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Lelechka [254]
3 years ago
11

Below are two different functions, f(x) and g(x). What can be determined about their slopes?

Mathematics
2 answers:
kondor19780726 [428]3 years ago
6 0
I believe the correct answer from the choices listed above is the third option. From the given f(x) and g(x), we can say that both of the functions has the same slope which is three.

Hope this answers the question. Have a nice day.
Tatiana [17]3 years ago
3 0
They have the same slope. The slope of f(x) is 3 because it is the m in f(x)=mx+b. In the graph of g(x), the slope can be found by change in y divided by change in x, or rise over run. Between x=0 and x=1, the y value increases by three, from 2 to 5. The slope of g(x) is 3/1=1.
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Find the slope of a line perpendicular to a line through the given points.<br><br> E(5, 7), F(3, 1)
lisabon 2012 [21]
The slope of a line going through points (5,7) and (3,1) is 6/2 so 3/1 = slope of 3
8 0
3 years ago
The height (in feet) of punted football is a function of the time the ball is in the air. The function is defined by h(t) = - 7t
Kamila [148]

Answer:

The height of the football after 4 seconds is 80 feet.

Step-by-step explanation:

You know that the height (in feet) of punted football is a function of the time the ball is in the air and it is defined by:

h(t) = -7*t²+48*t

To calculate the height of the ball after 4 seconds, you must replace the time t by the time of 4 seconds:

h(4) = -7*4²+48*4

Solving, you get:

h(4) = -7*16+48*4

h(4) = -112+192

h(4)= 80

<u><em>The height of the football after 4 seconds is 80 feet.</em></u>

8 0
3 years ago
Angle 3 is a supplement of angle 4. If the m of angle 3 is 100 degrees, what is the m of angle 4?
Triss [41]

Answer: 80

Step-by-step explanation: Supplements mean they add up to 180. is m of 3 is 100, then m of 4 must be 80 to add up to 180. Hope this helps!

7 0
3 years ago
How to cross multiple 3/5 by 10
postnew [5]

3/5 by 10  = 6

\frac{3}{5} *10 = 6

6 0
3 years ago
A rectangular parcel of land has an area of 6,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o
Drupady [299]

Answer:

50ft by 120ft

Step-by-step explanation:

Area of a rectangle = L × W

6000ft² = L × W

L = 6000/W

When a diagonal line divides a rectangle into 2 right angled triangles, the diagonal line = Hypotenuse of either of the triangle and it is the longest side.

The formula for a right angle triangle =

a² + b² = c²( c = hypotenuse)

We are told in the question that:

A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel

Let us assume the side that the hypotenuse is longer than = Width

Hence, the Diagonal = (W + 10)²

Therefore

L² + W² = (W + 10)²

Since L = 6000/W

W² + (6000/W)² = (W + 10)²

W² + (6000/W)² = (W + 10) (W + 10)

W² + (6000/W)² = W² + 10W + 10W + 100

W² + (6000/W)² = W² + 20W + 100

W² - W² + (6000/W)² = 20W+ 100

6000²/W² = 20W + 100

6000² = W²( 20W + 100)

6000² = 20W³ + 100W²

20W³ + 100W² - 6000² = 0

20W³ + 100W² - 36000000 = 0

20(W³ + 5W² - 1800000) = 0

Factorising the quadratic equation,

20(W − 120)(W² + 125W + 15000) = 0

W - 120 = 0

W = 120

Therefore,

W(Width) = 120feet

Since the Width = 120 feet

We can find the length

6000ft² = L × W

L = 6000/W

L = 6000/120

L = 50 feet

The dimensions of the land, correct to the nearest foot is 50ft by 120ft

3 0
3 years ago
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