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alexgriva [62]
2 years ago
9

Standard form: 10X - 7y = -8 slope-intercept form: ___________________

Mathematics
2 answers:
Eva8 [605]2 years ago
4 0
Hope this help’s you out.

lora16 [44]2 years ago
3 0

Answer:

y=\frac{10}{7}x+\frac{8}{7}

Step-by-step explanation:

Slope-intercept formula:

y=mx+b

Isolate y on one side:

10x - 7y = -8

\frac{10x}{7} -\frac{7y}{7} =\frac{-8}{7}               divide everything by 7 since 7 is the number next to y

\frac{10x}{7} -y =\frac{-8}{7}

We can't simplify it any further, so let us rearrange it.

y=\frac{10x}{7}-\frac{-8}{7}                According to the formula, y=mx+b, the y is first

y=\frac{10}{7}x+\frac{8}{7}

Therefore, y=\frac{10}{7}x+\frac{8}{7} is the slope-intercept form.

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Barton reads part of a book every night before he goes to bed. The graph shows the number of chapters that he reads over time.
Grace [21]

The unit rate is the rate of change per day or the slope.


To get the slope of the line, we use the slope formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where (x_{1},y_{1}) is point 1 on the line and tex](x_{2},y_{2})[/tex] is point 2 on the line.

Let's take 2 points from the line and calculate the slope. We will take the points (0,0) and (1,3) (any two points on the line will give the correct answer).

m=\frac{3-0}{1-0} \\m=\frac{3}{1}\\m=3

<u>This means Barton reads 3 chapters per day. Answer choice C is right.</u>


ANSWER: C

8 0
3 years ago
suppose that you are headed toward a plateau 80 meters high. if the angle of elevation to the top of the plateau is 35 degree, h
slega [8]

We are 114.28 m from the base of the plateau .

<u>Step-by-step explanation:</u>

Here we have , suppose that you are headed toward a plateau 80 meters high. if the angle of elevation to the top of the plateau is 35 degree, WE need to find that how far are you from the base of the plateau . If we see in question , it's clearly a question from application of trigonometry :

We have ,

Perpendicular = 80 m

Base = x

Angle =  35 = \alpha ( between base & hypotenuse )

It's a right angled triangle , So

tan\alpha  = \frac{Perpendicular}{base}

⇒ tan\alpha  = \frac{Perpendicular}{base}

⇒ tan35  = \frac{80}{x}

⇒ x  = \frac{80}{tan35}

tan35 = 0.7

⇒ x  = \frac{80}{0.7}

⇒ x  = 114.28m

Therefore, We are 114.28 m from the base of the plateau .

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3 years ago
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Answer:

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Step-by-step explanation:

5 0
4 years ago
How many solutions does the absolute value equation below have?<br><br><br><br><br><br> |x + 6| = –8
WINSTONCH [101]
The answer is there are no solution that fulfill this equation because if you put for example -14 the answer will be -8 but there is absolutely sign, so the answer is 8. Hope it help!
6 0
3 years ago
Please fill in the final row (x)
Nata [24]

Answer:

x = 11

Step-by-step explanation:

The Frequency column has to total 50 ( number of rolls on dice )

Thus total the given frequencies and equate to 50, that is

12 + 8 + 7 + 3 + 9 + x = 50

39 + x = 50 ( subtract 39 from both sides )

x = 11

3 0
4 years ago
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