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aleksandrvk [35]
3 years ago
7

Write an equation in point-slope form for the line that passes through the point with the given slope. (–7, 6), m = 0

Mathematics
1 answer:
Nitella [24]3 years ago
5 0

Answer:

(

y

−

6

)

=

0

(

x

+

7

)

Explanation:

The point-slope formula states:

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where

m

is the slope and

(

x

1

y

1

)

is a point the line passes through.

Substituting the values from the equation gives:

(

y

−

6

)

=

0

(

x

−

−

7

)

(

y

−

6

)

=

0

(

x

+

7

)

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If = 12 –3 a,find the value ofxwhen a= 8
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Answer:

-12

Step-by-step explanation:

x = 12-3a

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2 years ago
The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of
weqwewe [10]

Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY.  The measure of D is five-halves the measure of Y. Find the measure of  each angle of the deck.

Answer:

\angle G = \angle Y = 51.43 ^{\circ}

\angle D = \angle R = 128.57 ^{\circ}

Step-by-step explanation:

Given

Shape: Parallelogram DGRY

Dimension: \angle D = \frac{5}{2}\angle Y

Required

Find the measure of each angle

D and R are opposite sides & G and Y are also opposite sides.

So, we have:

\angle D = \angle R = \frac{5}{2}\angle Y

and

\angle G = \angle Y

The sum of angles is given as:

\angle D + \angle G + \angle R + \angle Y=360^{\circ}

Substitute values for \angle D, \angle G \ \&  \angle R

\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}

Take LCM

\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}

\frac{14\angle Y}{2}= 360^{\circ}

Multiply both sides by \frac{2}{14}

\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}

\angle Y= 360^{\circ} * \frac{2}{14}

\angle Y= \frac{ 360^{\circ} *2}{14}

\angle Y= \frac{720^{\circ}}{14}

\angle Y= 51.43 ^{\circ}

So:

\angle G = \angle Y = 51.43 ^{\circ}

\angle D = \frac{5}{2}\angle Y

\angle D = \frac{5}{2} * 51.43^{\circ}

\angle D = \frac{5* 51.43^{\circ}}{2}

\angle D = \frac{257.15^{\circ}}{2}

\angle D = 128.57 ^{\circ}

Hence:

\angle D = \angle R = 128.57 ^{\circ}

8 0
2 years ago
Is 5/6 greater than 5/8
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3 years ago
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Rearrange the formula A = <br> Θr2<br> 2<br> for Θ.
Lina20 [59]

Answer:

\theta=\frac{2A}{r^2}

Step-by-step explanation:

Given : The formula A=\frac{\theta r^2}{2}

We have to rearrange the given formula for \theta

Consider the given formula A=\frac{\theta r^2}{2}

Multiply both side by 2, we have,

2A={\theta r^2

Divide both side by r^2 , we have,

\frac{2A}{r^2}= \frac{\theta r^2}{r^2}

Simplify, we get,

\frac{2A}{r^2}=\theta

Thus, \theta=\frac{2A}{r^2}  

3 0
3 years ago
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