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2 years ago

Write an equation and state the slope for the line that passes through (9,22) and (15,36).

Mathematics

1 answer:

Andreas93 [3]2 years ago

8 0

Answer:

Slope = 2.3 or 2

Step-by-step explanation:

First, to find the slope of the given coordinates (9,22) and (15,36), we must establish what will be our starting and endpoint.

Let's have (9,22) be our starting point.

And (15,36) be our endpoint.

First, what is the change in x?

The change in x is 6, because 9 + 6 = 15. (Δx = 6)

Second, what is the change in y?

The change in y is 14, because 22 + 14 = 36. (Δy = 14)

Now we can find the slope by dividing the change in y over the change in x or Δy/Δx:

$\frac{14}{6}$ = 2.3 or 2

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What is the value of the expression below.4/5+3/5+3.5×5

Solnce55 [7]

Answer:

18.9

Step-by-step explanation:

4/5 + 3/5 + 3.5 * 5

Well using PEMDAS you would need to do 3.5 x 5 which is 17.5

After that you would to 4/5 + 3/5 which is 7/5 also as 1 2/5

Then you would do 7/5 + 17.5 = 18.9

I might be wrong but that is what I got and I hope it helps you :)

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3 years ago

Factor 2x2 - 13x - 70

sladkih [1.3K]

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3 years ago

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Which proportion can you use to find the value of a?

Ugo [173]

Given:

The given triangle is a similar triangle.

The length of the hypotenuse is 18 units.

The length of the leg is a.

The length of the part of the hypotenuse is 16 units.

We need to determine the proportion used to find the value of a.

Proportion to find the value of a:

We shall find the proportion to determine the value of a using the geometric mean leg rule.

Applying the leg rule, we have;

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

Substituting the values of hypotenuse, leg and part, we get;

$\frac{18}{a}=\frac{a}{16}$

Thus, the proportion used to find the value of a is $\frac{18}{a}=\frac{a}{16}$

Hence, Option D is the correct answer.

6 0

3 years ago

Find the area of the largest rectangle (with sides parallel to the coordinate axes) that can be inscribed in the region enclosed

garik1379 [7]

F(x) = 18-x^2 is a parabola having vertex at (0, 18) and opening downwards.
g(x) = 2x^2-9 is a parabola having vertex at (0, -9) and opening upwards.
By symmetry, let the x-coordinates of the vertices of rectangle be x and -x => its width is 2x.
Height of the rectangle is y1 + y2, where y1 is the y-coordinate of the vertex on the parabola f and y2 is that of g.
=> Area, A
= 2x (y1 - y2)
= 2x (18 - x^2 - 2x^2 + 9)
= 2x (27 - 3x^2)
= 54x - 6x^3
For area to be maximum, dA/dx = 0 and d²A/dx² < 0
=> 54 - 18x^2 = 0
=> x = √3 (note: x = - √3 gives the x-coordinate of vertex in second and third quadrants)

d²A/dx² = - 36x < 0 for x = √3
=> maximum area
= 54(√3) - 6(√3)^3
= 54√3 - 18√3
= 36√3.

4 0

3 years ago

Combine like radicals to get your answer. image attached

spin [16.1K]

Answer:

So the final answer is

$-8\sqrt{3}$

Step-by-step explanation:

Radicals:

In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.

The given expression is

$-5\sqrt{3} -3\sqrt{3}$

Now take common radical out so we will get

$\sqrt{3}(-5-3)$

Now add the Parenthesis part.

$\sqrt{3}(-8)$

So the final answer is

$-8\sqrt{3}$

5 0

3 years ago