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3 years ago

A line passes through the point (-1, -7) and has a slope of -8.

Mathematics

1 answer:

mr_godi [17]3 years ago

3 0

9514 1404 393

Answer:

y = -8x -15

Step-by-step explanation:

It can be useful to start with the point-slope form when you are given a point and a slope.

y -k = m(x -h) . . . . . line with slope m through point (h, k)

For the given line, this equation is ...

y +7 = -8(x +1)

y = -8x -8 -7 . . . . eliminate parentheses, subtract 7

y = -8x -15 . . . . . slope-intercept form

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Prove that the triangle EDF is isosceles. Give reasons for your answer.

Gekata [30.6K]

Answer:

$\triangle EDF$ is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are given the following things:

$\angle EDF = y$

$\text{External }\angle DFG = 90 +\dfrac{y}{2}$

Let us try to find out $\angle E$ and $\angle DFE$ . After that we will compare them.

Finding  $\angle DFE$ :

Side EG is a straight line so $\angle GFE = 180$

$\angle GFE$ is sum of internal $\angle DFE$ and external $\angle DFG$

$\angle GFE = 180 = \angle DFE + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)$

Finding  $\angle E$ :

Property of external angle: External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external $\angle DFG$ = $\angle E + \angle EDF$

$\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2} -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)$

Comparing equations (1) and (2):

It can be clearly seen that:

$\angle DFE = \angle E =90-\dfrac{y}{2}$

The two angles of $\triangle EDF$ are equal hence $\triangle EDF$ is isosceles.

8 0

3 years ago

HELPP ASAPPP

Softa [21]

Answer:

3/8

Step-by-step explanation:

3/4*1/2=3/8

3/8*1=3/8

*=multiply

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3 years ago

What is the solution of this equation? a+6=14

morpeh [17]

The answer would be a=8

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Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.

natali 33 [55]

X = − 3 + 3+3i√3
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,3−3i√3
—————
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5 0

3 years ago

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BRAINLIEST!!PLEASE HELP ME!

liberstina [14]

IF i did my math correct it should be the 2nd answer b

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