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4 years ago

Which equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2)? Select two

Mathematics

1 answer:

dem82 [27]4 years ago

8 0

Answer:

3x - 4y = -4

Step-by-step explanation:

substitute the ordered pair into each equation and ensure that it comes out to be true.

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What is the GCF of 10 and 21?

ki77a [65]

I believe the answer is one.

7 0

3 years ago

Read 2 more answers

Standard form of the equation that goes through (1, 2) with a slope of 7, please!

Radda [10]

Answer:

7x - y = 5

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Obtain the equation in point- slope form and rearrange into standard form.

y - b = m(x - a)

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

Here m = 7 and (a, b) = (1, 2)

y - 2 = 7(x - 1) ← in point- slope form

y - 2 = 7x - 7 ( subtract y from both sides )

- 2 = 7x - y - 7 ( add 7 to both sides )

5 = 7x - y , that is

7x - y = 5 ← in standard form

7 0

3 years ago

Determine the area of an isosceles right triangle with the equal sides each measuring 10 cm in length

Akimi4 [234]

Check the picture below.

6 0

3 years ago

8. Aaron and Zelly want to rent a tandem bike so that

ololo11 [35]

Answer:

$80 = 18.50h + 6$

Step-by-step explanation:

Given

$Amount = \$80$

$Rent = \$18.50$ per hour

$Helmet = \$3.0$

$Individuals =2$

Required

Derive an expression for the scenario

A tandem bike allows 2 individuals to ride on it at a time.

So, they will only pay for one rental fee because both can ride on it at the same time.

However, they need to get separate helmets.

For Helmets, they will spend:

$\$3 * 2 =\$ 6$

For Rental, they will spend

$\$18.50 * h = \$18.50h$ for h hours.

$Total = Rentals + Helmets$

$Total = 18.50h + 6$

Recall that they have just $80 to spend

So, substitute 80 for total

$80 = 18.50h + 6$

Hence, option C answers the question.

7 0

3 years ago

A single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 3 the seco

IceJOKER [234]

Events

• A: an even number is rolled in the first time

• B: a number greater than 3 is rolled the second time

The probability of rolling an even number is:

$\begin{gathered} P(A)=\frac{\text{ number of favorable outcomes}}{\text{ total possible outcomes}} \\ P(A)=\frac{3}{6} \\ P(A)=\frac{1}{2} \end{gathered}$

The probability of rolling a number greater than 3 is:

$\begin{gathered} P(B)=\frac{\text{ number of favorable outcomes}}{\text{ total possible outcomes}} \\ P(B)=\frac{3}{6} \\ P(B)=\frac{1}{2} \end{gathered}$

Events A and B are independent, then the probability of one happening after the other is:

$\begin{gathered} \text{ P(A and B) = }P(A)\cdot P(B) \\ \text{ Substituting with the values previously found:} \\ \text{ P(A and B) = }\frac{1}{2}\cdot\frac{1}{2} \\ \text{ P(A and B) = }\frac{1}{4} \end{gathered}$

8 0

1 year ago