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3 years ago

Please help! Evaluate the following function. f(x) = -x – 8 for f(-1)

Mathematics

1 answer:

Anton [14]3 years ago

4 0

Answer:

x - 8

Step-by-step explanation:

Plug in -1 for x and you get x - 8

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Find the area. 5cm 3cm 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

Replacing a, b, and c as the given side lengths:

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

Determining the perimeter of the triangle:

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

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

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

Determining the half of perimeter:

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

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

$\implies s = 6$

Replacing the value of "s" in the formula:

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

Evaluating the area:

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

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

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

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

6 0

1 year ago

Determine the period.

maks197457 [2]

3

The period is the amount it time it takes to make one complete cycle. If we start at 0 for simplicity sake, the graph is at its maximum point. It reaches its maximum point again at 3, this is one complete cycle and thus the period is 3.

5 0

1 year ago

718.012 in expanded form and written form

Temka [501]

Answer:

y=718.012

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Solve Systems by Substitution 2x+5y=-3 x+8y=4 and 2x+y=7 x-2y=-14

ASHA 777 [7]

2x + 5y = -3 ⇒ 2x + 5y = -3
1x + 8y = 4 ⇒ 2x + 16y = 8
 -11y = -11 
 -11 -11
 y = 1
 2x + 5(1) = -3
 2x + 5 = -3
 -5 -5
 2x = -8
 2 2
 x = -4
 (x, y) = (-4, 1)

2x + 1y = 7 ⇒ 2x + 1y = 7
1x - 2y = -14 ⇒ 2x - 4y = -28
 5y = 35
 5 5
 y = 7
 2x + 7 = 7
 -7 -7
 2x = 0
 2 2
 x = 0
 (x, y) = (0, 7)

4 0

3 years ago

What is the Median of the Data Set: 2 1/2, 4 1/2, 1 3/4, 1 1/4, 2 1/2

Dominik [7]

Answer:

The median is 2 $\frac{1}{2}$

Step-by-step explanation:

All you had to do was line them up from lowest to highest.

5 0

3 years ago