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3 years ago

Write the equation of a line that is parallel to y = 7x +13 that passes through the point (28, 8).

Mathematics

1 answer:

navik [9.2K]3 years ago

7 0

Answer:

y=7x-188

Step-by-step explanation:

We know that this line must have a slope of 7, because this line is parallel to y=7x+13

We must use the point slope formula: y- $y_{1}$ = m(x- $x_{1}$ )

Next, we will plug in the point (28,8) for $y_{1}$ and $x_{1}$ , and 7 in for m

y-8=7(x-28)

Solve the equation, first by distributing the 7

y-8=7x-196

Add the 8 over

y=7x-188

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Find the equation of a line parallel to – 2y = –2 – 2x that passes through the point (9,-9).

riadik2000 [5.3K]

Answer:

2y + 2x = 0

Step-by-step explanation:

First you have to find the slope of the line.

Parallel lines have same slope

2y = -2-2x

y=-1-1x, y=-1x-1

slope = -1

Use point slope formula

y-y=m(x-x)

y-(-9) = -1(x-9)

y+9 = -1(x-9)

y+9 = -1x+9

y = -x

y + x = 0

2y + 2x = 0

7 0

3 years ago

A party tent is used for an outdoor event. Ropes of equal length support each tent pole. The angle the rope makes with the floor

Virty [35]

Law of sines can be used to solve this problem:

(note - let x represent the missing side length.)

1. set up proportion.
sin 90°/25 = sin 55°/x

2. solve.
(x) sin 90° = (25) sin 55°

(x) sin 90 °/sin 90° = (25) sin 55° / sin 90°

x = 20.4788011072
rounded to nearest tenth = 20.5

8 0

3 years ago

Read 2 more answers

There are 36 Red Marbles and 44 Blue marbles put into a bag. What is the probability of drawing a red marble out of the bag?

tigry1 [53]

The probability of drawing a red marble is 45%
I hope this was right and helpful and sorry for responding so late

7 0

3 years ago

Solve the inequality.

Sonbull [250]

Answer:

Step-by-step explanation:

8 (x/4 -6) >= 4

(x/4 - 6) >= 4/8

(x/4) >= 0.5 +6

x >= 6.5 x 4

x>= 26

3 0

3 years ago

The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean o

Fynjy0 [20]

Answer:

a) 5.6 years

b) 0.4478

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 5.6 years

Standard Deviation, σ = 1.9 years

Sample size, n = 18

We are given that the distribution of amounts of time is a bell shaped distribution that is a normal distribution.

a) Mean of each sample.

The best estimator of the sample mean is the population mean itself. Thus, we have:

$\mu_{x} = \mu = 5.6$

Thus, the sample mean is 5.6 years.

b) Standard error

Formula:

$S.E = \dfrac{\sigma}{\sqrt{n}}$

Putting values, we have.

$S.E = \dfrac{1.9}{\sqrt{18}} = 0.4478$

Thus, the standard error is 0.4478.

7 0

3 years ago