Find the distance between the lines with equations -2x + 6y - 9 = 0 and y = 1/3x - 2

A. 3.34
B. 3.32
C. 3.33
D. 3.35

Answer:

∠T = 67.5

∠V = 22.5

Step-by-step explanation:

Angles of a triangle rule: The angles of a triangle should add up to equal 180

That being said we create an equation to solve for x

180 = 3x + x + 90 ( there is a right angle indicated by the square at the bottom right of the triangle. A right angle has a measure of 90 degrees so that is where the 90 cam from )

Now that we've created an equation we want to solve for x

180 = 3x + x + 90

step 1 combine like terms

3x + x = 4x

now we have 180 = 4x + 90

step 2 subtract 90 from each side

180 - 90 = 90

now we have 90 = 4x

step 3 divide each side by 4

4x / 4 = x

90 / 4 = 22.5

we're left with x = 22.5

Now we want to find ∠T and ∠V

To do so we replace x in the given expressions with 22.5

for ∠V

∠V = x so ∠V = 22.5

for ∠T

∠T = 3x

* replace x with 22.5 *

3 (22.5) = 67.5

Hence ∠T = 67.5

The solution to the proportion 2/4 = 5/x is x = 10.

To solve the given proportion 2/4 = 5/x, we can cross-multiply and then solve for x.

Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and then multiplying the denominator of the first fraction with the numerator of the second fraction.

Using the given proportion:

2/4 = 5/x

Cross-multiplying:

2 * x = 4 * 5

Simplifying:

2x = 20

To isolate x, divide both sides of the equation by 2:

(2x)/2 = 20/2

Simplifying:

x = 10

Therefore, the solution to the proportion 2/4 = 5/x is x = 10.

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Answer:

the first one, QPN and OPS

Explanation:

they're intersecting and opposites

hope that helped :)

Answer: OPN AND QPN I think (I’m so sorry if I’m wrong)

Step-by-step explanation:

Answer:

1. 2,160ft^3

2. multiply the total volume by 2.5

3. 5,400 BTUs

Step-by-step explanation:

hope this helps

Answer:

731.48

Step-by-step explanation:

you take 6 percent form 100 percent with give 94 percent

then you times 1200 by 94 percent 8 times to get answer

Answer:

21880

Step-by-step explanation:

ON DELTA MATH

Answer:

28.27 or 28 rounded up.

Answer:

7.07 in²

Step-by-step explanation:

Diameter = 3 in ( shown in figure )

Radius = 1/2( diameter) = 1/2 (3) = 1.5 in

Area of a circle = πr²

Area = (3.14)(1.5)²

Area = (3.14)(2.25)

Area = 7.065 in

Area = 7.07 in² ( round off)

Answer:

2x+2

Step-by-step explanation:

1/2(4x)+1/2(4)=2x+2

Answer:

128

Step-by-step explanation:

Answer:

x = 10.4

Step-by-step explanation:

1. Multiply each side by 5 to remove it as a fraction

2. it cancels out on the left leaving 10x - 4 = 100

3. Add 4 to each side canceling it out on the left and leaving 10x = 104

4. Divide each side by 10 to get x by itself

5. 10x/100 = 104/10

6. x = 10.4

Answer:

36 feet :P

Step-by-step explanation:

4x9=36 habe a wonderful day love

Answer:

0.44. ??

Step-by-step explanation:

Answer:

She would have scored 75 points.

Step-by-step explanation:

Points scored in a basketball game vary directly with shots taken.

This means that this question can be solved by proportions, using a rule of three.

How many would she have scored if she takes 60 shots?

Using a rule of three:

50 points - 40 shots

x points - 60 shots

Applying cross multiplication:

[tex]40x = 50*60[/tex]

Dividing both sides by 40

[tex]x = 50*1.5 = 75[/tex]

She would have scored 75 points.

Answer:

8.7

Step-by-step explanation:

formula

d = sqrt(s^2 + s^2 + s^2)

d = sqrt(3*5^2)

d = sqrt(75)

d = 8.7

Where did I get the formula? If the cube sits on one of its faces then the diagonal of that face is sqrt(s^2 + s^2) = sqrt(2s^2)

Now to get the third s^2, you have to realize the the diagonal you calculated in the previous remark is one of the legs for the cube's corner to corner diagonal. The other leg is the height squared which is also s^2.

Answer:

hello love! your answer is 8.7cm :)

Step-by-step explanation:

i got it right on edge !

Answer:

Step-by-step explanation:

This time we use the sin identity.

I am too lazy to write it out again but the answer is 6.97

Answer:

32-6+8+3

37

Step-by-step explanation:

Answer:

32 - 6 + 8 + 3 = 37

Step-by-step explanation:

Since we have the x-value, we can plug it in.

4(8) -6 +(8) +3

32 - 6 + 8 + 3

26 + 11

37

Answer:3.5? i’m not sure sorry

hope that kinndaaaa helps if xxo

Step-by-step explanation:

The representation of (7/2)i in complex number will be 0 + (7/2)i thus option (C) will be correct.

Complex numbers are helpful in finding the square root of negative numbers.

If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).

The general form of a complex number is a + ib where the first part a called real and the ib is called imaginary.

The complex number is written as a + ib where a is said to be the real part while bi is the imaginary part.

As per the given (7/2)i here real part is missing thus, put a = 0

0 + (7/2)i will be the correct.

Hence "The representation of (7/2)i in complex number will be 0 + (7/2)i".

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Answer:

30 degrees

Step-by-step explanation:

triangles have 180 degrees

right triangles have a right angle which is 90 degrees

180-90=90

90-60=30

Answer:

30 degrees

Step-by-step explanation:

A triangle has three sides that should add up to 180.

Since it is a right triangle a side has to be 90°.

90°+60°+_30°_ = 180°

Answer:

y=2x+13

Step-by-step explanation:

Gradient of parallel lines are equal and in the equation,y=2x-5, 2 represents the gradient.

Therefore the gradient of the other line will also be 2.

Introduce another point (x,y) and then equate using the gradient as follows:

y-1/x--6=2

y-1/x+6=2

Cross multiplication;

(y-1)=2(x+6)

y-1=2x+12

y=2x+12+1

y=2x+13

Answer:

Can I have the numbers???

Step-by-step explanation:

Answer:

Correct Answer:

Option (B) -10r2 + 41 - 3

Step-by-step explanation:

#platolivesmatter

Hope this helped :)

Comment for more help, I respond very fast ;)

The expression is equal to f(x) + g(x) is  -10x^2 - 3x + 4, the correct option is C.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

The expression  f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7)

Now,

To find f(x) + g(x), you can add the two functions term by term. This gives you:

f(x) + g(x) = (-3x^2 + 4x + 4) + (x(-7x – 7))

f(x) + g(x) = -3x^2 + 4x + 4 - 7x^2 - 7x

f(x) + g(x) = -10x^2 - 3x + 4

Therefore, by the given expression the answer will be -10x^2 - 3x + 4.

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Answer:

Step-by-step explanation:

any  combination that has as result 18

18 x1

9 x2

6x3

Answer:

no because 2/3 is greater

Answer:

no

Step-by-step explanation:

2/5 and 2/3 can be turned into 6/15 and 10/15. you can clearly see 10/15 (2/3) is higher in value than 6/15.

Answer:

30 = 80 %

40= 20 %

Step-by-step explanation

I'm sorry for not writing how to do it but it's something like if 30 = 100 then if we had 40 occupying 20 percent of that acid then we will get 32 percent

The number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let x be 30% solution of acid and y be 40% solution of acid.

Total quantity of solution is 65 liters.

Now, x+y=65 ----------(i)

Number of liters of solution should be mixed to obtain 65 liters of 32% acid solution.

So, the equation is 30% of x+40% of y=32% of 65

0.30x+0.40y=0.32×65

0.30x+0.40y=20.8 ----------(ii)

From equation (i), x=65-y

Substitute x=65-y in equation (ii), we get

0.30(65-y)+0.40y=20.8

19.5-0.30y+0.40y=20.8

0.10y=20.8-19.5

0.10y=1.3

y=1.3/0.1

y=13

Substitute y=13 in equation (i), we get x=52

Therefore, the number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.

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Answer:

why is brainlys tutor system not free anymore

Step-by-step explanation:

I really need to know all of a sudden it's not free anymore

Answer:

A=L×W

600=L×30

600/30=L

L=20

therefore the length is 20m

9514 1404 393

Answer:

  B.  r = 6.30÷5

Step-by-step explanation:

The cost per pencil is found by dividing the cost by the number of pencils.

Here, the cost is $6.30 and the number of pencils is 5. Then the cost per pencil (r) is ...

  r = 6.30 ÷ 5

Answer:

1.578 × 109 inches

Step-by-step explanation:

Multiply the diameter of one red blood cell by the number of red blood cells to determine the length of the chain.

First, write both numbers in scientific notation.

Now, multiply using the product property of exponents.

Since the first term of a number written in scientific notation must be greater than 1 and less than 10, rewrite 15.78 × 109 as 1.578 × 109.

So, the length of the chain of red blood cells would be about 1.578 × 109 inches long.

c = 54

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