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2 years ago

The equation -2y = 5x + 8 represents a line.

Mathematics

1 answer:

sergiy2304 [10]2 years ago

6 0

Answer:

Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.

Step-by-step explanation:

Given the equation of a line, -2y = 5x + 8, first rewrite the equation in the slope-intercept form, before determining the slope of the lines that will be parallel to it, and slope of lines that will be perpendicular to it.

-2y = 5x + 8

Divide both sides by -2

y = 5x/-2 + 8/2

y = -⁵/2x + 4

The slope of the line of this equation is -⁵/2.

Linea that will be parallel to the given equation will have the same slope, while all lines that will be perpendicular to it will be a negative reciprocal of the slope of the equation.

Therefore:

Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.

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Step-by-step explanation:

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Sam has 30 coins, all nickels and dimes. Together they are worth $2.40 how many nickels and dimes does he have

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Answer:

20 dimes and 8 nickels

Step-by-step explanation:

20 dimes = 10 x 20 = $2.00 and 8 nickels = 40 cents.

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3 years ago

There is money to send four of nine city council members to a conference in Honolulu. All want to go, so they decide to choose t

FrozenT [24]

Answer:

126

Step-by-step explanation:

There are 9 city council members.

We have to choose 4 of them.

We have to use the combination as :

$^9C_4$

where, 9 is the population size

4 is the sample size.

Therefore, the total number of possible samples without replacement is given as :

$^9C_4=\frac{9!}{4!(9-4)!}$

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3 years ago

If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).

Hunter-Best [27]

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Step-by-step explanation:

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1 year ago

On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 mile

Semenov [28]

Answer:

Inequality symbol = ≥

Solution = d≥4

Step-by-step explanation:

If a family drives 350 miles per day, then;

1 day = 350 miles

To determine the number of days they will use to reach at least 1400mles

d days = 1400miles

Divide both expressions

1/d = 350/1400

Cross multiply

350 * d = 1400

350d = 1400

Since we are told that it ia at least 1400miles, this means the total miles can be greater than 1400. Hence the correct inequality sign to use will be a greater than or equal to sign(≥).

The expression above becomes 350d ≥ 1400

Divide both sides by 3350

350d ≥ 1400/350

d≥ 4

Hence the solution that represent the situation is d≥ 4

8 0

3 years ago