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atroni [7]
3 years ago
9

Find the slope-intercept form of an equation for the line that passes through (–1, 2) and is parallel to y = 2x – 3.

Mathematics
1 answer:
STALIN [3.7K]3 years ago
4 0

Answer:

c) y= 2x +4

Step-by-step explanation:

<u>Slope-intercept form:</u>

y= mx +c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Gradient of given line= 2

m= 2

y= 2x +c

To find the value of c, substitute a pair of coordinates into the equation.

when x= -1, y=2,

2= 2(-1) +c

2= c -2

c= 2 +2

c= 4

Thus, the equation of the line is y= 2x +4.

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3 years ago
2. One angle is one less than six times the measure of
Illusion [34]

The equations used to find the measure of each angle in degrees is x + y = 90 and x = 6y - 1

The two complementary angles are 77 degrees and 13 degrees

<em><u>Solution:</u></em>

Given that two angles are complementary angles

Complementary angles are two angles whose sum is 90 degrees

Let one of the angle be "x" and the other angle be "y"

Therefore,

x + y = 90 ------ eqn 1

Also given that,

One angle is one less than six times the measure of  another

one angle = six times the other angle - 1

x = 6y - 1 ------ eqn 2

Substitute eqn 2 in eqn 1

6y - 1 + y = 90

Thus the above equation is used to find the measure of each angle in degrees

Solve the above equation

6y + y - 1 = 90

7y - 1 = 90

7y = 91

y = 13

Substitute y = 13 in eqn 2

x = 6(13) - 1

x = 78 - 1

x = 77

Thus the two complementary angles are 77 degrees and 13 degrees

8 0
4 years ago
Expand [a/3-b/6-1]^2
KATRIN_1 [288]

Answer:

(a/3

(  \frac{a}{3}  -  \frac{b}{5}  ) {}^{2}

\frac{ {a}^{2} }{9}  -  \frac{2ab}{15}  +  \frac{b {}^{2} }{25}

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Read 2 more answers
HOW DO I SOLVE THIS??<br> What would the answer be??<br> THANKS!
Arisa [49]
Convert 300% into decimals. So move the decimal point 2 times to the left and you get 3.00 and multiply it by 5 and square it because area of square is s^2
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4 years ago
When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution?
Anna [14]

When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution then"it is flatter and wider than the normal distribution."

<h3>What is normal distribution?</h3>

The normal distribution explains a symmetrical plot of data around the mean value, with the standard deviation defining the width of the curve. It is represented graphically as "bell curve."

Some key features regarding the normal distribution are-

  • The normal distribution is officially known as the Gaussian distribution, but the term "normal" was coined after scientific publications in the nineteenth century demonstrated that many natural events emerged to "deviate normally" from the mean.
  • The naturalist Sir Francis Galton popularized the concept of "normal variability" as the "normal curve" in his 1889 work, Natural Inheritance.
  • Even though the normal distribution is a crucial statistical concept, the applications in finance are limited because financial phenomena, such as expected stock-market returns, do not fit neatly within a normal distribution.
  • In fact, prices generally follow a right-skewed log-normal distribution with fatter tails.

As a result, relying as well heavily on the a bell curve when forecasting these events can yield unreliable results.

To know more about the normal distribution, here

brainly.com/question/23418254

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