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labwork [276]
3 years ago
8

What is the equation of a line in slope intercept form, given that the slope of the line is 1 and a point on

Mathematics
1 answer:
choli [55]3 years ago
4 0

Answer:

y= -x +2

Step-by-step explanation:

y-y1 = m(x-x1)

y - 0 = 1(x - (-2))

y = -x + 2)

y = x + 2.

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The length of a rectangle is 5 yd more than double the width, and the area of the of the rectangle is 42 yd to the second power
yanalaym [24]

Answer:

The answer to your question is l = 12 and w = 7/2 or 3.5

Step-by-step explanation:

Data

length = l

width = w

Area = 42 yd²

Process

1) Write equations that help to solve this problem

Area = length x width = l x w

Length = 2width + 5  or   l = 2w + 5

2) Substitution

                       42 = lw                               Equation l

                          l = 2w + 5                        Equation ll

                       42 = (2w + 5)w                   Substitute equation ll in l

3.- Expand

                       42 = 2w² + 5w

                       2w² + 5w - 42 = 0

Solve the equation by factoring

-Multiply 2 by 42

                             2 x 42 = 84

-Find the prime factors of 84

                         84 = 2² 3 7

-Find two numbers that added gives +5 using the prime factors

 These numbers are +12 and -7    

-Substitute the values in the equation

                         2w² -7w + 12w - 42

-Factor by grouping

                        w(2w - 7) + 6(2w - 7)                  

                           (2w - 7)(w + 6)

-Find w

                    2w₁ - 7 = 0             w₂ + 6 = 0

                      w₁ = 7/2               w₂ = -6   This value is discarted because

                                                                  there are no negative values

-Find l

                     l = 2(7/2) + 5

                     l = 7 + 5

                     l = 12

7 0
3 years ago
5/7=x/42 what is the value of x
sasho [114]
5/7 = x/42
5/1 = x/6
X = 30
4 0
3 years ago
Diane keeps her ribbons in a drawer. She has 3 white ribbons, 6 pink ribbons, 2 yellow ribbons, and 7 blue ribbons. Without look
Akimi4 [234]

Answer:

1/3

Step-by-step explanation:

She has 18 ribbons in total and she has 6 pink ribbons so she has a 6/18 chance or 1/3 chance of pulling a pink ribbon

6 0
3 years ago
The sum of two numbers is five. If n is used to represent the smaller number, translate "three less than two times the larger nu
mojhsa [17]
I think that the answer is four because it makes much more sense but five is not greater than five or less than five so I don’t know. Try four though sorry if it’s wrong though.
7 0
4 years ago
Which of the following represents 76% as a fraction in simplest form? A. 37/50 B. 19/25 C. 39/50 D. 17/25
lakkis [162]
I hope this helps you



76%


76/100


4.19/4.25


19/25
8 0
4 years ago
Read 2 more answers
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