All categories

1 year ago

determine whether AB and CD are parallel, perpendicular,or neither. A(-1,-4), B(2,11), C(1,1), D(4,10)

Mathematics

1 answer:

sergiy2304 [10]1 year ago

3 0

Step-by-step explanation:

the x distance from A to B is 3 (from -1 to 2), and the y distance is 15 (from -4 to 11).

the x distance from C to D is also 3 (from 1 to 4), but the y distance is 9 (from 1 to 10).

so, the slopes are different

AB : 15/3 = 5

CD : 9/3 = 3

and the lines are therefore not parallel.

perpendicular slopes are simply inverting y and x in the ratio and flip the sign (from - to + and vice versa). but that is not the case here either (just to start - both slopes are positive).

so, the 2 lines are "neither".

You might be interested in

FIRST ANSWER GETS BRANLIEST

Darina [25.2K]

There are two steps to this problem. The first step is to make an equation for the cost of each company. The cost of each one involves 2 variables. However, we can ignore the number of days since the question asks for per day.

CostA = 90 + .40(miles)

CostB = 30 + .70(miles)

We want to know when A is a better deal or when A costs less. That is when CostA < CostB. We can then substitute the right sides of our equations into the inequality. This will give:

90 + .40(miles) < 30 + .70(miles) This is where we will now begin to solve for the number of miles.

-30 -30 Subtract 30 from both sides.

60 + .4(miles) < .7(miles) Simplify

-.4(miles) -.4(miles) Subtract .4(miles) from both sides

60 < .3(miles) Simplify

/.3 /.3 Divide both sides by .3

200 < miles Simplify

So for A to cost less the number of miles must be greater than 200.

5 0

2 years ago

What is the surface area of the cylinder with height 5 mi and radius 6 mi? Round your answer to the nearest thousandth.

Delicious77 [7]

Step-by-step explanation:

Given

h = 5 mi

r = 6 mi

Surface Area of Cylinder =

$2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi(6)(5) + 2\pi ({6}^{2}) \\ = 2\pi(30) + 2\pi(36) \\ = 60\pi + 72\pi \\ = 132\pi \\ = 414.690 {mi}^{2} (nearest \: thousandth)$

5 0

2 years ago

Read 2 more answers

1a/3a + 2 = 11 what does a equal

VashaNatasha [74]

Because in the numerator and denominator of the fraction 1a/3a, you're able to simplify that and get 1/3. There is actually no solution to the problem you're asking. You're unable to find out what (a) equals.

4 0

2 years ago

Frank wants to build a 48 feet long fence around his garden. How long will be the fence in yards?

Andreyy89

Answer:

48 ft = 16 yards

Step-by-step explanation:

5 0

2 years ago

Which sequences of transformations confirm the congruence of shape II and shape I?

mylen [45]

Answer:

1. When we reflect the shape I along X axis it will take the shape I in first quadrant, and then if we rotate the shape I by 90° clockwise, it will take the shape again in second quadrant . So we are not getting shape II. This Option is Incorrect.

2. Second Option is correct , because by reflecting the shape I across X axis and then by 90° counterclockwise rotation will take the Shape I in second quadrant ,where we are getting shape II.

3. a reflection of shape I across the y-axis followed by a 90° counterclockwise rotation about the origin takes the shape I in fourth Quadrant. →→ Incorrect option.

4. This option is correct, because after reflecting the shape through Y axis ,and then rotating the shape through an angle of 90° in clockwise direction takes it in second quadrant.

5. A reflection of shape I across the x-axis followed by a 180° rotation about the origin takes the shape I in third quadrant.→→Incorrect option

6 0

2 years ago

Read 2 more answers