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1 year ago

Find an equation of the line described below. Write the equation in slope-intercept form (solved for y), when possible.

Mathematics

1 answer:

SCORPION-xisa [38]1 year ago

8 0

The equation of the line in slope-intercept form would be y = m(x - 1/5) - 8.

<h3>What is slope intercept form a straight line?</h3>

The slope-intercept form of a straight line is used to get the equation of a line. We need to know the slope of the line and the intercept where the line crosses the y-axis in order to use the slope-intercept formula.

One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope-intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfills.

Since the slope is undefined in the given question, let us consider it as m.

Therefore, slope=m

Given points are 1/5 and -8, so x₁ = 1/5 and y₁ = -8

We know the formula is, y - y₁ = slope × (x - x₁)

Putting the values of x₁, y₁ and slope in the given formula we get,

y -(-8) = m × (x-1/5)

y = m(x-1/5) - 8

Hence, we get the required equation.

To learn more about slope intercept form, visit:

brainly.com/question/9682526

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Please help with #22! You don’t have to fully explain.

trasher [3.6K]

The answer to the first part is 3 1/2 and the answer to the second question is 2/7

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3 years ago

Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge

Ede4ka [16]

Answer:

Part a) The quadratic function is $4x^{2} +20x-39=0$

Part b) The value of x is $1.5\ in$

Part c) The photo and frame together are $7\ in$ wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

$(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0$

Part b) What is the value of x?

Solve the quadratic equation $4x^{2} +20x-39=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem

we have

$4x^{2} +20x-39=0$

$a=4\\b=20\\c=-39$

substitute in the formula

$x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}$

$x=\frac{-20(+/-)\sqrt{1,024}} {8}$

$x=\frac{-20(+/-)32} {8}$

$x=\frac{-20(+)32} {8}=1.5\ in$ -----> the solution

$x=\frac{-20(-)32} {8}=-6.5\ in$

Part c) How wide are the photo and frame together?

$(4+2x)=4+2(1.5)=7\ in$

5 0

3 years ago

A box of granola bars contains 3 chocolate chip bars, 2 peanut butter bars, 1 lemon bar, and 4 raisin bars. Iesha will randomly

ella [17]

Answer:

2/45

Step-by-step explanation:

Note this selection is done without replacement hence after each selection sample size will reduce

Given data

Samples 3 chocolate chip bars,

2 peanut butter bars,

1 lemon bar, and

4 raisin bars

Sample size S= [3+2+1+4]= 10

Probability that first selection is lemon = 1/10

Probability that second selection is raisin = 4/9

Hence the probability that the first bar Iesha selects will be lemon and the second will be raisin= 1/10*4/9

= 4/90= 2/45

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2 years ago

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ludmilkaskok [199]

The answer of -30+10 is -20

-30+10=-20

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3 years ago

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AURORKA [14]

Answer:

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Step-by-step explanation:

Given the general term for calculating the nth term of a sequence;

Sn = n²

Where n is the number of terms.

To find the 99th term of the sequence using the nth term of the sequence;

Since we want to get the 99th term, this means that n = 99. Substituting n = 99 into the formula we will have;

S99 = 99²

S99 = 9,801

7 0

2 years ago