Find the location of the x-intercept, the location of the y-intercept, and the slope for the line

Mathematics

1 answer:

I am Lyosha [343]3 years ago

4 0

Answer:

x intercept (15/4,0)

y intercept (0,2)

slope 8/15

Step-by-step explanation:

15y − 8x = 30.

To find the x intercept, set y =0

15(0) -8x = 30

8x = 30

Divide each side by 8 to solve for x

8x/8 = 30/8

x = 15/4

To find the y intercept, set x =0

15y -8(0) = 30

15y = 30

Divide each side by 15

15y/15 = 30/15

y =2

To find the slope we solve the equation for y

15y − 8x = 30.

Add 8x to each side

15y − 8x+8x =8x +30.

15y = 8x +30

Divide each side by 15

15y/15 = 8x/15 +30/15

y = 8/15x +2

The slope is 8/15

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Answer:

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A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle

Natali [406]

Answer:

$\sqrt{514} cm$ , 8cm, are both options

Step-by-step explanation:

For a right triangle one can find the length of the longest side by using the Pythagorean theorem. So there are two options I can think of that if the triangle is a right triangle will work. First remember what the Pythagorean theorem is : side a^2+side b^2=hypotenuse^2

The hypotenuse is the longest side of a right triangle. So if the sides that are 15 and 17 cm are not the longest sides then the formula would be:

$15^{2} +17^2=c^2\\15^2+17^2=\sqrt{514}cm$