Answer:
[tex]x = \frac{58}{7} ,y = - \frac{22}{7}[/tex]
Step-by-step explanation:
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Answer:
1400 is the volume and the surface area 980
Step-by-step explanation:
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The coordinates of parallelogram UVWZ are U(a, 0), W(c-a, b), and Z(c,0). Find the coordinates of V without using any new variables
A• (0, b)
B• (c, b)
C• (a, b)
D• (b, 0)
Answer: Choice A.
(0, b)
==================================================
Explanation:
Pick any random 3 numbers you want for a,b,c.
a = 1b = 2c = 3The points U, W and Z become
U = (a,0) = (1,0)W = (c-a, b) = (3-1, 2) = (2,2)Z = (c, 0) = (3, 0)Or in short,
U = (1,0)W = (2,2)Z = (3, 0)Plot each of those points on the same xy grid.
Next, using a different color, plot each of the answer choices.
A is at (0,b) = (0, 2)B is at (c,b) = (3,2)C is at (a,b) = (1,2)D is at (b,0) = (2,0)You should find that point A helps form a parallelogram, while the other answer choices don't lead to a parallelogram.
See the screenshot below. I used GeoGebra to make the diagram. Desmos is another useful tool as well.
What is the range of the following data values? 16, 23, 55, 64, 49 O A. 80 B. 48 C. 16 O D. 64 SUE
Answer:
B. 48.
Step-by-step explanation:
16, 23, 55, 64, 49
Range = highest value - least
= 64 - 16
= 48.
Hi! Could I get some help with finding the perimeter of Triangle PMN, please? No need to solve the other question that one has already been answered. Thank you!
Answer:
55
Step-by-step explanation:
ΔVMW ~ ΔPMN, because as their bases are parallel, it means their angles are equal.
===============================================================
Finding the scale factor :
⇒ VW : PN
⇒ 6 : 15
⇒ 2 : 5
==============================================================
Finding WN :
⇒ MW : WN = 2 : 5
⇒ 8 : WN = 2 : 5
⇒ 8/WN = 2/5
⇒ WN = 8/2 × 5
⇒ WN = 20
=============================================================
Perimeter of ΔPMN :
⇒ Perimeter = MP + PN + MW + WN
⇒ Perimeter = 12 + 15 + 8 + 20
⇒ Perimeter = 27 + 28
⇒ Perimeter = 55
B(3a,2b)
PLEASE HELP
a
E
What is the
coordinate for
midpoint E?
A(-3a,-2b) D(a,-2b)
C(5a,-2b)
A
B
C
(4a, 0)
(0,0)
(0,46)
Answer:
Step-by-step explanation:
The coordinates of E(4a, 0).
What is mid point?A midpoint is a point in the middle of the line connecting two points that lies between them. The midpoint is a point that lies in the middle of the line and is equidistant from the two points if a line is drawn to connect them.
The midpoint between two points whose coordinates are known to us can be found using the midpoint formula. If we know the coordinates of the other endpoint and the midpoint, we can also use the midpoint formula to determine the coordinates of the endpoint.
Given coordinates
A(-3a, -2b), D(a, -2b), C(5a, -2b) and B(3a, 2b)
to find the coordinates of E,
and E is midpoint of B and C
for coordinates of midpoint is (x, y) = [(x₂ + x₁)/2, (y₂ + y₁)/2]
here B = (3a, 2b) = (x₁, y₁)
and C = (5a, -2b) = (x₂, y₂)
x = (5a + 3a)/2 = 8a/2 = 4a
y = (-2b + 2b)/2 = 0/2 = 0
E(4a, 0)
Hence coordinates of E are (4a, 0).
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How many numbers have an absolute value of 4/5
Answer:
2
Step-by-step explanation:
only 4/5 and -4/5 are 4/5 away from 0
Answer:
Two. 4/5 and -4/5
Step-by-step explanation:
absolute value means distance from zero. 4/5, and -4/5 are the only two numbers that are 4/5 away from zero, so the is two numbers. if you have anymore questions asking how many numbers have a specific absolute value, the answer is two as well.
In a circle, the length of an an arc intercepted by a central angle is 12mm, and the radius of the circle is a 8 mm. What is the measure, in radians, of the angle?
[tex]\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ s=12\\ r=8 \end{cases}\implies 12=8\theta \implies \cfrac{12}{8}=\theta \implies \cfrac{3}{2}=\theta[/tex]
What is the reference angle for a 240° angle? 30° 60° 180° 270° Mark this and return
The reference angle for a 240° angle is 60°
How to calculate reference anglesA reference angle is the angel that is found on the first quadrant of a a circle.
The angle that is being measured is in the third quadrant of a circle, we will subtract 180° from the given angle.
Therefore, the reference angle for a 240° is =
240-180= 60°
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Question:
Using only a compass and a straightedge, you are constructing a line perpendicular to AB and passing through a given point, M, on AB. With a compass of set width, you have drawn arcs that intersect AB on each side of M and marked the two intersection points as P and Q.
Options:
-P and set its width to M
-M and set its width beyond P
-P and set its width beyond M
-M and set its width to half the distance between P and M
The construction goes with P and set its width to M.
The correct option is (A).
What is perpendicular bisector ?
A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of figure.
Now, a line perpendicular to AB and passing through an external point M.
first step :Put the compass needle on M and, keep the compass width the same then draw two arcs that intersect AB.
Second step: After drawing arcs, from the intersecting points named P and Q.
Now, keeping the width of compass same as before and to the opposite side of M draw an arc named it as M'
Third step: Using straightedge draw line passes through M.
The lines which passes through M will be perpendicular to AB.
The above discussed are steps to draw perpendicular bisector of AB.
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Solve for x: 1 < X + 3 < 4
Answer:
for soln 1: X < -2; for soln 2: X < 1
Step-by-step explanation:
This is two set problem involving inequality. Therefore, you have to solve for each side of the inequality to know the values of X for each sides.
1 < X + 3 < 4
Soln 1. solve for the first side of the inequality
1 < X + 3
1 - 3 < X
-2 < X
X > -2
soln 2: solve for the second side of the inequality
X +3 < 4
X < 4 - 3
X < 1
Therefore, X > -2; X < 1
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A company sells calculators. If the price of the calculator in dollars is p, the company estimates
that it will sell 10,000-120p calculators.
Write an expression that represents the revenue in dollars from selling calculators if a calculator is
priced at p dollars.
The expression that represents the revenue in dollars from selling calculators if a calculator is priced at p dollars would be [tex]10,000p - 120p^2.[/tex]
How to calculate the revenue?The revenue can be calculated as
revenue = the price of calculator x the number of the calculator
A company sells calculators. If the price of the calculator in dollars is p, the company estimates that it will sell 10,000-120p calculators.
The price of calculator is p.
The number of the calculator is 10,000-120p.
revenue = the price of calculator x the number of the calculator
[tex]p(10,000-120p )\\\\10,000p - 120p^2\\\\[/tex]
The expression that represents the revenue in dollars from selling calculators if a calculator is priced at p dollars would be [tex]10,000p - 120p^2.[/tex]
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Why would the volumes of the two figures be the same?
I can't solve it, so, here goes nothin'. "Some people are on a train, 19 people get off at one stop, then, the next one 13. Now there are only 63 people on board. But 4 get off and 10 get on. What's the answer?"
19+13=32
32+63=95
95-4=91
91+10=101
This means that 101 people are now on the bus.
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A company needs a faster computer to enhance its e-business capabilities. the computer can be purchased for $1890 or rented for $900 plus $90 per month. what is the maximum number of months the computer could be kept so that it is cheaper to rent than to buy?
The maximum number of months the computer could be kept so that it is cheaper to rent than to buy is 10 months.
What is the maximum number of months?The first step is to determine the month in which the two options would have the same cost. The equation that can be used to determine this value is:
$1890 = $900 + 90t
90t = 1890 - 900
90t = 990
t = 990 / 90
t = 11 months
The maximum number of months = 11 months - 1 = 10 months
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40 Points!!!
What are the domain and the range of this function?
Answer: The domain of a function is the set of values that we are allowed to plug into our function.
Step-by-step explanation:
1.
mr. reed received a loan for 3500.00, the loan is for 2 years at 6.75% interest rate, how
much interest will mr. reed have to pay? (calculate using simple interest and
compound interest).
Answer:
3500,00 (2 multiply by 6,75%)
3500,00 (2 multiply by 6,75 divide by 100)
3500,00 ( 2 multiply by 0,0675)
3500,00 multiply by 0,135
= R472,50
What are the factors of 6x2 37x−60? 3x−4 and 2x 15 3x 4 and 2x−15 2(x−2) and 3(x 5) 2(x 2) and 3(x−5)
The factors of the given quadratic expression are (3x+4) and (2x-15)
Factorizing a quadratic expressionFrom the question, we are to determine the factors of 6x²+37x-60
The given quadratic expression can be factored as shown below
6x² + 37x -60
This becomes
6x² -45x + 8x -60
3x(2x-15) +4(2x-15)
Then,
(3x+4)(2x-15)
Hence, the factors of the given quadratic expression are (3x+4) and (2x-15). The correct option is the second option (3x+4) and (2x-15)
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Answer:
(3x+4) and (2x-15)
Step-by-step explanation:
3. Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0-4).
Step-by-step explanation:
y=5(x+1/5)² -36/5
y=5(x+1/5)² -36/5
20Lexi is hiking a trail that is 7.5 miles long. She stops to take a break after hiking 3.8 miles of the trail. Which equation can be used to find how many miles, m, Lexi has left to hike?
Answer:
7.5 - 3.8 = m
Step-by-step explanation:
i need the answer to this question ASAP
Answer:
b
Step-by-step explanation:
because when u multiply the number that is outside of the bracket with the number inside the bracket it suppose to equal to the equation bk .....so b is the answer
there are 15 groups with 90 sixth graders and 60 seventh graders how many students are in each group
Answer: 10 students in each group
Step-by-step explanation: Add 90 + 60 which is 150
Divide 150 by 15 to find out the amount of students in each group.
150 divided by 15 is 10.
What is the length of ? round to the nearest tenth. 11.8 cm 12.9 cm 14.9 cm 15.3 cm
Answer:
1) 11.10cm
2)12.10cm
3)14.10cm
4) 15cm
interpret (1,15)
interpret (4,60)
Interpreting (1,15) with (4,60), found that (4,60) is 4 times of the coordinate (1,15).
What are coordinates?A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
For interpreting we have to find the relation between (1,15) and (4,60)
We have, (1,15)
For x- coordinate 1, y- coordinate will be 15
Now,
let us take x- coordinate=2 then y- coordinate =30
again, if x-coordinate = 3 then y-coordinate = 45
lastly, if the x-coordinate =4 then y-coordinate = 60
That means (4,60) is the 4 times of the coordinate (1,15) i.e., the x-coordinate is 4 times as well as the y- coordinate is 4 times.
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(b) 1-5 P
W
I=0+90/1
081=1+0S..
65°
f
O
32°
(c)
POE
R
Answer:
83°
Step-by-step explanation:
w+32+65=180 [being the sum of triangle]
w=180-97=83°
What is the surface area of this sphere? Use ≈ 3.14 and round your answer to the nearest hundredth.
the raduis is 2 yd
is this a quadratic function 2x+13=13
Answer:
Step-by-step explanation:
Simplifying
2x + 13 = 0
Reorder the terms:
13 + 2x = 0
Solving
13 + 2x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-13' to each side of the equation.
13 + -13 + 2x = 0 + -13
Combine like terms: 13 + -13 = 0
0 + 2x = 0 + -13
2x = 0 + -13
Combine like terms: 0 + -13 = -13
2x = -13
Divide each side by '2'.
x = -6.5
Simplifying
x = -6.5
X
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MODELING REAL LIFE A green roof is like a traditional roof but covered with plants. Plants used for a green roof cost $0.75
per square foot. The roof shown is 40 feet long. How much does it cost to cover both sides of the roof?
8 ft
15f15 ft
It costs $
Justify your answer
The area of the rectangular roof (both sides of the roof) = 1,360 ft²
Cost to cover both sides = $1,020
What is the Area of a Rectangle?The area of a rectangle = (length)(width)
Length of one side of the roof = 40 ftWidth of one side of the roof = √(15² + 8²) = 17Area of both sides of the roof = 2(area of rectangle) = 2(40×17) = 1,360 ft²
Cost to cover both sides = 1,360 × 0.75 = $1,020
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How do I do number 7 I wasn’t taught this
The perimeter of the polygon will be (2x + 2xy + y + xz). Then the correct option is D.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The figure is given below.
The sides of the polygon are given as x, y, xz, x, xy, and xy.
Then the perimeter of the polygon will be
The perimeter of the polygon is given as the sum of all the sides of the polygon.
Then the perimeter will be
P = x + y + xz + x + xy + xy
P = 2x + y + 2xy + xz
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