A line passes through the points (-1, 10) and (3, 2). Which shows the graph of this line?8
8
4
2
- 108
2
46
8 10
X
12
-8
-10
10
6

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

EDGE 2021

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a rock is launched from a canon. it's height, h(x), can be represented by a quadratic function in terms of time, x, in seconds. After 1 second, the Rock is 58 ft in the air; after 2 seconds, it is 112 feet in the air. find the height, in feet, of the rock after 10 seconds in the air.

In a right triangle, if the length of the hypotenuse is 39 and the length of one of the other sides is 15, what is the length of the third side?

Answers

Answer:

either way the answer is be =36 so the length of the missing side is 36 CM.

Kate wants to build a fence around her garden to prevent her rabbits from eating her vegetables. The rabbit fencing costs $7.50 per metre. How much will it cost to enclose a square garden with an area of 144m^?

Answers

It will cost $360 to enclose a square garden.

We need to find the perimeter of the square to know the number of meter needed and multiply it to the unit cost of the fence to get the total cost.

Given:
fence = 7.50 per meter
Area of a square = 144 m²

Area of a square = s²
s = √144m²
s = 12m

Perimeter of a square = 12m x 4 sides = 48 meters.

48 meters x $7.50 = $360

amanda drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when amanda drove home, there was no traffic and the trip only took 5 hours. if her average rate was 18 miles per hour faster on the trip home, how far away does amanda live from the mountains?

Answers

The distance between the mountains and her residence is 315 miles.

What is speed?

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance traveled by time. The unit of speed in miles per hour.

Given that Amanda drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when Amanda drove home, there was no traffic and the trip only took 5 hours. if her average rate was 18 miles per hour faster on the trip home.

The distance will be calculated as,

Distance = S x 7

The other distance is,

Distance = 5 ( S + 18 )

7S = 5S + 90

S = 45 miles

Distance = 45 x 7

Distance = 315 miles

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90 miles away since you multiply 18 times 5 would equal 90 miles away.

Using the quadratic formula to solve 2x^2 = 4x – 7, what are the values of x?

Answers

For this case we have the following quadratic equation:

$2x ^ 2 = 4x - 7$

Rewriting the equation we have:

$2x ^ 2 - 4x + 7 = 0$

From here, we have:

$a=2 b = -4c = 7$

Substituting values in the quadratic equation we have:

$x = (-b+/-√(b^2-4ac))/(2a)$

$x = (-(-4)+/-√((-4)^2-4(2)(7)))/(2(2))$

Rewriting the equation we have:

$x = (4+/-√(16-56))/(4)$

$x = (4+/-√(-40))/(4)$

$x = (4+/-√(-4*10))/(4)$

$x = (4+/-2i√(*10))/(4)$

$x = (2+/-i√(*10))/(2)$

Answer:

The values of x are given by:

$x = (2+i√(*10))/(2)$

$x = (2-i√(*10))/(2)$

Answer:

Is C.

Ccccccccccccccc

A vegetable garden with an area of 200 square feet is to be fertilized. If the length of the garden is 1 foot less than three times the width, find the dimensions of the garden. Please show work.

Answers

Answer:

Dimensions of the garden are 24 feet by 8.33 feet.

Step-by-step explanation:

Let the dimensions of the vegetable garden is length = l and width = w foot

Area of the vegetable garden = 200 square feet

Since length of the garden is 1 foot less than the 3 times the width.

l = 3w - 1

Area of the garden = w × l = 200

w(3w - 1) = 200

3w² - w = 200

3w² - w - 200 = 0

By quadratic formula

w = $\frac{1\pm \sqrt{1^(2)+2400}}{6}$

= $(1\pm √(2401))/(6)$

= $(1\pm 49)/(6)$

w = -8 or 8.33 foot

Since dimensions can not be negative therefore, width of the garden will be 8.33 foot

Since l = 3w - 1

= 3×8.33 - 1

= 25 - 1

= 24

Dimensions of the garden are 24 feet by 8.33 feet

Ok so I like to go in steps with these questions- first draw a picture and identify your variables.

W=width
L= 3w-1

Now we know that length times width gets us area so we plug in our variables into the area equation.

200 = w(3w-1)

When you foil that equation you end up with a quadratic : 3w^2-w-200 = 0

Either factor that or use the quadratic formula to get
w= 8.33 and w= -8

Since you can't have a negative dimension you need to use 8.33 and plug it back into your length equation.

Final answer:

w= 8.33ft
l= 23.99ft

*Now I simplified the decimals a little bit so you end up with 199.8ft^2 for the area so just add a few decimals on here and there*

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