Distance & midpoint

Answer:

y = - 4x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x - 4y = 12 ( subtract x from both sides )

- 4y = - x + 12 ( divide terms by - 4 )

y = [tex]\frac{1}{4}[/tex] x - 3 ← in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{4} }[/tex] = - 4 , then

y = - 4x + c ← is the partial equation

To find c substitute 2, 3 ) into the partial equation

3 = - 8 + c ⇒ c = 3 + 8 = 11

y = - 4x + 11 ← equation of perpendicular line

The equation y + 4x = 11 is the equation of a line that is perpendicular to the line x-4y = 12 and passes through the point (2,3).

By rearranging x - 4y = 12 in the form, y = mx + c;

we have; y = (x/4) - 3

The slope, m1 from here is (1/4)

The product of the slopes of two perpendicular lines is;

Therefore, the equation of the line whose slope is -4 and passes through the point (2,3) is;

By cross product; we have;

y + 4x = 11.

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Answer:

3 7/20

Step-by-step explanation:

9/20 + 2 9/10 = 9/20 + 2 18/20

= 2 + 27/20

= 2 + 1 7/20

= 3 7/20

Hello!

✥ Answer ✥

9/20 + 2 9/10 = 67/20

❀ Step-by-step explanation: ❀

1. Calculate:

9/20 + 2 9/10

9/20 + 29/10 (We amplify by 2)

9/20 + 58/20

67/20

Good luck!

Answer:

$2,295

Step-by-step explanation:

Meghan = x

Crystal = x + 135

[tex] \frac{8}{3} = \frac{x}{x + 135} [/tex]

[tex]8 \times (x + 135) = 3x[/tex]

[tex]8x + 1.080 = 3x[/tex]

[tex]1.080 = x[/tex]

Meghan got $1,080

[tex]1.080 + 135 = 1.215[/tex]

Crystal got $1,215

[tex]1.080 + 1.215 = 2.295[/tex]

$2,295 money was shared.

Answer:

h is an odd funtion

Step-by-step explanation:

this is because h(-x)=h(x)

Answer: A

Step-by-step explanation:

A sum of odd functions is a odd function

Proof:

[tex]h(x)=x^5-2x^3+x\\\\h(-x)= (-x)^5-2(-x)^3+(-x) \\\\=- x^5-2(-x^3)-(-x)\\\\=-(x^5-2x^3+x)\\\\=-h(x)\\\\So\ h(-x)=-h(x):\ the \ function\ h(x) \ is\ odd.\\[/tex]

Here we need to see which axioms or properties are used in each case.

A: ab²×0 = 0

Here we have a given number (ab²) times zero, and the outcome is zero. This comes from the existence of zero, which states that there must exist a value that represents nothingness, the zero, such that the product between any number and this one is zero.

B: (7 + 5) + 1 = 7 + (5 + 1)

This is the associative property of addition, which says that we can perform the addition in any order we want.

C:  6 = 6

This is the reflexive property of equality, which says that every number is equal to itself.

D: 7(x – 3) = 7x - 21

This is the distributive property, which says that:

C*(A + B) = C*A + C*B

We can see that if we apply it to the left side we get:

7(x - 3)  = 7x - 7*3 = 7x - 21

E:  x + (-x) = 0

This is the existence of the opposite number. This property says that for any real number N there exists a real number A such that:

N + A  = 0

Particularly, in the real set, we can see that A = -N

G: (a + b) + 0 = 0 + (a + b)

Here we can see that the order changes in the addition, this is the commutative property of the addition, which says that:

A + B = B + A

So the elements in the sum can commute.

H: if x = -1, and -1 = z, then x = z

This is the transitive property, we can apply it in the next way:

x = -1 = z

then x = z

So if both variables are equal to the same number, then the variables are equal.

I: 4x×1 = 4x

This is the existence of the identity with respect to multiplication. It says that there exist a number A such that for any number X, the product between A and X is equal to X:

X*A  =X

Particularly, A = 1.

X*1 = X.

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Answer:

Step-by-step explanation: I also need help

Answer:

4

Step-by-step explanation:

a whole number is a number with no fraction

4 is a whole number.

Whole Numbers The numbers contain natural numbers and zero. Not a fraction or decimal. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer.

A whole number exists simply as any positive numeral that does not contain a fractional or decimal part. This indicates that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 exist as all whole numbers. Numbers such as -3, 2.7, or 3 ½ stand not whole numbers.

Hence, 4 is a whole number.

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Answer:

81,75

Step-by-step explanation:

you will use BODMAD

Which means in case you will divide first the 6 by 7 in division form .after getting the answer you will then multiply the answer by the 5.15.and get the final answer

Answer:

k = 14

Step-by-step explanation:

k = 14 because if you isolatethe variable by dividing each side by factor that dosent contain the variable

Answer:

I'm pretty sure this is the correct answer hope it helps :)

Answer:

second one Step-by-step explanation:

Answer:

1. Factor

2. Multiply

3. Division

Step-by-step explanation:

Answer:

5.25inches

Step-by-step explanation:

difference in height = 68.5-63.25 =5.25

Height of Mario Hm = 68.5 inches

Height of Tyler Ht = 63.25 inches

Evidently, Hm > Ht

Now difference = Hm - Ht = 68.5 - 63.25

= 5.25 inches

Answer: Mario is 5.25 inches taller than Tyler.

Answer:

C

Step-by-step explanation:

Hi! I'm happy to help!

To solve this, we first need to look at the perimeter equation:

P=2L+2W

We don't know our length, so we can represent it with x. Since our width is 2 feet shorter than x, we can represent it with x-2. Now, we plug these values into our equation:

56=2x+(2(x-2))

Let's simplify what the width is by multiplying:

56=2x+2x-4

Now, let's combine our 2xs

56=4x-4

Now, we just need to solve for x in order to find our length and width.

First, we need to isolate x on one side of the equation. We can do this by adding 4 to both sides:

56=4x-4

+4      +4

60=4x

Now, all we have to do is divide both sides by 4 and x will be fully isolated:

60=4x

÷4  ÷4

15=x

Now that we know x, let's plug this into our previous equations:

L=x=15

L=15

W=x-2=15-2=13

W=13

To verify our answers, we can plug this into our perimeter equation:

56=2(15)+2(13)

56=30+36

56=56

After double checking our answers, we know that our length is 15 and our width is 13.

I hope this was helpful, keep learning! :D

Answer:

if you need help with some subjects you can come here in brainly it helps me a lot i just started grad 6 so yeah

like if you have a math question just go to ask question you and someone will help

Answer:

The product of 500 and any of these number will contain 2zeros

Answer:

what

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the identity

sin²x + cos²x  = 1 then

sin²x = 1 - cos²x

sin x = ± [tex]\sqrt{1-cos^2x}[/tex]

Given cos θ = [tex]\frac{2}{3}[/tex] , then

sinθ = ± [tex]\sqrt{1-(\frac{2}{3})^2 }[/tex] = ± [tex]\sqrt{1-\frac{4}{9} }[/tex] = ± [tex]\sqrt{\frac{5}{9} }[/tex] = ± [tex]\frac{\sqrt{5} }{3}[/tex]

Also

tanθ = [tex]\frac{sin0}{cos0}[/tex]

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

       = [tex]\frac{\sqrt{5} }{3}[/tex] × [tex]\frac{3}{2}[/tex] = ± [tex]\frac{\sqrt{5} }{2}[/tex]

Answer:

please answer me binary number multiply 11010 multiply 101

Answer:

A=0

B=1

Step-by-step explanation:

Just did it (:

Answer: A = 0, and B = 1.

Step-by-step explanation: I put 0, and 1, and it was the perfect answer.

Answer:

hello, your name similarty to my name

Step-by-step explanation:

put 6 from x and to find function

f(6)= 72-42-6=24

Answer:

7-(-14)

7+14=21

Step-by-step explanation:

- and -  = +

Answer:

It is (x - 7)(x + 7)

Step-by-step explanation:

[tex] {x}^{2} - 49 \\ = {x}^{2} - {7}^{2} [/tex]

from the "difference of two squares"

[tex]( {a}^{2} - {b}^{2} ) = (a - b)(a + b)[/tex]

take;

a » x

b » 7

substitute:

[tex]( {x}^{2} - {7}^{2} ) = (x - 7)(x + 7)[/tex]

Answer:

60x^4y^6

Step-by-step explanation:

(5xy^2)×(12x^3y^4)

=60x^(1+3)y^(2+4)

=60x^4y^6

Step-by-step explanation:

lena=45/5=9 laps per min

ann= 40/4=10 laps per min

Carmen=56/8= 7 laps per min

the fastest = ANN

Answer:

0

Step-by-step explanation:

the slope is the same and the intercepts are different

Answer:

6

Step-by-step explanation:

Use PEMDAS

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

Problem: 17 - {19 - 2(1 + 3)}

Step 1:

17 - {19 - 2(1 + 3)} = 17 - {19 - 2 x 4}

Step 2:

17 - {19 - 2 x 4} = 17 - {19 - 8}

Step 3:

17 - {19 - 8} = 17 - 11

Step 4:

17 - 11 = 6

If this is correct please give me brainliest.

Answer:

[tex] \frac{4(5 + 2)}{2} = \frac{20 + 8}{2} = \frac{28}{2} = 14[/tex]

I hope I helped you^_^

Answer:

1111111111111111111111111111111111111111

Step-by-step explanation: