Prove: The square of an even number is even

Distance:-

[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-9+15)^2+(8-3)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(6)^2+(5)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{36+25}[/tex]

[tex]\\ \sf\longmapsto \sqrt{61}[/tex]

[tex]\\ \sf\longmapsto 7.32units[/tex]

Given info:- Find the distance between the points (-15,3) and (-9,8).

Explanation:-

Distance formulae:

Distance = √{(x₂ - x₁)² + (y₂ - y₁)²}

Let's figure out the distance between two points A = (-15,3) and B = (-9,8).

From those points,

x₁ = -15

x₂ = -9

y₁ = 3

y₂ = 8

Using them in the formula,

Distance btw AB = √[{(-9 - (-15)}² + (8 - 3)²]

= √[(-9 + 15)² + (8 - 3)²]

= √[(6)² + (5)²]

= √[(6*6) + (5*5)]

= √[36 + 25]

= √[61] Units.

Therefore, the distance between A(-25,3) and B(-9,8) is √(61) units.

Answer:

22/45

Step-by-step explanation:

i literally just looked it up and that's what it gave me i pretty sure its right

Answer:

Chris drove the truck 203 miles.

Step-by-step explanation

So, first I subtracted the base free cost of the amount he paid and got $152.25. Then, I divided $152.25/0.75 and got 203. S0, that's how I got the answer. I subtracted the base free because we know he had to pay that initially and then I just divided the rest of the money he had to pay by 0.75 because he was charge 0.75 per mile driven.

Answer: 13 1/3 degrees per hour

Explanation: 10/3 x 4 = 40/3

40/3 = 13 1/3

Answer:

A'(-6,4) B'(2,2) C'(-2,-2)

Step-by-step explanation:

The dilation is by 2. This just means you multiply each number by two. FOr example, for point a, multiply -3 by 2 and 2 by 2 to get (-6, 4).

Answer:

2n + 9

Step-by-step explanation:

3n - n + 4 + 5 = 2n + 9

Answer:

yellow: x=6

red: y=4

blue: y=-2

Step-by-step explanation:

or

- BRAINLIEST answerer

Answer: 34,000 Dinars

Step-by-step explanation: As 25,000 + 9000 is 34,000

Answer:

w = 10

Step-by-step explanation:

To find the value of w, you need to isolate w on one side.

You can start by subtracting 2 from both sides. What you do to one side of the equation, you have to do to both.

12 - 2 = 10

So now w is isolated and is equal to 10.

w = 10

You can check your work by replacing w with 10 in the equation.

10 + 2 = 12

Answer: R= 4

Step-by-step explanation:

FOR step by step explanation ask me by my mail , Thanks !

Answer:

It's the 3rd option

Step-by-step explanation:

A function cannot have one value of 5 associated to more than one value on y

Step-by-step explanation:

168 hours I guess

have a food day

Answer:2,910

Step-by-step explanation:

Answer:

2910

Step-by-step explanation:

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Answer:

Let x be the bigger number, and y be the smaller number.

[tex]x+y=200[/tex]

[tex]x=200-y[/tex]

Since the difference is 82,

[tex]x-y=82[/tex]

Substitute x in:

[tex](200-y)-y=82[/tex]

[tex]200-2y=82[/tex]

[tex]2y=200-82[/tex]

[tex]2y=118[/tex]

[tex]y=59[/tex]

[tex]x=200-59[/tex]

[tex]x=141[/tex]

Answer:

Step-by-step explanation:

9,000 meters

Answer:

C. y=3x-2

Step-by-step explanation:

Well we know the equation: y=mx+b

The slope is m, so m= 3

And the y-intercept is b, so b= (0,-2) or b=-2

Then,

Subsitute everything in:

y= 3x -2

I hope this helped :)

Answer:

A: -5/4 ; B: -0.5 ; C: 2

Step-by-step explanation:

Its the number line which shows.

Answer:

B = -0.5

A= -5/4

C= 2

Brainlest

Step-by-step explanation:

Answer:

[tex]5^{\frac{5}{3} }[/tex]

Step-by-step explanation:

Using the rules of exponent

[tex]\sqrt[3]{a}[/tex] = [tex]a^{\frac{1}{3} }[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

[tex]\frac{25}{\sqrt[3]{5} }[/tex]

= [tex]\frac{5^2}{5^{\frac{1}{3} } }[/tex]

= [tex]5^{\frac{6}{3}-\frac{1}{3} }[/tex]

= [tex]5^{\frac{5}{3} }[/tex]

Answer:

Step-by-step explanation:

1) add all angles to 180

2) exterior angle = P + Q

i can add remaining ones also

Answer:

C.They have the same y-intercept.

Step-by-step explanation:

Edge 2021

The conclusion about the two functions is (c) they have the same y-intercept.

Functions are used to represent equation, graphs and tables

The equation of the function is given as:

[tex]f(x) = (x + 4)^2[/tex]

Set x = 0, to calculate the y-intercept

[tex]f(0) = (0 + 4)^2[/tex]

Evaluate

[tex]f(0) = 16[/tex]

From the complete question, the graph crosses the y-axis at y = 16

This means that both functions have the same y-intercept

Hence, the true statement about the functions is (c) they have the same y-intercept.

Read more about functions at:

https://brainly.com/question/15602982

Answer:

-14

Step-by-step explanation:

2c + d

We are given the values of c and d:

c = -9

d = 4

We substitute in these values

2(-9) + 4 = ?

2 times -9 is -18

-18 + 4 = -14

2c + d = -14

Answer:

174 cm

Step-by-step explanation:

1.83 m to cm is 183.

So, 183 cm - 9 cm = 174cm

Hope you understand ^^

Answer:

174 cm

Step-by-step explanation:

1 meter is equal to 100 centimeter so 1.83m times 100 is equal to 183cm. so 183 cm-9cm=174 cm

Answer:

Step-by-step explanation:

Notice that the y-component is the same, -2, in these two points.  That means y does not change as x changes, and therefore we conclude that the slope of the line connecting the two points is m = rise / run = 0.

                                      -2 - (-2)

Alternatively, use m = -------------- = 0

                                        3 - 13

The value of the slope in question is zero:  m = 0

Answer:

  8. x=6; supplementary consecutive interior angles

  10. x = 4; no applicable theorem

Step-by-step explanation:

The marked angles are "consecutive interior" angles. When their sum is 180°, the lines l and m will be parallel.

  (7x -15) +(24x +9) = 180

  31x = 186

  x = 6

Consecutive interior angles being supplementary will make the lines parallel.

__

The sum of the remote interior angles of a triangle is equal to the exterior angle:

  28x = 48 +16x

  12x = 48

  x = 4

The above relation holds regardless of whether line l is parallel to line m. There is no applicable theorem or converse.

_____

Additional comment

Adding the marking shown in the attachment would make the converse of the alternate interior angles theorem applicable to problem 10.

Answer:

Step-by-step explanation:

Slope is change in y over the change in x

(r - 3) / (6 - 5) = -1

(r - 3) / (1) = -1

r - 3 = -1

r = 2

Answer:

2 x 6 = 12

6 x 2 = 12

12 ÷ 6 = 2

12 ÷ 2 = 6

Step-by-step explanation: