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1 year ago

the form y=axPlot five points on the graph of the function: one point with x=graph-a-function button.10130141

Mathematics

1 answer:

kifflom [539]1 year ago

4 0

At first let us choose the 5 points

at x = 0, y = 0

The first point is (0, 0)

$y=ax^3$

We will choose a = 1/2

The points are

(-2, -4)

(-1, -1/2)

(0, 0)

(1, 1/2)

(2, 4)

$y=\frac{1}{2}^{}x^3$

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Find the value of x. F) 6m G) 7.5m H) 15m I) 21m

Xelga [282]

Answer:

x = 6 m

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = $\frac{1}{2}$ h (a + b)

where h is the perpendicular height and a, b the parallel bases

Here A = 60, h = 8, a = 9 and b = x , thus

$\frac{1}{2}$ × 8 × (9 + x) = 60, that is

4(9 + x) = 60 ( divide both sides by 4 )

9 + x = 15 ( subtract 9 from both sides )

x = 6 m

7 0

2 years ago

What is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)?x = –5x = 4y = –5y = 4

Rainbow [258]

x = -5 is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)

Solution:

Given that, we have to write the equation of line that is parallel to line x = -2 and passes through point (-5, 4)

From given,

The equation of the line in standard form is x = -2

This is a vertical line, so the parallel line will also be a vertical line of the form:

x = a

Since we are given that the line should pass through the point (-5, 4) then the equation of the line is:

x = -5

Thus the equation of line is found

3 0

2 years ago

Read 2 more answers

What is 8/32 times 14/21?

ki77a [65]

(3)14. 32 ×21 = 96
8. 32
__. 64
112

112/96 <--the original answer
56/48
28/24
14/12
7/6 <--simplified answer

7 0

2 years ago

What is the greatest common factor of 22 and 2?

Snowcat [4.5K]

Answer:

Step-by-step explanation:

2 is 2.

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The GCF is 2.

6 0

2 years ago

A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?

cupoosta [38]

Answer:

$\displaystyle y=-\frac{1}{2}x+1$

Step-by-step explanation:

The equation of any line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Two points are given: (-6,4) and (-2,2). Calculating the slope:

$\displaystyle m=\frac{2-4}{-2+6}=\frac{-2}{4}=-\frac{1}{2}$

The equation of the line is, so far:

$\displaystyle y=-\frac{1}{2}x+b$

To calculate the value of b, we use any of the given points, for example (-6,4):

$\displaystyle 4=-\frac{1}{2}(-6)+b$

$\displaystyle 4=3+b$

Solving:

b = 1

The equation of the line is:

$\boxed{\displaystyle y=-\frac{1}{2}x+1}$

We can see none of the choices is correct.

8 0

2 years ago