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andreev551 [17]
3 years ago
5

Write the point-slope form of the line that passes through (5, 5) and is PARALLEL to a line with a slope of 1/4. Include all of

your work in your final answer.
Write the point-slope form of the line that passes through (5, 5) and is PERPENDICULAR to a line with a slope of 1/4.

PLEASE HELP!
Mathematics
1 answer:
lesya692 [45]3 years ago
4 0
Parallel lines will have the same slope

y - y1 = m(x - 1)
slope(m) = 1/4
(5,5)...x1 = 5 and y1 = 5
now we sub
y - 5 = 1/4(x - 5) <==== ur parallel line
==================
perpendiculr lines will have a negative reciprocal slope. To find the negative reciprocal, u flip the number and change the sign. So the negative reciprocal of 1/4 is -4....see how I flipped 1/4 and made it 4/1...then changed the sign making it -4/1 or just -4. That will be ur slope of the perpendicular line.

y - y1 = m(x - x1)
slope(m) = -4
(5,5)...x1 = 5 and y1 = 5
now we sub
y - 5 = -4(x - 5) <=== ur perpendicular line
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5 0
3 years ago
There are 280 pieces of fruit in a fruit salad. There are twice as many raspberries as blueberries, three times as many grapes a
dedylja [7]

Answer:

64 cherries

Step-by-step explanation:

Given that

There are 280 pieces of fruit in a fruit salad

There are twice as many raspberries as blueberries,

three times as many grapes as cherries,

and four times as many cherries as raspberries

We need to find out the number of cherries in the fruit salad

So,

Let us assume the blueberries be x

So, the raspberries be 2x

Cherries be 8x

And, grapes be 24x

Now

x + 2x + 24x + 8x = 280

35x = 280

x = 8

hence, the No of cherries in the salad

= 8 x

= 8(8)

= 64 cherries

5 0
3 years ago
Determine if (-1,9) and (-2,6) are solutions to the system of equations: x + y = 8 x2 + y = 10 A) Both are solutions B) Neither
Dahasolnce [82]

Answer:

D) Only (-1,9) is a solution.

Step-by-step explanation:

x+y =8

x^2 + y = 10

Lets check the first point (-1,9)

Put in x =-1 y =9

x+y =8

-1+9 = 8

8 =8

This works

x^2 + y = 10

(-1)^2 +9 =10

1+9 = 10

10 = 10

This works

Lets check the second point (-2,6)

Put in x =-2 y =6

x+y =8

-2+6 = 8

4=8

This  does not work

We can stop now.  (-2,6) cannot be a solution

7 0
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Information collected from runner 3# is in the table below
Shtirlitz [24]

Answer:

the constant of proportionality would be 9

5 0
2 years ago
write the slope - intercept equation of the line that passes through the point (6, "-1)" and has a slope of "-1/3"
TEA [102]

Answer:

y = - \frac{1}{3} x + 1

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 )

Here m = - \frac{1}{3} , then

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - \frac{1}{3} x + 1 ← equation of line

8 0
3 years ago
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