Answer:
[tex]Y = (4,9)[/tex]
Step-by-step explanation:
Given
[tex]W(x_1,y_1) = (-5, 2)[/tex]
[tex]Z(x_4,y_4) = (-7, -3)[/tex]
[tex]X(x_2,y_2) = (2, 4)[/tex]
Required
Find Y
To do this, we make use of the mid-point formula
i.e.
[tex]M = \frac{1}{2}(x_n+x_m,y_n+y_m})[/tex]
WX and ZY are the diagonals of the parallelogram.
The mid-point of WX is:
[tex]M = \frac{1}{2}(-5+2,2+4)[/tex]
[tex]M = \frac{1}{2}(-3,6)[/tex]
The mid-point of ZY is:
[tex]M = \frac{1}{2}(-7+x,-3+y)[/tex]
Equate both values of M
[tex]\frac{1}{2}(-3,6) = \frac{1}{2}(-7+x,-3+y)[/tex]
Multiply both sides by 2
[tex](-3,6) = (-7+x,-3+y)[/tex]
By comparison:
[tex]-7 + x = -3[/tex]
[tex]-3 + y = 6[/tex]
[tex]-7 + x = -3[/tex]
[tex]x = 7 -3[/tex]
[tex]x = 4[/tex]
[tex]-3 + y = 6[/tex]
[tex]y = 6 +3[/tex]
[tex]y = 9[/tex]
Hence:
[tex]Y = (4,9)[/tex]
What is the value of (6/8)^2 written as a fraction in lowest terms?
Answer:
i think it is 9/16
Step-by-step explanation:
good luck
10,000-99,999 < 0. true or false
What is the distance between the points (−8, 5) and (−8, −1)?
Answer:
6
Step-by-step explanation:
a pet store had 17 rabbits.They had 5 fewer cats than rabbits.Write and solve an equation to find how many rabbits and cats they have all together
Answer:either mutilying or dividing so 17 divided by 5 will be 3.4 in decimal form and multiplying 17 x 5 = 85
Step-by-step explanation:
Find the slope of the line passing through the
points (3, 2) and (-1, -8).
5. James makes $15.50 per hour and works 40 hours a week. He pays 26% of his gross earnings in federal and state
taxes. He also saves 7.5% of his monthly gross income to put into savings. He is considering renting an apartment tha
will cost $1,400 per month. Based on his expenses, can he make the monthly payments?
9514 1404 393
Answer:
no
Step-by-step explanation:
On average, there are about 173 1/3 hours per month, so James's take-home pay will be about ...
($15.50/h)(173 1/3 h/mo)(1 -26%) = $1988.13
His proposed rental is about ...
1400/1988.13 · 100% = 70.4%
of his take-home pay.
Most financial planners would recommend the percentage be well below 50%. It is unlikely James can make his proposed monthly payments.
what is the best prediction of the time required for the oil spill to reach a diameter of 10 km?
Answer:
i dont think that this is all of the information.
Step-by-step explanation:
y>4x-9 ordered pairs
The sum of two numbers is 18. The difference between the two numbers
is 12. What is the two numbers?
WIL GIVE BRAINLIEST!
Consider the following.
a number added to the difference between triple the number and thirteen
Translate into a variable expression. (Use x for your variable. Do not simplify.)
Answer: 4x - 13
Step-by-step explanation:First, we need to get triple of x:
Triple of x is: 3x
Next is to get the difference between 3x and 13:
x + 3x -13
4x - 13
Hence, the variable expression is 4x - 13
correct answer gets brainliest
Answer:
The first answer choice should be correct
Simplify the expression completely:
(5x+20)/(x^(2)+7x+12)*(x+3)/(7)
Answer 5/7 or 0.714285
Step-by-step explanation:
What is the area, in square centimeters, of the parallelogram
below?
12 cm
8 cm
A.48
B.84
C.96
D.108
Answer: 96cm² or C
Step-by-step explanation:
Area of parallelogram = b × h
b = 12
h = 8
12 × 8 = 96
The area of this parallelogram is 96cm²
I need help with 9 and 10
#9) 180 - 116 = 64
(3x -13) + ( 2x +4 ) + 64 = 180
5x - 9 + 64 = 180
5x = 180 + 9 - 64
5x = 125
x = 25
#10) 3x - 13
= (3× 25) - 13 = 62
m< A = 62°
jessalyn has a part-time job during the summer months. after payday on friday,she spent one seventh of her paycheck on a manicure and pedicure.if th manicure and pedicure cost $65, how much was he paycheck
if you were to reflect figure ABCD over the line of reflection y=x, what would be the coordinate if A’ be?
Answer:
The x coordinates and y coordinates will switch places with each other.
Step-by-step explanation:
A' coordinates will go from (x,y) to (y,x) so the coordinates will switch.
Quadrilateral MNPQ is shown.
Trapezoid M N P Q is divided into 4 triangles by N Q and M P, which intersect at point R inside the trapezoid. N P is parallel to M Q and M N is congruent to Q P. Angle N M P is 30 degrees and angle P M Q is 32 degrees. Segment Q R equals 4.1.
If MP = 5.9, what is RN?
(Round your answer to the nearest tenth. Write NA if there is not enough information given.)
Answer:4.1
Step-by-step explanation:
In the Quadrilateral MNPQ, if MP = 5.9, then RN = 1.8.
What is a trapezoid?An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.
Given:
Quadrilateral MNPQ is shown.
Trapezoid MNPQ is divided into 4 triangles by NQ and MP.
MQ is parallel to NP.
That means, MQ and NP always at the equal distance.
MN ≅ QP
So,
MP = QN
Now,
QN = QR + RN and QR = 4.1:
MP = QN
5.9 = 4.1 + RN
Then RN = 5.9 - 4.1 = 1.8
Therefore, the value of RN is 1.8.
To learn more about the trapezoid;
https://brainly.com/question/8643562
#SPJ2
What is 7x6.3 help pls I hate math
Answer:
7×6.3 answer will be is 44.1
24.55 rounded to the nearest hundred
sorry for posting so much i missed the whole lesson
Answer:
3(-x-11)(2x-5)
Step-by-step explanation:
HELP HELP
IMPORTANT!
I’ll mark u brainliest
Answer:
D = 50
B = 100
C = 100
A = 42
? = 138 degrees
Note: 180 - 130 = 50
180- (30+50) = 100
180-(38+50) = 42
180-42 = 138
help I don't understand
Answer:
sum of interior angle of polygon=(6-2)×180
x+90+x+9+145+156+120=720
2x=720-520
x=200/2=100
What is AC?
A:2 root 5
B:3 root 5
C:6
D:9
Whats 3/7 multiplied by 14/18.Make sure ur answer is fully reduced.
Answer:
1/3
Step-by-step explanation:
3×14 = 42
7×18 = 162
simplify by dividing them each by 42 and you get 1/3
Answer:
1/3
Step-by-step explanation:
just multiply per usual then reduce it
The area of a rectangle whose base measures 4 cm is greater than 24 cm. Which graph represents all possible values for the height of the rectangle?
A number line going from 2 to 8. An open circle is at 6. Everything to the right of the circle is shaded.
A number line going from 2 to 8. An open circle is at 6. Everything to the left of the circle is shaded.
A number line going from 20 to 26. An open circle is at 24. Everything to the left of the circle is shaded.
A number line going from 20 to 26. An open circle is at 24. Everything to the right of the circle is shaded.
Answer:it’s A
Step-by-step explanation: I did it on edg
I forgot how to do these, can someone rEmInD mE? :'v <33
Answer:
a squared + b squared = c squared
Liz buys packets of coloured buttons.
There are 8 red buttons in each packet of red buttons.
There are 6 silver buttons in each packet of silver buttons.
There are 5 gold buttons in each packet of gold buttons.
Liz buys equal numbers of red buttons, silver buttons and gold buttons.
How many packets of each colour of buttons did Liz buy?
Answer:
She buys 120 buttons, if you divide 8 by 120 you get 15, so she buys 15 red bags,20 silver bags,and 24 gold bags.
Are the triangles similar?
Answer:
yes by the aa rule in the problem
24.5 is 33 1/3% of what number?
Answer: 73.5
Step-by-step explanation:
The percent 33 1/3% represents 1/3 of 100%. We can multiply 33 1/3% by 3 and get 100%. We need to find what 24.5 is 33 1/3% of.
Since 1/3 x 3 = 100%, then 24.5 x 3 must equal the number we're trying to find.
24.5 x 3 = 73.5.
Therefore, 24.5 is 33 1/3% of 73.5. I hope this helps, and good luck!
A hut in Tulum, Mexico 8 1/4 mi long. It has a width of 4/5 miles long, and 1/3 miles tall. Whatcis the volume of the hut
Answer:
[tex]V=2.2\ \text{miles}^3[/tex]
Step-by-step explanation:
Given that,
The length of hut, [tex]l=8\dfrac{1}{4}\ mi=\dfrac{33}{4}\ mi[/tex]
Width of the hut, [tex]b=\dfrac{4}{5}\ mi[/tex]
Height of the hut, [tex]h=\dfrac{1}{3}\ mi[/tex]
We need to find the volume of the hut. The volume of hut will be equal to volume of cuboid i.e.
[tex]V=lbh\\\\V=\dfrac{33}{4}\times \dfrac{4}{5}\times \dfrac{1}{3}\\\\V=2.2\ \text{miles}^3[/tex]
So, the volume of the hut is [tex]2.2\ \text{miles}^3[/tex].