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2 years ago

5

Graph Y+5=-2x and explain how you did it.

1 answer:

Margaret [11]2 years ago

6 0

Y
=
−
2
x
+
5
y
=
-
2
x
+
5
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
−
2
-
2
y-intercept:
(
0
,
5
)
(
0
,
5
)
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
Tap for more steps...
x
y
0
5
5
2
0

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3 years ago

You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measu

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Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to $180^{o}$ .

Let the exterior angle be represented by $x^{o}$ , and the three interior angles of the triangle be represented by $a^{o}$ , $b^{o}$ and $c^{o}$ .

Assume that the vertex angle $c^{o}$ is the linear pair to the exterior angle $x^{o}$ .

i.e $x^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles on a straight line)

Thus,

i. $a^{o}$ + $b^{o}$ = $x^{o}$ (sum of two opposite interior angles is equal to an exterior angle)

⇒ $a^{o}$ = $x^{o}$ - $b^{o}$

Also,

$b^{o}$ = $x^{o}$ - $a^{o}$

But,

$a^{o}$ + $b^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles in a triangle)

⇒ $c^{o}$ = $180^{o}$ - ( $a^{o}$ + $b^{o}$ )

and

$a^{o}$ + $b^{o}$ = $180^{o}$ - $c^{o}$

ii. $a^{o}$ + $b^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles in a triangle)

$a^{o}$ = $180^{o}$ - ( $b^{o}$ + $c^{o}$ )

Also,

$a^{o}$ + $b^{o}$ = $x^{o}$

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$c^{o}$ = $180^{o}$ - $x^{o}$

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3 years ago

Rebecca leaves home to go to work. She walks the first 5 minutes and then increases her speed until she gets to work. Which grap

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Answer:

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2 years ago

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A chord that is not a diameter: (There are three answers)."

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Answer:

BF

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Step-by-step explanation:

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3 years ago

When bands play at the arena the money made from ticket sales is split in an agreed ratio. When Phillip Cage played, £21,000 was

natulia [17]

Answer:

£6000

Step-by-step explanation:

Given:

Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage.

Question asked:

How much money did the arena make from Phillip Cage's concert?

Solution:

Ratio Arena and Philip cage in which money distributed = 2 : 5

Let ratio be $x$

Money earned by Arena = $2x$

Money earned by Phillip Cage = $5x$

Phillip Cage played total for = £21,000

<u>Money earned by Arena + Money earned by Phillip Cage = £21,000</u>

$2x+5x=21000\\7x=21000\\$

Dividing both sides by 7

$x=3000$

Money earned by Arena = $2x$ = $2\times3000=6000$

Thus, Arena made £6000 from Phillip Cage's concert.

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3 years ago