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NemiM [27]
3 years ago
5

What is the solution of the equation 4x + 3y = 12 7x + 5y = 26

Mathematics
1 answer:
malfutka [58]3 years ago
4 0
The solution would be B) (18,-20)
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It's D. That is the only true statement.
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PLEASE HELP! WILL MARK BRAINLIEST
Veseljchak [2.6K]

The value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.

<h3>How to determine the dimensions?</h3>

The given parameters are:

Base = 5(x+3)

Height = 2(x+9)

Perimeter = 108

The perimeter of a rectangle is

P = 2 *(Base + Height)

So, we have:

2 *(5(x + 3) + 2(x + 9)) = 108

Divide both sides by 2

5(x + 3) + 2(x + 9) = 54

Open the brackets

5x + 15 + 2x + 18 = 54

Evaluate the like terms

7x = 21

Divide by 7

x = 3

Substitute x = 3 in Base = 5(x+3) and Height = 2(x+9)

Base = 5(3+3) = 30

Height = 2(3+9) = 24

Hence, the value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.

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brainly.com/question/24571594

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5 0
1 year ago
A line goes through the points (4, 5) and (2, -6). Write the equation of the line in point-slope
Lerok [7]

Answer:

m (slope) = \frac{11}{2}

Step-by-step explanation:

point-slope form: m= \frac{y2-y1}{x2-x1}

(4, 5)   (2, -6)

x1  y1   x2  y2

-------------------

\frac{-6 - 5\\}{2 - 4} = m

-6 - 5 = -11

2 - 4 = -2

m = \frac{11}{2}

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2 years ago
Two mechanics worked on a car. The first mechanic worked for
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Write a system of equations:

x + y = 125

20x + 15y = 2100

Solving:

x = 125 - y

20(125 - y) + 15y = 2100
2500 - 20y + 15y = 2100
2500 - 5y = 2100
-5y = 2100 - 2500
-5y = -400
y=80

x + 80 = 125
x = 125 - 80
x = 45

The first charges 45$ per hour and the second charges 80$ per hour
4 0
2 years ago
Point F is at (0, -10) and point H is at (-6, 5). Find the coordinates of point G on line segment FH such that the ratio of FG t
Tanya [424]

Answer:

G(x,y)=(-4,0)

Step-by-step explanation:

We use the section formula:

(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)

Given:

F(x_1,y_1)=(0, -10)\\H(x_2,y_2)=(-6, 5)\\FG:GH=m:n=2:1

We substitute the values to get:

G(x,y)=\left(\dfrac{2*-6+1*0}{2+1}, \dfrac{2*5+1*-10}{2+1}\right)\\=\left(\dfrac{-12}{3}, \dfrac{10-10}{3}\right)\\=\left(\dfrac{-12}{3}, \dfrac{0}{3}\right)\\\\G(x,y)=(-4,0)

5 0
3 years ago
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