All categories

2 years ago

Write an equation for the line parallel to 5x=7+y and through the point (-1,-3). Graph both lines.

1 answer:

7 0

For lines to be parallel they must have the same slope. Since our reference line is y=5x-7 the parallel line must have the same slope, in this case 5.

So our parallel line thus far has the form:

y=5x+b, using point (-1,-3) we can find the y-intercept or "b"

-3=5(-1)+b

-3=-5+b

b=2 so the parallel line is:

y=5x+2

You might be interested in

Every point on the perpendicular bisector of a segment is?

lisov135 [29]

Its equally distant from the endpoints of the segment to find the center of the following rotation

8 0

3 years ago

Read 2 more answers

Is the triangle with the given dimensions a right triangle? If so, which angle is the right angle? AB =10, BC= 8, CA= 5

ExtremeBDS [4]

No it's not a right triangle.

8 0

3 years ago

The length of sides of triangular fields are 10m, 24m and 26m. A farmer grows flowers in this field. If 5kg flowers can be obtai

Ostrovityanka [42]

Answer:

Area: 120m²

Flowers: 600kg

Step-by-step explanation:

we can use Heron's formula to solve for the area.

Heron's formula:

Area of triangle = $\sqrt{ s(s-a)(s-b)(s-c)}$

s = 1/2 (a+b+c)

s = 1/2 (10 +24+26)

s = 30

Area of triangle

$=\sqrt{30(30-10)(30-24)(30-26)} \\=120m^{2}$

Since every 1 m² of area can grow 5kg of flowers,

the yield of flowers will be:

120 x 5

=600kg

7 0

2 years ago

A group of 12 people want to go to a concert. They can travel in a small car that takes one driver and one passenger and two car

trapecia [35]

Answer: There are 60 ways that they can travel to the concert.

Step-by-step explanation:

Since we have given that

Number of people want to go to a concert = 12

Number of cars = 3

Number of drivers in the group = 5

So, using the "Fundamental theorem of counting":

We get that

$5\times 4\times 3\\\\=60$

Hence, there are 60 ways that they can travel to the concert.

7 0

2 years ago

Identify which of these types of sampling is used: random, stratified,systematic, cluster, convenience. 49, 34, and 48 students

Andrew [12]

Given

49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively.

To find:

Which of these types of sampling is used: random, stratified, systematic, cluster, convenience?

Explanation:

It is given that,

49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively.

That implies,

Since Stratified random sampling is a method of sampling that involves dividing a population into smaller groups–called strata.

Then, the random sampling used is Stratified Random Sampling.

7 0

11 months ago