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Tems11 [23]
3 years ago
12

Find the equation of a line parallel to y=-10x-5 passing through the coordinate (-3,5)

Mathematics
1 answer:
Allushta [10]3 years ago
4 0
With a given parallel line and a given point on the line
we can use the point-line method:  y-y0=m(x-x0)
where
y=mx+k is the given line, and
(x0,y0) is the given point.

Here
m=-10, k=-5, (x0,y0)=(-3,5)

=> the required line L is given by:
L:  y-5=-10(x-(-3))

on simplification
L: y=-10x-30+5
L: y=-10x-25
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tim has a box of 15 markers. He gives 3 markers each to 4 friends..what expression can show the numbers of markers tim has left?
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15-(3•4) = m

m=how many markers Tim has left.
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I will give brainiest to whoever answers correctly !!
Lisa [10]

Answer:

The number of units decreased by 8.7\%.

Step-by-step explanation:

Initially, 470 units were sold. The following 429 units were sold, meaning this was 470-429=41 less units than last year. Thus, the number of units sold decreased and the percent of decrease is:

\frac{41}{470}\approx 8.7\%

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2 years ago
Evaluate the expression "h ÷ 0.07 for h = 4.9
True [87]
Simple. Plug in 4.9 for in into the equation, which would then be 4.9 divided by 0.07. which then equals 70.
7 0
3 years ago
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In the cordinate plane what is the length of the line segment that connects points at (0, -1) and (-7, -2) ? Enter your answer i
allsm [11]

Answer:

≈ 7.07

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (- 7, - 2)

d = \sqrt{(-7-0)^2+(-2+1)^2}

  = \sqrt{(-7)^2+(-1)^2}

  = \sqrt{49+1} = \sqrt{50} ≈ 7.07

4 0
3 years ago
Jamie has a collection of 78 nickels, dimes, and quarters worth $12.40. If the number of quarters is
fgiga [73]

Jamie has 25 nickels, 14 dimes and 39 quarters in his collection

Step-by-step explanation:

The given is:

1. Jamie has a collection of 78 nickels, dimes, and quarters

2. They worth $12.40

3. If the number of quarters is  doubled, the value becomes $22.15

Assume that there are n nickels, d dimes and q quarters

∵ The collection of Jamie has 78 coins

∴ n + d + q = 78 ⇒ (1)

∵ 1 nickels = 5 cents

∵ 1 dimes = 10 cents

∵ 1 quarter = 25 cents

∵ The collection of Jamie worth $12.40

- Change the value of the collection to cents

∵ $1 = 100 cents

∴ The collection of Jamie worth = 12.40 × 100 = 1240 cents

∴ 5n + 10d + 25q = 1240

- Divide all terms by 5 to simplify it

∴ n + 2d + 5q = 248 ⇒ (2)

∵ When the number of quarters is  doubled, the value becomes

   $22.15

∵ The number of quarters is q

∴ The new number of quarters is 2q

∵ The value of coins is $22.15

∵ $22.15 = 22.15 × 100 = 2215 cents

∴ 5n + 10d + 25(2q) = 2215

∴ 5n + 10d + 50q = 2215

- Divide each term by 5 to simplify it

∴ n + 2 d + 10q = 443 ⇒ (3)

Subtract equation (2) from equation (3)

∵ n + 2d + 5q = 248 ⇒ (2)

∵ n + 2 d + 10q = 443 ⇒ (3)

∴ 5q = 195

- Divide both sides by 5

∴ q = 39

Substitute the value of q in equations (1) and (2)

∵ n + d + q = 78 ⇒ (1)

∴ n + d + 39 = 78

- Subtract 39 from both sides

∴ n + d = 39 ⇒ (4)

∵ n + 2d + 5q = 248 ⇒ (2)

∴ n + 2d + 5(39) = 248

∴ n + 2d + 195 = 248

- Subtract 195 from both sides

∴ n + 2d = 53 ⇒ (5)

Subtract equation (4) from equation (5)

∵ n + d = 39 ⇒ (4)

∵ n + 2d = 53 ⇒ (5)

∴ d = 14

Substitute the value of d in equation (4)

∵ n + d = 39 ⇒ (4)

∴ n + 14 = 39

- Subtract 14 from both sides

∴ n = 25

Jamie has 25 nickels, 14 dimes and 39 quarters in his collection

Learn more:

You can learn more about solving system of equations in

brainly.com/question/13168205

brainly.com/question/2115716

#LearnwithBrainly

5 0
2 years ago
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