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3 years ago

What is the slope of the line passing through the points (2, 5) and (0, −4)?

1 answer:

7 0

Plug the two points into the slope formula.

m = y2-y1/x2-x1

m = (-4 - 5)/(0 - 2)

m = -9/-2

m = 4.5

So the slope is 4.5

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Which of the following is the equation for the graph shown?a. x^2/144+y^2/95=1b. x^2/144-y^2/95=1c. x^2/95+y^2/144=1d. x^2/95-y^

Andrews [41]

e follSOLUTION

Given the question in the image, the following are the solution steps to answer the question

STEP 1: Write the general equation of an ellipse

$\frac{\mleft(x-h\mright)^2}{a^2}+\frac{(y-h)^2}{b^2^{}}=1$

STEP 2: Identify the parameters

the length of the major axis is 2a

the length of the minor axis is 2b

$\begin{gathered} 2a=24,a=\frac{24}{2}=12 \\ 2b=20,b=\frac{20}{2}=10 \end{gathered}$

STEP 3: Get the equation of the ellipse

$\begin{gathered} By\text{ substitution,} \\ \frac{(x-h)^2}{a^2}+\frac{(y-h)^2}{b^2}=1 \\ \frac{(x-0)^2}{12^2}+\frac{(y-0)^2}{10^2}=1=\frac{x^2}{144}+\frac{y^2}{100}=1 \end{gathered}$

STEP 4: Pick the nearest equation from the options,

Hence, the equation of the ellipse in the image is given as:

$\frac{x^2}{144}+\frac{y^2}{95}=1$

OPTION A

8 0

1 year ago

A surf instructor has an initial fee of $12 and charges $8 per hour for lessons,

professor190 [17]

Answer:

I am stuck on that question tooo

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

In a bag of marbles, 10 are blue, 30 are yellow, 20 are red, and 40 are green.AN marbles is taken from the bag without looking.

antoniya [11.8K]

Answer:

see below

Step-by-step explanation:

10 are blue, 30 are yellow, 20 are red, and 40 are green.

There are 100 marbles in the bag

The color that has the most marbles is green

P( green) = 40/100 = 40%

P( yellow) = 30/100 = 30%

P( red) = 20/100 = 20%

P( blue) = 10/100 = 10%

You will be more likely to pick a green marble

5 0

3 years ago

Find x.<br> to<br> 150 <br> X =<br> Alternate interior angles

eimsori [14]

Answer: 75 degrees

Step-by-step explanation: supplementary angles= 180 degrees, 180 - 115 = 75

3 0

2 years ago

If a and b are real numbers and if y = ax + b is a direct variation equation, what do you know about a and b?

Alenkasestr [34]

y = ax + b
We observe that the given equation is the generic equation of a line.
Where,
a = represents the slope of the line. That is, the rate of change of the given function. (in this case it is constant).
b = is the cut point with the y axis.

8 0

3 years ago