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3 years ago

Find f (20) for f(n) = -2n +6

Mathematics

1 answer:

kiruha [24]3 years ago

3 0

Answer:

f(n) = -34

Step-by-step explanation:

n = 20

f(n) = -2(20) + 6

f(n)= -40 +6

f(n) = -34

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Identify an equation in point-slope form for the line parallel to y=-2/3x+8 that

UNO [17]

Answer:

$\large\boxed{y+5=\dfrac{2}{3}(x-4)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

Parallel lines have the same slope.

We have the equation in the slope-intercept form (y = mx + b)

$y=-\dfrac{2}{3}x+8\to m=\dfrac{2}{3}$

Put to the point-slope equation value of the slope and the coordinates of the point (4, -5):

$y-(-5)=\dfrac{2}{3}(x-4)\\\\y+5=\dfrac{2}{3}(x-4)$

7 0

3 years ago

Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a^2 – 18 square units. Which i

netineya [11]

we know that

The area of the hexagon is equal to the sum of the areas of the six equilateral triangles

Let

x-------> area of one equilateral triangle

$6x=24a^{2} -18$

Divide by $6$ both sides

$x=4a^{2} -3$ -------> area of one equilateral triangle

To find an equivalent expression for the area of the hexagon based on the area of a triangle, multiply the area of one equilateral triangle by $6$

$6*(4a^{2} -3)$

therefore

the answer is

The equivalent expression is equal to $6*(4a^{2} -3)$

6 0

3 years ago

Read 2 more answers

HELP PLEASE HURRY!!!!!!!!!!!!!

valentina_108 [34]

Answer:

i would say its b

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Someone PLEASEEEE HELPPPP

igomit [66]

Answer:

x = 18√3

Step-by-step explanation:

From the picture attached,

In a right triangle,

Measure of one angle = 30°

Measure of adjacent side of the angle = 9 units

We have to find the measure of Hypotenuse from the given properties.

By cosine rule,

cos(30°) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

$\frac{\sqrt{3}}{2} =\frac{9}{x}$

$x=18\sqrt{3}$

Therefore, measure of Hypotenuse is 18√3 units.

3 0

3 years ago

Which is an equation in slope intercept form of the line that passes through (1, 3) and (2, 4)?

Murrr4er [49]

Answer:

y = x + 2

Step-by-step explanation:

The slope-intercept equation is:

y = mx + b

First, you should use the point-slope formula to find the slope. Plug in the "x" and "y" values given from the points:

Point 1: (1,3) Point 2: (2,4)

y₁ - y₂ = m(x₁ - x₂) <--- Point-slope formula

(3 - 4) = m(1 - 2) <--- Plug in "x" and "y" values from points

-1 = -m <--- Simplify inside parentheses

1 = m <--- Divide both sides by -1

Finally, use one of the points to solve for the y-intercept (b):

Point 1: (1,3) m = 1

y = mx + b <--- Slope-intercept formula

3 = 1(1) + b <--- Plug in values from point and slope (m)

3 = 1 + b <--- Multiply slope and "x" value

2 = b <--- Subtract 1 from both sides

Since the slope = 1, it does not need to be included in the final formula. The final answer is:

y = x + 2

7 0

1 year ago