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Sloan [31]
2 years ago
7

Which phrase best describes this polygon?

Mathematics
1 answer:
galina1969 [7]2 years ago
3 0

Answer:

Convex hexagon

Step-by-step explanation:

hope this helps:)

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Write an equation in slope - intercept form for the line that satisfies each set of conditions
ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(1)

Rearrange 3x + 2y = 1 into this form by subtracting 3x from both sides

2y = - 3x + 1 ( divide all terms by 2 )

y = - \frac{3}{2} x + \frac{1}{2} ← in slope- intercept form

with slope m = - \frac{3}{2}

Parallel lines have equal slopes, thus

y = - \frac{3}{2} x + c ← is the partial equation

To find c substitute (- 6, 15) into the partial equation

15 = 9 + c ⇒ c = 15 - 9 = 6

y = - \frac{3}{2} x + 6 ← equation of line

(2)

Rearrange x + 2y = 8 into slope- intercept form by subtracting x from both sides

2y = - x + 8 ( divide all terms by 2 )

y = - \frac{1}{2} x + 4 ← in slope- intercept form

with slope m = - \frac{1}{2}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{2} } = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, - 2) into the partial equation

- 2 = 10 + c ⇒ c = - 2 - 10 = - 12

y = 2x - 12 ← equation of line

3 0
2 years ago
Read 2 more answers
You bought the new PS5 and 4 games for $660. the PS5 cost $499 and each game cost the same amount. Write an equation that can be
nirvana33 [79]
4x+499=660
X=40.25
X equeals the amount for each game.
4 0
2 years ago
Combine the like terms to create an equivalent expression <br> 4z- (-3z)
NNADVOKAT [17]

Answer:

7z

Step-by-step explanation:

subtracting a negative is like adding

4z - (-3z)\\4z+3z\\7z

4 0
3 years ago
What are the three equivalent to 6/9
Yuki888 [10]

Answer:

2/3, 12/18 and 18/27

Step-by-step explanation:

6 0
3 years ago
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Joseph read 9 books in 15 months. what was his rate of being in books per month?
inna [77]

Answer:

0.6 books

Step-by-step explanation:

Divide 9 by 15 to get 0.6 books a month

5 0
3 years ago
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