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Natali5045456 [20]
3 years ago
13

2/3 a -1/6=1/3 Solve the equation

Mathematics
1 answer:
Taya2010 [7]3 years ago
3 0

Step-by-step explanation:

a=3/4

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The hypotenuse of the right triangle is 5y inches long. The lengths of the legs are x + 8 and x + 3 inches. If the perimeter of
Zolol [24]

Answer: 35 inches.

Step-by-step explanation:

We know that:

hypotenuse = 5*y in

cathetus 1 = (x + 8) in

cathetus 2 = (x + 3) in

The perimeter of the triangle is 76 inches, then:

5*y + (x + 8) + (x + 3) = 76

5*y + 2*x + 13 = 76

We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.

The shorter leg is x + 3, then:

5*y - (x + 3) = 17

Then we have the equations:

5*y + 2*x + 11 = 76

5*y - (x + 3) = 17

With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.

x = 5*y  - 3 - 17 = 5*y - 20

x = 5*y - 20

Now we can replace this in the other equation, we get:

5*y + 2*x + 11 = 76

5*y + 2*(5*y - 20) + 11 = 76

15*y - 40 + 13 = 76

15*y - 29 = 76

15*y = 76 + 29 = 105

and remember that the hypotenuse is equal to 5*y, then we want to get:

3*(5*y) = 105

5*y = 105/3 = 35

5*y = 35

Then te length of the hypotenuse is 35 inches.

6 0
3 years ago
Use the graph to write a linear function that relates y to x .
sergiy2304 [10]

Answer:

2y = x + 2

Step-by-step explanation:

Looking at the graph, we can see from one point to the next (from right to left), the x-value rises by 2 and the y-value by 1;

From this we can work out the gradient between two points using the formula, i.e. the change/difference in y divided by the change/difference in x:

m = \frac{dy}{dx} = \frac{1}{2}

Joining the points gives a straight line, which means a constant gradient of ¹/₂

Use the line equation formula to get the function:

y - y₁ = m(x - x₁)

m = ¹/₂

x₁ = 0

y₁ = 1

y - 1 = ¹/₂.(x - 0)

y - 1 = ¹/₂.x

2y - 2 = x

2y = x + 2

8 0
3 years ago
The graph shows the percent y, of an initial dose of medicine remaining in a patient’s blood stream after X hours. Which functio
user100 [1]

Answer:

An exponential

Step-by-step explanation:

The second one is ratio

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3 years ago
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A girl always keep her laptop at right angle, if we make a triangle by keeping one paper on laptop. one angle formed is 60. what
slega [8]
30 because the angles of the triangle should be 180. Since we know one is 90 the other is 60 so 180-(90+60)=30
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3 years ago
Cuanto es 8x3 cuarto
katrin [286]
Es 24! Porque 8+8 es 16+8 es 24
6 0
2 years ago
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