Which option correctly shows how this formula can be rearranged to isolate x^2?
Options in picture.
Answers
Answer:
A
Step-by-step explanation:
We have:
[tex]\displaystyle m=\frac{x_1-x_2}{y_1-y_2}[/tex]
And we want to isolate x₂.
So, let’s first remove the denominator by multiplying both sides by it:
[tex]\displaystyle m(y_1-y_2)=\frac{x_1-x_2}{y_1-y_2}(y_1-y_2)[/tex]
The right side will cancel. This will leave:
[tex]\displaystyle m(y_1-y_2)=x_1-x_2[/tex]
Now, we can subtract x₁ from both sides. So:
[tex]\displaystyle m(y_1-y_2)-x_1=-x_2[/tex]
Finally, we will multiply both sides by -1. So:
[tex]\displaystyle x_2=-m(y_1-y_2)+x_1[/tex]
Hence, our answer is A.
Related Questions
HELP!! ANSWER FIND THE DOMAIN AND RANGE
Answers
Answer:
The 3rd option
Step-by-step explanation:
Lmk if you need me to explain
A 7 inch candle burns at a rate of 2 inches per hour. Which equation represents the
relationship between y, the height of the candle, and x, the number of hours the
candle burns?
Answers
Answer:
b
Step-by-step explanation:
Michael spends a half hour adding water to his pool part of the time at a rate of 15 gallons per minute and the rest of the time at a rate of 9 gallons per minute. Let t be the time in minutes that he adds water at the faster rate write an algebraic expression to represent the total number of water added to the pool
Answers
Answer:
24t + 270 gallons
Step-by-step explanation:
Given that :
Addition rate 1 = 15 gallons per minute
Addition rate 2 = 9 gallons per minute
Total time spent adding water = half an hour = 30 minutes = 0.5 hour
Time spent adding water at faster rate = t
Time spent addition water at slower rate = (30 - t)
Total number of water added to the pool :
Amount of water added = addition rate * time
Hence,
Amount of water added at faster rate :
(15 gal / min) * t = 15t gallons
Amount added at slower rate :
(9 gal / min) * (30 - t) = (270 - 9t) gallons
Total amount of water added to the pool:
15t gallons + (270 - 9t)gallons
15t + 270 + 9t
24t + 270 gallons
Nathan drinks 25 cups of coffee over 5 weeks. How many cups of coffee will Nathan drink in 3 weeks?
Answers
Answer: 15
Step-by-step explanation: 5, 10, 15, 20, 25
Answer:
15 cups of coffee in 3 weeks
Step-by-step explanation:
every week Nathan drinks 5 coffees because if we were to do 25 divided by 5 we get 5, and 5 x 5 is 25, so if we did 5 x 3 we would get 15. the 3 represents the amount of weeks.
Derek made 15 baskets. This was triple the number of baskets he made on Saturday
Which equation can be used to find, x, the number of baskets Derek made on Saturday?
A) x-3 = 15
B) x/3 = 15 (the x is in fraction form x over three just so u know)
C) x+3 = 15
D) 3x = 15
Answers
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The equation can be used to find, x, the number of baskets Derek made on Saturday.
3x = 15
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of baskets made = 15
This was triple the number of baskets he made on Saturday.
This means,
3x = 15
Number of baskets made on Saturday = x
Now,
3x = 15
Divide both sides by 3.
x = 5
The number of baskets made on Saturday is 5.
Thus,
The equation can be used to find, x, the number of baskets Derek made on Saturday.
3x = 15
Option D is the correct answer.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
Find the value of 4x-6y when x=3 and y=-2
Answers
Answer:24
Step-by-step explanation: 4(3)= 12. -6(-2)= 12 Add them, equals 24
4x-6y
4(3)-6(-2)
12+12=24
Question in the photo.
Answers:
A.) ASA
B.) SSS
C.) SAS
D.) AA
Answers
Answer: I think it might be sss or sas
Step-by-step explanation:
Answer:
I think AAA is the answer because similarity is mostly proved by AAA axiom
Which of these graphs is the solution set for the equation y = -4?
Answers
Answer:A
Step-by-step explanation:
You are trying to find the Y-Intercept. So because there is no slope it is the Y-int.Also hope this is correct, sorry if it is wrong.
Change each radian measure to degree measure
Answers
Answer:
13)60°
14)90°
15)-270°
16)-180°
17)30°
18)150°
19)120°
20)300°
21)210°
22)-315°
23)450°
24)720°
25)-1260
26)-810°
27)45°
28)135°
29)-300°
30)15°
31)1170°
32)-240°
Step-by-step explanation:
Rita bought 14 yards of fabric for $73.50. If the cost is proportional to the yardage, what is the constant of proportionality?
A.
$5.05 per yard
B.
$5.20 per yard
C.
$5.15 per yard
D.
$5.25 per yard
Answers
A formula for finding the perimeter of a rectangle is P=2L +2W . if you know the perimeter (P) and the length (L) of a rectangle, which formula can you use to find the width (W)?
Answers
P=2L+2W
We will just switch the unknowns around. To find width (W), we must isolate it in the equation by moving 2L over to the other side:
P-2L=2W
(P-2L)/2=W
W=(P-2L)/2
There you go!!
If this is helpful, please mark me brainliest. :)
Henry left for the lake in the morning and it was 78°F.
When he arrived at the lake the temperature had increased
7° and by lunch it increased another 5°. What is the
temperature when Henry was eating lunch?
Answers
Answer:
The temputure is -64
Step-by-step explanation:
-9x + 15 = -48 ?????????????????????/
Answers
Answer:
x=7
Step-by-step explanation:
HELP! After finding area explain the reasoning you used to find the area and I’ll give brainliest!
Answers
Answer:
The answer is 180 yds squared.
Step-by-step explanation:
Segment the areas. One area has the measurements 5 and 6. Then the other one has measurements 15 and 10. This means you get 150 + 30. The answer is 180 yds squared.
Arrange the following from greatest to least (integers)
3,7,-15,9
Answers
Answer:
9 , 7, 3, -15
Step-by-step explanation:
the bigger the number before the zero the lesser value it has and any number after the zero has more value
4.
For each equation, find a value for x that makes the equation true. Show your work on the next
page.
a.
x=3 = 12
b.
2x + 3 = 20
4
10
C.
d.
- 4x = -24
e.
2(x – 4) = 10
-0.5x + 1.1 = -2.9
f.
Answers
Answer:
A.) x / 3 = 12 ----> x = 12(3) ----> x = 36
B.) 2x + 3 = 20 ----> 2x = 17 ----> x = 17/2
C.) 4/3x = 10/3 ----> x = 10/3 x 3/4 ----> x = 30/12 = 5/2
D.) -4x = -24 ----> x = -24/-4 ----> x = 6
E.) 2(x-4) = 10 ----> 2x - 8 = 10 ----> 2x = 18 ----> x = 9
F.) -0.5x + 1.1 = -2.9 ----> -0.5x = -4 ---> x = -4 / -0.5 ----> x = 8
A man 2 m high observes the angles of elevation of the rops of house and a window on its sode are 45 and 60 respectively. If the top is at height of 12m above the ground , find the height.
Answers
Answer:
The height of the window = x + 2 = 4.23 + 2= 6.23m
Step-by-step explanation:
The angle of elevation of the top of the house and the window is 60 and 45 degree.
We can proceed as drawing a diagram as a man of height 2m and a building of total height 12m.
draw a horizontal line along the height of a man so that it touches building at height 2mtill the window height we assume its height as 'x' from the man's height.distance till the top from the window will be 'y'we don't know the distance between man and the building let it be 'b'
[tex]\frac{x}{b}=tan 45[/tex] =1
x=b .............(1)
total height of the building is given as 12m
x + y + 2=12
x + y = 10 .....................(2)
[tex]\frac{x+y}{b} =\frac{x+y}{x }[/tex] = tan 60
[tex]\frac{10}{x} = \sqrt{3}[/tex]
x = [tex]\frac{10}{\sqrt{3} }[/tex] ≈ 5.77m
y = 10 - [tex]\frac{10}{\sqrt{3} }[/tex]
y= 10(1-[tex]\frac{1}{\sqrt{3} }[/tex] ) ≈ 4.23m
The height of the window = x + 2 = 4.23 + 2= 6.23m
what is the smallest number you can make using 4 5 3 6
Answers
Answer:
3456
Step-by-step explanation:
11. Samuel's current salary is $30,000. He has been
promised a raise to $31,500 next year. His raise
will be what percent increase over his current
salary?
A. 3%
B. 3.5%
C. 4%
D. 5%
Answers
Hope I helped :)
Write an equation in the form that makes the most sense for the information given. Since the beginning of fall, the little tree in front of Mrs. Wenger's house loses 12 more leaves everyday. After 5 days, it had only 208 leaves remaining.
Answers
Answer:
0 = 208 - 12x
Step-by-step explanation:
Since after 5 days the tree only had 208 leaves remaining, assuming that the rate of decay is constant, we can use the following equation to calculate the total number of days (starting at the 5-day mark as 0) until the tree loses all of its leaves. In this equation, the total number of days is represented by the variable x.
0 = 208 - 12x
Now that we have the equation we can solve it...
0 = 208 - 12x ... subtract 208 on both sides
-208 = -12x ... divide both sides by -12
17.33 = x
Finally, we can see that after 18 days (not 17.33 because we are counting full days) the tree will have lost all of its leaves.
mark runs 5 miles in 40 minutes. if he continues at the same rate can he run 14 miles in 120 minutes
Answers
Suppose that an elementary school starts a recycling program. After one year, the school has
reduced its trash from 144,000 pounds per year to 122,400 pounds per year. Find the percent
decrease in the amount of trash.
Answers
Answer:
15% is reduced
Step-by-step explanation:
I always start by finding what 10% and 5% is, after that, I try to see how I can make that into the number subtracted and for this it happened to be 15% I found that 10% was 14,400 and 5% was 7,200 and I found the total amount reduced was 21,600 which is 14,400+7,200 or 10%+5%
okay so i got (1,1) but it's not on here ;-;
Answers
You can use 0 to substitute for x. That makes (0,4.5) a possible ordered pair. Another possible answer is using 1 or 2, but that is not one of the answers provided. Hope this helped!
Solve for p: 16p + 24 = 48
Answers
hi
16p +24 = 48
16p = 48-24
16p = 24
p = 24/16
P = 8*3 /8*2
p = 3/2
Answer:
3/2
Step-by-step explanation:
First move 24 to the other side. Therefore, you subtract 24 from 48 (48-24). You’re left with 16p= 48-24. That is 16p=24. Now we are trying to find p so we’re going to divide both sides by the coefficient of p which is 16. So, p= 24/16. Both 24 and 16 are multiples of 8 so you can simplify to p=3/2. Hope you understand!
Can someone help me with this??!!
Explain the difference between -34 and (-3)4, and evaluate each power.
Answers
Answer:
68
Step-by-step explanation:
the brackets make the 3 positive
I NEED HELP NOW!!! I ONLY HAVE 5 MIN TO TURN THIS IN
Answers
Answer:
a)
28000 + 3000·x = 36000 + 2000·x --> x = 8 years
b)
28000 + 3000·8 = $52000
Answer:
a. x = 8 yearsb. 52,000Step-by-step explanation:
company A = 28,000 + 3,000 (x)
company B = 36,000 + 2,000 (x)
where x = no. of years.
company A = company B28,000 + 3,000 (x) = 36,000 + 2000 (x)
3,000 (x) - 2,000 (x) = 36,000 - 28,000
1,000 (x) = 8,000
x = 8,000
1,000
x = 8 yearsplugin value of x = 8 into company A and Bcompany A = 28,000 + 3,000 (8)
company A = 52,000company B = 36,000 + 2,000 (8)
company B = 52,000Help me find D please
Answers
Answer:
21 deg
Step-by-step explanation:
3x + 5x - 2 + 18x = 180 deg (sum angles of triangle)
26x = 182 deg
x = 7 deg
angle D = 3x = 3 x 7 = 21 deg
What is the value of a?
Answers
question in pic. please help!
Answers
Answer: 1, 3, and 4 can form triangles. The rest can not.
Step-by-step explanation:
on triangles 1, 3, and 4, the 2 smaller sides added together are greater than the longer side.
Mr.West bought merchandise totaling $3,500. His overhead was $1,200. He sold the merchandise for $5,000. Find his percent on the profit based on the cost, to the nearest whole percent.
plz answer fast i rlly need it now
Answers
Answer:
17.647 = 18%
Step-by-step explanation:
I hope this helps also pls rate brainliest