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3 years ago

What is the distance between (-2,2) and (2,-1) on coordinate plane

Mathematics

1 answer:

lawyer [7]3 years ago

6 0

Answer:

$d=\sqrt(x2-x1)^{2} + (y2-y1)^{2}$

Step-by-step explanation:

1- Identify the x and the y

x1= -2

x2=2

y1= 2

y2= -1

2- solve the equation:

d= $\sqrt\$ (2-(-2)) $^{2}$ + ((-1)-2) $^{2}$

d= $\sqrt$ (4) $^{2}$ + (-3) $^{2}$

= $\sqrt$ 16 + 9

= $\sqrt$ 25

d=5 answer

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Pie

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3 years ago

Jkl is an equilateral triangle jk= 13x+5,KL= 17X-19 AND JL= 8X+35

stira [4]

Answer:

x = 6

Step-by-step explanation:

Since the triangle is equilateral then sides are congruent.

Equate any 2 sides and solve for x

13x + 5 = 8x + 35 ( subtract 8x from both sides )

5x + 5 = 35 ( subtract 5 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

JK = (13 × 6) + 5 = 78 + 5 = 83

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3 years ago

suppose Richard walks one kilometer every 10 minutes how many meters are there can you walk in an hour at this new rate

Ipatiy [6.2K]

One kilometer is 1000 meters. One hour is 60 minutes, or six segments of 10 minutes each. If you can walk 1000 meters in 10 minutes, you can walk 6000 in an hour (that is REALLY fast, by the way)

3 0

3 years ago

Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyelin

boyakko [2]

<h3>Answer: 24 feet (Choice D)</h3>

=============================================

Explanation:

Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.

Focus on triangle BCD.

The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.

We know that he's 14 ft off the ground, which explains why AB = CD = 14.

The goal is to find BC = AD = x.

---------------------------

Again, keep your focus on triangle BCD.

We'll use the tangent ratio to say

tan(angle) = opposite/adjacent

tan(B) = CD/BC

tan(30.26) = 14/x

x*tan(30.26) = 14

x = 14/tan(30.26)

x = 23.9965714046732

That value is approximate. Make sure your calculator is in degree mode.

That value rounds to 24 feet when rounding to the nearest whole foot.

6 0

3 years ago

The area of a rectangular garden can be expressed as A = 2x^2 -x -6. The width of the garden is 2x+3. Find an expression for the

zalisa [80]

Answer:

Step-by-step explanation:

2x² -x - 6 = 2x² - 4x + 3x - 3*2

= 2x*(x - 2) + 3*(x - 2)

= (x-2)(2x + 3)

A = 2x² -x - 6

A = (x - 2)(2x + 3)

length*width = (x - 2)(2x + 3)

length * (2x +3) = (x - 2)(2x + 3)

$length=\frac{(x-2)(2x+3)}{(2x+3)}$

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3 years ago