Answer:
[tex]m = 3[/tex] ---- Slopes of QU and AD
[tex]m =\frac{2}{3}[/tex] ---- Slopes of UA and QD
Sides QU and AD have the same slope
Sides UA and QD have the same slope
Step-by-step explanation:
Given
[tex]Q = (1, 2)[/tex]
[tex]U = (2, 5)[/tex]
[tex]A = (5, 7)[/tex]
[tex]D = (4, 4)[/tex]
Solving (a): Slope of QU
[tex]Q = (x_1,y_1)= (1, 2)[/tex]
[tex]U = (x_2,y_2)= (2, 5)[/tex]
Slope, m is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m =\frac{5-2}{2-1}[/tex]
[tex]m =\frac{3}{1}[/tex]
[tex]m = 3[/tex]
Slope of AD
[tex]A =(x_1,y_1) = (5, 7)[/tex]
[tex]D = (x_2,y_2) = (4, 4)[/tex]
Slope, m is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m =\frac{4-7}{4-5}[/tex]
[tex]m =\frac{-3}{-1}[/tex]
[tex]m = 3[/tex]
Slope of UA
[tex]A =(x_1,y_1) = (5, 7)[/tex]
[tex]U = (x_2,y_2)= (2, 5)[/tex]
Slope, m is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m =\frac{5-7}{2-5}[/tex]
[tex]m =\frac{-2}{-3}[/tex]
[tex]m =\frac{2}{3}[/tex]
Slope of QD
[tex]Q = (x_1,y_1)= (1, 2)[/tex]
[tex]D = (x_2,y_2) = (4, 4)[/tex]
Slope, m is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m =\frac{4-2}{4-1}[/tex]
[tex]m =\frac{2}{3}[/tex]
Solving (b): Parallel Sides
Two sides are said to be parallel if they have the same slope.
The slope were calculated in (a) above and from there, we have the following observations
1. QU and AD have the same slope of 3
2. UA and QD have the same slope of 2/3
The municipal swimming pool in Charlotte North Carolina has a three different ways of paying for individual open swimming. Nick is trying to decide which way to pay period early pay: $45 before memorial day, swim any number of days. Deposit plus : eight dollars deposit +3 dollars per day. Daily pay: four dollars a day. Fill in the table with the cost to swim to given number of days each amount should be the total cost swim that number of days, including the deposit if applicable
Answer:
1. a Early Pay: y = 45
b. Deposit Plus: y = 12.00 + 4.00x
c. Daily Pay: y = 6.00x
2. Early pay = $25
Deposit Plus = 12.00 + 4.00(4) = 12.00 + 16.00 = $28.00
Daily Pay = 6.00(4) = $24.00
Daily Pay is the cheapest one.
3. Early Pay = $45
Deposit Plus = 12.00 + 4.00(8) = 12.00 + 32.00 = $44.00
Daily Pay = 6.00(8) = $48.00
Deposit Plus is the cheapest one.
4. Early Pay = $45
Deposit Plus = 12.00 + 4.00(12) = 12.00 + 48.00 = $60.00
Daily Pay = 6.00(12) = $72.00
Early Pay is the cheapest one.
5. Since Jane likes to swim most days, it would be cheaper for her to do the Early pay option, because the price is a one time fee and she can swim every day.
Since Suzy doesn't really like to go swimming and might only go a couple times, it would be best for her to do the daily pay, that way she didn't spend any money up front if she doesn't swim at all.
Step-by-step explanation:
Cait went apple picking with 3 friends. The 4 of them picked 17.4 lbs of
apples and want to split it equally. How many lbs of apples do they each
get?
Answer:
4.35 pounds each gets
Step-by-step explanation:
if you divide 17.4 by 4 you get 4.35 pound per each of the 4 people get
the weight of 6 eggs is shown. identify the constant of proportionality of total weight to number of eggs. the weight of 6 eggs is 288 g.
Answer:
The weight of eggs is shown. Identify the constant of proportionality of total weight to number of eggs.
A row of 6 eggs is labeled "The weight of 6 eggs is 270 grams."
The weight of 6 eggs is 270 g.
Step-by-step explanation:
Answer:hi
Step-by-step explanation:
hi
Don’t know what the answer is
Answer:
210
Step-by-step explanation:
if you divide 126 by 3 you get 42 than multiply by 5 and you get 210
Two brothers bought together 10 books. One brother bought four books. How
many books did the other brother buy? Create an equation and solve.
Answer:
The other brother bought 6
Step-by-step explanation:
10 books in total
4 books bought by one brother
10 - 4 = 6
Answer:
2b+4b=10b the other brother bought 6 books.
Since we already know how many the other brother bought, we don't need to find that information.
Step-by-step explanation:
2b+4b=10b
combine like terms and subtract.
6b=10b
=4b
(hope this is correct.)
A positive number multiplied by a negative number will result in a
Answer:
Negative
Step-by-step explanation:
When you multiply a negative number by a positive number then the product is always negative.
Please help, Fake answers = report
========================================================
Explanation:
Let
A = (-5, -3)B = (-5, 5)C = (4, 5)D = (4, -3)be the labels for buildings 1 through 4 in that order.
You could use the distance formula to calculate the distance between each adjacent point, and then add up those values.
A quicker way is to plot all four points on the same xy grid system. Then simply count the spaces between each point to find that
AB = 8BC = 9CD = 8DA = 9See below for the diagram.
Essentially we have rectangle ABCD with base 9 and height 8
The perimeter of this rectangle is 8+9+8+9 = 34
The problem tells us that 1 unit on the grid represents 100 feet. Since the perimeter was 34, this scales up to 34*100 = 3400 feet that the courier traveled.
This is a little over half a mile since 1 mile = 5280 ft and 3400 ft = 3400/5280 = 0.64 miles approximately.
Marco climbed 2 feet down a ladder. He then climbed down
4 more feet. Write a subtraction equation and an equivalent
addition equation to represent this situation. What was the total
change in Marco’s elevation?
Answer:
well (-2) -4=-6
Step-by-step explanation:
the the elevation he changed in is 6ft goign down
The equivalent addition equation to represent this situation will be negative 6. Then the total change in Marco’s elevation will be negative 6.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Marco climbed 2 feet down a ladder. He then climbed down 4 more feet.
The equivalent addition equation to represent this situation will be given as,
⇒ (-2) + (-4)
⇒ - 2 - 4
⇒ - 6
The equivalent addition equation to represent this situation will be negative 6. Then the total change in Marco’s elevation will be negative 6.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
HELP WITH THESE TWO ASAP
At hoffman's bike rentals,it cost $35 to rent a bike for 7 hours .How many hours of bike does the customer get per dollar?please help
Answer:
your answer is 5 dollars per hour
Step-by-step explanation:
35/7 = 5
Answer
Answer is 5 dollars per hour
Step-by-step explanation:
35/7 = 5
Please help ASAP!!! I will mark brainliest!
Format:
{Expression} = {Rewritten} = {Value}
Answer:
3/8 * 24 = 72/8 = 9
5/9 * 18 = 90/9 = 10
11/12 * 36 = 396/12 = 33
Theorems about roots of polynomial equations!! I need help!!
9514 1404 393
Answer:
B (correctly marked)
1/3, 1/2, 4
Step-by-step explanation:
The rational root theorem tells you the rational roots will be of the form:
±(divisor of constant)/(divisor of leading coefficient)
Here, that means they will be of the form ±{1, 2, 4}/{1, 2, 3, 6}.
Right away, you can eliminate choices A and C because there cannot be 9 in the numerator, and the number of possibilities goes beyond just 1, 2, and 4.
Possible rational roots are ...
±1, ±2, ±4, ±1/2, ±1/3, ±1/6, ±2/3, ±4/3
__
I like a graphing calculator for finding the roots of higher-degree polynomials. A graph of this one shows roots to be 1/3, 1/2, and 4.
_____
Descartes' rule of signs tells you there are 0 negative real roots, and 1 or 3 positive real roots. The ratio of the first two coefficients suggests that one of the roots may be relatively large, so it might work to try 4.
((6·4 -29)·4 +21)·4 -4 = (-20 +21)·4 -4 = 0
So, x=4 is a root. Synthetic division (2nd attachment) shows the remaining quadratic factor to be 6x^2 -5x +1. Factoring this*, we have ...
6x^3 -29x^2 +21x -4 = (x -4)(6x^2 -5x +1) = (x -4)(3x -1)(2x -1)
The roots associated with the quadratic factor are 1/3 and 1/2.
The real roots are 1/3, 1/2, and 4.
_____
* To factor ax^2 +bx +c, you look for factors of the product ac that have a sum of b. Here, you're looking for factors of 6·1 = 6 that have a sum of -5.
6 = (-1)(-6) = (-2)(-3) . . . sums are -7 and -5
The numbers we're looking for are -2 and -3. Then the factorization is (6x -2)(6x-3)/6 = (3x -1)(2x -1).
Note that we have identified 'p' and 'q' as the factors of 'ac' that total to 'b'. The factorization is then (ax+p)(ax+q)/a. Here, both factors end up with coefficients of x that are not unity. That is not always the case.
There are other ways to make use of 'p' and 'q'. You can also rewrite the quadratic as ax^2 +px +qx +c, and factor by grouping.
Carland Tim start a yard cleaning business, During the first week they
purchased 2 shovels and 2 brooms for $45. They also purchased garbage bags
for $13. Carl cleaned the Kingston's Front and Backyard and Tim cleaned the
Murphys Driveway
Answer:
They spend = $58
They earned = $35
Step-by-step explanation:
Split 18 into the ratio 1:2
Answer:
6:12
Step-by-step explanation:
Add 1+2=3
18/3=6
6x1=6
6x2=12
Out it back in the ratio
6:12
ху
0
3
1 1
2 -1
Using the table, what is the value for the RANGE when the DOMAIN is 2?
es
-1
B)
o
C)
1
D)
2
Answer:
i think is D t but i think
Step-by-step explanation:
Answer is 0 probably B)
Step-by-step explanation:
In the diagram, Find the value of y
Answer:
y = 42
Step-by-step explanation:
we can start by getting teh degree of x
62 + 65 = 127
180 - 127 = 53
x = 53
x - y = 11
we know that 53 is x
53 - y = 11
y = 42
Answer Asap Will mark brainlest if it's right.
Answer:
B........................
The Pie Arsquare Bakery sold 869 pies during the month of January. What was the mean number of pies sold per day? (Hint: how many days are in January) Round to the nearest tenths.
Answer:
28
Step-by-step explanation:
divide 869 by the number of days in January
Select all points that do not lie on this line.
its A and B bro. Hope it helps
PLEASEEEEEE ANSWEERRRRRRRRR
Sally and Joan were able to dust the house in 3 hours together. It takes
Joan 10 hours to finish the same job alone. Without help, how long
would it take Sally to finish the same job ?
Answer:14hrs
Step-by-step explanation:joan=10hrs
joan+sally=3hrs
representing joan and sally's time taken in fractions 1/10+-------=1/3
1/3-1/10=7/30
7/30 by 60min(in an hour)
=14hrs
How many yards are in 540 inches ?
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
google .
divide the length by 36 basically
A line passes through (5, –4) and (–1, –4).Use the work below.
m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. M = StartFraction negative 4 minus (negative 4) Over negative 1 minus 5 EndFraction. M = StartFraction 0 Over negative 6 EndFraction. M = 0.
What can you conclude about this line? Select all that apply.
It is a vertical line.
It is a horizontal line.
The equation is x = –4.
The equation is y = –4.
It is impossible to have m = 0.
Answer:
Its 2,4 on edge
Step-by-step explanation:
its right
Answer:
2 and 4
Step-by-step explanation:
Which ordered pair is in the solution set of x − 4y ≥ 6?
A. (−2, 0.5)
B. (2, 1)
C. (2, −1)
D. (−2, −0.5)
Please anybody help
Answer:
-4 just kidding it is 3
Step-by-step explanation:
If a bike wheel has a diameter of 18 cm how far does it travel in 1 rotation?
Answer:
about 56.5 cm, or 18pi cm
Step-by-step explanation:
circumference is pi times diameter... please mark brainliest if this helped!!
In the equation 6x – 2 = –4x + 2, Spencer claims that the first step is to add 4x to both sides. Jeremiah claims that the first step is to subtract 6x from both sides. Who is correct? Explain. Sample Response: Both are correct. As long as inverse operations and the properties of equality are used properly, both methods will generate the same solution. They both isolate the variable on one side of the equation. What did you include in your response? Check all that apply. Both boys are correct. Both methods correctly use the properties of equality and inverse operations. Both methods isolate the variable on one side of the equals sign.
Answer:
Correct option is "Both boys are correct".
Step-by-step explanation:
The equation is:
6x - 2 = -4x + 2
Using Spencer's method:6x - 2 + 4x = -4x + 2 + 4x
10x - 2 = 2
10x = 4
x = 0.40
Using Jeremiah's method:6x - 2 - 6x = -4x + 2 - 6x
- 2 = -10x + 2
10x = 4
x = 0.40
Correct option is "Both boys are correct".
Find an equation of the line that passes through the points (5,- 4) and (2,-2).
Answer:
y=-2/3x - 2/3
Step-by-step explanation:
A shopper buys cat food in bags of 3 lbs. Her cat eats 34 lb each week. How many weeks does one bag last?
Multiply your answer in the first question (the number of weeks) by 34.
The class had to identify the divided And divisor for a division problem 56÷7. Which number is the divided ? Which number is the divisor?
Answer:
56÷7=8
Step-by-step explanation:
answer is 8
Find the value of x for which d ||m.
Answer:
29
Step-by-step explanation:
