Answer:
The coordinates of b are: B=(-7,-8)
Step-by-step explanation:
We are given the coordinates of the midpoint of [tex]\overline{\text{AB}}[/tex] as M=(-5,-2).
We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.
Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:
[tex]\displaystyle x_m=\frac{x_a+x_b}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_a+y_b}{2}[/tex]
We know xa=-3 and xm=-5. Solve the first equation for xb:
[tex]2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a[/tex]
Substituting:
[tex]x_b=2\cdot (-5)-(-3)=-10+3[/tex]
[tex]x_b=-7[/tex]
We can solve the second equation for xb and get:
[tex]y_b=2y_m-y_a[/tex]
Since ya=4 and ym=-2, then:
[tex]y_b=2\cdot (-2)-(4)=-4-4[/tex]
[tex]y_b=-8[/tex]
Thus, the coordinates of b are: B=(-7,-8)
The elevator that takes passengers from the lobby of the John Hancock Centre in
Chicago to the observation level travels 300 feet in 5 seconds. The observation level
is located on the 100th floor, at 1200 feet above the ground. Find the time it takes
the elevator to travel from the lobby to the observation level. (4)
Answer:
20 seconds
Step-by-step explanation:
s = Distance traveled by elevator = 300 ft
t = Time taken = 5 seconds
Velocity is given by
[tex]v=\dfrac{s}{t}\\\Rightarrow v=\dfrac{300}{5}\\\Rightarrow v=60\ \text{ft/s}[/tex]
Distance to the observation level from the lobby = 1200 ft
Time taken is given by
[tex]t=\dfrac{1200}{60}\\\Rightarrow t=20\ \text{s}[/tex]
Time taken to reach the observation level from the lobby is 20 s.
Points C, D, and E are collinear. You are given CD = 18 and CE = 27. What is a possible measure of DE?
0 A 6
B. 7
C. 8
D. 9
HELP PLS
Answer:
9
Step-by-step explanation:
The measure of DE is 9 units. Therefore, option D is the correct answer.
Given that, points C, D, and E are collinear, CD = 18 and CE = 27.
What are collinear points?Collinear points are the points that lie on the same straight line or in a single line.
Now, points C, D, and E are collinear.
CE = CD+DE
⇒ 27 = 18 + DE
⇒ DE = 27-18
⇒ DE = 9
The measure of DE is 9 units. Therefore, option D is the correct answer.
To learn more about the collinear points visit:
https://brainly.com/question/1593959.
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7s+5c=181.40
9s+1c=132.80
Answer:
s=12.7
c=18.5
hope this helps :)
The price of an item has risen to $279 today yesterday it was $180 find the percentage increase
Answer:
99%
Step-by-step explanation:
The percentage increase of the given item is 55.56%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.
The price of an item has increased to $279 today yesterday it was $180
The percentage increase can be calculated by:
(Current price - Original price) / Original price x 100 = Percentage increase
As per the question, we have to substitute the values to get:
⇒ (279 - 180) / 180 x 100 = 55.56%
Therefore the percentage increase is 55.56%.
Learn more about the percentages here:
brainly.com/question/24159063
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i need help with fractions :(
Answer:
x = 0, Need the steps?
STEPS:
9x - 7 = -7 (Original Problem)
9x = 0 (Add 7 to both sides)
x = 0 (Divide both sides by 9)
Answer:
Step-by-step explanation:
(3) 9x-7=7
First multiply 3 by 9x to get 27x
27x-7=7
Then add 7 to both sides
27x-7+7=7+7
27x=14
27x/27=14/27
x=14/27
If 3x - 8 = 9x+5/2, what is the value of x+ 7?
See attachment for math work and answer.
PLEASE ANSWER Quickly!
Find the equation of the line
Y= __x + __
Answer:
y= -x+5
Step-by-step explanation:
→first you need to identify 2 points. I'm using (5,0) and (0,5)
→second you need to find the slope using y2-y1/x2-x1 as your formula
5-0/0-5= 5/-5=-1
→then you need to use y-y1=m(x-x1) formula
y-0=-1(x-5)
(distribute the -1)
y-0= -1x+5 (+5 because a negative times a negative is a positive)
(combine like terms)
y= -1x+5
→once you solve you get y= -x+5
why is it better to use the metric system rather than the English system in scientific measurement.
A. the English system uses one unit for each category of measurement
B.the metric system uses one unit for each category of measurement
C. the English system uses consistent fractions that are multiples of 10
D. the metric system utilizes a variety of number conversions
Answer:
B
Step-by-step explanation:
The metric system uses one unit for each category of measurement.
here's the image for the question I have:
Answer:
c
Step-by-step explanation:
Answer:
C::10:15
Step-by-step explanation:
It is C because he had 15 hours of first aid and 10 hours of cpr and the question says CPR TO FIRST AID therefore the number of CPR training hours will come before the number of First Aid training hours. If it would have asked you to reduce the ratio it would have been 2:3 because you would have had to divide both sides by 5 resulting in the smallest possible ratio.
HOPE THIS HELPS YOU OUT!
X − (5 − 3x) ≤ 2x − 1 Group of answer choices Number line with a filled circle at -1 and shading to the left Number line with a filled circle at -1 and shading to the right Number line with a filled circle at 2 and shading to the right Number line with a filled circle at 2 and shading to the left
Given:
The inequality is
[tex]x-(5-3x)\leq 2x-1[/tex]
To find:
The solution of the given inequality.
Solution:
We have,
[tex]x-(5-3x)\leq 2x-1[/tex]
[tex]x-5+3x\leq 2x-1[/tex]
[tex]4x-5\leq 2x-1[/tex]
Subtract 2x from both sides.
[tex]4x-5-2x\leq 2x-1-2x[/tex]
[tex]2x-5\leq -1[/tex]
Add 5 on both sides.
[tex]2x-5+5\leq -1+5[/tex]
[tex]2x\leq 4[/tex]
Divide both sides by 2.
[tex]x\leq 2[/tex]
It means, the numbers less than 2 or 2 are included in the solution set.
Number on the left side of 2 are less than 2. So, number line with a filled circle at 2 and shading to the left.
Therefore, the correct option is D.
What is the value of X?
A.11
B.9
C.7
D.6
Answer:
x=6
Step-by-step explanation:
10x+21x-6=180 ( straight angle)
31x=180+6
x=186/31
x=6
The volume of a cube with sides of length s is given by V = s^3. Find the rate of change of the volume with respect to s when s = 8 centimeters.
Answer:
[tex]V'(8)=192\text{ cm}^2[/tex]
Step-by-step explanation:
We have the volume of a cylinder:
[tex]V=s^3[/tex]
To find the rate of change of the volume with respect to s, we will take the derivative of both sides with respect to s. So:
[tex]\frac{d}{ds}[V]=\frac{d}{ds}[s^3][/tex]
Differentiate. Use the power rule:
[tex]V'(s)=3s^2[/tex]
So, to find the rate of change of the volume when s is 8 centimeters, substitute 8 for s:
[tex]V'(8)=3(8)^2[/tex]
Evaluate:
[tex]V'(8)=192\text{ cm}^2[/tex]
Plz Help Ill give brainliest
What is the midpoint of the line segment with the given endpoints?
(−7, 3) and (13, −9)
Answer:
3, -3
Step-by-step explanation:
What is the range of the following graph?
Answer: 6
Step-by-step explanation: 8 - 2 = (6) Range is the difference between the highest and lowest number just for future references. Hope this helped! :)
Answer: i think is 8 also that person already explain
Step-by-step explanation: have a nice day
If using the method of completing the square to solve the quadratic equation x^2-15x-10=0, which number would have to be added to complete the square
Answer:
[tex]\bold{\dfrac{225}4}[/tex]Step-by-step explanation:
[tex]x^2-15x-10=0\\\\x^2-2\cdot x\cdot\frac{15}2+(\frac{15}2)^2-(\frac{15}2)^2-10=0\\\\(x-\frac{15}2)^2-\frac{225}4-10=0[/tex]
So to complete the square we need to add (and subtract) the number [tex]\frac{225}4[/tex]
+54- -75 what the answer
Answer:
-21
Step-by-step explanation:
positive 54 decreased negative 75. The answer is -21. why? Because the negative variables is higher than the positive variable in the given.
Answer:
129
Step-by-step explanation:
+54- -75
54+75=129
When you are subtracting 54- -75, the symbols will automatically change to postives.
You could also use the method:
Keep, change, change
54 + +75
A carpenter cuts a circle out of a piece of wood. The radius of the circle is
about 23 inches. The carpenter cuts the circle into two semicircles. What is
the area of one semicircle to the nearest hundredth? Use 3.14 for
Answer:
830.53 in²
Step-by-step explanation:
To find the area of one semicircle, find the area of the full circle and divide it by 2:
Use the circle area formula, A = [tex]\pi[/tex]r²
Plug in 3.14 as pi, and plug in the radius:
A = [tex]\pi[/tex]r²
A = 3.14(23²)
A = 1661.06
Divide this by 2:
1661.06 / 2
= 830.53
So, the area of one semicircle is 830.53 in²
Answer:
850.53 in² is the answer
Consider the function rule: y = 9x – 7
What is the value of y when x=4?
What is the value
help !! will mark brainliest
Answer:
The answer is b your welcome
Bus A and Bus B leave the bus depot at 3 pm.
Bus A takes 25 minutes to complete its route once and bus B takes 30 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
im assuming that the buss only repeat the rout once? so in total they do 2 routes?
bus a at 3:50 and bus b at 4:00
Rewrite equation y=-2/3x+4 in standard form
Answer: 2x+3y=12 I believe
what is 300 × = 120,000
there is nothing between the × and = cuz its asking me 300× what = 120,000.
The answer is 400
First, you must flip the equation.
[tex]120000[/tex] ÷ [tex]300[/tex] = ?
Then, you must simplify the equation.
[tex]1200[/tex] ÷ [tex]3[/tex] = ?
Finally, divide the two terms.
[tex]1200[/tex] ÷ [tex]3[/tex] = 400
What is the slope of a line that is parallel to the graph of 2x+3y=5?
Answer:
2/3
Step-by-step explanation:
I checked on desmos.
1. 1 and 22 are vertical angles. If m1 =
(5x + 12) and m2 = (6x - 11), find m1.
Answer:
127 degrees
Step-by-step explanation:
You have prizes to reveal! Go to your game board.
A hummingbird lives in a nest that is 12 feet high in a tree. The hummingbird flies 13 feet to
get from its nest to a flower on the ground. How far is the flower from the base of the tree?
Answer:
1 foot?
Step-by-step explanation:
You subtract 13 from 12 to get the base divider.
One company buys a new bulldozer for $130800. The company depreciates the bulldozer linearly over its useful life of 20 years. It salvage value at the end of 20 years is $19800. Express the value of the Bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation
Given :
One company buys a new bulldozer for $130800.
The company depreciates the bulldozer linearly over its useful life of 20 years. It salvage value at the end of 20 years is $19800.
To Find :
The value of the Bulldozer, V, as a function of how many years old it is, t.
Solution :
Let, the equation is :
V = mt + c .....1)
For, t = 0 years
V = m(0) +c = $130800.00
c = $130800.00
For, t = 20 years
V = 20m + c = $19800.00
Putting value of c in above equation, we get :
20m + $130800.00 = $19800.00
m = (19800.00-130800.00 )÷20
m = -5550
Putting value of m and c in equation 1, we get :
V = -5550t + 130800
Hence, this is the required solution.
The perimeter of a rectangular field is 358 m.
If the width of the field is 84 m, what is its length?
Answer:
95m
Step-by-step explanation:
So to work this out you times 84 by 2 which is 168 (84×2) and then take away 168 from 358 which is 190 (358-168). Then divide 190 by 2 which is 95 (which is the the length/Answer)
(84+84+95+95=358)
Which relation is also a function?
{(-1, 3), (0, 2), (3, -1), (3, 2)} {(2,-4), (2,-2), (2, 1), (2, 3)}
{(0, 3), (1, 2), (1, 4), (2.1)}
{(-4,-3), (0.-3). (1, -3), (4, -3)}
Answer:
{(-4,-3), (0, -3,) (1, -3), and (4,-3)}
Step-by-step explanation:
There can only be one y- output for each x-input. Every other answer is a relation because there are multiple y-values for an x-value.
Answer:
The second one.
Step-by-step explanation:
A function can have two of the same inputs, but not two of the same outputs.
In the first one, the output 2 is found more than once.
In the third one, the output -3, is also found more than once.
The second one has completely unique numbers for both the input and output.
A popular band is trying to raise at least $20,000 for charity by holding multiple concerts at a park. It plans to sell tickets at $25 each. For each 2-hour concert, the band would need to pay the park $1,250 in fees for security, cleaning, and traffic services
The complete question is;
A popular band is trying to raise at least $20,000 for charity by holding multiple concerts at a park. It plans to sell tickets at $25 each. For each 2-hour concert, the band would need to pay the park $1,250 in fees for security, cleaning, and traffic services.
The band needs to find the combinations of number of tickets sold, t, and number of concerts held, c, that would allow it to reach its fundraising goal.
Write an inequality to represent the constraints in this situation.
Answer:
(25t)c - 1250 ≥ $20,000
Step-by-step explanation:
We are told the band is trying to raise at least $20,000.
It's trying to sell tickets at $25 each.
We are told that they pay the park $1,250 in fees for security, cleaning, and traffic services.
Now, expenses for each concert is $1,250.
Now, we are told that the number of tickets sold is t, and number of concerts held, c.
Thus, total amount that can be realized for "c" number of concerts is;
A = (25t)c
Now, expenses for each concert is $1,250.
Thus, total profit for "c" number of concerts is;
P = (25t)c - 1250
Now, they are trying to raise at least $20,000. Meaning greater than or equal to $20,000.
Thus, the profit must be greater than or equal to $20,000.
Thus, the inequality is;
(25t)c - 1250 ≥ $20,000
Bennett has been practicing the cello for an hour each day. 3/4of the hour, he spends practicing musical pieces in preparation for his upcoming orchestra concert. He spends the other 1/4of the hour practicing scales. If he spends 2/5of his practice time on musical pieces playing one of the orchestra pieces, Excerpts from Pirates of the Caribbean, how much of the hour does he spend playing that music?
Answer:
[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]
Step-by-step explanation:
Given
[tex]Time = 1\ hour[/tex]
[tex]Musical\ Pieces = \frac{3}{4}\ hour[/tex]
[tex]Practicing\ Sales = \frac{1}{4}\ hour[/tex]
Orchestral = [tex]\frac{2}{5}[/tex] of music practice time
Required
Determine time spent on orchestral pieces
From the given parameters, we have:
Orchestral = [tex]\frac{2}{5}[/tex] of music practice time
Substitute [tex]\frac{3}{4}\ hour[/tex] for music practice time.
So, we have:
[tex]Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour[/tex]
[tex]Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour[/tex]
[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]