The points (-7, -1) and (r, 1) lie on a line with slope 1/4
Find the missing coordinater.
r =

Answers

Answer 1

Answer:

r = 1

Step-by-step explanation:

Find the missing x-coordinate r.

Use the point-slope formula y - k = m(x - h).  We are given the point (-7, -1) on the line and the slope of the line 1/4, and so this general formula becomes

y + 1 = (1/4)(x + 7)

Now substitute the coordinates of the other point (r, 1) to solve for r:

1 + 1 = (1/4)(r + 7)

Multiplying both sides by 4 eliminates the fractional coefficient:

8 = r + 7

It is readily apparent that r must be 1.

Check:  If r = 1, then (r, 1) becomes (1, 1).  use the point-slope formula again, this time to see if we are correctly predicting the r value 1:

y + 1 = (1/4)(x + 7)  becomes 1 + 1 = (1/4)(r + 7), or

2 = (1/4)(r + 7).  Multiplying both sides by 4, we get 8 = r + 7, and so r = 1.


Related Questions

Can you please help me find the volume of this shape ?

Answers

Answer:

The answer is 1710

Step-by-step explanation:

To find the volume of a shape, multiply the length by width by height.

V = LxWxH

Answer:

810in^3

Step-by-step explanation:

(6*19)/2 = 54

54*15 = 810

Monica worked 3.5 hours and is paid $10 per hour. How much did she make in 3.5 hours?

Answers

Answer:

She would make $35.

Step-by-step explanation:

If you do 10 x 3.5, you will get the answer of $35.

Answer:

$30

Step-by-step explanation:

She would be getting paid by the HOUR, and she has worked 3.5 hours. If she gets paid every HOUR, that means that she would be paid three times when working 3.5 hours. The answer would be $30.

The person who wrote the question might want $35 dollars as the answer, but logically the answer should be $30.

I'm very confused on what the answer to this one is​

Answers

Answer:

(-3,1.5) (0,3) (3'3)

Step-by-step explanation:

multiply all the coordinates by 1/2

P (-6, 3) Q(0, 6) R (6,6)

Today, the price of a new cell phone is $129.
In 2000, the price of a similar cell phone was $240.
What is the percent of change in the price of a cell phone from 2000 to today? Round to the nearest whole percent.

Answers

Answer:

54%

Step-by-step explanation:

129/240 =  0.5375  (divided to find the % change)

0.5375 * 100 (to convert decimal to percent form)

53.7 which is rounded to 54 percent (I needed to round it to the nearest whole percent number)

Evaluate the summation from n equals 1 to infinity of the quotient of 3 and 2 raised the quantity n minus 1 power

Answers

Answer:

3*∑ (1/2)^n = 6

Step-by-step explanation:

We have the summation from n = 1 to n = ∞, for:

∑ 3/(2)^(n - 1)

We know that the summation between k = 0, and k = N - 1 for:

∑ r^k = (1 - r^N)/(1 - r)

if we have the summation between k = 0 and k = ∞ - 1 = ∞

(here we used that ∞ is really big, then ∞ - 1 = ∞)

In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.

Then if we assume that 0 < r < 1 we can write:

∑ r^k =  1/(1 - r)

In our case, we can rewrite our summation as:

3*∑ (1/2)^n

for n = 0 to  n = ∞

You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)

Then we have r = (1/2) which is clearly smaller than 1.

then (1/2)

Then this summation is equal to:

3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6

3*∑ (1/2)^n = 6

PLEASE HELP ME :)))Micheal is making scale drawings of rectangular rooms using a scale of 1in to 1 1/2 feet

Answers

Answer:

a) 256 ft^2 No

b) 150 ft^2 Yes

c) 300 ft^2 NO

d) 192 ft^2 Yes

w=8.5 in

l=11 in

A=w•l

A=8.5•11=93.5 in^2

Scale:

1in:1.5 ft

1in^2:2.25 ft^2

1in ^2. 2.25ft^2

93.5 in^2. Xft^2

X=2.25•93.5

X=210.375

Step-by-step explanation:

The required answers are below the scale drawings for each of these rooms:

a. 16 feet by 16 feet: No

b. 10 feet by 15 feet: es

c. 15 feet by 20 feet: NO

d. 12 feet by 16 feet: Yes

What is a scale image?

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

a. 16 feet by 16 feet:

The width of the room on the scale drawing will be 16/1.5 = 10.67 inches, and the length will also be 10.67 inches. Since both dimensions are greater than the width and length of the paper, the scale drawing will not fit on one piece of paper.

Answer: No.

b. 10 feet by 15 feet:

The width of the room on the scale drawing will be 10/1.5 = 6.67 inches, and the length will be 15/1.5 = 10 inches. The length dimension of the scale drawing fits on the paper, Therefore, the scale drawing will fit on one piece of paper.

Answer: Yes.

c. 15 feet by 20 feet:

The width of the room on the scale drawing will be 15/1.5 = 10 inches, and the length will be 20/1.5 = 13.33 inches. Both dimensions are greater than the width and length of the paper, so the scale drawing will not fit on one piece of paper.

Answer: Not.

d. 12 feet by 16 feet:

The width of the room on the scale drawing will be 12/1.5 = 8 inches, and the length will be 16/1.5 = 10.67 inches. Both dimensions are less than the width and length of the paper, so the scale drawing will fit on one piece of paper.

Answer: Yes.

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Two different functions are shown below.


1st function:


2nd function: y=3x

Which of the following statements is true?
Both functions have a positive slope
Both functions have a negative slope
Both Functions Are Proportional

Answers

Answer:

I think it's C if not D, but more likely C. Hope this helps, sorry if it doesn't.

Step-by-step explanation:

The afternoon crew at Yummy Yummy Subbys can make a submarine sandwich once every 45 seconds. The evening crew can only make a submarine sandwich once every 50 seconds. If both crews work together, how many seconds will it take them to make 38 submarine sandwiches?

Answers

Answer: 900

Step-by-step explanation:

The number of seconds it will take both the crew together to make 38 sandwiches is 900.

What is LCM?

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

The time taken by the afternoon crew to make a sandwich is 45 seconds. The time taken by the evening crew to make a sandwich is 50 seconds. Taking the LCM of the timing of the two crew, to know at what time they both will finish making a sandwich together.

LCM of 45 and 50 is 450.

Therefore, the number of sandwiches made by the afternoon crew in 450 seconds is 10, while the number of sandwiches that will be made by the evening crew is 9. Thus, in a time period of 450 seconds, both crews together will make 19 sandwiches.

Now, since it takes 450 seconds to make 19 sandwiches the time it will take to make double the number of sandwiches therefore, 38 sandwiches will also be double.

Hence, the number of seconds it will take both the crew together to make 38 sandwiches is 900.

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A kite is flying 76 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 589. Find the length of the string. Round your answer to the
nearest tenth

Answers

Answer:

Answer: The length of string from kite to the ground is 111.5 feetStep-by-step explanation:Given ... of the ground, and its string is pulled tout. The angle of elevation of the kite is 43. Find the length of the string. Round your answer to the ... The height from the ground at which kite is flying = BC = h = 76 feet.

Step-by-step explanation:

help please I gotta get my grade up!​

Answers

First step: you got to add y to both sides in the math problem Ex: 15x - y + y  < 12 + y

Second step: simplify 15x < 12 + y

Third Step: This you got to divide both sides by 15 like this: 15x/15 < 12/15 + y/15

Last and Fourth step:  Simplify and thats your answer  x < 12 + y/15

One half of one one hundredth is

Answers

Answer:

1/2 of 1/100 = 1/200

Step-by-step explanation:

Help meeeeeee no links plz you are very kind I really appreciate people like you.

Answers

Answer:

225 ft²

Steps:

(20×10)+5² = 200+25 = 225 ft²

Answer: 225ft^2

Step-by-step explanation:

pizza HELP me this is really important answer for both questions
3. In a given city, the number of rainy days and the number of sunny days are recorded.
A. If 15% of days are sunny and the rest are rainy, what is the ratio of sunny days to rainy days? B. If 50% of days are sunny and 50% of days are rainy, what is the ratio of sunny days to rainy days?​

Answers

Answer:

i think the ratio for the first is 1:5 and the other is 1:1

Step-by-step explanation:

have a nice day

Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x^2+3x-8? 1.99 2.00

Answers

Answer:

1.39

Step-by-step explanation:

Given the quadratic equation :

2x^2+3x-8 = 0

We could apply the quadratic equation formula :

a = 2 ; b = 3, c = - 8

The formula is stated as :

-b±sqrt(b² - 4ac)/2a

To save computation tune, we could use a calculator :

The roots are : - 2.886 ; 1.386

The positive solution rounded to the nearest hundredth is : 1.39

please help i’ll give brainliest if you help thanks

Answers

Answer:

84

Step-by-step explanation:

What I did was simple. I just plugged it into my calculator and let it get to work. If you don't have a calculator, use your phone or computer. There should be calculators on both of these.

Please let me know if you need any more help. Hope this helps!

What is 1% of 4,935 ?
O A. 0.04935
O B. 0.4935
O C. 4.935
D. 49.35
E. 493.5

Answers

Answer:

D. 49.35

Step-by-step explanation:

[tex]\frac{4935}{100 X 100}[/tex] X 100 = 49.35

A 25 foot ladder and a 10 foot ladder are leaning against a building at the same angle,
and the base of the 25 foot ladder is 7.5 feet from the building. How far is the base of
the 10 foot ladder from the building?

Answers

Answer:

33.33 feet

Step-by-step explanation:

First you want to divide 25 to 7.5 so that you can find out how far the ladder is if it was a foot-long your answer should be 3.33. Then you want to multiply the 3.33 to 10 and the answer would be 33.33

Two number cubes are rolled.


What is the probability that the first lands on an odd number and the second lands on an even number?


Enter you answer, as a fraction in simplified form, in the box

Answers

Answer:

1/4

Step-by-step explanation:

Assuming the number cube is a six-faced die, you have

1 2 3 4 5 6

three odd numbers, and three even numbers. Therefore, the chance of it landing on an odd number or even number is 3/6, which equals 1/2. That means you have a 50% chance to get an odd number, or an even number.

So, you have two die. Both have a 50/50 chance of getting an even or odd number. So what's the chance of one landing on an odd number, and the other landing on an even number?

You would have a 25% chance for an even and then an even numberYou would have a 25% chance for an odd and then an odd numberYou would have a 25% chance for an even and then an odd numberYou would have a 25% chance for an odd and then an even number.

25% as a simplified fraction is 1/4. Therefore, 1/4 is your answer.

Answer:

1/4

Step-by-step explanation:

You want to frost a 13 in. by 9 in. cake that you just baked when you notice your little brother ate a piece right out of the middle. What area of cake is left to be frosted if he ate a 2 in. by 2 in. piece? no links pls :) thanks will give brainliest

Answers

Answer:

113 inches

Step-by-step explanation:

13 times 9 is 117 inches (this is the area for the whole cake)

2 times 2 is 4 (this is just the middle)

But since the brother ate the middle you will have to subtract the area of the middle piece from the whole area.

117-4 is 113 so the area now is 113 inches

How many triangles can be constructed with side lengths of 4, 8, and 13?

A. 0
B. 1
C. More than 1

Answers

Answer:

yeah i dont know i want my points xd 494 4944

Step-by-step explanation:

You go to dinner with your family. The bill before tax is $60.00. How much is your bill when 7.25% tax added on?

Answers

$60*0.0725=4.35
$60.00+$4.35=$64.35

At 100°F, a certain Insect chirps at a rate of 97 times per minute, and at 102°F, they chirp 111 times per minute. Write an equation in slope-intercept form that represents the situation.​

Answers

Answer:

y = 7x - 603

Step-by-step explanation:

We start by determining the slope:

m = y2 - y1/x2 - x1 = 111 - 97/102 - 100 = 14/2 = 7,

Now we substitute the slope into the slope-intercept equation y  = mx + b, solving for the y-intercept [b]:

111 = 7(102) + b,

b = -603

Equation: y = 7x - 603

hi please help i’ll give brainliest please

Answers

Answer:

x = 7

Step-by-step explanation:

x + 8 = 15

7 + 8 = 15

15 = 15

LHS = RHS

Solve: 2/3x = 18

A.) x = 12
B.) x = 27
C.) x = 16
D.) x = 3

Answers

Answer:

option b 27 is the answer

Solve for x
x+4=−2

help please.​

Answers

Answer:

x=-6

Step-by-step explanation:

The only thing to do is to transpose 4 and it will become negative,so-2-4=-6

Answer:

X = -6

Step-by-step explanation:

The equation is x + 4 = -2. Make the (+4) to cross over the equal sign which makes a new equation :- x = -2 - 4

Work out the new equation:-

x = -2 - 4

NOTE: -2 - 4 = -6

Therefore x = -6

Use the table. What inference can you make by comparing the measures of variability? Use the drop-down menus to explain your answer.

Finish Times of 30 Runners
in the 100-meter Dash
Mean MAD
Last Year 16.2s 1.2
This Year 14.7s 1.9
The is greater for this year’s 100-meter dash, which suggests that all 30 students equally.

Answers

Answer:

The first one is mean absolute deviation and the second one is did not improve

Step-by-step explanation:

I took the test

The MAD is greater for this year’s 100-meter dash, which suggests that all 30 students did not improve equally.

What is Mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

The given table is:

                  Mean     MAD

Last Year    16.2 s     1.2

This Year    14.7 s      1.9

Looking at this table we can see that this year, the meantime is smaller than the one from last year, so the runners are faster on average.

The mean absolute deviation is bigger, but the change in the mean is bigger.

difference of the mean   16.2 - 14.7 = 1.5

difference of the MAD  1.9 - 1.2 = 0.7

This means that the average speed of the runners increased since last year,

and the fact that the MAD increased means that not all the runners increased their speed at the same rate, so now the speeds of the different runners are not as alike as last year.

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use mathematical induction to prove the statement is true for all positive integers n. 6 + 12 + 18 + ... + 6n = 3n(n + 1)​

Answers

Answer:

Step-by-step explanation:

6+12+18+....6n=3n(n+1)

Proof by induction

True for n = 1

6 = 3(1)(1+1)

Assume true for n = k

6+12+18+....6k=3k(k+1)

Then show that

6+12+18+....6(k+1)= 3(k+1)(k+1+1)

We add 6(k+1) to both sides of

6+12+18+....6k=3k(k+1)

6+12+18+....6k +6(k+1) =3k(k+1) + 6(k+1)

= 3(k+1)(k + 2)

= 3(k+1)(k+1+1)

So true for n = k+1

Since true for n=1 it is true for n=2,3,...

Thus true for all natural numbers n by mathematical induction

If you can answer BOTH CORRECTLY you'll get brainliest

Answers

Answer:

Sorry the pictures re not clear. Could u zoom in? :)

the first one: 18
second one: the last option

Find the equation of the line below.
(3,1)

Answers

Answer:

B

Step-by-step explanation:

the answer is B.the equation of the line

please tell me what this answer is

Answers

Please like this I need pts
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