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FrozenT [24]
2 years ago
13

Select all of the following that are quadratic equations.

Mathematics
1 answer:
goldenfox [79]2 years ago
8 0

Answer:

1. x² + 3x - 5 = 0

2. x² - x = 3 x + 7

4. 7x² + 14x = 0

Step-by-step explanation:

A Quadratic equation takes the form;

ax² + bx + c = 0

a, b, c are constants and a cannot be 0.

Options 1 fits this;

x² + 3x - 5 = 0

Option 2 fits this as well;

x² - x = 3 x + 7  

x² -x - 3x - 7 = 0

x² - 4x - 7 = 0

Option 4 fits this as well if c = 0.

7x² + 14x + 0 = 0

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What is formed when two complementary angles share one ray?
aleksklad [387]

Answer:

B.

the complementary angles form a right angle with the shared ray

5 0
2 years ago
Solve 20x+ 5y = 15 for y.
Nesterboy [21]

20x+ 5y = 15

Move 20x to the other side. Sign changes from +20x to -20x

20x-20x+5y=-20x+15

5y=-20x+15

Divide both sides by 5

5y/5=y ( Cross out 5 and 5, divide by 5, 1*1*y=y)

-20/5=-4x

15/5=3

y=-4x+3 or y=3-4x

Answer: y=-4x+3 or y=3-4x

5 0
3 years ago
A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the poli
pishuonlain [190]

Complete question:

A police car is located 50 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road.

Answer:

The red car is traveling along the road at 80.356 ft/s

Step-by-step explanation:

Given

Police car is 50 feet side off the road

Red car is 130 feet up the road

Distance between them is decreasing at the rate of 75 feet per sec

Let x be how far the police is off the road.

Let y be how far the red car is up the road.  

Let h be the distance between the police and the red car.

This forms a right triangle so we can use the Pythagorean theorem, to solve for h

h² = x² + y²

h² = 50² + 130²

h² = 19400

h = √19400

h = 139.284 ft

Again;

Let dx/dt be how fast the police is traveling toward the road.

Let dy/dt  be how fast the red car is traveling along the road.

Let dh/dt be how fast the distance between the police and the car is decreasing.

Recall that, h² = x² + y² (now differentiate with respect to time, t)

2h(dh/dt) = 2x(dx/dt) + 2y(dy/dt)

divide through by 2

h(dh/dt) = x(dx/dt) + y(dy/dt)

since the police car is not, dx/dt = 0

and dy/dt is the how fast is the red car actually traveling along the road

139.284(75) = 50(0) + 130(dy/dt)

10446.3 = 0 + 130(dy/dt)

dy/dt = 10446.3 / 130

dy/dt = 80.356 ft/s

Therefore, the red car is traveling along the road at 80.356 ft/s

6 0
3 years ago
Please help me out! I keep getting the wrong answer
Tamiku [17]

The total amount of people who ordered a large is 5 + 12 + 8 = 25 people.

The amount of customers who bought a large cold drink is 5.

The probability that someone bought a large cold drink is 5 out of 25 people.

This is 5/25 which is 1/5 which is .2

Convert the decimal to a fraction by multiplying by 100 and adding a percent sign at the end.

.2 x 100 = 20%

Edit:

The probability was supposed to be if the customer ordered a cold drink based on people who ordered large.

The amount of people who ordered a large drink is 22 + 5 = 27.

The amount of people who ordered a cold large is 5.

To find the percent, divide the people who ordered cold large by the total people who ordered large.

This would be 5/27 which in decimal form is .185185

To convert to a percent, multiply by 100 and add a percent sign after it.

.185185 x 100 = 18.5185%

The question says to round to the nearest percent so your answer is:

19%

6 0
3 years ago
Simplify the following <br> (-4r^5)(2r^8)
jolli1 [7]
Multiplying a - and a + equals a - , -8r18
8 0
2 years ago
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