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3 years ago

Which graph best represents a line parallel to the line with the equation y= -1/3x+4

Mathematics

1 answer:

otez555 [7]3 years ago

3 0

Your answer is D.
this equation is called the slope intercept form.
y=MX+b
M: is rise/run is your case down 1 because of the "-" sign and right 3
X: is the variable.
b: where you put the first point on the y-axis

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The coordinates G(7, 3), H(9, 0), I(5, -1) form what type of polygon?<br><br> an obtuse triangle

ahrayia [7]

Answer:

Is an acute triangle

Step-by-step explanation:

we have

$G(7, 3),H(9, 0),I(5, -1)$

The polygon is a triangle

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Remember that

If applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$ -----> is a right triangle

$c^{2}>a^{2}+b^{2}$ -----> is an obtuse triangle

$c^{2}$ -----> is an acute triangle

where

c is the greater side

step 1

Find the distance GH

$G(7, 3),H(9, 0),I(5, -1)$

substitute

$d=\sqrt{(0-3)^{2}+(9-7)^{2}}$

$d=\sqrt{(-3)^{2}+(2)^{2}}$

$GH=\sqrt{13}\ units$

step 2

Find the distance HI

$G(7, 3),H(9, 0),I(5, -1)$

substitute

$d=\sqrt{(-1-0)^{2}+(5-9)^{2}}$

$d=\sqrt{(-1)^{2}+(-4)^{2}}$

$HI=\sqrt{17}\ units$

step 3

Find the distance GI

$G(7, 3),H(9, 0),I(5, -1)$

substitute

$d=\sqrt{(-1-3)^{2}+(5-7)^{2}}$

$d=\sqrt{(-4)^{2}+(-2)^{2}}$

$GI=\sqrt{20}\ units$

step 4

Let

$c=GI=\sqrt{20}\ units$

$a=HI=\sqrt{17}\ units$

$b=GH=\sqrt{13}\ units$

Find $c^{2}$ ------> $c^{2}=(\sqrt{20})^{2}=20$

Find $a^{2}+b^{2}$ ----> $(\sqrt{17})^{2}+(\sqrt{13})^{2}=30$

Compare

$20 < 30$

therefore

Is an acute triangle

4 0

3 years ago

Please help lol !!!!

dangina [55]

Answer:

63 degrees

Step-by-step explanation:

Since this is an isosceles triangle, the two bottom angles must be equal, while the top angle (in the way this specific triangle is oriented) must be different. Therefore, angle CDB is 63 degrees.

7 0

3 years ago

Read 2 more answers

Factor the expression completely.<br> -48-56x

fiasKO [112]

Answer:

Factor- −8(7x+6)

Simplified- −56x−48

Step-by-step explanation:

5 0

3 years ago

I need help on this equation, pre algebra dividing fractions! 15 points and will get brainliest answer if correct!

const2013 [10]

-8/9÷1/6

To divide by a fraction, multiply by its reciprocal.

- 8/9*6

Cancel common factor of 3

- 1×8/3=2/1

-8/3=2/1

Simplify to get

- 16/3

5 0

3 years ago

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hichkok12 [17]

Answer:

x=-1

Step-by-step explanation:

The axis is the highest or lowest point on a parabola.

I'm adding my answer again cuz it was taken down.

7 0

3 years ago