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Lady_Fox [76]
1 year ago
6

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

#SPJ13

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trasher [3.6K]
The answer to the first part is 3 1/2 and the answer to the second question is 2/7
3 0
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

so

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

3 0
2 years ago
-30 + 10<br> Find the sum
ludmilkaskok [199]
The answer of -30+10 is -20

-30+10=-20
5 0
3 years ago
The formula for the nth squaresquare number is Upper S Subscript n Baseline equals n squaredSn=n2. Use the formula to find the 9
AURORKA [14]

Answer:

9801

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
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