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KatRina [158]
3 years ago
8

Which is the graph of the linear function that is represented by the equation Y = 5 X-22

Mathematics
1 answer:
Ronch [10]3 years ago
7 0

110

Step-by-step explanation:

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Find the area.<br> 5cm<br> 3cm<br> 4 cm
Ostrovityanka [42]

Answer:

6 cm²

Step-by-step explanation:

Since 3 side lengths are given, I assume that this figure is a triangle. The area of a triangle can be determined by using hero's formula.

\text{Area of triangle} = \sqrt{\text{s(s - a)(s - b)(s - c)}

⇒ s = Perimeter/2

⇒ a, b, and c = side lenths of triangle

<u>Replacing a, b, and c as the given side lengths:</u>

\implies \text{Area of triangle} = \sqrt{\text{s(s - 5)(s - 3)(s - 4)}

<u>Determining the perimeter of the triangle:</u>

\text{Perimeter of triangle = Sum of it's side lengths}

\implies \text{Perimeter of triangle =}\ 5 + 4 + 3

\implies \text{Perimeter of triangle =}\ 12 \ \text{cm}

<u>Determining the half of perimeter:</u>

\text{Half of perimeter} = s = \dfrac{\text{Perimeter}}{2}

\implies s = \dfrac{12}{2}

\implies s = 6

<u>Replacing the value of "s" in the formula:</u>

\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}

<u>Evaluating the area:</u>

\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}

\implies \text{Area of triangle} = \sqrt{\text{6(1)(3)(2)}

\implies \text{Area of triangle} = \sqrt{\text{6(6)}

\implies \text{Area of triangle} = 6 \ \text{cm}^{2}

6 0
1 year ago
Which graph represents y=³√x ?
QveST [7]

Answer:

1 / (3 - √x³)

Step-by-step explanation:

∛x = x^1/3

^1/3 means the exponent is 1/3

then the derivative is:

d/dx ∛x = d/dx x~1/3 = 1/3*x~(1/3 - 1) = 1/3 x~-2/3 = 1/3 * (1/√x³)

= 1 / (3*√x³)

Hope it helps.

4 0
1 year ago
Find the solution of this system of equations 5x - 6y =-90 -10x - 6y =-90
ExtremeBDS [4]

5x - 6y = -90

-10 x - 6y = -90

Subtracting,

15x = 0

x = 0

y = -90/(-6) = 15

Answer: x=0, y=15


8 0
3 years ago
The position s(t) of a robot moving along a track at time t is given by s(t)=9t^2−90t+4.
Xelga [282]

The total distance traveled by the robot from t=0 to t=9 is 1422 units

Integration is a way in which smaller components are brought together in pieces to form a whole. Integration can be used in finding areas, volumes and so on.

Given that the position s(t) at any time t is given by the function:

s(t)=9t²−90t+4

The total distance traveled by the robot from t=0 to t=9 can be gotten by integrating the position function within the limits 0< t < 9

Therefore:

Total\ distance = \int\limits^9_0 {s(t) \, dt \\\\Total\ distance = \int\limits^9_0 {(9t^2-90t+4) \, dt\\\\Total\ distance = [3t^3-45t+4t]_0^9\\\\Total\ distance=-1422\ units

The total distance is 1422 units

Find out more at: brainly.com/question/22008756

7 0
2 years ago
8° below zero in the winter ​
Sergio039 [100]

Answer:

negative

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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