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drek231 [11]
4 years ago
8

Please answer this question!! 30 POINTS AND BRAINLIEST!!

Mathematics
2 answers:
Mama L [17]4 years ago
6 0

Answer:

Yes, they are parallel

Step-by-step explanation:

You can rewrite the second equation in slope intercept form to get your answer.

x-2y-8=0

-2y=-x+8

y=1/2x-4

Since the slope of this line is the same as that of the first, they are parallel. Hope this helps!

Feliz [49]4 years ago
6 0

Answer:

see below

Step-by-step explanation:

Take the second equation and put it in slope intercept form

y = 1/2x+3

x -2y -8=0

Subtract x from each side

x-2y-8-x = 0-x

-2y -8 = -x

Add 8 to each side

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

-2y = -x+8

Divide each side by -2

-2y/-2 = -x/-2 +8/-2

y = 1/2 x -4

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

The slopes are the same  and the y intercepts are different which means they are parallel lines.  If they had the same slopes and the same y intercept they would be the same line

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Mrs. Lenz rented a scooter during her beach vacation. The cost of the scooter rental is shown for different periods of time. Wha
iragen [17]

Answer:

The unit rate of $10 per hour.

Step-by-step explanation:

Given

x = time

y = amount

(x,y) = (1,10)

See attachment for graph

Required

What does the given point represents

From the attachment, the origin of the graph is:

(x_1,y_1) = (0,0)

and we have the given point to be:

(x_2,y_2) = (1,10)

Calculate the slope (m)

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

m = \frac{10-0}{1-0}

m = \frac{10}{1}

m = 10

The slope represents $10/1 hour

Hence:

(x,y) = (1,10) means the unit rate is $10 per hour

8 0
3 years ago
Find the length of x. help please !
andreyandreev [35.5K]

Answer:

x = 10

Step-by-step explanation:

Use CPCTC (Corresponding parts of congruent triangles are congruent).

Set the ratios:

\frac{6.5}{5} = \frac{6.5 + 6.5}{x}

First, simplify. Combine like terms:

\frac{6.5}{5} = \frac{13}{x}

Next, cross multiply.

5 * x * \frac{6.5}{5}  = \frac{13}{x} * x * 5\\x * 6.5 = 13 * 5\\6.5x = 65\\

Isolate the variable, x. Divide 6.5 from both sides of the equation:

\frac{(6.5x)}{6.5} = \frac{(65)}{6.5} \\\\x = \frac{65}{6.5}\\x =  10

Check:

\frac{5}{6.5} = \frac{x}{13}

Plug in 10 for x (Your answer). Cross multiply, then simplify:

\frac{5}{6.5} = \frac{10}{13}

13 * 6.5 * \frac{5}{6.5} = \frac{10}{13} * 13 * 6.5

13 * 5 = 10 * 6.5

65 = 65 (True).

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6 0
3 years ago
A square has sides 5 inches long. what is the approximate length of a diagonal of the square?
Nina [5.8K]

Answer:

20

Step-by-step explanation:

5x4= 20

4 0
3 years ago
Jan began with 5/6 pound of modeling clay she used 1/5 of the clay to make decorative magnets. She divided the remaining clay in
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Starting weight:  5/6 lb.  Of this, Jan used 1/5, which would be (1/5)(5/6) lb, 
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5 0
3 years ago
Which expression is equivalent to 12(2+3x−6) ?
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The answer is suppose to be 36x-48
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