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agasfer [191]
3 years ago
9

Hii can someone help with this pls :)

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0

Answer:

R(x,y) = (0.8,-1.2)

Step-by-step explanation:

The coordinates of QS are:

Q(x_1,y_1) = (-2,-6)

S(x_2,y_2) = (5,6)

The ratio is represented as:

R_{m:n} = 2:3

Required

Find the coordinates of R

The coordinates of R is calculated by:

R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})

Substitute values for m, n, x's and y's

R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})

R(x,y) = (\frac{4}{5},\frac{-6}{5})

R(x,y) = (0.8,-1.2)

<em>None of the options is correct</em>

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It will be a negative number because you're taking 7 away from 4. You can do 7-4 and it will equal 3, but you flip it, and it will be -3.

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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
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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

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