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3 years ago

What is the slope of the line that passes through the points (-10, -8) and

Mathematics

1 answer:

mixer [17]3 years ago

8 0

Answer:

gradient=change in y/change in x

=y2-y1/x2-x1

=-8-(-16)/-10-(-8)

=8/-2

=-4

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Translate the sentence into an equation. Twice the difference of a number and 4 is 9. Use the variable y for the unknown number.

gulaghasi [49]

Answer:

2x-4=9

Step-by-step explanation:

2x-4=9

2x=y

2x=13

6 0

3 years ago

If P(x,y) is the point on the unit circle defined by real number e, then csce =

olasank [31]

Answer:

$csc(e) = \frac{1}{y}$

Step-by-step explanation:

It is given that the point P(x, y) lies on the unit circle and is defined by real number e. We have to find csc(e) i.e cosecant of (e)

This scenario is represented in the figure attached below.

The formula of csc is:

$csc(\theta) = \frac{\text{Hypotenuse}}{\text{Opposite}}$

A right angled triangle is constructed, as shown in figure. The hypotenuse of the triangle forms the radius of the circle. Since, the circle is a unit circle the length of hypotenuse would be equal to 1.

Hypotenuse = 1

So, the formula of csc would be reduced to:

$csc(e) = \frac{1}{\text{Opposite}}$

The side opposite to the angle made at origin is y. So,

$csc(e) = \frac{1}{y}$

6 0

3 years ago

Read 2 more answers

If the sine of an acute angle is 3/5, what is the cosine of that angle?

Korvikt [17]

Answer:

The cosine of the angle is 4/5.

Step-by-step explanation:

An acute angle is between 0º and 90º, in the first quadrant of the trigonometric circle, in which both the sine and the cosine are positive values.

For each angle $\alpha$ , we have that:

$\sin^{2}{\alpha} + \cos^{2}{\alpha} = 1$

We have that:

$\sin{\alpha} = \frac{3}{5}$

$\sin^{2}{\alpha} + \cos^{2}{\alpha} = 1$

$(\frac{3}{5})^{2} + \cos^{2}{\alpha} = 1$

$\cos^{2}{\alpha} = \frac{16}{25}$

$\cos{\alpha} = \frac{4}{5}$

The cosine of the angle is 4/5.

8 0

3 years ago

What number is 7 units to the left of -1? 8 6 -8 -6

Viefleur [7K]

Answer:

7 units to the left is -6

Step-by-step explanation:

your counting back wards but its not a neg. its positive so the answer is 6

4 0

3 years ago

Choose the symbol that correctly compares the fractions below. 8/9 ? 1/9

gladu [14]

Answer:

Which means that this equation is also true: 8/9 > 1/9

Step-by-step explanation:

Is 8/9 less than 1/9? Is 8/9 smaller than 1/9? These are the same questions with one answer.

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

8/9 = 0.889

1/9 = 0.111

Then, we compare the two decimal numbers to get the answer.

0.889 is not less than 0.111.

Therefore, 8/9 is not less than 1/9 and the answer to the question "Is 8/9 less than 1/9?" is no.

5 0

3 years ago