Given:
The three vertices of the parallelogram are (-3,9), (0,-3), (6,-6).
To find:
The fourth vertex of the parallelogram.
Solution:
Consider the three vertices of the parallelogram are A(-3,9), B(0,-3), C(6,-6).
Let D(a,b) be the fourth vertex.
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
We know that the diagonals of a parallelogram bisect each other. So, the midpoints of both diagonals are same.
Midpoint of AC = Midpoint BD
[tex]\left(\dfrac{-3+6}{2},\dfrac{9+(-6)}{2}\right)=\left(\dfrac{0+a}{2},\dfrac{-3+b}{2}\right)[/tex]
[tex]\left(\dfrac{3}{2},\dfrac{3}{2}\right)=\left(\dfrac{a}{2},\dfrac{-3+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{3}{2}=\dfrac{a}{2}[/tex]
[tex]3=a[/tex]
And,
[tex]\dfrac{3}{2}=\dfrac{-3+b}{2}[/tex]
[tex]3=-3+b[/tex]
[tex]3+3=b[/tex]
[tex]6=b[/tex]
Therefore, the fourth vertex of the parallelogram is (3,6).
There are 3 sisters who share a health bar.
They each get the same amount.
What fraction of the health bar does 1 sister get?
5 because it is and it is because 272
Answer:
1/3
mulitply 3 x 1 = 3 so 1/3
can anybody help with this question please!?!
Answer:
73
Step-by-step explanation:
According to Triangle Sum Theorem, the 3 interior angles of a triangle adds up to 180 degrees.
So, you can take the other 2 interior angles to find the third on:
180-72-35=73
<1=73 degrees
LMNP is rotated 90° clockwise around the origin.
What are the coordinates of P'?
Answer:it’s (0,-9)
Step-by-step explanation:
I’m taking the quiz and it’s right
Find the volume Help ASAP pleat
Answer: 330 yd³
Step-by-step explanation:
v = whl
v = 6 x 11 x 5
v = 66 x 5
v = 330 yd³
Find a polynomial equation that has zeros at x = -2, x = 0, x = 3 and x = 5
es )
A)
y = (x + 2)(x − 3)(x - 5)
B)
y = (x − 2)(x + 3)(x + 5)
C)
y = (x - 2)(− 3)(x - 5)
D)
y = x(x + 2)(x - 3)(x - 5)
Answer: its B
Step-by-step explanation:
17 quarts of soil are used to completely fill 4 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold
Given:
17 quarts of soil are used to completely fill 4 flower pots.
To find:
The number of quarts hold by each pot if each pot holds the same amount of soil.
Solution:
Let [tex]x[/tex] be the number of quarts hold by each pot.
Total number of quarts hold by 4 flower pots = [tex]4x[/tex]
It is given that, 17 quarts of soil are used to completely fill 4 flower pots.
[tex]4x=17[/tex]
[tex]x=\dfrac{17}{4}[/tex]
[tex]x=4.25[/tex]
Therefore, the each pot holds 4.25 quarts of soil.
Help fast
2) Find KL
Answer:
kl of ????????????
Step-by-step explanation:
Answer:
it would be 61 + 90, then u would get j
Step-by-step explanation:
90^2+61^2=j^2
so the answer/ j would be 108.72 feet
HELP HELP HELP PLEASE ASAP
Answer:
negative numbers
Step-by-step explanation:
yes...........
Answer:
Negative numbers
Step-by-step explanation:
Hope this helps!
Which of the parabolas below have been shifted 5 units to the right and 7 units
up?
Answer:
Step-by-step explanation:
can an even function have an inverse function? if so give an example, if not explain why it's impossible
can an absolute function value have an inverse function?
please help i’ll mark brainliest!! :)
Answer: Even functions do not have an inverse function,
A function must be injective and it has to be surjective.
I need help with a math problem ASAP!!!
Find the missing side. Round to the nearest tenth. (Please explain if you can)
HELP ME please i am have a bit trouble
Answer:
with what do you need help on
can someone help me out ? i'm new to it
Answer:
the bill depends on the how many people
Please help me. I am doing an important assessment.
Answer:
B. Samuel will pay 10 dollars less if he buys the boots from store a
Step-by-step explanation:
25% of 80 is 20 80-20 is $60 is he buys at store a
80-10 is $70 if he buys at store b
Helppppp meeee!!! Pleaseeeeeeeeeeew
Answer:
D
Step-by-step explanation:
3 to the third power is 27
you multiply powers
What’s the volume of the prism ?
Answer:
63[tex]cm^{3}[/tex]
Step-by-step explanation:
To find the volume of this prism, all you need to do is multiply the height, the width, and the length of the prism. The height is 3, the length is 7, and the width is 3. So 3·3·7=9·7=63. Now we have to add the label, which is cm. We are multiplying 3cm by 3cm by 7cm, which makes it [tex]cm^{3}[/tex]. Now you just multiply [tex]cm^{3}[/tex] and 63 together, which gets you 63[tex]cm^{3}[/tex].
The half of the moon facing the sun is always lit, but the different phases we view from Earth happen because:
the Earth moves to different positions around the Sun
we only see parts of the lit side as the moon goes around the Earth
only part of the light gets reflected to Earth
the spinning of the moon lets us see different amounts of light
Answer:
The half of the moon facing the sun is always lit, but the different phases we view from Earth happen because:
we only see parts of the lit side as the moon goes around the Earth.Step-by-step explanation:
The moon phases occur because the Sun lights different parts of the Moon as the Moon revolves around the Earth. So, we only see the parts of the Moon that are being lit while it orbits Earth.
Use the given information to find the value of x. Then, find the measure of angle ADC.
Answer:
x=68
>ADC= 133
Step-by-step explanation:
90+2x+1+2x-3=360
4x+88=360
4x=272
x=68
>ADC= 2(68)-3= 133
The side lengths of a triangle are 5, 10, and 13. Is this a right triangle?
O A. No, because 5 + 10 + 13.
B. Yes, because 52 + 102 < 132.
C. No, because 52 +102 + 132.
D. Yes, because 52 + 102 = 132.
Answer:
As it can be seen in the attachment below,making C the correct answer hope it helped
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I took the quiz .
Solve -4x+y=-1 and Y=2x-5 using substitution
Answer:
x= -2, y= -9
Step-by-step explanation:
let -4x+y=-1 be [1]
and y=2x-5 be [2]
Sub [2] into [1]
-4x+(2x-5)=-1
-4x + 2x -5 = -1
-2x -5 = -1
-2x = 4
2x = -4
x = -2
Sub x=-2 into [2]
y=2(-2)-5
y=-4-5
y=-9
plz help with this one right here
Answer:
288
Step-by-step explanation:
Find the value of x in each figure
Answer:
67°
Step-by-step explanation:
There are a total of 180° in a triangle.
Step 1:
180° - 46° = 134°
Step 2:
134° / 2 = 67°
x° = 67°
Hope this helps! :D
The value of each x is 67
which equation best matches the graph shown below ?
what is the quotient of 2 1/2÷1/6
Answer:
.65625
Step-by-step explanation:
Answer:
The answer is 15
Step-by-step explanation:
Can someone help me with this pls I NEED HELP PLS
Answer:
B(4,8) C(5,1) D(9,6) E(2,10) F(0,5) G(7,2)
Step-by-step explanation: If it is going left subtract from the first number. If it is going down subtracting from the right number. If it is going right it is adding to the first number if going up adding to the second number
A college student completed some courses worth 4 credits and some courses worth 5 credits. The student earned a total of 74 credits after completing 17 courses. How many courses worth 4 credits did the student complete?
please help me
Answer:
4x+5y=74
six 5 credit cources and 11 four credit cources
if u substitute in the value its correct
4(11)+5(6)= 44+30 which is 74
and 11 plus 6 is 17 cources so there you go!
find the value of given expression
[tex] \sqrt{ \frac{72}{2} } [/tex]
Answer:
36
Hope it helps...
Have a great day :P
Answer:
6
Step-by-step explanation:
[tex] \sqrt{72 \div 2} [/tex]
[tex] \sqrt{2 \times 2 \times 2 \times 3 \times 3 \div 2} [/tex]
[tex]6 \sqrt{2 \div 2} [/tex]
[tex]6 \sqrt{1} [/tex]
[tex]6[/tex]
Simplify the expression:
2(3 + 2m)
Answer:
4m + 6
Step-by-step explanation:
Hello There!
We can simplify the expression by distributing the 2 to what is inside of the parenthesis ( 3 and 2m)
3 * 2 = 6
2 * 2m = 4m
so the expression 2(3 + 2m) simplified would be
4m + 6
Answer: 6+4m
Step-by-step explanation:
Let's take our equation first
2(3+2m)
Now we need to distribute the 2 into the parenthesis'
This would mean we need to multiply 2 by 3 and 2m
our answer would be
6+4m
WE CAN'T SIMPLIFY THIS ANYMORE
31. Which number is both a factor of 60 and a multiple of 3? Select three that apply.
A 1
B 2.
C 6
(D 12
(E 15
6 36
ANSWER:
C.6
D.12
E.15
PLEASE MARK ME AS BRAINLIEST...