a line is perpendicular to y - 5 = -1/4(x + 8) and goes through the point (-1,2). What is the lines y-intercept?

Answers

Answer 1

Answer:

y = 4x + 6

Step-by-step explanation:

Turn the equation we are given into slope-intercept form.

y - 5 = -1/4(x + 8)

y - 5 = -1/4x - 2

y = -1/4x + 3

The slope of a perpendicular line is the opposite reciprocal of the original line.

-1/4 -> 4/1 -> 4

Find the new y-intercept using the point given.

y = 4x + b

2 = 4(-1) + b

2 = -4 + b

6 = b

Fill in everything we solved for.

y = 4x + 6

Best of Luck!


Related Questions

4. Evaluate the following expression for r= 5.
2(r2 - 8)

Answers

Answer:

The expression is equal to 4

Step-by-step explanation:

Given the expression 2(r2-8) and the equality for the variable r = 5. It is best to substitute this equality into the expression to solve for its corresponding value:

2(r2-8) =

2(2(r)-8),

2(2(5)-8),

2(10-8),

2(2),

4

The sum of three numbers is 36. The first number is two times the second number, and the second number is
four less than the third number. What are the numbers?
o (8, 12, 16)
12<8, 16)
(12, 16,8)
o (16, 8, 12)

Please help out

Answers

Answer:

o (16, 8, 12)

Step-by-step explanation:

1st number: 8*2 =16

2nd number:12-4=8

3rd number: given

Answer:

16,8,12

Step-by-step explanation:

its 16,8,12 because:

8x2=16

12-4=8

youre welcome

Which statement about the lines below is true? 4y=-16 and 3x=27

Answers

Answer:

4y=16 is true if you do the problem you can see it wont work and i simplified and got the answer

Step-by-step explanation:

The side length of the square shown is tripled.
3 cm
Which percent of increase is greater the percent of increase for the perimeter of the square or the percent of increase for the area? How
much greater?
The percent of increase for the
is greater
It is
% greater

Answers

Answer:

The percentage increase for the area is greater

It is 600% greater

Step-by-step explanation:

Here, we have a square of side length 3 cm

The area of the square is L^2 = 3^2 = 9 cm^2

Perimeter of the square = 4L = 4 * 3 = 12 cm

When we triple the length of the square, its new length becomes 3 * 3 = 9 cm

Area here will be 9 * 9 = 81 cm^2

Perimeter = 4 L = 4 * 9 = 36cm

To calculate percentage change, we use the formula;

(new value - old value)/old value * 100%

For the perimeter;

(36-12)/12 * 100% = 24/12 * 100% = 2 * 100% = 200%

For the area;

(81-9)/9 * 100% = 72/9 * 100% = 8 * 100% = 800%

The percentage increase of the area is greater

How much greater? 800% - 200% = 600%

Which values are outliers?

5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9

Answers

0.8 Outlier

1.1 Outlier

10.2 Not Outlier

10.9 Not Outlier  

can anybody help me know the Pythagorean theorem

Answers

Answer:

[tex]8^{2} +U^{2} =17^{2}[/tex]

solve the squared numbers

[tex]8^{2} =64[/tex]

[tex]17^{2} =225[/tex]

[tex]64+U^{2} =225[/tex]

subtract 64 from 289

[tex]U^{2} =225[/tex]

square root 225

[tex]U=[/tex][tex]\sqrt{225}[/tex]

simplify that

[tex]U=[/tex][tex]\sqrt{15^2}[/tex]

[tex]U= 15[/tex]

If the pth term of an A.P. is q and the qth term is p. Prove that its nth term is (p+q-n). ​

Answers

Given:

pth term of an AP = q

qth term = p

Prove:

nth term of A.P. is (p+q-n). ​

Proof:

We know that,

nth term of an AP (an) = a + (n - 1)d

Hence,

⟹ a + (p - 1)d = q

⟹ a + pd - d = q

⟹ a = q - pd + d -- equation (1)

Similarly,

⟹ a + (q - 1)d = p

Substitute the value of a from equation (1).

⟹ q - pd + d + qd - d = p

⟹ qd - pd = p - q

⟹ - d(p - q) = p - q

⟹ - d = 1

⟹ d = - 1

Substitute the value of d in equation (1).

⟹ a = q - p( - 1) + ( - 1)

⟹ a = q + p - 1

Now,

an = q + p - 1 + (n - 1)( - 1)

⟹ an = q + p - 1 - n + 1

⟹ an = p + q - n

Hence, Proved.

I hope it will help you.

Regards.

Step-by-step explanation:

ANSWER

pth term = q

a+(p−1)d=q

qth term = p

a+(q−1)d=p

Solving these equations, we get,

d=−1

a=(p+q−1)

Thus,

nth term = a+(n−1)d=(p+q−1)+(n−1)×(−1)=(p+q−n)

Which number is rational, an integer, and a real number?
A. 1.5
B.
C. There is no such nurnber.
D. -5

Answers

Answer:
1.5

Explanation:

Find all solutions to 3x2 + 2x + 1 = 0

Answers

Answer:

x = -3.5

Step-by-step explanation:

3 x 2 + 2x + 1 = 0

6 + 2x + 1 = 0

2x + 7 = 0

2x = -7

x = -7/2 = -3.5

Hope this helped! If not, please let me know! <3

Write the equation of the line that passes through the given points.
(0,4) and (5,10)

Answers

Answer: y = 6/5x + 4

Step-by-step explanation: The equation is in form y = mx + b, where m is the slope and b is the y-intercept. You already have the y-intercept, which is 4. To find the slope, use rise over run. y2 - y1 / x2 - x1 = 10-4/5-0 = 6/5.

Subtract.
(2 + 7i)-(3-8i)

Answers

Answer is -1+15i that’s your answer

if 60% people in a city like cricket 30% like football and the remaining like other games
. 50 . ​

Answers

Answer:

is that supposed to be a question

A 2×2 square is divided into four 1×1 squares. Each of the small squares is to be painted either green or red. In how many different ways can the painting be accomplished so that no green square shares its top or right side with any red square? There may be as few as zero or as many as four small green squares.

Answers

Answer:

2

Step-by-step explanation:

Let's denote all the four square by 1, 2, 3, and 4 as shown in the figure.

Each of the small squares is to be painted either green or red

The total numbers of the possible cases are:

(1) The number of cases if there is no green color square = 1 (all red)

(2) The number of cases, if there is 1 green color square = 4 as either of 4 small squares can be green (1G,2G,3G,4G).

(3) The number of cases if there is 2 green color square = 2+4=6 as

for diagonal positions: 2 which are (1G,3G), (2G,4G).for non-diagonal positions:4 which are (1G,2G), (1G,4G), (2G,3G), (3G,4G)

(4) The number of cases, if there is 3 green color square = The number of cases, if there is 1 red color square= 4 as either of 4 small squares can be red (1R,2R,3R,4R).

(5) The number of cases if there is 4 green color square = 1 (all green)

So, the total numbers of possible cases = 1+4+6+4+1=16.

Now, possible positions for which no green square shares its top or right side with any red square are the diagonal positions as mentioned in point (3), i.e (1G,3G), (2G,4G)

So, the total numbers of favorable cases = 2

Hence the total number of different ways for painting each of the small squares so that no green square shares its top or right side with any red square is 2.

I listed possibilities:

1 Green Square:

RG

RR

2 Green Squares:

RG

RG

GG

RR

3 Green Squares

GG

RG

4 Green Squares

GG

GG

0 Green Squares

RR

RR

Robert conducts an experiment to measure the temperature of a solution. Due to a defect in the apparatus, the temperature of the solution measured in each trial is 5°F more or less than the theoretical temperature of 11°F of the solution.

The following absolute value equation can be used to determine the temperature of the solution measured by Robert:

|x − 11| = 5.

Here, x represents the measured temperature of the solution in degrees Fahrenheit.

Based on the above information, what is the temperature of the solution as measured by Robert?

A.
The temperature of the solution measured by Robert is 5°F or 6°F.
B.
The temperature of the solution measured by Robert is -6°F or 6°F.
C.
The temperature of the solution measured by Robert is -6°F or -16°F.
D.
The temperature of the solution measured by Robert is 16°F or 6°F.

Answers

the answer to this question is d

How many different four-digit alarm codes can be formed for a house alarm if
digits cannot be repeated?

Answers

Answer:

about 3000

Step-by-step explanation:

Which pairs of numbers have a greatest common factor of 9

Answers

Answer:

81 and 72

Step-by-step explanation:

Answer:

81 and 72

Step-by-step explanation:

A. The point (3.5, 210) is on the graph. Explain what this means in terms of the car.


B. Is the point (1, 60) on this graph? Yes or no. Explain how you know

Answers

Answer/Step-by-step explanation:

A. The point (3.5, 210) on the graph means the car travelled a distance of 210 miles, at constant speed, for 3.5 hours.

B. To find out if the point (1, 60) is on the line, first, calculate the slope of the line (rate of change), and then find the rate of change between the point (1, 60) and the point (3.5, 210). If you get the same value as the slope of the line, it definitely means (1, 60) is a point of the graph.

Calculating slope of the line using (3.5, 210) and (5, 300):

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{300 - 210}{5 - 3.5} [/tex]

[tex] slope(m) = \frac{90}{1.5} [/tex]

[tex] slope(m) = 60 [/tex]

Calculating the rate of change (slope) between (1, 60) and (3.5, 210):

[tex] = \frac{y_2 - y_1}{x_2 - x_1} = \frac{210 - 60}{3.5 - 1} [/tex]

[tex] = \frac{150}{2.5} = 60 [/tex]

Rate of change (slope) = 60

Since the average rate of change between (1, 60) and the given point on the graph, (3.5, 210), is the same as the slope of the graph, therefore the point (1, 60) is a point on the graph also.

The answer is, YES.

A train traveled at a constant speed
for six hours and traveled a distance of
408 miles. What is the best estimate
of the number of miles the train could
travel in 2.5 hours?

Answers

Answer:

170

Step-by-step explanation:

you have to set up a proportion and cross multiply.

[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]

that would cross multiply to

[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]

which would simplify to

[tex]1020 = 6x[/tex]

then, you isolate x by dividing 6 from both sides to get the final answer of

[tex]170 \: miles = x[/tex]

HELPPP me pleaseeeeeeeeeee

Answers

Answer: Y=104

Step-by-step explanation: Angle 1 is 2x which means it is 76, 180-76 gives you 104

Graph ​3x−y=6​.

Use the line tool and select two points on the line.

Answers

Answer:

Plot point -6 and 2 and just keep making the line straight off the graph  I think this should help

Step-by-step explanation:

ASAP PLZ HELP
A car traveling 65 kilometers per hour travels 195 kilometers. How long did it take the care to travel that distance at that speed?

Answers

Answer:hope it helps,

Step-by-step explanation:

Write two hundred twenty-two and six thousand five hundred seventeen ten-thousandths as a decimal number.

Answers

Answer:

222.617

Step-by-step explanation:

````````````````````````````````````````````````````````````````````````````````````````````

Answers

Answer:

14 miles

Step-by-step explanation:

make it into an equation 1.50x+3=24 then solve

Putang ina mo gago ka

(x - 3)? > -3(x + 2) for x = 3

Answers

Answer:

The Left side (0) is greater then the right side (-15)

Step-by-step explanation:

(x - 3) is greater than -3(3+2)

I need this please fast!!!!!

Answers

Answer:

∠BEC = 54°

Step-by-step explanation:

ED and EA are opposite rays, which means that they form a straight angle.

Straight angle = 180°

Which means that,

∠AEB + ∠BEC +∠DEC = ∠AED

This is the equation we are going to use,

We also know that ∠CED = 72°

We know that BE bisects ∠AEC

Know, we know that ∠AEB =  (7x - 2)°

That means ∠BEC = (7x - 2)°  - This is because ∠AEB = ∠BEC

=>(7x - 2)° + (7x - 2)° + 72° = 180°

=> (14x - 4)° + 72° = 180°

=> (14x - 4)° = 180° - 72°

=> (14x - 4)° = 108°

=> 14x = 108° + 4°

=> 14x = 112°

=> x = (112 / 14)°

=> x = 8°

So, know we can find ∠BEC

(7x - 2)°

=> (7 * 8 - 2)°

=> (56 - 2)°

=> 54°

If my answer helped, kindly mark me as the Brainliest!!

Thank You!!

Kay needs to fix part of her fence.She can buy 6 feet of fencing for $32.00 at a fencing store or 10 feet of fencing for $52.50 at a home store.She visits another store that sells 8 feet of fencing for a certain cost.The cost per foot is between that at the fencing store and the home store.How much the store charge for 8 feet of fencing?

Answers

Answer

42.66

Step-by-step explanation:

each foot is 5.33 so 5.33 x 8 is 42.66

What is the value of 120?

Answers

It would be -1/2 I think
the answer is -1/2. have a good day!

simplify show your work

Answers

4(1-3x)+7x-8

4-12x+7x-8

-12x+7x+4-8

-5x-4

The answer is -5x-4

Could you give me the brainlist?

Which word best describes the element in box number 2?
a Brittle
b. Gas
С Semiconductor
d. Shiny

Answers

the correct answer is c. hope this helped

What is the coefficient of the term below?
– 5x²yt
Enterlu
-

Answers

Answer:

The coefficient is: *-5*

in the -5x.

Step-by-step explanation:

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