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GenaCL600 [577]
3 years ago
15

What is the value of x

Mathematics
1 answer:
irga5000 [103]3 years ago
3 0

Answer:

X=24

Step-by-step explanation:

1. (4x + 11) + (3x + 1) = 180 (Combine like terms)

2. 7x + 12 = 180 (Subtract 12 from both sides)

3. 7x = 168 (Divide both sides by 7)

4. x = 24

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Which of the following coordinate planes shows the graph of the function y-3=-2(x+2)?
Ugo [173]

Answer:

-5=x

Step-by-step explanation:

3=-2 (x+2)

-2 (x+2) = -2x-4

3=-2x-4

-4 from 3 and -4

= -7=-2x

do the opposite "-2 to +2 "

=-5=x

8 0
3 years ago
X/19 = 4 <br> what is x please help i don`t under stand this equation <br> p.s. xover 19 =4
ivann1987 [24]
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2 years ago
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Answer:

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Explanation:

8 0
2 years ago
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A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
forsale [732]

Answer:

11 meters

Step-by-step explanation:

First, we can say that the square has a side length of x. The perimeter of the square is 4x, and that is how much wire goes into the square. To maximize the area, we should use all the wire possible, so the remaining wire goes into the triangle, or (11-4x).

The area of the square is x², and the area of an equilateral triangle with side length a is (√3/4)a². Next, 11-4x is equal to the perimeter of the triangle, and since it is equilateral, each side has (11-4x)/3 length. Plugging that in for a, we get the area of the equilateral triangle is

(√3/4)((11-4x)/3)²

= (√3/4)(11/3 - 4x/3)²

= (√3/4)(121/9  - 88x/9 + 16x²/9)

= (16√3/36)x² - (88√3/36)x + (121√3/36)

The total area is then

(16√3/36)x² - (88√3/36)x + (121√3/36) + x²

= (16√3/36 + 1)x² -  (88√3/36)x + (121√3/36)

Because the coefficient for x² is positive, the parabola would open up and the derivative of the parabola would be the local minimum. Therefore, to find the maximum area, we need to go to the absolute minimum/maximum points of x (x=0 or x=2.75)

When x=0, each side of the triangle is 11/3 meters long and its area is

(√3/4)a² ≈ 5.82

When x=2.75, each side of the square is 2.75 meters long and its area is

2.75² = 7.5625

Therefore, a maximum is reached when x=2.75, or the wire used for the square is 2.75 * 4 = 11 meters

3 0
3 years ago
What are the x and y -intercepts for the equation 5x - 4y = 10
balu736 [363]

Answer:

x=2

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Step-by-step explanation:

x int

1.) set y to 0 (5x -4(0)=10

solve for 5x=10

y int

1.) set x to 0

solve for -4y=10

4 0
2 years ago
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