Answer:
[tex]B(x,y) =(-7,6)[/tex]
Step-by-step explanation:
Given
[tex]A = (-10,4)[/tex]
[tex]D = (2,12)[/tex]
Required
Determine the coordinates of B
C is the midpoint of AD. So, we calculate the coordinates of C, first.
[tex]C(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Where:
[tex]A = (-10,4)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]D = (2,12)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]C(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
[tex]C(x,y) = (\frac{-10+2}{2},\frac{4+12}{2})[/tex]
[tex]C(x,y) = (\frac{-8}{2},\frac{16}{2})[/tex]
[tex]C(x,y) = (-4,8)[/tex]
So, the coordinates of C is (-4,8)
The midpoint of AC is B.
So, we calculate the coordinates of B using:
[tex]B(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Where:
[tex]A = (-10,4)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]C(x,y) = (-4,8)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]B(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
[tex]B(x,y) =(\frac{-10-4}{2},\frac{4+8}{2})[/tex]
[tex]B(x,y) =(\frac{-14}{2},\frac{12}{2})[/tex]
[tex]B(x,y) =(-7,6)[/tex]
Hence, the coordinates of B is (-7,6)
None of the options is correct.
can someone plz help me
Answer:
I believe D is the answer
Step-by-step explanation:
how I find the slope it by looking at the y-axis and what hits directly on that line. you can see that 3 hits directly on that line so the b in y=mx+b is three which is your starting point. then you follow the line and see where it hits directly on a point. then count the blocks. remember that it's rise over run so that's y over x. so you go down five and over one. since you go down five it's negative. the negative is only added onto the five not the one. and since it's five over one, you don't need to put the over one, it's just automatically there. hope this helps! good luck!
Bianca has to drive 180 miles to her aunt’s house. She drove 30% of the total distance before lunch. How many miles did Bianca drive before lunch? Show your work.
Answer:
6 miles
Step-by-step explanation:
180 ÷ 30 = 6
Bianca drove 6 miles before lunch to her Grandma's house.
PLEASE HELP , IT'S DUE TOMORROW !!
Write a situation about today's sales for the following systems of equations and then determine how much of each menu item you sold e + f = 48 and e = 3f
Answer:
3x48+48 = 192
3x48= 144
144+48= 192
There has been sold 12 items of f and 36 items of e in the system.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are Given the system of equation:
(1) e + f = 48
(2) e = 3f
Then Substituting e=3f into e + f=48:
3f + f = 48
Adding similar terms:
4f = 48
Dividing both sides by 4:
f = 48/4
Simplifying:
f = 12
Replacing;
f=12 in e + f =48
e + 12 = 48
Now Subtracting -12 to both sides:
e = 48 - 12
e = 36
Thus There has been sold 12 items of f and 36 items of e.
Learn more about equations here;
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Five sisters bought a present for their grandfather that cost each sister $10.80. They received a 10% discount. How much was the original price of the gift?
Answer:
$540
Step-by-step explanation:
Multiply 10.80 by the 5 sisters then divide your answer by 10%
What is the solution of 5y + 2 = 42?
Ashley is making trail mix.The ratio of peanuts to raisins in one portion is 5:9. Create a ratio table to find out how many peanuts and raisins you will need if you make 7 portions and 12 portions
The number of peanuts and raisins for 7 portions is 35 and 63 respectively.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the ratio of peanuts to raisins in one portion is 5:9.
Number of peanuts and raisins you will need if you make 7 portions and 12 portions.
Now, 5×7 : 9×7
35:63
Here, 5×12 : 9×12
60 : 108
Therefore, the number of peanuts and raisins for 7 portions is 35 and 63 respectively.
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what is the image of (8,7) after a reflection over the line y=-x?
Answer:
(-7,-8)
Step-by-step explanation:
The original point is (8,7)
To reflect it, just switch their places and change their signs.
So, (-7,-8)
Gail paid $118.65 for a varsity jacket. The price includes a 5% sales tax. How much was the jacket before the tax? $124.65
$113.00
$117.00
$112.72
Answer:
112.72
explaination:
Answer:
C the answer is C
Step-by-step explanation:
how many solutions does 4x+1=3x+2
one solution
no solution
infinitely many solutions
Answer:
one solution
Step-by-step explanation:
If you simplify the equation, it becomes 1x+1=2. Then you subtract the 1 from 2 and get 1x=1. Therefore, x=1 which is ONE SOLUTION.
2.9 divided by 97.526
show work please <3.
Answer: 0.029736
Step-by-step explanation: sorry i know it not the best but i couldnt do it another way anyways hope this helps
2 9 7 3 5 .
9 7 5 2 6 | 2 9 0 0 .
1 9 5 0 . 5 2
9 4 9 . 4 8 0
8 7 7 . 7 3 4
7 1 . 7 4 6 0
6 8 . 2 6 8 2
3 . 4 7 7 8 0
2 . 9 2 5 7 8
5 5 2 0 2 0
4 8 7 6 3 0
6 4 3 9 0
your portfolio value has grown from 2500 to 3800 what is the percent of the growth rate
Answer:
52 percent.
Where: 2500 is the old value and 3800 is the new value. In this case we have a positive change (increase) of 52 percent because the new value is greater than the old value.
Answer:
52%
Step-by-step explanation:
if a snail moves 1 1/2 feet in 3 3/4 hours, whats it speed in feet per hour?
Answer:
2.5 ft/hr Step-by-step explanation: divide the number of hours by the number of feet.
Step-by-step explanation:
Answer:
Hello!
2/5 feet per hour
d = vt
1 1/2 or (3/2) = v(3.75 hours or 15/4)
divide both sides by 3.75 hours
0.4 or 2/5
Hope this helps :))
**please help due today I am behind please, please 17 points **
There are no more than 20 children in the daycare at any given time. Which inequality represents this situation?
1. c>20
2. c≥20
3. c≤20
5. c<20
Answer:
3
Step-by-step explanation:
It is number one.
if there are no more than 20, that means there are less. If one doesnt work try number 2.
Which function is f(5) for the function -2x^2+2x-3
A: -107
B: -63
C: -43
D: -37
Answer:
C
Step-by-step explanation:
-2x^2 + 2x -3
-2(5)^2=
-50
2(5)
= 10
-50+10-3
is -43 so C
Louis makes a model of a plane.
The wingspan of the model is 50 centimetres.
The wingspan of the real plane is 80 metres.
Work out the scale of the model.
Give your answer in the form 1:n
Answer:
1 : 1.6
For every centimeter on the model, it is 11.6 centimeters on the real plane
Step-by-step explanation:
The required value of the scale of the model in the form of 1:160.
Given that,
The wingspan of the model is 50 centimeter,
The wingspan of the real plane is 80 meter.
We have to determine,
The scale of the model and give your answer in the form 1 : n.
According to the question,
The wingspan of the model = 50 centimeter [tex]= \frac{50}{100} = 0.5m[/tex]
The wingspan of the real plane is 80 meter.
The ratio of the scale = 1:n
Therefore,
The equation of proportion is,
[tex]\frac{wingspan \ of \ the \ model}{wingspan\ of \ the \ palne} = \frac{1}{n}[/tex]
Putting all the values in the equation,
[tex]\frac{0.5}{80} = \frac{1}{n} \\\\n = \frac{1 \times 80}{0.5} \\\\n = 160[/tex]
The value of n = 160.
Hence, The required value of the scale of the model in the form of 1:160.
For the more information about Scale model click the link given below.
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Pls tell me the answer only.
A basketball is price at 37.00 if there is a 7% sales tax what is the final cost of the basketball
Answer:
$39.59
Step-by-step explanation:
37 increase 7% =
37 × (1 + 7%) = 37 × (1 + 0.07) = 39.59
Joe went on holiday to Spain.
His flights cost a total of £320
Joe stayed in an apartment for 3 weeks.
The apartment cost 560 euros each week.
Joe hired a car for 15 days.
The car hire cost 20.16 euros each day.
The exchange rate was £1 = 1.12 euros.
Work out the total cost, in pounds, of the flights, the apartment and the car hire.
The graph below shows the solution to which system of inequalities
Answer:
C. y </ 3/4x +10 and y<l -1/2x - 3
Step-by-step explanation:
Basically first do process of elimination with your focus on one equation
for example :: ( >l is greater then or equal to and <l is lease then or equal to)
focus -> y >l 3/4x + 10
1) determine which line has the y-intercept of positive 10
2) is the line dotted or straight? dotted line = > or < while straight line = >l or <l
this should get rid of B and D now
3) remember this = if the slope is - then the shaded portion would be the way that the less then sign is pointing
( y <l -4x then the shaded portion would be on the left side )
remember again = if the slope is + then the shaded portion would be the way that the greater then sign is pointing
( y <l 4x then the shaded portion would be on the right side )
so the line that we are focused on would have the right side shaded which means that it would be a <l ,so the answer would be C
hope this helped you understand how to solve these a bit better!
(tbh the day I figured how to solve these problems, I swear the whole world turned 180 degrees for me. )
Where is the circumcenter of this obtuse triangle located?
O inside the triangle
O outside the triangle
O at a vertex of the triangle
on a side of the triangle
The circumcenter of this obtuse triangle located is outside the triangle. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
If all the angles of the triangle are acute angles. Then the location of the circumcenter will lie inside the triangle.
If one of the angles of the triangle is a right angle. Then the location of the circumcenter will lie on the hypotenuse of the right-angle triangle.
If one of the angles of the triangle is an obtuse angle. Then the location of the circumcenter will lie outside the triangle.
The circumcenter of this obtuse triangle located is outside the triangle. Then the correct option is B.
More about the triangle link is given below.
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What is the range of the data set below?
25, 24, 24, 24, 33
Answer:
9
Step-by-step explanation:
the range is the difference between the greatest value and the smallest one. The greatest value in the data set is 33, and the smallest is 24.
So u just subtract 24 from 33:
33 – 24 = 9
and that's your range! hope this helps!
Determine if the graph is a function then state the domain and range.
A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.
Line Test
Draw a vertical line. Make sure that a line passes through a graph.See if a line intercepts a graph more than one point or just only one.Result
If a line intercepts a graph more than one point, it is not a function.
However, if a line only intercepts a graph just one point, it is indeed a function.
The given graph from the question is a function because it passes line test.
Domain and Range
Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.
Range is the set of all y-values. We only focus on y-value or y-axis for Range.
Determine Domain from Graph
We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.
Determine Range from Graph
Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.
From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.
Answer[tex] \begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}[/tex]
Domain is set of all real numbers.
Range is greater or equal to 0.
what is 43/10 as a mixed number
Answer:
4 3/10
Step-by-step explanation:
Answer:
4 3/10
Step-by-step explanation:
Use Sin Cos Tan to find the indicated angle
Im not smart, can someone pls help me?
Answer:
13- No because the size of the triangle can be different, meaning bigger side length
in 14 he is forgetting the lines at the angles. The little circular ones that say the angles are congruent.
Step-by-step explanation:
2. A pair of tennis shoes was purchased for $120. Since they were purchased,
their price has increased by 15%. What is the new price?
Answer:
$138
Step-by-step explanation:
$120 going up 15% = $138
An inequality is shown below.
-5x < 60
What is the solution?
Oxs 65
O x>-12
O x 65
Oxs-12
o
Answer:
-5x<60 divide both side by -5
x>-12
Mariam is a waitress at a restaurant. Each day she works, Mariam will make a guaranteed wage of $30, however the additional amount that Mariam earns from tips depends on the number of tables she waits on that day. From past experience, Mariam noticed that she will get about $9 in tips for each table she waits on. How much would Mariam expect to earn in a day on which she waits on 19 tables? How much would Mariam expect to make in a day when waiting on t t tables?
Answer:
19 tables = $201
t tables = 9t+30
Step-by-step explanation:
the slope would be 9 because she gets $9 for each table (t), 30 would be the y-intercept because she will always get that amount each week.
Insert 19 to equation:
y(t) = 9(19) + 30
Solve:
201
Hope this helped :)
Cora bought 80 feet of cable for $18.40. She needs 20 more feet. If the unit price is the same, how
much will she pay for the extra 20 feet of cable?
She will pay an extra $
Answer:
Step-by-step explanation:
20ft($18.40/80ft)=$4.60
Answer:
$4.6
Step-by-step explanation:
Use 18.40 and 80. if $18.40 is 80 feet, divide 18.40 by 4 to get 4.60. Now you know that you got 4.60, see if you can add 4.6 four times to get to 18.4. (You can.) So, 20 feet is $4.60 or $4.6.
Add
f(x) = 4x2 + 5x-1
g(x) = 2x2 + 5x + 3