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Kamila [148]
3 years ago
10

Which equations represent the line that is parallel to 2x-7y=9 and passes through the point

Mathematics
1 answer:
almond37 [142]3 years ago
4 0

Answer:

e. 2x - 7y = 31.

Step-by-step explanation:

If you want a line parallel to the equation, the line must have the same slope.

2x - 7y = 9

-7y = -2x + 9

y = 2/7x - 9/7

You are looking for a line where the slope is 2/7.

a. Slope is 7/2.

b. Slope is -7/2.

c. Slope is 7/2.

d. Slope is...

y + 2 = 3/4x + 3

y = 3/4x + 1

Slope is 3/4.

e. Slope is -2/-7, which is 2/7. Just make sure to check whether it passes through (5, -3) by substituting those points into the equation.

2 * 5 - 7 * -3 = 31

10 --21 = 31

10 + 21 = 31

And there's your answer: e.

Hope this helps!

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Answer pls<br> thank you
frosja888 [35]

Answer:

d = 5/6t

Step-by-step explanation:

5 stories every 6 seconds

at 12 seconds, it would have travelled 10 seconds.

using this 2 data in this formula

(y-y1)/(x-x1) = (y2-y1)/(x2-x1)

Note : d = y, t = x;

d1 = 5, t1 = 6, d2 = 10, t2 = 12

we have

(d - 5)/(t-6) = (10-5)/(12-6)

(d - 5)/(t-6) = 5/6

d = 5/6(t-6) + 5

d = 5/6t -5+5

d = 5/6t

7 0
2 years ago
During a business trip, an individual stopped at two rest stops. In the parking lot of the first rest stop, they counted 20 cars
olganol [36]

Answer

given,

on first stop

number of car = 20  and number of trucks = 18

on second stop

number of car = 18  and number of trucks = 10

we need to calculate which rest stop has higher ratio of car to truck.

Rest Stop 1

ratio= r₁ =\dfrac{cars}{trucks}

           r₁ =\dfrac{20}{18}

           r₁ =\dfrac{10}{9}

Rest Stop 2

ratio= r₂ =\dfrac{cars}{trucks}

           r₂ =\dfrac{18}{10}

           r₂=\dfrac{9}{5}

hence, r₂ > r₁

rest stop 2 has more car to truck ratio than rest stop 1

3 0
3 years ago
Goran is riding his bicycle. He rides for 22.5 kilometers at a speed of 9 kilometers per hour. For how many hours does he ride?
astra-53 [7]

Answer: He rides for 2.5 hours or 2 and a half hours.

Step-by-step explanation:

He needs to complete a trajectory of 22.5 kilometers.

He rides 9 kilometers per hour.

Divide the total by the amount of kilometers that he rides.

\frac{22.5}{9}=2.5h

6 0
3 years ago
A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a n
mash [69]

Answer:

We fail to reject H0; Hence, we conclude that there is no significant evidence that the mean amount of water per gallon is different from 1.0 gallon

Pvalue = - 2

(0.98626 ; 1.00174)

Since, 1.0 exist within the confidence interval, then we can conclude that mean amount of water per gallon is 1.0 gallon.

Step-by-step explanation:

H0 : μ= 1

H1 : μ < 1

The test statistic :

(xbar - μ) / (s / sqrt(n))

(0.994 - 1) / (0.03/sqrt(100))

-0.006 / 0.003

= - 2

The Pvalue :

Pvalue form Test statistic :

P(Z < - 2) = 0.02275

At α = 0.01

Pvalue > 0.01 ; Hence, we fail to reject H0.

The confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 99% confidence level = 2.58

Margin of Error = 2.58 * 0.03/sqrt(100) = 0.00774

Confidence interval :

0.994 ± 0.00774

Lower boundary = (0.994 - 0.00774) = 0.98626

Upper boundary = (0.994 + 0.00774) = 1.00174

(0.98626 ; 1.00174)

7 0
3 years ago
Can anyone help me?
Charra [1.4K]
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2x(x²) + 2x(6x) + 2x(8) + 5(x²) + 5(6x) + 5(8) = l(x + 4)(x + 2)
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                              (2x + 5)(x² + 2x + 4x + 8) = l(x + 4)(x + 2)
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                                          (x + 4)(x + 2)           (x + 4)(x + 2)
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4 0
3 years ago
Read 2 more answers
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