(WILL MARK AS BRAINLIEST) Consider the graph of quadrilateral WXYZ.
Which statements about quadrilateral WXYZ are true? Check all that apply.
The slope of ZW is .
The slope of YX is .
The length of ZY is .
The length of WX is 5.
Quadrilateral WXYZ is a square.
Answers
Answer:
The slope of ZW is [tex]\frac{2}{5}[/tex]
The lenght of ZY is [tex]\sqrt{29}[/tex]
Quadrilateral WXYZ is a square
Step-by-step explanation:
Statements
case A) The slope of ZW is [tex]\frac{2}{5}[/tex]
The statement is True
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]Z(-3,1),W(2,3)[/tex]
substitute
[tex]m=\frac{3-1}{2+3}[/tex]
[tex]m=\frac{2}{5}[/tex]
case B) The slope of YX is [tex]-\frac{5}{2}[/tex]
The statement is False
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]Y(-1,-4),X(4,-2)[/tex]
substitute
[tex]m=\frac{-2+4}{4+1}[/tex]
[tex]m=\frac{2}{5}[/tex]
case C) The lenght of ZY is [tex]\sqrt{29}[/tex]
The statement is True
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]Z(-3,1),Y(-1,-4)[/tex]
substitute
[tex]d=\sqrt{(-4-1)^{2}+(-1+3)^{2}}[/tex]
[tex]d=\sqrt{(-5)^{2}+(2)^{2}}[/tex]
[tex]d=\sqrt{29}\ units[/tex]
case D) The lenght of WX is [tex]5[/tex]
The statement is False
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]W(2,3),X(4,-2)[/tex]
substitute
[tex]d=\sqrt{(-2-3)^{2}+(4-2)^{2}}[/tex]
[tex]d=\sqrt{(-5)^{2}+(2)^{2}}[/tex]
[tex]d=\sqrt{29}\ units[/tex]
case E) Quadrilateral WXYZ is a square
The statement is True
Because sides ZW and YX are parallel sides (has the same slope)
Slope ZY
we have
[tex]Z(-3,1),Y(-1,-4)[/tex]
[tex]m=\frac{-4-1}{-1+3}[/tex]
[tex]m=-\frac{5}{2}[/tex]
so
ZW and ZY are perpendicular sides (the product of their slopes is equal to minus one)
[tex]-\frac{5}{2}*\frac{2}{5}=-1[/tex]
Slope WX
we have
[tex]W(2,3),X(4,-2)[/tex]
[tex]m=\frac{-2-3}{4-2}[/tex]
[tex]m=-\frac{5}{2}[/tex]
ZY and WX are parallel sides (has the same slope)
distance ZW
we have
[tex]Z(-3,1),W(2,3)[/tex]
[tex]d=\sqrt{(3-1)^{2}+(2+3)^{2}}[/tex]
[tex]d=\sqrt{(2)^{2}+(5)^{2}}[/tex]
[tex]d=\sqrt{29}\ units[/tex]
distance YX
we have
[tex]Y(-1,-4),X(4,-2)[/tex]
[tex]d=\sqrt{(-2+4)^{2}+(4+1)^{2}}[/tex]
[tex]d=\sqrt{(2)^{2}+(5)^{2}}[/tex]
[tex]d=\sqrt{29}\ units[/tex]
The four sides are congruent
case F) [tex]YZ=\sqrt{(-3-(-1))^{2}+(1-4)^{2}}[/tex]
The statement is False
[tex]YZ=\sqrt{(-2)^{2}+(-3)^{2}}[/tex]
[tex]YZ=\sqrt{13}[/tex] ----> is not correct
the value of YZ is [tex]\sqrt{29}[/tex]
Related Questions
Forty-eight divided by (two plus six)
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The function p(x)= -2000x^2 + 16000x - 5000 models the monthly profit P of a smoothie company, where x represents the price per smoothie. Identify the price range that will generate a monthly profit of at least 25,000?
a. between $3 and $5, inclusive
b. less than $3
c. more than $5
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Answer: Between $3 and $5, inclusive
Step-by-step explanation:
Use ∆ABC to find the value of sin B.
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Step-by-step explanation: sinB= perpendicular/hypotenuse
= side opposite to angle B/hypotenuse
= AC/AB
= 24/25
What is 300 in scientific notation
Answers
The answer would most likely be: [tex]3 [/tex] × [tex]10^2[/tex]
Because, [tex]10^2 = 100 [/tex] and the problem becomes: [tex]3 [/tex] × [tex]100 [/tex] ← that gives you [tex]300 [/tex]
Good luck on your assignment and enjoy your day!
~[tex]MeIsKaitlyn:)[/tex]
1. A log cabin in the shape of a rectangular prism is modeled using a scale of 1 to 0.5 meter. If the model is 14x19x11 centimeters, what is the volume of the actual log cabin?
a) 182.875 m^3
b) 365.75 m^3
c) 548. 625 m^3
d) 1463 m^3
2. A circle graph below represents a family's monthly budget. If the total monthly income is $2000, how much money is spent on food?
(graph) food=35% other=25% housing=40%
a) $700
b) $800
c) $350
d) $400
3. solve the equation. round the result to two decimal places.
4.8x-1.3=1.7
a) 0.83
b) -1.80
c) 0.63
d) 0.08
Answers
14(0.5) = 7
19(0.5) = 9.5
11(0.5) = 5.5
7x9.5x5.5 meters
b) 365.75 m^3
2. To find the money spent on food, all you do is find the percent of food of the total income. food = 35%, income = $2000
35% of 2000
0.35(2000)
a) $700
3. 4.8x-1.3=1.7
First add 1.3 to both sides to cancel it out.
4.8x = 3
Divide both sides by 4.8.
x = 0.625
c) 0.63
Hey Is anyone really good at math? I need help with this one.
What is the average of 96, 49 , 68 and 75?
Answers
1. 96+49+68+75= 288
2. 288/4= 72
72 is the average of the numbers. Hoped that helped.
Thirty-five percent of 160 is ?
Answers
Answer:
56.
Step-by-step explanation:
We are asked to find 35% of 160.
To 35% of 160, we will divide 35 by 100 and multiply the result by 160 as:
[tex]35\%\text{ of 160}=\frac{35}{100}\times 160[/tex]
[tex]35\%\text{ of 160}=0.35\times 160[/tex]
[tex]35\%\text{ of 160}=56[/tex]
Therefore, 56 is 35% of 160.
MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
1. intersection is all the numbers both sets have in common
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2. union is all the numbers from both sets so 1, 5, 8, 12, 17
How do I find the value of x?
Answers
If the sum of the interior angles in a regular polygon is 1440°, then what kind of polygon is it?
Answers
(n-2)180 = 1440
n-2 = 1440÷180 = 8
n= 8+2 = 10
n = 10sides which is a decagon
BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Sound a measures 25 decibels and sound b is 8 times as loud as sound
a. what is the decibel rating of sound b to the nearest integer?
Answers
Final answer:
To find the decibel rating of sound b, we calculate the decibel difference between sound a and sound b, which is 9.031 decibels. Adding this to the decibel rating of sound a gives us an approximate decibel rating of 34 for sound b.
Explanation:
To find the decibel rating of sound b, we need to determine how many decibels louder it is compared to sound a. We know that sound b is 8 times as loud as sound a, so we can use the formula for decibel difference:
Decibel difference = 10 * log10(intensity ratio)
Since sound b is 8 times as loud as sound a, the intensity ratio is 8. Plugging this into the formula gives:
Decibel difference = 10 * log10(8) = 10 * 0.9031 = 9.031 decibels
To find the decibel rating of sound b, we add the decibel difference to the decibel rating of sound a:
Decibel rating of sound b = Decibel rating of sound a + Decibel difference = 25 + 9.031 ≈ 34 decibels
Round each mixed number to the nearest whole number 7 2/14 kuanto
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What is it range of this data? {3,3,0,8,7,10,2,6,12,0}
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Solve for the following equation 3+6z=13+6z
A.z=-5/6
B.z=2 2/3
C.infinitely many solutions
D.no solution
Answers
6z - 6z = 13 - 3
0 = 10 (incorrect)
this equation has no solution
Answer:
D. No solution
Step-by-step explanation:
Since, if an equation after solving gives a true statement,
Then the equation has infinitely many solution,
While, after solving the equation,
We get, a false statement,
Then the equation has no solution,
Given equation,
3 + 6z = 13 + 6z
⇒ 3 = 13
Which is a FALSE statement,
Hence, the given equation has no solution.
OPTION D is correct.
A wise man once said 400 reduced by 3 times my age is 112. what is his age
Answers
PLZ Help fast. It's Pre Calculus. This is the only day i get to spend time with my baby sister. please help fast. WILL MARK BRAINLIEST.
Which of the following is a root of the polynomial shown below? Look at the graph of the function and find the solutions.
f(x)=x^3+2x^2-x-2
a.1
b.0
c.3
d.2
Which of the following represents the set of possible rational roots for the polynomial shown below? This question is a review from Algebra 2. Remember that possible rational roots take the form of p/q. Where p is a factor of the constant and q is a factor of the leading coefficient.
2x^3+5x^2-8x-20=0
Answers
x²(x + 2) - (x + 2) x²(2x + 5) - 4(2x + 5) = 0
(x + 2)(x² - 1) (2x + 5)(x² - 4) = 0
(x + 2)(x - 1)(x + 1) x = -5/2, +-2
x = -2, 1, -1 << a is the answer.
hope that helps, God bless!
Answer:
Step-by-step explanation:
Given is the polynomials as
1) [tex]f(x) = x^3+2x^2-x-2[/tex]
The graph of this function has x intercepts as
-2, -1 and 0
Since f(x) =0 has solutions equivalent to x intercepts we see that the roots are
-2,-1 and 0
2) Given is a polynomial as
[tex]f(x) = 2x^3+5x^2-8x-20 =0[/tex]
Using rational roots theorem we find that
the roots possible are ±1.±2,±4,±5,±10,±20,±1/2,±5/2
Using remainder theorem we see that
f(2) =f(-2)=0
By using division, we find that the other factor is 2x+5
Hence roots are 2,-2, -2.5
David wants to install a fence fence around his garden. The garden is rectangular and has an area of 240 square feet. One side of the garden is along the street and is 12 feet long. For this side of the garden, David will use fencing that costs 18$ per linear foot. For the other three sides of the garden, David will use fencing that costs 15$ per linear foot. What is the total cost of fencing?
Answers
12•$18=$216 for the street side and 20+20+12=52 is the total length of the other sides 52•$15=$780 is the total cost of other 3 sides 780+216=996
the total cost is $996. Hope this helped
The total cost of fencing is $996.
Cost calculationGiven that David wants to install a fence fence around his garden, and the garden is rectangular and has an area of 240 square feet, and one side of the garden is along the street and is 12 feet long, and for this side of the garden , David will use fencing that costs 18$ per linear foot, while for the other three sides of the garden, David will use fencing that costs 15$ per linear foot, to determine what is the total cost of fencing the following calculation must be made :
12X = 240240 / 12 = X20 = X12 x 18 + 12 x 15 + 20 x 15 + 20 x 15 = Cost216 + 180 + 300 + 300 = Cost996 = CostTherefore, the total cost of fencing is $996.
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Which equation represents a line that passes through (4, 1/3 ) and has a slope of 3/4?
y – 3/4 = 1/3(x – 4)
y – 1/3 = 3/4(x – 4)
y – 1/3 = 4(x – 3/4 )
y – 4 = 3/4(x – 3/4 )
Answers
slope(m) = 3/4
(4,1/3)....x1 = 4 and y1 = 1/3
now we sub
y - 1/3 = 3/4(x - 4) <===
Answer:
The correct option is 2.
Step-by-step explanation:
The point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is slope.
The line passes through (4, 1/3 ) and has a slope of 3/4.
The equation of line is
[tex]y-\frac{1}{3}=\frac{3}{4}(x-4)[/tex]
Therefore the correct option is 2.
The brady bunch has three boys who ages are consecutive even integers. The sum of the boy's ages is equal to four times the youngest boy's age. What are the ages Brady boys?
Answers
x+x+2+x+4 =4x
3x+6 =4x
x=6
6 +8+10 = 24
ages are 6, 8 & 10
The Brady boys' ages are consecutive even integers, and their respective ages are 6, 8, and 10 years old, as derived from setting up and solving an equation based on the given sum and multiple conditions.
Explanation:We have a mathematical problem involving consecutive even integers and the relationship between their sum and a single integer's multiple. Since the Brady boys' ages are consecutive even integers, we can represent the youngest boy's age as x. The ages of the other two boys would then be x + 2 and x + 4 respectively, because even integers are two units apart.
The information given states that the sum of the boys' ages equals four times the youngest boy's age. This gives us the equation:
x + (x + 2) + (x + 4) = 4x. Simplifying this equation,
3x + 6 = 4x
3x - 4x + 6 = 0
-x + 6 = 0
x = 6.
Therefore, the youngest Brady boy is 6 years old, the middle boy is 8 years old, and the oldest is 10 years old
write 171 miles in 3 hours as a unit rate
Answers
You basically divide 171 by 3.
Because since you want to write it as how many miles are traveled in one hour- you would have to divide by 3
So 171/3= 57 miles per
3/3= 1 hour
What is the range? Thanks
Answers
joy is planning to purchase a sweater that costs 30$ dollars at her local department store. The sweaters are on sale for for 20% off.
Which steps are needed to find the sale price of the sweater in words?
Answers
Then you just have to subtract 6 (the given percent) from 30 (the actual price) and you will get sale price of the sweater.
The area of a square with sides of length s is given by a = s2. find the rate of change of the area with respect to s when s = 4 meters.
Answers
da/ds = 2s
da/ds = 2(4)
da/ds = 8
PLEASE HELP MEEHH...
Divide. −3/8 ÷ −6/7
In fraction form please.
Answers
-3×-7=21÷3=7
8×6=48÷3=16
Your answer is...
=7/16
Write an equation to represent: four-fifths of z added to six equals eight
A) 4 5 z + 6 = 8
B) 4 5 + 6z = 8
C) 4 5 (6)(z) = 8
D) 4 5 (6) + z = 8
Answers
−7x−50≤−1 AND−6x+70>−2
Answers
Answer:
[tex]-7\geq x<12[/tex] and [tex][-7,12)[/tex] in interval notation.
Step-by-step explanation:
We have been given a compound inequality [tex]-7x-50\leq -1\text{ and }-6x+70>-2[/tex]. We are supposed to find the solution of our given inequality.
First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.
[tex]-7x-50\leq -1[/tex]
[tex]-7x-50+50\leq -1+50[/tex]
[tex]-7x\leq 49[/tex]
Dividing by negative number, flip the inequality sign:
[tex]\frac{-7x}{-7}\geq \frac{49}{-7}[/tex]
[tex]x\geq -7[/tex]
[tex]-6x+70>-2[/tex]
[tex]-6x+70-70>-2-70[/tex]
[tex]-6x>-72[/tex]
Dividing by negative number, flip the inequality sign:
[tex]\frac{-6x}{-6}<\frac{-72}{-6}[/tex]
[tex]x<12[/tex]
Upon merging both intervals, we will get:
[tex]-7\geq x<12[/tex]
Therefore, the solution for our given inequality would be [tex]-7\geq x<12[/tex] and [tex][-7,12)[/tex] in interval notation.
If 9 is a factor of 63, then what other number must also be a factor of 63? Explain your reasoning.
Answers
1*63=63
3*21=63
9*7=63
21*3=63
If 5 rubber stamps cost $9.70 which equation would help determine the cost of 11 rubber stamps
Answers
To find the cost of 11 rubber stamps, we calculate the unit price by dividing the given cost of 5 stamps by 5 and then multiply the unit price by 11.
Explanation:To determine the cost of 11 rubber stamps when 5 stamps cost $9.70, first we need to find the cost of one rubber stamp. We divide the total cost by the number of stamps to find the unit price, which is $9.70 ÷ 5 = $1.94 per stamp. Using this unit price, we can then multiply by the desired number of stamps to find the total cost for 11 stamps. The equation to determine the cost of 11 rubber stamps is:
Cost of 11 stamps = 11 × $1.94
By calculating this, we find that 11 stamps will cost $21.34.
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Please help having a lot of trouble :(
There is 4 inches of water in the swimming pool before the day started. The rainfall is falling at 3 inches per minute.
a. Write an inequality for how much water is in the pool, let x represent the minutes.
b. Graph the Inequality
(could help if you give me the graph points)
Answers
start with 0, then work your way up:
(0, 4)
(1, 7)
(2, 10)
(3, 13)
(4, 16)
etc
hope this helps
& may Joan of Arc bring you good tidings XD