Part B
Notice that two line segments are formed on each transversal between the central parallel line and the outer parallel
lines. Measure the lengths of the four line segments.

Answer:

1) [tex]y=-\frac{1}{4}x+\frac{1}{2}[/tex]

2) [tex]y=4x+5[/tex]

3) [tex]y=-\frac{1}{4}x+4[/tex]

Step-by-step explanation:

Question 1:

All you have to do is solve for y to get the slope intercept form.

[tex]4x+16y=8\\16y=-4x+8\\y=-\frac{1}{4}x+\frac{1}{2}[/tex]

So the equation is [tex]y=-\frac{1}{4}x+\frac{1}{2}[/tex]

Question 2:

Now for this one you have to find the line perpendicular to the previous equation.

     Finding the slope:

So first we need to find the slope and usually the slope of a perpendicular line is the opposite and the reciprocal to the original equation. So instead of [tex]-\frac{1}{4}[/tex] it will be [tex]\frac{4}{1}[/tex] or even easier to manage [tex]4[/tex].

     Finding the y-intercept:

For the y-intercept we need to plug in what we know into this formula....[tex]y=mx+b[/tex]

We know the slope is [tex]4[/tex] and we could use the ordered pair that they provided us with [tex](-6,-19)[/tex]. The -6 is the x and the -19 will be the y. Now let's plug in and solve.

[tex]y=mx+b\\-19=4(-6)+b\\-19=-24+b\\b=5[/tex]

     Writing the equation:

Now we know all the information needed to write the equation.

[tex]y=mx+b\\m=4\\b=5[/tex]

Now we just fill it in the formula...

[tex]y=4x+5[/tex]

Question 3:

For a parallel equation the slope will be the same in order for them to be parallel to each other.

     Finding the y-intercept:

For the y-intercept we need to plug in what we know into this formula....[tex]y=mx+b[/tex]

We know the slope is [tex]-\frac{1}{4}[/tex] and we could use the ordered pair that they provided us with [tex](-8,6)[/tex]. The -8 is the x and the 6 will be the y. Now let's plug in and solve.

[tex]y=mx+b\\6=-\frac{1}{4}(-8)+b\\6=2+b\\b=4[/tex]

     Writing the equation:

Now we know all the information needed to write the equation.

[tex]m=-\frac{1}{4}\\b=4[/tex]

Now we just fill it in the formula...

[tex]y=-\frac{1}{4}x+4[/tex]

Answer

a)no

Step-by-step explanation:

a)12-5(0)

=12 not 0

b)12-5(-1)

=17

c)12-5x=6

-5x=6-12

x=1.2

hope it helps:)

Evaluating the function, it is found that:

a) No, since [tex]f(0) = 12[/tex], as when we replace x by 0, the value of y is 12.

b) [tex]f(-1) = 17[/tex]

c) [tex]a = \frac{6}{5}[/tex]

The function given is:

[tex]f(x) = 12 - 5x[/tex]

Item a:

f(0) is given by:

[tex]f(0) = 12 - 5(0) = 12[/tex]

So it is not true, since [tex]f(0) = 12[/tex].

Item b:

[tex]f(-1) = 12 - 5(-1) = 12 + 5 = 17[/tex]

Item c:

This is the value of x when f(x) = 6, thus:

[tex]12 - 5x = 6[/tex]

[tex]5x = 6[/tex]

[tex]x = \frac{6}{5}[/tex]

Thus:

[tex]a = \frac{6}{5}[/tex]

A similar problem is given at https://brainly.com/question/24231879

Answer:( b )i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x - 9y = -9 x x - 3y = (5  + 9) - 6 - 9) + 9 - 5

Answer:

The groomer can get 40 bottles out of the 5 gallon pail.

Step-by-step explanation:

A gallon contains 128oz (ounces)

128/16=8

8 bottles/gallon

times both sides by 5

40 bottles/5 gallons

Therefore the groomer can get 40 bottles out of the 5 gallon pail

Setting up an equation to represent the scenario, we can conclude that Ben was 3 times older than Kathy 10 years ago.

Present age :

Serting up the equation thus :

Let the number of years = x

16 - x = 3(12 - x)

16 - x = 36 - 3x

Collect like terms

-x + 3x = 36 - 16

2x = 20

x = 10

Hence, Ben was 3 tines older than Kathy 10 years ago.

Learn more : https://brainly.com/question/25625086

Answer:

r = -3

Step-by-step explanation:

Add the like terms: 8r = -24

Isolate r by dividing each side by 8: r = -24/8

Simplify: r = -3

Hope this helps

Answer:

No Solution

Step-by-step explanation:

As the two lines have the identical slope (-1/2x), that means these two lines are parallel, and therefore they have no solution.

Answer:

Its 11

Step-by-step explanation:

Jk its 2. Bro learn addition. XD

Answer:

the answer would be...

e^iπ = -1

2^57,885,161 - 1 is the largest known Mersenne prime number

2^43,112,609 - 1 is the second largest known Mersenne prime number

the greatest common divisor of any two integers which are coprime is 1 so

gcd(2^57,885,161 - 1, 2^43,112,609 - 1) =1

tan(π/4) = 1

So ((e^iπ/ gcd((2^57,885,161 - 1, 2^43,112,609 - 1))^2)

= (-1/1)^2 +1

= 1 + 1

^brainliest plz it took me awhile to type this XD^

They want to know the change in y. They have given the lines, soo count how many they went up or down.

Whatever you get, that the answer.

The y value of each point moved ___ units ____ and ____ as I moved the slider.

Answer:

A right triangle

Step-by-step explanation:

The answer is a right triangle because it has a right angle. A right angle is 90 degrees

Answer:

The approximate % increase was around 33%

Step-by-step explanation:

Divide 24 by 18 and you convert the decimal into a percent which is just multiplying it by 100

There was an increase of 33.33 percent in Miss Williamson‘s homeroom

A percentage is a minimum number or ratio that is measured by a fraction of 100.

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then multiply it with b so that we collect b items per 100 items.

Since Percentage increase in the number of students can be calculated as;

=((Final number-Initial number)/Initial Number)×100

where the Initial number of students=18 students

Final number of students=24 students

Now substituting;

((24-18)/18)×100

=(6/18)×100

=33.33% increase

Hence, there was an increase of 33.33%.

Learn more about percentages;

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The rate of change is 10.

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. The rate of change is equal to the change in y values divided by the change in the x-values.

For the given situation,

Bicycling involves  3 miles in 15 min and 7 miles in 55 min.

Here consider miles in x axis and minutes in y axis.

So, [tex](x1,y1) = (3,15)[/tex] and [tex](x2,y2)=(7,55)[/tex]

The rate of change is

⇒  [tex]\frac{y2-y1}{x2-x1}[/tex]

⇒ [tex]\frac{55-15}{7-3}[/tex]

⇒ [tex]\frac{40}{4}[/tex]

⇒ [tex]10[/tex]

Hence we can conclude that the rate of change is 10.

Learn more about rate of change here

https://brainly.com/question/1537800

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Answer:

sure can help you shoot the question

Step-by-step explanation:

You can find the least common multiple of 2 numbers by using prime factorisation to find its index notation.

Example:

6=2×3

9=3^2

So to find the LCM of these to find the LCM of these numbers, you need to take the number with the higher index notation and the remaing factor and multiply them.

Example:

LCM(6,9)=2×3^2

=18

Answer:

y = -5x-21

Step-by-step explanation:

Slope of parallel lines is the same.

To find b:

y = mx + b

Substitute the slope and the point given

-1 = -5(-4) + b

Solve for b

-1 = 20 + b

b = -21

Answer:

y = x + 3

Step-by-step explanation:

To know which of the equations represent the relationship between x and y, you need to substitute the x and y values into the equation. If when the equation is solved, the left-hand and right-hand side of the equation equal each other and hence the equation is true, then the equation must be correct in expressing the relationship between the x and y values. If not, then it is not correct.

As this question is only dealing with linear equations, we know that the gradient of the line is constant and hence the rate of change in x and y values is constant. Therefore, we can choose to substitute any of the given combinations of x and y values into the equation to obtain the correct equation. As it is easier to use smaller numbers for smaller calculations, we'll use the first combination of x = 1 and y = 4 .

Equation No. 1 : y = 3x + 1 where x = 1 , y = 4 and x = 2 , y = 5

( 4 ) = 3 ( 1 ) + 1

4 = 4

However, as this equation has a constant not equal to 1 in front of the x variable and hence a different gradient to the other equations, we will substitute the second combination of x and y values.

( 5 ) = 3 ( 2 ) + 1

5 = 6

Therefore, equation is false / incorrect.

Equation No. 2 : y = x + 1 where x = 1 , y = 4

( 4 ) = ( 1 ) + 1

4 = 2

Therefore, equation is false / incorrect.

Equation No. 3 : y = x + 3 where x = 1 , y = 4

( 4 ) = ( 1 ) + 3

4 = 4

Therefore, equation is true / correct.

Equation No. 4 : y = x - 3 where x = 1 , y = 4

( 4 ) = ( 1 ) - 3

4 = - 2

Therefore, equation is false / incorrect.

Answer: 14

Step-by-step explanation: divide

Answer:

First find slope of first line given the two points

Slope is change in y over change in x

0-1 over 5-0

Slope = -1/5

Slope of the line perpendicular to this line has a slope that is the negative reciprocal.

Slope of the new line is 5

You are given the y intercept with the first point so put these things together in the slope intercept formula

Y=5x +1

Step-by-step explanation:

Answer

Option 3

Step-by-step explanation:

70 + 5 = 75

0.9 + 0.02 = 0.92

75 + 0.92 = 75.92

Answer:

12

Step-by-step explanation:

got 100% right on edge 2020, hope this helped! <3

Answer:

its 12

Step-by-step explanation:

bc it is

Answer:

C. 20

Step-by-step explanation:

If 1 inch is 8 miles, 2.5 = 20 miles because 8 x 2 = 16 and .5 = 4 so 16+4 = 20

Answer:

I'ts B, (5,2)

Step-by-step explanation:

It's B :)

Answer:

A

Step-by-step explanation:

the equation is the second one

Answer

73

Step-by-step explanation:

Answer: go with your gutt btw C is always best option

Step-by-step explanation:

hope you got it correct

Answer:

Step 1 it says Additive inverse, that is not additive inverse. Additive inverse is the opposite of a number. There is no opposite number in the problem. And step 5 is the answer, it shouldn't be simplify. Hope that helps! :)

Answer:

step 1

Step-by-step explanation:

Answer:

a=?

a=?

a=?

Step-by-step explanation:

9514 1404 393

Answer:

See below. The "table below" refers to the second attachment.

Step-by-step explanation:

[tex]\boxed {\begin {array}{c|c|c}\underline {Binary} & \underline{Hex} & \underline{Decimal} \\ 0000 & 0 & 0 \\ 0001 & 1 & 2 \\ 0010 & 2 & 2 \\ 0011 & 3 & 3 \\ 0100 & 4 & 4 \\ 0101 & 5 & 5 \\ 0110 & 6 & 6 \\ 0111 & 7 & 7 \\ 1000 & 8 & 8 \\ 1001 & 9 & 9 \\ 1010 & A & 10 \\ 1011 & B & 11 \\ 1100 & C & 13 \\ 1101 & D & 14 \\ 1110 & E & 15 \\ 1111 & F & 16\end {array}}[/tex]