The midpoint of AD is C. The midpoint of AC is B. If A is at (-10,4) and D is at (2,12), find the coordinates of B. Group of answer choices (-5,5) (-4,8) (-2.5,9) (7,6)
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.
Solve by Elimination:
x - 2y = 4
X - 1y = 2
its urgent
Answer:
x = 0 and y = -2
Step-by-step explanation:
x - 2y = 4 and X - 1y = 2
you mentioned elemination aka substraction
so you when substract x - x = 0 -2y -( -y) = -y and 4 -2 = 2
so - y = 2
or y = 2
now substitute the numbers
x + 4 = 4
x = 0
and try it with one of the equation or sometimes trying on both of them can be very helpful
Which of the following are solutions to the equation below?
Check all that apply.
(3x- 5)2 = 19
7. Write an expression that is equivalent to
5({r - 8). State the property that justifies
your answer.
Answer:
5r - 40
Step-by-step explanation:
If you simplify 5(r - 8), you will get 5r - 40. This is called distributed property.
Hope this helps, thank you !!
if m<y=(2x-3)°,m<z=(13x-41)°, and <a is a straight angle, find the sum of the measures of the two angles.
Answer:
[tex]Sum = (15x - 44)^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\angle y = (2x - 3)^{\circ}[/tex]
[tex]\angle z = (13x - 41)^{\circ}[/tex]
Required
Calculate the sum of the two angles
[tex]Sum = \angle y + \angle z[/tex]
[tex]Sum = (2x - 3)^{\circ} + (13x - 41)^{\circ}[/tex]
Collect Like Terms
[tex]Sum = (2x +13x)^{\circ} - (3+ 41)^{\circ}[/tex]
[tex]Sum = (15x)^{\circ} - (44)^{\circ}[/tex]
[tex]Sum = (15x - 44)^{\circ}[/tex]
Hence, the sum of the two angles is 15x - 44
HELP PLEASEEEE
Round three eighths to the nearest half.
Question 1 options:
0
one half
1
one and one half
Question 2 (2 points)
(10.04 LC)
Round ten twelfths to the nearest half.
Question 2 options:
0
one half
1
one and one half
Question 3 (2 points)
(10.04 LC)
Round each fraction to help you estimate the solution for the following equation:
eight tenths plus nine tenths equals
Question 3 options:
one half
1
one and one half
2
Question 4 (2 points)
(10.04 LC)
Round each fraction to help you estimate the solution for the following equation:
one sixth plus five sixths equals
Question 4 options:
0
one half
1
2
Question 5 (2 points)
(10.04 LC)
Round each fraction to help you estimate the solution for the following equation:
seven twelfths plus two twelfths equals
Question 5 options:
one half
1
one and one half
2
Question 6 (2 points)
(10.04 LC)
Round each fraction to help you estimate the solution for the following equation:
nine tenths minus four tenths equals
Question 6 options:
0
one half
1
one and one half
Question 7 (2 points)
(10.04 LC)
Round each fraction to help you estimate the solution for the following equation:
nine tenths minus eight tenths equals
Question 7 options:
0
one half
1
one and one half
Question 8 (2 points)
(10.04 LC)
Round each fraction to the nearest half and find the estimate.
two sixths plus one sixth equals
Question 8 options:
one half
1
one and one half
2
Question 9 (2 points)
(10.04 MC)
Round each fraction to the nearest half to find the estimate.
A stegosaurus eats ten twelfths of a plant and then eats two twelfths of the plant later. Estimate how much of the plant the dinosaur ate in all. Explain your thinking.
Answer:
1/2 ; 0 ; 2 ;
Step-by-step explanation:
3 / 8 to the nearest half
3/8 = 0.375
Using a number line, 0.375 is closer to 1/2 =0.5, than to 0 ; hence, 3/8 = 1/2(nearest half
2.) 2 /12 = 0.16666
2/12 = 0 (nearest 1/2)
3.) eight tenths plus nine tenths equals
8/ 10 + 9/10 = 17/10
17 /10 = 1.7
1.7 = 2 (nearest 1/2)
William’s team won 16 games and lost 4 games. Tracey’s team won 15 games and lost 5 games. Whose team had the greater ratio of wins/losses?
Answer: William's is 16:4 and Tracey's are 15:5
Step-by-step explanation:
Juan's mother gave him a recipe for trail mix.
3
4
cup cereal
2
3
cup almonds
1
3
cup raisins
1
2
cup peanuts
Order the ingredients used in the recipe from least to greatest.
Answer:
Cereal 3/4, Almonds 2/3, Raisins 1/3, Peanuts 1/2
Step-by-step explanation:
This is in The order from Least to Greatest and i hope this helps you i had to do a little thinking about it first. :)
A. 28
B.30
C.15
D.20
Answer: B
Step-by-step explanation:
30 times 1 equals 30 and there are no other values
4. Answer the question below using complete sentences. * Rae made a table of x and y values. The relationship between the x and the y values in Rae's table is not a function. One of the values of x is missing from Rae's table, as shown. What is a value of x that Rae could use to complete her table to show that the relationship between x and y is not a function? explain your answer
Answer:
Any of x = {-3, 5, -1, 0}Step-by-step explanation:
Since the relationship in the table is not a function, Rae could put any values for x that is already in the table.
x = -3, 5, -1, 0This will result in repeat of x-values with different corresponding y-values.
Carl earns grades of 62, 78, 59, and 89. What is the mean of his grades?
Answer:
72 is the correct answer
i will really appreciate it if you guys could help me out .
Answer: he owes him 3 cents
Step-by-step explanation:
Answer:
3$
Step-by-step explanation:
you got to do 8 minus 5.
I don’t know how to do this o need help plz
Use the Pythagorean Theorem or knowledge on special right triangles to find the missing variable in the following triangles.
Round your answer to the nearest hundredth when necessary (help ASAP)
Answer: K = 28^2, C = x^2, W = X^2, G = 22^2, T = X^2, and last but not least, A = X^2.
Step-by-step explanation:
For this you need to use the Pythagorean Theorem formula. A^2 + B^2 = C^2. Then you plug in your numbers. For this problem. You got figure out your As, your Bs, and last but not least, your Cs.
I hope this helps you solve the problem.
Please help whats the answer
Four basketballs and six baseballs cost $44. Five basketballs and four baseballs costs $48. Determine the cost for one basketball and one baseball.
Answer:cost for basket ball= $8 and
cost of baseball = $2
Step-by-step explanation:
Step 1
Let the cost of basket ball be represented as x
and cost of baseball = y such that
Four basketballs and six baseballs cost $44 will be expressed as
4x+ 6y= 44 --- eqn 1 also
Five basketballs and four baseballs costs $48 will be expressed as
5x+ 4y= 48--- eqn 2
Step 2
Having obtained two expressions we can now sole
4x+ 6y= 44 --- eqn 1
5x+ 4y= 48--- eqn 2
multiplying eqn 1 by 5 and eqn 2 by 4
20x+ 30y =220---- eqn 3
20x+ 16y=192-----eqn 4
subtracting equation 4 from 3 we now have
14y=28
y= 28/14
y=2 = $2
from equation 1
4x+ 6y= 44, putting the value of y=7 to find x
4x+ 6(2)= 44
4x+12= 44
4x= 44-12
4x=32
x= 32/4
x=8=$8
cost for basket ball= $8 and
cost of baseball = $2
BRAINLIEST ....................................
9514 1404 393
Answer:
(b) 7720 mm² of paper
Step-by-step explanation:
The central horizontal rectangle of the net is 80 mm high and ...
40 + 5.5 + 40 + 5.5 = 91
mm long. Its area 9 is ...
(80 mm)(91 mm) = 7280 mm²
__
The two pieces of the net not accounted for above are the "flaps" above and below the central rectangle. Each of those two has an area of 40 mm by 5.5 mm, so their total area is ...
2(40 mm)(5.5 mm) = 440 mm²
Then the area of paper needed for the wrapper is ...
total area = 7280 mm² + 440 mm²
total area = 7720 mm²
6x + 9 = 27
what is x?
please answer I have a freaking e in my math class
Answer: I would answer but the image is blocked for me- can you type the problem by any chance?
Step-by-step explanation:
Answer:
3 feet
Step-by-step explanation:
Initial value usually means the y value when x=0
PLEASE HELP ME! 5 questions, I need to know how to get to the answer, not the answer, please. =(
(If you don't know, don't answer. your just taking my points and are not helping me at all)
If you can help, please, DOO!
Thank you.
There are 5 questions.
Answer:
first one is .6
second is -3.6105
third is -3
fourth could be either 1/4, .25, or 2^-2 (they're all the same thing though)
last one could be either 1/3, .3, or 3^-1 (they're all the same thing though)
10 is 60% of what number please help
Answer:
600
Step-by-step explanation:
set x as the number
x0.10 = 60
x = 60/0.10
x = 600
Answer:
For me i think its 16.67 well im not fully sure
Step-by-step explanation:
SO we have to figure out what gives us 10 and that will be represented as "x"
[tex]\frac{60}{100}[/tex] × x = 10
Multiplying both sides by 100 and dividing both sides by 60,
we have x = 10 × [tex]\frac{100}{60}[/tex] so, x = 16.67
(that's what i believe but i don't know)
PLEAASSEE PLLEEAAASSSEEE SOMEONE ANSWER THIS IS URGGEENNNTTTT!!!!!!!!!!!!!!!!!!!!! I'LL EVEN GIVE YOU BRAINLIST!!!!!!!!!!!!!!!!!
Candice has a bag with 4 green, 7 orange, and 9 blue Skittles in it. She randomly selects one Skittle to eat and then another. Is this dependent or independent probability?
A. independent
B. dependent
Answer:
Step-by-step explanation:
Solve the system by substitution. Check your solution. A minus 1.2 b = negative 3. 0.2 b + 0.6 a = 12 a. (15, 15) c. (13, 12) b. (10, 12) d. (7, 9)
Answer:
The answer to the question is -1.32
Step-by-step explanation:
The first step will be to write out the equation that we are working with:
This equation is
[tex]0.2b + 0.6a = 12[/tex]
The next step is to write out the values of the figures that we are substituting:
[tex]a = -1.2 b=-3[/tex]
Substitution in mathematics can best be understood as "something being used in place of another thing". This means that wherever the first variable appears in an equation, the substituting values will replace it and multiply the number it is attached to.
In this case, we will replace the 'b' and the 'a' with the - 1.2 and - 3 respectively.
[tex]0.2(-3) + 0.6(-1.2) = -1.32[/tex]
Answer:
The answer is A. (15,15)
Step-by-step explanation:
edge21
A basketball is price at 37.00 if there is a 7% sales tax what is the final cost of the basketball
Answer:
$39.59
Step-by-step explanation:
37 increase 7% =
37 × (1 + 7%) = 37 × (1 + 0.07) = 39.59
Suppose one batch of cookies requires ⅔ cup of flour. How many batches can be made with 4 cups of flour?
Answer:
6 batches
Step-by-step explanation:
Answer:
the answer is 8/3 u have to mutplay
Step-by-step explanation:
The area of a square is 81 m2. What is an exponent to express this area? Please help!
Answer:
[tex]9^{2}[/tex]
Step-by-step explanation:
Hope that helps!
PLEASEEEE HELPPPPPP!!!
Answer:
18
Step-by-step explanation:
PLS HELP The width of Ben's rectangular family
room is 3 feet less than the length.
The perimeter is 70 feet. What is the
length of the family room?
Answer:
19 feet
Step-by-step explanation:
The perimeter is calculated by multiplying the sum of length and width by 2
width is 3 less than length so if we call the width x the length would be x + 3
2×(x + x + 3) = 4x + 6 and
4x + 6 = 70 subtract 6 from both sides
4x = 64 divide both sides by 4
x = 16
The length is x + 3 so the answer is 19 feet
Jeremy received a Bill with a balance due of 25.60
Answer:
6.40$
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
Please help
Select ALL the true equations.
1. 5 + 0 = 0
2. 15 x 0 = 0
3. 1.4 + 2.7 =4.1
4. 2/3 x 5/9 = 7/12
5. 4 2/3 = 5 - 1/3
The True equations are
2. 15 x 0 =0
3. 1.4 + 2.7 = 4.1
5. 4 2/3 = 5- 1/3
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
1. 5 + 0 = 0
5 = 0
This is not an equation because LHS ≠ RHS.
2. 15 x 0 =0
0= 0
This is an Equation.
3. 1.4 + 2.7 = 4.1
4.1 = 4.1
This is an Equation.
4. 2/3 x 5/9 = 7/12
10/ 27= 7/12
This is not an Equation.
5. 4 2/3 = 5- 1/3
14/3 = 14/3
This is an Equation
Learn more about Equation here:
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