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2 years ago

Write an equation of the line that passes through the point (-6, -9) with slope-5.

Mathematics

1 answer:

Art [367]2 years ago

3 0

Answer:

$y+9=-5(x+6)$

Step-by-step explanation:

We are being asked to write the equation in point-slope form:

$y-y_1=m(x-x_1)$ where m = slope and the first point = $(x_1,y_1)$

In this case, the slope is -5 and the point is $(-6,-9)$ so the equation will be:

$y+9=-5(x+6)$

Want to learn more about point-slope form? Check the link out:

https://www.albert.io/blog/point-slope-form/#What_is_point_slope_form

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The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes: Graph titl

Degger [83]

Answer:

The initial value is 3

It represents the distance between the bird and its nest before any elapsed time which is 3 miles.

Step-by-step explanation:

The graph is shown in the attached image.

The general form of a straight line is:

y = mx + c

where:

m is the slope and c is the y-intercept.

The y-intercept is also known as the initial value. It is the value of y at x=0.

From the givens, we can note that at x = 0, the y-value is 3. This means that the y-intercept is 3.

Now, in the problem, x represents the time in minutes while y represents the distance of the bird from the nest in miles.

At x = 0, meaning before any time elapsed, the distance of the bird from its nest was 3 miles.

Hope this helps :)

4 0

2 years ago

Read 2 more answers

How far will a train travel in 5hours if it travels at 80ml per hour

Aleks [24]

Answer:

If the ml means miles than its 400

Step-by-step explanation:

3 0

2 years ago

The variable z is inversely proportional to x. When x is 19, z has the value 0.10526315789474. What is the value of z when x= 28

telo118 [61]

When two variables are inversely proportional the relation between them can be written as:

$z=\frac{k}{x}$

Here, k is the constant of proportionality and is always equal to the product of the two variables. So using the given values of z and x, we can find k first.

$k=zx\\ \\ k=0.10526315789474(19)\\ \\ k=2$

The constant of proportionality for the given inverse proportion comes out to be 2. Using the value of k in the equation, we get:

$z=\frac{2}{x}$

We have to find the value of z when x=28. So replacing x by 28, we get:

$z=\frac{2}{28}\\ \\ z=0.07142857143$

Thus, rounding of to nearest thousand the value of z comes out to be 0.071 if x is equal to 28.

6 0

3 years ago

Subtract 5x - 2 from -3x +4

Solnce55 [7]

Answer:

8x+2

Step-by-step explanation:

Or -8x+2 but i think its 8x+2

4 0

2 years ago

What can this simplify to?

Mkey [24]

→ Chapter : Exponentiation ←
≡ We know that:
⇔ $\frac{a^{x}}{a^{y}}=a^{(x-y)}$
⇔ $\frac{1}{a^{-b}}=a^{b}$

≡ Solution:
⇒ $\frac{4^{2}g^{3}p^{-2}}{4^{5}g^{12}m^{-5}}$
⇒ $[4^{(2-5)}].[g^{(3-12)}].[p^{-2}].[m^{5}]$
⇒ $[4^{-3}].[g^{-9}].[p^{-2}].[m^{5}]$
∴ $\boxed{\frac{1}{64}g^{-9}p^{-2}m^{5}}$ or $\boxed{\frac{m^{5}}{64g^{9}p^{2}}}$

7 0

3 years ago