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yawa3891 [41]
3 years ago
6

What is the point-slope form of an equation for a line that passes through the point (5, –5) with the slope of 2?

Mathematics
1 answer:
german3 years ago
6 0

Answer:

y + 5 = 2(x - 5)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 2 and (a, b) = (5, - 5) , thus

y - (- 5) = 2(x - 5) , that is

y + 5 = 2(x - 5)

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A theater is selling movie tickets. The first night, 19 Senior tickets and 57 Adult tickets were sold. The second night, 20 Seni
Butoxors [25]

Answer:

The theater sold a higher ratio of Senior tickets to Adult tickets on the first night.

Step-by-step explanation:

Rate of senior tickets to adult tickets:

Can also be interpreted as the percentage of senior tickets, out of the number of total tickets, which is the number of senior tickets multiplied by 100% and divided by the number of total tickets.

The first night, 19 Senior tickets and 57 Adult tickets were sold.

19 out of 19 + 57 = 76. So

19*100%/76 = 25%

The second night, 20 Senior tickets and 62 Adult tickets were sold.

20 out of 20 + 62 = 82. So

20*100%/82 = 24.39%

25% > 24.39%, so the theater sold a higher ratio of Senior tickets to Adult tickets on the first night.

4 0
3 years ago
Geraldine has 200 feet of fencing. She wants to fence in a rectangular area. Which function A(w) represents the area of land tha
Brut [27]

Answer:

A(w) = - w^{2} + 100w

Step-by-step explanation:

First,  we need to find down the length (l) of the rectangular area in term of w

We have 200 feet of fencing is the perimeter of the rectangular area, which mean:

2 (w + l) = 200

<=> l = 100-w

But the area of land: w*l

= w (100-w)

=- w^{2} + 100w

So, A(w) = - w^{2} + 100w  

5 0
3 years ago
One-fifth of the sum of q and 4
pashok25 [27]

Answer:

.5/q+4

Step-by-step explanation:

4 0
3 years ago
What is the point slope form of the points?
Darina [25.2K]

the equation of a line in point-slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

to calculate m use the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 1) and (x₂, y₂) = (1 1/2, 2 )

m = \frac{2+1}{11/2+4} = \frac{3}{5 1/2} = \frac{6}{11}

using (a, b) = (- 4, - 1), then

y + 1 = \frac{6}{11}(x + 4)


6 0
3 years ago
On one day, 4 chefs and 5 helpers earned $650.
Arlecino [84]
4c + 5h = 650 and

5c + 6h = 800 where c are chefs, h are helpers

Start by finding an expression for c

4c + 5h = 650
4c = 650 -5h
c = (650- 5h)/4

Then substitute that into the second equation and solve for a number value for h
5 (650-5h)/4 + 6h = 800
(3250-25h)/4 + 6h = 800
Multiply both sides by 4
3250-25h + 24h = 3200
-h = -50
h = 50

Take that 50 and substitute it into the expression we have for c to get a number value for c

C= 650-5(50)/4
C = 650-250/4
C = 400/4
C= 100

Check your first equations, substituting $50 for the helpers and $100 for the chefs.

4 (100) + 5(50) =
400 + 250 = 650

5(100) + 6(50) =
500 + 300 = 800
6 0
3 years ago
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