Points (-2, 3) and (x, 0) have a slope of 1/5.Find the x coordinate of the point.
Answers
Answer:
x = -17
Step-by-step explanation:
y - y1 = m(x - x1)
y - 3 = 1/5(x - (-2))
y - 3 = 1/5(x + 2)
y - 3 = 1/5x + 0.4
y = 1/5x + 0.4 + 3
y = 1/5x + 3.4
Now we plug in y as 0 to find x
y = 1/5x + 3.4
(0) = 1/5x + 3.4
-3.4 = 1/5x + 3.4 - 3.4
-3.4 = 1/5x times 5
-3.4 times 5 = x
-17 = x
Answer:
x = -17 (Verified Answer) ✅Step-by-step explanation:
If we know the slope, we can solve for an unknown coordinate. First, let's review how to calculate slope.
Slope = Rise/Run (Change in y/Change in x)
In this case, we know the slope, so we will write out the slope formula. We will use the substitution method to solve this.
m = rise/run
rise = y2- y1 substituting ----> 3 - 0 = 3
run = x2 - x1 substituting ----> -2 - x = run
Now, we can return to the slope formula, as we now have enough information to solve.
1/5 = 3/R
To solve, we simply need to find the equivalent fraction of 1/5. We will use a proportion.
1R = 5 x 3
R = 15
Now that we know R, we can substitute it into the equation for run.
So, we now have:
15 = -2 - x
Subtracting -2 from both sides, gives us x = -17.
Finally, we must check our answer to make sure we are getting the correct slope when we calculate.
m = (3 - 0)/(-2 - -17)
m = 3/15 OR 1/5
Since. this matches the original slope we were given, we can be sure the answer is correct.
Related Questions
A mathematical model that estimates the average atmospheric concentration of carbon dioxide, C, in parts per million, x years after 1950 is
Answers
Answer:
C = 306 +1.3x
Step-by-step explanation:
In 1950 the average atmospheric concentration of carbon dioxide was 306 parts per million with an estimated increase of 1.3 parts per million every single year. Therefore we can use these numbers to create the following mathematical model.
C = 306 +1.3x
This model multiplies the number of years after 1950 (x) by the estimated carbon dioxide increase per year in parts per million, and finally adds the initial atmospheric concentration of carbon dioxide from 1950 to calculate the current atmospheric concentration of carbon dioxide
PLS HELP ME!!
What is x + 9 < 4x
Answers
Answer:
x>3
Step-by-step explanation:
subtract x from both sides
simplify 4x-x to 3x
9>3x
divide both sides by 3
9/3 <x
simplify 9/3
3<x
x>3
Find an expression for the nth term of the arithmetic sequence.
2, 8, 14, 20, 26, . . .
Answers
Answer:
44
Step-by-step explanation:
Math boi
Graham IS able to add these equations together so that one variable is eliminated.
x+2y=7x+2y=7
4+3y=34+3y=3
True
False
Answers
Answer:
It's false
Step-by-step explanation:
PLEASE GIVE ME AS BRAINLIEST
statement: Graham IS able to add these equations together so that one variable is eliminated
answer: false
Write each mixed number as a percent: 7 3/10
Answers
Answer:
730%
Step-by-step explanation:
This is urgent please help!
Answers
Answer:
try the last one
Step-by-step explanation:
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.
When m∠3 = m∠B
AB || DC
AD || BC
None
Answers
Answer:
I don't know the answer but I know it is not AB II DC because I did this assignment and got this wrong. This is just to narrow your answer choices down, sorry if this isn't helpful.
Step-by-step explanation:
The line AD is parallel to the line BC. Therefore, option B is the correct answer.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Given that, m∠3 = m∠B
The corresponding angles definition tells us that when two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.
Here, m∠3 and m∠B are corresponding angles and they are equal in measure.
So, AD || BC
Therefore, option B is the correct answer.
To learn more about the corresponding angles visit:
https://brainly.com/question/1597341.
#SPJ7
SOMEONE PLEASE GIVE ANSWERS TO THE FOLLOWING QUESTIONS (dont say figure it out on your own to please) IN GIVING BRAINIEST!!
Answers
Okay so 16 is 2.3 and 17 is 0.0492 18 is 0.4 19 is 420 20 is 0.605 the last one is 6
Find the distance between point N and point M.
-N(-1,2)
*M(-4, 4)
square root of 45
square root of 13
square root of 9
square root of 61
Answers
Answer:
(-2.5, 3)
Step-by-step explanation:
I really need help .
Answers
3 kg of beef costs £51
Max buys 2 kg of beef.
Work out how much Max pays
Answers
Find the rate:
51 ÷ 3 = £17
1 kg of beef = £17
2 kg of beef = £17 × 2 = £34
2 kg beef = £34
Joy is going to a sub shop for a sandwich. At the restaurant, she can choose either a roll (R), bread (B), or a wrap
(W). There are two meat choices, ham (H) and turkey (T), and 2 kinds of cheese, Swiss (S) and American (A)
Before she goes, Joy wants to make a list of her choices. If she chooses one item from each selection, which will be
part of her list?
O RBW, RBH RBT, RBS, RBA
ORSA, BSA, RHT, BHT, HSA
RH, RT, BH, BT, WH
O RHS, RHA, RTS, RTA, BHS
Answers
Answer:
The answer is D
Step-by-step explanation:
Answer:
RHS, RHA, RTS, RTA, BHS
Step-by-step explanation:
Seats in commercial airplanes are designed so most passengers are comfortably seated. To design an airplane, an engineer at Bombardier Aerospace uses the normally distributed height of Québec adults, which has a mean of 170 cm and a standard deviation of 12 cm
a. The designer will design the seating so 98% of passengers are comfortable. What is the height of someone who is taller than 98% of all other Québec adults?
b. The airplane can hold up to 110 passengers. What is the probability that the average height of passengers is smaller than 100 or larger than 190 cm?
c. If we market this airplane to the American market for which the mean height of adult Americans is 185 cm with a standard deviations of 16 cm, what proportion of American adults would be taller than the height found in (a)? Would this be a problem for Bombardier when it tries to sell the plane to American airline companies?
Answers
Answer:
x-2-y/l=45
Step-by-step explanation:
the circle is 5.5yd what is the circumference of half the circle
Answers
Answer:
You did not include enough information. What part of the circle is 5.5 yards? The diameter? radius?
Step-by-step explanation:
if 5.5 is radius then the formula is 2 x pi x 5.5
if 5.5 is diameter then the formula is pi x 5.5
Simplify the expression. 16 x 4 -4
Answers
Answer:
The answer is 60
Step-by-step explanation:
16 x 4 - 4
64 - 4
60
Hope this helped!
PLS HELP ASAP WILL MARK BRAINLIEST PLS DONT ANSWER IF NOT SURE
Answers
Step-by-step explanation:
6.7 > 3.5 > -3 1/4 > -15/3
hope that helps
Answer:
6.7, - (-3.5), -3 1/4, -15/3
question is in png pls help !
Answers
Answer:
10
Step-by-step explanation:
has 3⁴+3²= 9 × ------
9× 10 = 90
The cost of a hotel room during Lacy’s trip is $325. The hotel room tax in the city she is in is 10.5%. What is the total cost of the hotel room?
Answers
Answer:
$359.13
Step-by-step explanation:
To find the total cost of her room we have to add the cost of the tax to the cost of the room.
To find the value of the tax, multiply the value of the room(325) by 10.5%:
Convert 10.5% to decimal form: 0.105
0.105 * 325 = 34.125
34.125 rounds up to 34.13.
Now, add the cost of the tax to the room's cost:
34.13 + 325 = 359.13
The total cost of the hotel room is $359.13.
The cost of a hotel room during Lacy’s trip is $325 and the hotel room tax in the city she is in is 10.5%, so the total cost of the hotel room will be $ 359.13.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that the cost of a hotel room during Lacy’s trip is $325. The hotel room tax in the city she is in is 10.5%.
The total cost of the hotel room is,
Total cost = hotel room tax + cost of a hotel room
Total cost = 10.5% of $325 + $325
Total cost = $ 34.12 + $325
Total cost = $ 359.13
Thus, the cost of a hotel room during Lacy’s trip is $325, and the hotel room tax in the city she is in is 10.5%, so the total cost of the hotel room will be $ 359.13.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
57% is greater than, less than, or equal to 1
Answers
Answer:
Less than
Step-by-step explanation:
Answer:
57% is less than
Step-by-step explanation:
To convert from percentages to counting numbers, we move the decimal in the percentage two places behind its original point.
57.0% ---> .57
.57 < 1
PLEASEE HELPP WILL BRAINLIST find the output when x = 0
Answers
Answer:
output: 8
Step-by-step explanation:
since x=0 y would equal 8 which is the output.
Given: Log 2=a, log 7=b. Find log 56
Answers
Answer:
log(56)=log(7⋅8)=log(7)+log(8)=log(7)+log(23)=log(7)+3log(2)=b+3a
Step-by-step explanation:
Answer:
b+3a
Step-by-step explanation:
log (56)=log (7x8)
write the equation of a line perpendicular to y=7 that passes through (2,13)
Answers
Jayne uses long division to convert a rational number
to a decimal. Which of the following statements cannot be true?
00:00
The decimal form of terminates in zeros.
00:00
The decimal form of eventually repeats.
00:00
The decimal form of is a whole number.
The decimal form of
never repeats or terminates
Answers
Answer:
Answer: The decimal form of a/b never repeats or terminates.
Step-by-step explanation:
Fractions such as " a/b " can be ratios so they don't terminate.
what is the specified term of 3 6 12 find a7
Answers
Answer:
a₇ = 192
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence.
r = 6 ÷ 3 = 12 ÷ 6 = 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 3 and r = 2 , thus
a₇ = 3 × [tex]2^{6}[/tex] = 3 × 64 = 192
Question 2 options: A consumer advocate group selects a random sample of 205 snack foods and finds that 174 of them contain more fat grams than what is indicated in the snack's nutritional information. Create a 90% confidence interval for the population proportion for snack foods that contain more fat grams that what is indicated in the snack's nutritional information.
Answers
Answer:
156 snack foods.
Step-by-step explanation:
205 - 174 = 31
To find 90% of 174, multiply 174 by 0.90.
174 x 0.90 = 156
The answer is 156 snack foods.
please help me!!!!!!!!!!
Answers
Answer:
HFHBEHFBHEHHEHHHHH
Step-by-step explanation:
Which expression is equivalent to 3x – 5?
2x – 4 – 1 + x
–x + x + x – 1 – 1 – 1 – 1 – 1
–5 – 3x
3x + 5
Answers
the equation 2x-4-1+x would be the answer
Because 2x+x = 3x and -4-1 = 5, the result would be 3x-5
Answer:
2x-4-1+x
Step-by-step explanation:
Just answerd the quistion
A pack of gatorade states that 4 tablespoons of mixture should be added for every 7 cups of water. If the container holds 56 cups of water in it, how much should be added to the water?
Answers
Then you could cross multiply and get 56:32
Plz mark brainliest, trying to get virtuoso
Please answer for me domain and range
Answers
What fraction is equal to 75% of 1/2?
Answers
Answer:
4/8
Step-by-step explanation:
To do this, multiply the whole fraction by 4/4 (which is like multiplying by 1/1). So 1/2 x 4/4 becomes 4/8 :)
Answer:
3/8 i think
Step-by-step explanation:
Try changing the top of the fraction to something divisible by 4, like 4 for example.
To do this, multiply the whole fraction by 4/4 (which is like multiplying by 1/1).
So 1/2 x 4/4 becomes 4/8.
if you consider each 1/8 to be 25% and 75÷3 equals 25+25+25:
So, 75% of 4/8 is 3/8.
Another quick way is to just multiply 1/2 by 3/4 (since you know 3/4 equals 75% {think 75/100 reduced is 3/4}) and you get 3/8 as well