For what values of x and y is PQRS a parallelogram?
Answer:
x = 3
y = 2
Step-by-step explanation:
GIVEN :-
PQ = 2y + 3QR = 4y + 1RS = y + 5PS = 4x - 3TO FIND :-
The values of x & y for which PQRS will be a parallelogramFACTS TO KNOW BEFORE SOLVING :-
In a parallelogram , pair of opposite sides are always equal in length.
SOLUTION :-
PQRS will be a parallelogram only when :-
PQ = RSand PS = QR1) Assume that PQ = RS.
[tex]=> 2y + 3 = y + 5[/tex]
[tex]=> 2y - y = 5 - 3[/tex]
[tex]=> y = 2[/tex]
∴ For y = 2 , PQ = RS.
2) Now, assume that PS = QR.
[tex]=> 4x - 3 = 4y + 1[/tex]
(Put y = 2 in the equation)
[tex]=> 4x - 3 = 4 \times 2 + 1[/tex]
[tex]=> 4x - 3 = 9[/tex]
[tex]=> 4x = 9 + 3 = 12[/tex]
[tex]=> x = \frac{12}{4} = 3[/tex]
∴ For x = 3 , PS = QR.
CONCLUSION :-
For x = 3 & y = 2 , PQRS is a parallelogram.
What is the area of the figure? A 80 square inches 88 square inches C. 96 square inches D. 120 square inches
Answer:
88
Step-by-step explanation:
(5-^2)-^4 PLEASE TELL ME EHSY THIS IS
390625
^if that’s what you meant in the picture cause your question was confusing
how many 5- digit numbers are there in all the number system
Answer:
The smallest 5 digit number is 10,000 and the greatest 5 digit number is 99,999. There are 90,000 five-digit numbers in all.
38°
24 in
A restaurant owner plans to install this bicycle rack in front of her restaurant. In order to meet city safety requirements, the base
of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians. Will this bicycle rack be approved by the city?
Answer:
39
Step-by-step explanation:
Yes, the base of the bicycle rack measures about 15 inches.
Whta is the sin angle?The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.
A restaurant owner plans to install this bicycle rack in front of her restaurant.
In order to meet city safety requirements, the base of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians.
The base of the bicycle is ;
In the right angle triangle;
[tex]\rm = sin38 \times 24\\\\ =0.61 \times 24\\\\=14.77[/tex]
Yes, the base of the bicycle rack measures about 15 inches.
Hence, Yes, the base of the bicycle rack measures about 15 inches.
Learn more about sin angle here;
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Mi mamá Rosa Amelia, asistió al Hospital cercano a su casa, luego de hacer atendida, el medico tratante le dio tres tipos de pastillas que tomar;la pastilla rojas cada 12 horas, la pastilla amarilla 8 horas y la pastilla blanca cada 7 horas. Si empieza a tomarse la pastilla en el día de hoy a las 12:00 del mediodía Cuándo volverá a tomarse cada pastilla otra vez?
Answer:
La próxima pastilla roja será a las 12:00 a.m.
La próxima pastilla amarilla será a las 8:00 p.m.
La próxima pastilla blanca será a las 7:00 p.m.
HELLO CAN SOMEONE HELP ME PLOT THIS POINT? TY :)
It would be at (7,5)
How many proper subsets does the set T = {i, c, j, e} have?
Solve the simultaneous equation
2x-3y =8 x+3y=14
Use elimination method....
Answer:
x = 22/3 y = 20/9
Step-by-step explanation:
2x-3y =8 x+3y=14
Add the two equations together to eliminate y
2x-3y =8
x+3y=14
-------------
3x +0y = 22
Divide each side by 3
3x/3 = 22/3
x = 22/3
Then take the second equation and multiply by -2 and add to eliminate x
2x-3y =8
-2x-6y=-28
----------------------
-9y = -20
Divide by -9
-9y/-9 = -20/-9
y = 20/9
x = 22/3 y = 20/9
Please help me fast i need help
Answer:
minimum- 19
first quartile - 26.5
median - 29
third quartile - 31
maximum - 40
Step-by-step explanation:
How do you find the cosine and tangent of an angle if you are given the
sine? You may make up (if you like) an example of this to help
illustrate (remember, sine can only be between -1 and 1).
Answer:
under
Step-by-step explanation:
We have the sin²x+cos²x=1, so we can find the cosine if we have the sine,after we have sin,cos, easily to find the tangent by usingtangent =Sine/cosine
HELP HELP HELP
Identify the maximum, minimum, y-intercept,
x-intercept, and increasing and decreasing interval on
the graph below.
Answer:
Step-by-step explanation:
Maximum is at (1.5,14).
Minimum is at (4, 0).
y-intercept is at (0, 9)
x intercept is at ( 4, 0).
increasing from x = 0 to x = 1.5 and x = 0 to 6.
decreasing from x = 1.5 to x = 0
In a grocery store, a $12 case of soda is labeled, "Get a 20% discount." What is the discount? What is the sale price of the case of soda?
In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student plays a sport given
that they play an instrument?
Plays an instrument Does not play an instrument
Plays a sport
8
2
Does not play a sport
11
6
Answer:
ok
Step-by-step explanation:
Write a quadratic function h whose zeros are 1 and 4
Answer:
x² - 5x + 4
Step-by-step explanation:
work backwards from knowing zeros to writing factors, then use foil method
(x - 1)(x - 4)
x² - 4x - 1x + 4
x² - 5x + 4
what is the range of 0 and 8
Answer:
8
Step-by-step explanation:
range=highest number - lowest number
=8 - 0
=8
A marketing research company desires to know the mean consumption of milk per week among people over age 31. A sample of 343 people over age 31 was drawn and the mean milk consumption was 4.4 liters. Assume that the population standard deviation is known to be 0.9 liters. Construct the 90% confidence interval for the mean consumption of milk among people over age 31. Round your answers to one decimal place.
Answer:
(4.3 ; 4.5)
Step-by-step explanation:
Given :
Sample size, n = 343
Sample Mean, xbar = 4.4
Standard deviation, σ = 0.9
Zcritical at 90%
Using the relation :
Xbar ± Margin of error
Margin of Error = Zcritical * σ/√n
Margin of Error = 1.645 * (0.9/√343)
Margin of Error = 0.0799394
Lower boundary = 4.4 - 0.0799394 = 4.320
Upper boundary = 4.4 + 0.0799394 = 4.480
(4.320 ; 4.480)
the length of a rectangle is four times it's width.if the perimeter is 70cm. Calculate the length and area of the rectangle
Answer:
length=28 cm
the area = 196 cm²
Step-by-step explanation:
length = 4 × width
2×(4w+w) = 70
2×5w=70
10w=70
w= 7 cm
length = 4×7 = 28 cm
the area = 28 ×7 = 196 cm²
One pipe can fill a tank in 4 hours. A second pipe also requires 4 hours, but a third
needs three hours. How long will it take to fill the tank if all three pipes are open?
Answer:
Step-by-step explanation:
We will use the idea here that the first 2 pipes can get 1/4 of the job done in an hour, and that the third pipe can get 1/3 of the job done in an hour. We need to know then the number of hours it will take to fill the tank if all 3 work together. The equation looks like this:
[tex]\frac{1}{4}+ \frac{1}{4}+ \frac{1}{3}= \frac{1}{x}[/tex] Now we find a common denominator and solve for x. The common denominator is 12x. Multiplying everything by 12 x gives us
3x + 3x + 4x = 12 and
10x = 12 so
x = 1.2 hours
Answer:
1.2 hours
Step-by-step explanation:
we need to see how much each pipes does in the same amount of time
The least common multiple of 3 hours and 4 hours is 12 hours
In 12 hours:
Pipe 1 at 4 hours to fill a tank fills 3 tanks
Pipe 2 at 4 hours to fill a tank fills 3 tanks
Pipe 3 at 3 hours to fill a tank fills 4 tanks
All three pipes can fill 10 tanks in 12 hours
12 hours/10 tanks = 1.2 hours to fill one tank
-------------------------
Doing just the math
1/4 + 1/4 + 1/3 = x
3/12 + 3/12 + 4/12 = 10tanks/12 hours
12hours/10tanks = 1.2 hours
PLEASE IM BEGGING!!!
The questions is: Find the perimeter and the Area of a Trapezoid
Answer:
Step-by-step explanation:
P = 65.4
not sure about area Sorry
I really need help please!!
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches? (5 points) 6 inches 8 inches 12 inches 20 inches
9514 1404 393
Answer:
12 inches
Step-by-step explanation:
The area is given by the formula ...
A = 1/2bh
Fill in the given values and solve for the height.
24 in² = 1/2(4 in)h
h = (24 in²)/(2 in) = 12 in
The height of the triangle is 12 inches.
Answer:
12 inches
Step-by-step explanation:
Area = [tex]\frac{1}{2}bh[/tex]
24 = [tex]\frac{1}{2} * 4 * h[/tex]
24 = 2h
h = 12 inches
The table below shows the relationship between C, the cost in dollars of a piece of gold, and W, its weight in ounces.
Cost of Gold Based on Weight
Cost (C ) in
Dollars Weight (W ) in
Ounces
7,200 12
13,200 22
19,200 32
Which equation could be used to determine the cost of a piece of gold of any weight?
(any links, or incorrect answers will be reported and banned)
Answer:
Solution given:
12 Ouches =$7200
per Ouches =$7200/6=$600
So
the required equation for the cost of any weight of gold is:
C.
600W=C is a required equation.
Answer:
600W=C
Step-by-step explanation:
.......................
A polynomial function has a root of -3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?
Answer:
see uploaded image
Step-by-step explanation: 5 30 10 04
x(x+3)²(x-1)(x-3)²
I attached my guess, since I don't see any graphs.
NOTE the x axis scale change on my submission.
Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.
What is a polynomial function?A polynomial is an equation with many terms whose leading term is the highest exponent known as a degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.
This polynomial has roots -3, 0, 1, and 3. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or if the simple touch it and bounces back? The even or odd multiplicity - how many times the root occurs.
In this polynomial:
Root -3 has an even multiplicity of 2 so it only touches and does not cross through.
Root 0 has an odd multiplicity of 1 so crosses through.
Root 1 has an odd multiplicity of 1 so crosses through.
Root 3 has an even multiplicity of 3 so it only touches and does not cross through.
Knowing this, only the first and second graphs are possible answers.
Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends and points down. All even degree graphs will have this shape.
Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.
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Solve for x 8-2x = 5( x4)
How does the graph of the function g(x)=2^x-4 differ from the graph of f(x)=2^x
Answer:
The graph of g(x) is the graph of f(x) moved down 4 units.
Step-by-step explanation:
Subtracting a function by a constant:
Subtracting a function by a constant x is the same as moving the function down x units.
In this question:
[tex]f(x) = 2^x[/tex]
[tex]g(x) = 2^x - 4[/tex]
Thus, the graph of g(x) is the graph of f(x) moved down 4 units.
If p = -6, what does p + 4 equal?
Answer:
-2.
Step-by-step explanation:
p + 4 with p being -6 is basically -6 + 4, which equals -2.
Answer:
-2
Step-by-step explanation:
-6 + 4 = -2
HELLLP PLZZZZ , i need to anwer this quastion is a major grade :((
Answer:
I think it might be C but I dont know . Hope its right !
Step-by-step explanation:
Help I need fast school is almost out ill give brainliest
Answer:
11
Step-by-step explanation:
a^2 + 3b / c - 2d
put the numbers in the equation
3^2 + 3 x 8 / 2 - 2 x 5
pedmas
3^2 would be first, then 3 x 8, then that answer divided by 2, then 2 x5
9 + 12 - 10
left to right
9 + 12 = 21
21 - 10 = 11
Answer:
the correct answer is 11
+ (3x8)/2 - (2x5)
9+ - 10
9+12-10=11
Step-by-step explanation:
What is the value of z?
No links please!!
9514 1404 393
Answer:
z = 14.4
Step-by-step explanation:
The angle bisector divides the sides proportionally.
z/12 = 6/5 . . . . . . . . . write a proportion*
z = 12(6/5) = 72/5 . . . . . multiply by 12
z = 14.4
_____
* We consider the proportion easier to solve if the unknown is in the numerator. Then the solution is found by multiplying the equation by that denominator.