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2 years ago

Find the slope from the table

Mathematics

1 answer:

Sedaia [141]2 years ago

4 0

Answer:

-6

Step-by-step explanation:

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What is 5 + 2^3 divided by 4 - 2

V125BC [204]

Answer:

Step-by-step explanation:

5+ $2^{3}$ /4-2

$2^{3}$ = 2 x 2 x 2 (12)

5+ 12 / 4-2

5 + 3 - 2

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3 years ago

Read 2 more answers

7. Tariq can play 18 holes of golf in 180 minutes. Calculate what is his average rate per hole?

Murljashka [212]

The avarage is 180:18=10 , 10 min per hole

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2 years ago

Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x

egoroff_w [7]

Answer:

$y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept.

Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)

Determine the slope (m):

$y = 1 -2x$

Rearrange into slope-intercept form:

$y = -2x+1$

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of $\displaystyle\frac{1}{2}$ . Plug this into $y=mx+b$ :

$y=\displaystyle\frac{1}{2} x+b$

Determine the y-intercept (b):

$y=\displaystyle\frac{1}{2} x+b$

Plug in the given point (1,3) and solve for b:

$3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}$

Therefore, the y-intercept is $\displaystyle \frac{5}{2}$ . Plug this back into $y=\displaystyle\frac{1}{2} x+b$ :

$y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}$

I hope this helps!

8 0

2 years ago

Write a system of two equations in two variables to solve the problem. when fully extended, a ladder is 28 feet in length. if th

Alisiya [41]

Let the base of the ladder be x ft and the extension be y ft.

"when fully extended, a ladder is 28 feet in length."

means: x+y=28

"the extension is 4 feet shorter than the base"

means: y=x-4, that is x-y = 4, (taking y to the side of x, and -4 to the other side of x and y)

thus, we have the system of equations:

1) x+y= 28

2) x-y=4

adding the 2 equations, we have:

(x+y)+(x-y)=28+4

2x=32

x=32/2=16

x+y=28, so 16+y=28, thus y=12

Answer: Base: 16, Extension 12

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2 years ago

The perimeter of a rectangular playgroundis 46m. If the length of the park is 7m, what is the width of the park ?

Vikki [24]

Answer:

Step-by-step explanation:

7m + 7m = 14m

46m - 14m = 32m

4 0

2 years ago