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3 years ago

Find the x- and y- intercepts if the line that passes through the given points (-6,-6),(4,-2).

Mathematics

2 answers:

Paul [167]3 years ago

5 0

Answer:

The x-intercept would be 9 and the y-intercept would be -18/5

Step-by-step explanation:

In order to find this we need to first find the slope. To do that we use the two points and the slope equation.

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

m = (-2 - -6)/(4 - -6)

m = 4/10

m = 2/5

Now that we have the slope, we can use that and either point to find the equation of the line in standard form.

y - y1 = m(x - x1)

y + 6 = 2/5(x + 6)

y + 6 = 2/5x + 12/5

-2/5x + y + 6 = 12/5

-2/5x + y = -18/5

-2x + 5y = -18

Now that we have this, we can find the intercepts through using 0s. First, we put a zero in for y to find the x intercept.

-2x + 5y = -18

-2x + 5(0) = -18

-2x = -18

x = 9

Therefore the x intercept is 9.

We find the y-intercept by doing the opposite. We put a 0 in for x.

-2x + 5y = -18

-2(0) + 5y = -18

5y = -18

y = -18/5

docker41 [41]3 years ago

4 0

The x-intercept is 9

The y-intercept is -18/5

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Hence, the answer is (B).

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Answer:

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3 years ago

Two circles have the same radius. Is the combined area of the two circles the same as the area of a circle with twice the radius

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Ok so area=pir^2

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3 years ago

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

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3 years ago

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1/6d + 2/3 = 1/4(d-2) how to solve

natita [175]

Greetings!

Solve for d.
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$1/6d + 2/3 = 1/4d+1/4*-2/1$
$1/6d + 2/3 = 1/4d-2/4$
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$(1/6d + 2/3)+(-2/3)=(1/4d-1/2)+(-2/3)$
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Reduce.
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Hope this helps.
-Benjamin

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4 years ago