All categories

3 years ago

On a coordinate plane, a triangle has points (negative 5, 1), (2, 1), (2, negative 1).

Mathematics

2 answers:

tester [92]3 years ago

8 0

Answer:

The answer is below

Step-by-step explanation:

The points of the triangle are (- 5, 1), (2, 1), (2, - 1). The distance between two points is given by:

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The horizontal leg is formed by points with the same y axis. Therefore the points that make up the horizontal leg is (- 5, 1), (2, 1). The Distance of the horizontal leg is:

$Horizontal\ leg=\sqrt{(2-(-5))^2+(1-1)^2}=\sqrt{7^2+0}=7\ units$

The vertical leg is formed by points with the same x axis. Therefore the points that make up the vertical leg is (2 1), (2, 1-). The Distance of the vertical leg is:

$Vertical\ leg=\sqrt{(2-2)^2+(-1-1)^2}=\sqrt{0+(-2)^2}=2\ units$

The hypotenuse is gotten using Pythagorean theorem. It is gotten by:

Hypotenuse² = (Horizontal leg)² + (Vertical leg)²

Hypotenuse² = 7² + 2²

Hypotenuse² = 49 + 4 = 53

Hypotenuse = √53

Hypotenuse = 7.28 unit

Eduardwww [97]3 years ago

7 0

Answer:

The answer are 7, 2 and 53

Step-by-step explanation:

You might be interested in

!15 points! help asap for flvs

nadezda [96]

Answer:

1, -3, -5, -7, -11, -13, -15, -17?

7 0

3 years ago

Shopping at Savers Mart, Lisa buys her children 4 shirts and 3 pairs of pants for $85.50. She returns the next day and buys 3 sh

maria [59]

Answer:

price for one shirt

7.50

price for one pair of pants

18.50

Explanation:

Start by letting variables

and

represent the pieces of clothing from the problem.

Let

be the price of one shirt.

Let

be the price of one pair of pants.

Equation

85.50

Equation

115.00

You can solve for each variable by using elimination or substitution. However, in this case, we will use use elimination. First, we will solve for

, the price of each pair of pants.

To isolate for

, we must eliminate

. We can do this by making the two equations have the same

values. First, we find the LCM of

and

, which is

. Next, multiply equation

and equation

so that

and

becomes

in both equations.

Equation

85.50

(

)

(

85.50

)

256.50

Equation

115.00

(

)

(

115.00

)

460.00

Now that we have two equations with

, we can subtract equation

from equation

to solve for

256.50

460.00

−

203.50

18.50

⇒

price for one pair of pants

Now that we know that a pair of pants is

18.50

, we can substitute this value into either equation

to find price for one shirt. In this case, we will choose equation

85.50

(

18.50

)

85.50

55.5

85.50

7.50

⇒

price for one shirt

∴

, the price for one shirt is

7.50

and the price for one pair of pants is

18.50

Step-by-step explanation:

yea

5 0

3 years ago

Find the area of the larger sector.

Wewaii [24]

Step-by-step explanation:

the formula for the area of a sector is

(x°(r^2)π)/360

with x being the angle

r bring the radius of the circle

(255(13.4)^2π)/360

399.6

Hope that helps :)

3 0

3 years ago

For sin2x+cosx=0, use a double-angle or half-angle formula to simplify the equation and then find all solutions of the equation

Archy [21]

Answer:

Step-by-step explanation:

Given is a trignometric equation in x, as

$sin2x+cosx=0$

TO make it in one trig ratio, we can replace sin2x as 2sinx cosx

WE get now

$2sinxcosx+cosx=0\\$

$cosx(2sinx+1)=0\\cosx=0, sinx =-0.5\\$

Principal solution is $x=\frac{\pi}{2} , \frac{-\pi}{6}$

x = ±π/2 + 2kπ, where k is any integer or

x=±pi/6 +k pi, where k is any integer.

General solution is

4 0

3 years ago

The quantities x and y are proportional.

Ahat [919]

Answer:

hello misi how are you doing?

8 0

3 years ago

Read 2 more answers