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4 years ago

The area of a right triangle with one long leg measuring 5ft and hypotenuse measuring 13ft is..?

Mathematics

1 answer:

Yuliya22 [10]4 years ago

4 0

Answer:

30 square feet

Step-by-step explanation:

To find the area of a right triangle you use the formula (leg x leg)/2. So to find the area, first you need to have both of the leg measurements, so you need to use Pythagorean's theorem. After using the theorem, you get 12 feet for the measurement of the other leg, so you multiply 12 by 5. 12 times 5 is 60, so you divide that by 2 (as seen in the original formula) and get your answer of 30.

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I NEED HELP! Write an equation in standard form of the line

nadezda [96]

Answers:

First box = 1
Second box = -5
Third box = -15

This forms the equation 1x-5y = -15, which is the same as x-5y = -15

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Explanation:

Let's find the slope. I'll pick the first two rows to form the two points needed

(x1,y1) = (0,3)

(x2,y2) = (10,5)

These are then plugged into the slope formula.

m = slope

m = (y2-y1)/(x2-x1)

m = (5-3)/(10-0)

m = 2/10

m = 1/5

m = 0.2

The y intercept is b = 3 since this is the y value when x = 0.

With m = 0.2 and b = 3, we go from y = mx+b to y = 0.2x+3

Let's multiply both sides by 5 to turn that decimal value into a whole number. I'm picking 5 since 0.2 = 1/5

So we get

y = 0.2x+3

5y = 5*(0.2x+3)

5y = 5*0.2x+5*3

5y = x+15

Now let's get x and y together, but move that 15 to its own side

5y = x+15

x+15 = 5y

x = 5y-15

x-5y = -15

This is one way to write the equation in standard form.

Standard form is Ax+By = C, where A,B,C are integers. Some math textbooks insist that A > 0. In this case, A = 1, B = -5, and C = -15.

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As a way to check, we can plug in (x,y) = (15,6) from the third row of the table to see that..

x-5y = -15

15-5(6) = -15

15 - 30 = -15

-15 = -15

This verifies the third row. I'll let you check the first two rows of the table to fully confirm this equation works.

8 0

3 years ago

Which statement is true regarding the graphed functions?

mrs_skeptik [129]

The statement that is true regarding the graphed functions is D. f(–2) = g(–2).

<h3>How to depict the function?</h3>

From the information, on a coordinate plane, a straight red line with a positive slope, labeled g of x, crosses the x-axis at (negative 6, 0) and the y-axis at (0, 6).

Also, the straight blue line with a negative slope, labeled f of x, crosses the x-axis at (negative 0.75, 0) and the y-axis at (0, negative 2).

This is illustrated in the graph and the correct option is D.

Learn more about graph on:

brainly.com/question/19040584

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