Answer:
[tex]d = 2\sqrt{5}[/tex]
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d = \sqrt{(1-(-3))^2+(2-4)^2}[/tex]
[tex]d = \sqrt{(1+3)^2+(-2)^2}[/tex]
[tex]d = \sqrt{(4)^2+4}[/tex]
[tex]d = \sqrt{16+4}[/tex]
[tex]d = \sqrt{20}[/tex]
[tex]d = 2\sqrt{5}[/tex]
A long-distance runner can run 11 miles per hour. How many hours will it take
the runner to run 44 miles?
Answer:
4 Hours.
Step-by-step explanation:
If the run 11 miles in a hour, then do 11 times as many hours.
11 x 4 = 44.
i need help with segments
Answer:
∠ DBC = 16°
Step-by-step explanation:
∠ ABD + ∠ DBC = ∠ ABC , substitute values
2x + 15 + x - 30 = 123 , that is
3x - 15 = 123 ( add 15 to both sides )
3x = 138 ( divide both sides by 3 )
x = 46
Thus
∠ DBC = x - 30 = 46 - 30 = 16°
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
Answer:
x= 14
y=5
Step-by-step explanation:
AOC and BOD are vertical angles so they are equal
AOC = BOD = 25
MOD = 90
MOD = MOB+ BOD
90 = 3x+23 + 25
Combine like terms
90 = 3x +48
Subtract 48 from each side
90-48 = 3x
42 = 3x
Divide by 3
42/3 = 3x/3
14 =x
We know that 5y+ 3x +23+90 = 180 since AB is a straight line
5y+ 3x +113 = 180
subtract 113 from each side
5y+3x =67
5y+ 3*14 =67
5y +42 = 67
5y = 67-42
5y = 25
Divide by 5
y = 25/5
y =5
Answer:
Step-by-step explanation:
x=14
Solve the simultaneous equations 3x- 4y =20 and 4x-2y = 25
Answer:
(6, - [tex]\frac{1}{2}[/tex] )
Step-by-step explanation:
Given the 2 equations
3x - 4y = 20 → (1)
4x - 2y = 25 → (2)
Multiplying (2) by - 2 and adding to (1) eliminates the y- term
- 8x + 4y = - 50 → (3)
Add (1) and (3) term by term to eliminate y
- 5x = - 30 ( divide both sides by - 5 )
x = 6
Substitute x = 6 into either of the 2 equations and evaluate for y
Substituting into (1)
3(6) - 4y = 20
18 - 4y = 20 ( subtract 18 from both sides )
- 4y = 2 ( divide both sides by - 4 )
y = [tex]\frac{2}{-4}[/tex] = - [tex]\frac{1}{2}[/tex]
Solution is (6, - [tex]\frac{1}{2}[/tex] )
The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The linear equations are given below.
3x - 4y = 20 ...1
4x - 2y = 25
8x - 4y = 50 ...2
Subtract equation 1 from equation 1, then we have
8x - 4y - 3x + 4y = 50 - 20
5x = 30
x = 6
The value of the variable 'y' will be given as,
3(6) - 4y = 20
18 - 4y = 20
4y = - 2
y = - 0.50
The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).
More about the solution of the equation link is given below.
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Tammy can type 130 words in 5 minutes. How many words can she type in 20 minutes?
Answer:
520 words
Step-by-step explanation:
Do 130 words divided by 5 minutes to get 26 words per minute.
Then you do 26 times 20 to get the answer of 520
hope this helps!!
Answer:
520 words.
Step-by-step explanation:
We can multiply the 5 minutes by 4 to find 20, so also multiply 130 by 4, which would result in 520.
The runners on a cross country team need to buy bottles of water for their next meet. Each runner will buy four bottles, and the coach will buy extra bottles. Which equation best describes the total number of bottles, b, the runners and coach will buy in terms of n, the number of runners on the team?
Answer:
b = n + n
Step-by-step explanation:
Which of these values could be the slope of the line? Select two options.
–2
0
3
Answer:
3
Step-by-step explanation:
The slope is positive since it goes from the bottom left to top right so 3 is the only choice
Answer: 3
Step-by-step explanation:
The line is increasing (meaning it's pointing to the right), so that means the slope must be a positive value. When the slope is 0, the line is flat. When the slope is negative, it's decreasing (pointing to the left).
The two favorite plants in Mary's garden are 6.56 feet and 8 feet tall. What is the difference in height of the plants?
Answer:
The height difference is 1.44 feet
Step-by-step explanation:
8 feet (1 plant height) - 6.56 feet (1 plant height) = 1.44 feet (height difference)
if AB || CD, then find value of angle COS, if angle BPO = 120 + - and angle COS = x
====================================================
Explanation:
Angle BPO is congruent to angle POC because they are alternate interior angles and because AB is parallel to CD. So angle POC is 120+x degrees
This adds with angle COS to get 180
(angle POC) + (angle COS) = 180
(120+x) + (x) = 180
2x+120 = 180
2x = 180-120
2x = 60
x = 60/2
x = 30
angle COS = x = 30
angle POC = 120+x = 120+30 = 150
angle BPO = angle POC = 150
Isabel wants to start saving more money so that she can purchase new clothes for college. She has $200 and will add $5 to her savings every day. Which equation models Isabel’s savings, where n represents each day ?
Answer:
Step-by-step explanation:
n-5=200
Answer: an= 5n +
Step-by-step explanation:
I don’t really know but she has $200 and she wants to add $5 to her savings everyday so it can’t be an= 5an-1 because we’re adding but n means everyday so 5n would represent that so yeeahhhh hope that helped
A painter charges a flat fee of $100 and $35 per hour (for up to 8 hours), h, that he spends painting. This relationship can be represented by the function f(h)=100+35h where f(h) represents the total amount the painter charges.
Answer:
I don't know
Step-by-step explanation:
But the question you asked i think you have add and stuff
c. Bradley's dad used a light bulb that consumed 5000 joules in 50 seconds. What is the
unit rate at which this light bulb used energy?
Answer:
100 joules/ second
Step-by-step explanation:
5,000/50 seconds = 100 joules/ second
If a light bulb that consumed 5000 joules in 50 seconds, then the unit rate at which this light bulb used energy is, 100 joules/seconds or 100 watts.
What is the rate?Rate is a ratio of change in one quantity w.r.t. change in another quantity. The net change in one quantity is written as, Δy and the net change in another quantity is written as, Δx.
So formula for the rate is,
m = change in one quantity/change in another quantity = Δy/Δx
Given that,
A light bulb that consumed 5000 joules in 50 seconds,
The unit rate at which this light bulb used energy = ?
To find the unit rate,
we can divide the energy consumed (in joules) by the time it took to consume that energy (in seconds):
Unit rate = 5000/50 joules/seconds
= 100 Watts
Note: 1 Watt = 1 Joule/second,
so the unit rate can also be expressed as joules per second.
Hence, the unit rate at which the light bulb used energy is 100 Watts.
To know more about Rate check:
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Which number is less than -1.5?
A. -1
B. -1.5
C. - 1 1/3
D. - 1 2/3
please hurry!!!
Answer:
D -1 2/3 because 2/3 is greater than 1/2 and these numbers are negatives
write the equation of thr parabola in vertex form. vertex (1,1) point (2,-4)
Answer:
y = -5(x- 1)^2 + 1
Step-by-step explanation:
Answer: D
Step-by-step explanation:
took a quiz
Selena is simplifying the expression (6 h Superscript 5 Baseline) squared. She wrote (6 h Superscript 5 Baseline) squared = box h Superscript 10.
What number should Selena put in the box?
Answer:
36 is the correct answer on edge
Step-by-step explanation:
(6h^5)^2 is our expression
1. Break it up:
6 x 6, h^5 x 2
2. Solve
36, h^10
therefore:
36h^10
Answer:
36
Step-by-step explanation:
Find x.
(4x + 16)
(2x + 34)
A. X = 9
B. X= 52
C. X = 21.7
D. X = 25
Answer:
A. x=9
Step-by-step explanation:
4x+16=2x+34
-2x -2x
2x+16=34
-16 -16
2x=18
÷2 ÷2
x=9
y=2x+3 for the slope
x= -3/2
Step-by-step explanation:
y=2x+3 for the slope
move the variable to the left
divide both sides
solution solve
based on her recipe, Elena knows that 5 servings of granola has 1750 calories.
Answer:
700 calories
Step-by-step explanation:
1750 ÷ 5 = 350350 × 2 = 700I hope this helps!
what slope-intercept form equation represents the line?
Answer:
The slope of this line equals 2.
Hope this helps :)
Step-by-step explanation:
Help With the question on the image.
The ratio of the perimeters of 2 similar shapes is the sidelength of 1 shape to the matching sidelength. That means the ratios of the perimeters are 10:6 = 5:3
The ratio of areas = ratio of perimeters ^2 --> 25:9
Ratios of areas = ratios of perimeters ^2
A bicycle has a listed price of $563.95 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
$613.30
Step-by-step explanation:
8.75% = 0.0875
8.75% of $ 563.95 is $ 0.0875*563.95
$ 0.0875*563.95 is tax in dollars
the total cost = $ 563.95 + $ 0.0875*563.95 = $ 613.295 = $613.30
Taxi A charges $3.00 plus $0.30 for every
mile.
Taxi B charges $3.25 plus $0.20 for every mile.
How much money, in dollars, does Kelly save by using Taxi B instead of Taxi A?
which value of the variable is a solution of the inequality t>-7
Answer:
It could be -6, -5, -4, -3, -2, -1, 0, or anything above that
Step-by-step explanation:
Answer for MONEY. :) :)
Answer:
i would say <2= 80?
Step-by-step explanation:
im not pretty sure
HELP
Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.
-80x+24.5y-56
-80x+28y-56
80x+28y+56
4(-20x+7y-14)
-4(-20x+7y-14)
Answer:
Its a,c and e
Step-by-step explanation:
I just took the quiz
A local park currently has 150.04 square meters of grassy area. The members of a community group have proposed the following
changes to the way the park land is used
• Clearing dead trees and shrubs would allow for 37 51 square meters of additional grassy area.
• Removing an unused picnic pavilion would allow for 82.70 square meters of additional grassy area.
• Updating and expanding the playground would reduce the grassy area by 54 19 square meters
How many square meters of grassy area would the park have if all of the community group's proposals were applied?
Answer: they would have 216.06 square meters of grassy area left in the park
Step-by-step explanation: if you start with 150.04 and add 37.51 by removing trees and shrubs you would have 187.55 and then if you added 82.70 more square feet by removing the unused Picnic pavilion you would have 270.25 square meters of grassy area. Then lastly is you update the playground by reducing 54.19 square meters ( 270.25-54.19) you would get left with 216.06 square meters of grassy area :)
What is the solution to the system of equations?
{x=2y+3
{4x-5y=9
Answer:
(1,-1)
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :).
A number decreased by half of the number is four. What is the number?
Answer:
four is the right answer i think
Answer:
It should be a number between 12 and 14
Step-by-step explanation:
Start with given compound inequality, Add 4 to all sides ,combine terms on the left side ,combine terms on the right side, multiply all by 2, multiply ,so the number is between 12 and 14 which makes it possible to be 12,13,or 14
4.
One endpoint of a segment has the coordinates (1,-2). The coordinates of the midpoint
are (5,-5). What are the coordinates of the other endpoint?
5.
Ray AC is in the interior of angle BAD. Write an equation using the Angle Addition
Postulate. If the measure of angle BAD = 52º and the measure of angle BAC = 2x - 3
and the measure of angle CAD = 7x + 1, what are the measures of angle BAC and
angle CAD?
Answer:
4. (9, -8)
(✿◠‿◠)
x² = 35
show your work
Answer:
x=±√35
Step-by-step explanation:
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x=±√35
The complete solution is the result of both the positive and negative portions of the solution.