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4 years ago

Identify an equation in slope-intercept form for the line parallel to y = 5x + 2

Mathematics

1 answer:

fredd [130]4 years ago

4 0

Answer:

Option A. $y=5x+29$

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we have

$y=5x+2$

The slope of the given line is

$m=5$

Remember that

If two lines are parallel, then their slopes are equal

therefore

The slope of the line parallel to the given line is also $m=5$

step 2

Find the equation of the line parallel to the given line in slope intercept form

$y=mx+b$

we have

$m=5$

$point\ (-6,-1)$

substitute and solve for b

$-1=5(-6)+b$

$-1=-30+b\\b=30-1\\b=29$

substitute

$y=5x+29$

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In circle A shown below, m arc BC is 61° and m Arc EF is 76°.

valkas [14]

The correct answer among the choices provided is the fourth option. The calculated result of the angle FDE is 68.5°. Whenever two chords cut across a circle, the resulting angle is equivalent to half of the sum of the measurements of the arc the angle intersects and that which the angle vertical to the first angle intercepts.
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4 years ago

Which equation represents the line that passes through (0,8)and(2,0)

Lelu [443]

The answer is C.

y= -4x + 8
You can plug in your coordinates.

For (0,8), plug in the x and y values.
8 = -4(0) +8
8 = 0+8
8=8 so, this works

For (2,0) plug in your coordinates.
y = -4x + 8
0 = -4(2) + 8
0 = -8 + 8
0=0

If both coordinates work for the equation, then they pass through that line.

6 0

4 years ago

75 people to 25 people what is the percentage of the change?

garri49 [273]

75-25=50
50/75= 66.67% decrease

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4 years ago

Read 2 more answers

Solve the following system of equations using substitution, elimination, or elimination by multiplication.

Setler [38]

Answer: (-4, 8)

Explanation:
2x - 7(2x + 16) = -64
2x - 14x - 112 = -64
-12x = 48
x = -4
y = 2(-4) + 16
y = -8 + 16
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3 0

3 years ago

for the data values below construct a 95 confidence interval if the sample mean is known to be 12898 and the standard deviation

Volgvan

Answer:

A 95% confidence interval for the population mean is [3315.13, 22480.87] .

Step-by-step explanation:

We are given that for quality control purposes, we collect a sample of 200 items and find 24 defective items.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample proportion of defective items = 12,898

s = sample standard deviation = 7,719

n = sample size = 5

$\mu$ = population mean

Here for constructing a 95% confidence interval we have used a One-sample t-test statistics as we don't know about population standard deviation.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-2.776 < $t_4$ < 2.776) = 0.95 {As the critical value of t at 4 degrees of

freedom are -2.776 & 2.776 with P = 2.5%}

P(-2.776 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.776) = 0.95

P( $-2.776 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.776 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-2.776 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.776 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-2.776 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.776 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $12,898-2.776 \times {\frac{7,719}{\sqrt{5} } }$ , $12,898+2.776 \times {\frac{7,719}{\sqrt{5} } }$ ]

= [3315.13, 22480.87]

Therefore, a 95% confidence interval for the population mean is [3315.13, 22480.87] .

5 0

4 years ago