All categories

3 years ago

Which of the following equations represents a line that is parallel to the line that passes through the points below?

Mathematics

1 answer:

Pepsi [2]3 years ago

3 0

Answer:

See below

Step-by-step explanation:

Two lines are parallel if they have the same slope but different y-intercepts. So the slope that can be formed given the points (-3,6) and (9,2) is (9-(-3))/(2-6)=12/-4=-3

With y=-3x+b, we need b, which can be found by plugging in either point:

2=-3(9)+b

2=-27+b

29=b

So the y-intercept therefore cannot be 29 but it can be any real number.

So the equation y=-3x+2 works, y=-3x+3, y=-3x+4, and so on....

You might be interested in

What is the measure of the indicated angle? 180° 6° 84° 96°

sleet_krkn [62]

Answer:

84°

Step-by-step explanation:

since the opposite side looks identical to the first angle, the second would be the same degrees.

3 0

2 years ago

Read 2 more answers

The diagram shows a logo

Charra [1.4K]

Answer/Step-by-step explanation:

✔️Find EC using Cosine Rule:

EC² = DC² + DE² - 2*DC*DE*cos(D)

EC² = 27² + 14² - 2*27*14*cos(32)

EC² = 925 - 756*cos(32)

EC² = 283.875639

EC = √283.875639

EC = 16.85 cm

✔️Find the area of ∆DCE:

Area = ½*14*27*sin(32)

Area of ∆DCE = 100.15 cm²

✔️Since ∆DCE and ∆ABE are congruent, therefore,

Area of ∆ABE = 100.15 cm²

✔️Find the area of the sector:

Area of sector = 105/360*π*16.85²

Area = 260.16 cm² (nearest tenth)

✔️Therefore,

Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)

5 0

3 years ago

What's the answer????

katrin2010 [14]

A
C
D
E
F

B should be the obvious no-no

7 0

2 years ago

How do I solve this problem

ziro4ka [17]

You have 3*6=18ft of straight line. then you have the circumference of a circle with a radius of 3 which is 9p

So the perimeter is 18+9p=46.27 ft (to the nearest hundredth)

3 0

3 years ago

Do you brought a cooler container 7.5 L of water to the picnic in 500milliliters of the water I serve to each person and how man

Dafna11 [192]

Answer:

15 people will be served before the cooler would be empty

Step-by-step explanation:

Here, we want to know the number of persons that could be served if the total amount of water available is 7.5L and each serving is 500 milliliters

What we are going to do here is to divide the total amount of water available by the number of individual servings

Mathematically, that would be;

7.5L / 500 milliliters

So we need to convert 7.5L to milliliters

Since 1000 mL = 1L ; 7.5 L = 7.5 * 1000 = 7500 mL

So the number of people served will be;

7500/500 = 15 people

8 0

3 years ago