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PIT_PIT [208]
3 years ago
11

Write a two column proof. Given: 4y = 2x - 10; y = 6 Prove: x = 17

Mathematics
1 answer:
Ivenika [448]3 years ago
5 0

4y=2x-10

Plug in y

4(6)=2x-10

Simplify

24=2x-10

+10 to both sides

24+10=2x-10+10

Simplify

34=2x

÷2 both sides

17=x

x=17

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Can someone help me with this?
erik [133]

The equilibrium price is $12.

<h3>What is the equilibrium price ?</h3>

Equilibrium is the point where the quantity demanded is equal to the quantity supplied. The price at equilibrium is known as the equilibrium price and the quantity at equilibrium is known as the equilibrium quantity.

When shown on a graph, equilibrium is the point where the quantity demanded curve is equal to the quantity supplied curve.

When there is equilibrium, the equation of quantity demanded would be equal to the equation of quantity supplied.

-280 + 40p = 800  - 50p

In order to determine the value of p, take the following steps:

Combine similar terms: 800 + 280 = 40p + 50p

Add similar terms = 1080 = 90p

Divide both sides of the equation by 90 : 1080 / 90 = 12

To learn more about equilibrium, please check: brainly.com/question/26075805

#SPJ1

7 0
1 year ago
The cup, on the 9th hole of a golf course, is located, dead center, in the middle of a circular green, which is 35 feet in radiu
ale4655 [162]

Answer:

± 27.33 ft

Step-by-step explanation:

For the given problem, we can estimate the initial and final coordinates of the line of the ball path as (-40,-50) and (0,0). Therefore, the slope is:

(-50-0)/(-40-0) = 50/40 = 1.25

Similarly, we can estimate the slope of a perpendicular line to the line of the ball path as: -1*(1/1.25) = -0.8.

Therefore, using (0,0) and the slope -0.8, the equation of the perpendicular line is: -0.8 = (y-0)/(x-0);

-0.8 = y/x

y = -0.8x

Furthermore, we are given the circle radius as 35 ft and we can use the distance formula to find the two points 35 ft far from the origin:

35^2 = x^2 + y^2

y = -0.8x

35^2 = x^2 + (-0.8x)^2

1225 = (x^2 + 0.64x^2)

1225 = 1.64x^2

x^2 = 1225/1.64 = 746.95

x = sqrt(746.95) = ± 27.33 ft

5 0
3 years ago
Let a and b be non-zero integers
r-ruslan [8.4K]

Answer:

The correct answer is d

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
Question
maria [59]

Answer:

y = m x + b equation of a straight line

m m' = -1    condition for perpendicular lines

If y = 4 x - 7     then m = 4 so m' = -.25

Y = -.25 X + A      we need to find A

A = Y + .25 * 8 = 2 + 2 = 4

Y = -.25 X + 4

Check:

2 = -.25 * 8 + 4 = -2 + 4 = 2

3 0
2 years ago
Simplify: (7+2a)·3–20 =
Black_prince [1.1K]
<h2>Greetings!</h2>

Answer:

6a + 1

Step-by-step explanation:

First, you need to multiply everything in the brackets by 3L

(7 + 2a) x 3 =

7 * 3 = 21

2a *  3 = 6a

21 + 6a

Now you can subtract the 20 from this:

6a + 21 - 20

Simplified down:

6a + 1


<h2>Hope this helps!</h2>
6 0
2 years ago
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