13}{6}

So the slope between the two points would be -\frac{13}{6}.

I hope this helps. Happy studying.

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The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.
Dmitry [639]
The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
\frac{360}{100} = \frac{130}{M}  \\ M=(100*130)/360 \\ M=36.11%

women voters
\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89%

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters

6 0
3 years ago
What is the solution to the following system of equations? x − 4y = 6 2x + 2y = 12 (0, 10) (10, 0) (6, 0) (0, 6)
frozen [14]

Answer:

(6,0)

Step-by-step explanation:

The given system has equations:

x-4y=6

2x+2y=12

Multiply the top equation by 2 to get:

2x-8y=12

2x+2y=12

Subtract the top equation form the bottom equation to get:

2x-2x+2y--8y=12-12

\implies 10y=0

\implies y=0

Put y=0 into x-4y=6

x-4*0=6

\implies x=6

Therefore the solution is (6,0)

4 0
3 years ago
Jim leaves the gym running 5 mph. Ten minutes later Bob leaves the gym on his bike traveling at a speed of 8 mph. how long will
podryga [215]

Answer:

26 2/3 minutes:  The two boys meet after 26 2/3 minutes

Step-by-step explanation:

Distance covered by Jim = Distance covered by Bob

     (5 mph)(t)                      = (8 mph)(t - 10)

Simplify this by performing the indicated multiplication:

           (5 mph)(t)                 = (8 mph)(t) - 80 mi

or:

                 80 mi                 = (3 mph)(t), or

     80 mi

t = ----------- = 26 2/3 minutes

     3 mph

7 0
3 years ago
Read 2 more answers
Y=e^x how do I solve this
kolezko [41]
If you're trying to solve for x, keep in mind the ln (natural log) of e is 1. So take the natural log of both sides, which will give you ln Y = ln e^x. The ln and e essentially cancel out, so you're left with x = ln Y. 
6 0
3 years ago
The smith family is designing new plans for an in ground pool. mr smith draws a rectangular shape with a length that is 5 feet l
dolphi86 [110]
Answer
Are of the pool = w² + 5w (in square feet)


Explanation

Since the pool is rectangular in shape,
Area of the pool can be calculated using the formula for the area of a rectangle

Area of rectangle = length x width

Given,
Width of pool (Assume is same as height) = w
Length of pool= w + 5

Area = w * (w + 5)
= w² + 5w (in square feet)
where w is the width of the pool
3 0
3 years ago
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