Step-by-step explanation
l do not know.
Using Slopes of Parallel Lines Quick Check
Item 1
A quadrilateral ABCD has vertices A at (0,2), B at (2,6), C at (9,6), and D at (7,2). Are the opposite sides of this
quadrilateral parallel? (1 point)
Item 2
O Yes. AB is parallel to CD, but AD is not parallel to BC
Item 3
Item 4
O Yes. AB is parallel to CD and AD is parallel to BC
Item 5
O NO AD is parallel to BC but AB is not parallel to CD
O NO AB is parallel to CD, and AD is parallel to BC
Answer:
The answer is (B) ⇒ Yes. AB is parallel to CD and AD is parallel to BC
Step-by-step explanation:
There is an important fact about the parallel lines:
Parallel lines have equal slopesThe rule of the slope of a line is:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], where [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are two points on the lineLet us use the fact and the rule to solve the question
∵ ABCD is a quadrilateral
∵ A = (0, 2) , B = (2, 6), C = (9, 6), D = (7, 2)
∵ The opposite sides are AB, CD and AD, BC
Find the slopes of the four sides to check the parallel sides
∵ [tex]m_{AB}=\frac{6-2}{2-0}=\frac{4}{2}=2[/tex]
∵ [tex]m_{CD}=\frac{2-6}{7-9}=\frac{-4}{-2}=2[/tex]
∵ The slope of AB = The slope of CD
∴ AB // CD
∵ [tex]m_{AD}=\frac{2-2}{7-0}=\frac{0}{7}=0[/tex]
∵ [tex]m_{BC}=\frac{6-6}{9-2}=\frac{0}{7}=0[/tex]
∵ The slope of AB = The slope of CD
∴ AD // BC
The correct answer is:
Yes. AB is parallel to CD and AD is parallel to BC ⇒ (B)
You want to fence off a rectangular area of yard using the back side of your house as one of the sides. You have a total of 150 yards of fence. If the area of the fenced in portion comes to 2,812 square yards, what are the dimensions of the fenced-in area?
Answer:
L = 37 yards and B = 76 yards
L = 38 yards and B = 76 yards
Step-by-step explanation:
Given:
Total length of the fence(perimeter) = 150 yards
One side is fenced using the back side of the house
So, we have
Perimeter of the fence = 2L + W
150 = 2L + W (1)
The fenced-in portion = 2,812 square yards
Area of a rectangle = L × W
2812 = L × W (2)
From (1)
150 = 2L + W
W = 150 - 2L
Substitute W = 150 - 2L into (2)
2,812 = L × W (2)
2,812 = L × (150 - 2L)
2,812 = 150L - 2L²
-2L² + 150L - 2812 = 0
2L² - 150L + 2812 = 0
Divide through by 2
L² - 75L + 1406 = 0
Solve the quadratic equation using factorization method
Find the factors
L² - 37L - 38L + 1406 = 0
L ( L - 37 ) - 38 ( L - 37 ) = 0
( L - 37 ) ( L -38 ) = 0
L - 37 = 0 or L - 38 = 0
L = 37 yards or L = 38 yards
If L = 37 yards
B = 150 - 2L
B = 150 - (2 × 37)
= 150 - 74
= 76 yards
If L = 38 yards
B = 150 - 2L
B = 150 - (2 × 38)
= 150 - 76
= 74 yards
Therefore,
The dimensions of the fence can either be
L = 37 yards and B = 76 yards
L = 38 yards and B = 76 yards
what is the range of the function?
Answer:
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.
What is the measure of x in degrees ?
Answer:
117 degrees
Step-by-step explanation:
Jasmine drives every morning to her office that is 12 miles from her home.
If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?
Answer:
(12÷s)·60
Step-by-step explanation:
The hours it takes is 12/s so you multiply 60 to get the minutes. Next time, I would reccomend asking for help from the teacher or doing homework help, instead of putting all the RSM questions online. Thank you and have a good day :)
Answer:
12/s
Step-by-step explanation:
Part I
How does a translations 6 units up and 1 unit left change the coordinates of a shape? Question from edmentum
You need to be more specific
Decrease 40 by 12.5%
Answer:
35
Step-by-step explanation:
Multiply 40 by 0.125 (12.5%) and you get 5
Subtract 5 from 40
35
The scale of a map is 1:10,000,000. What is the real distance between two cities if the distance between them on map is 1.7 dm.
Answer:
1700 km
Step-by-step explanation:
Multiply the map scale by 1.7 dm:
1.7 dm : 17,000,000 dm
At this distance, a more useful unit is km, so we have ...
(17×10^6)(10^-1 m) = 1.7×10^6 m = 1700×10^3 m = 1700 km
I'll give brainliest and 50 points
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
Answer:
Fractional Expression for how much each person pays = (64.04/4)
Each person pays $16.01.
Step-by-step explanation:
Complete Question
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
The total of the bill is $64.04 and there are 4 people splitting the bill.
Solution
Total amount to be shared equally by 4 persons = $64.04
Fractional Expression for how much each person pays = (64.04/4)
Long division method to do this division.
16.01
4 | 64.04
4
24
24
00
0
04
4
0
Each person pays $16.01.
Hope this Helps!!!
I WILL GIVE BRAINLIEST!
Write the equation of the following line in slope-intercept form.
A) y = 2
B) x = -2
C) y = -2
D) x = 2
Answer:
A
Step-by-step explanation:
Answer:
A) y = 2
Step-by-step explanation:
that's definitely it
Paulie is buying a shirt that was originally priced at $15. The store has a today-only discount of 25%. What is today’s price for the shirt?
Answer:
he is buying it for 11.25. you get this buy multiplying 15 by 25% which equals 3.75 then you subtract 15 by 3.75 and you get 11.25
hope it helps
please mark as brainliest
Step-by-step explanation:
Answer:
11.25$
Step-by-step explanation:
Doug starts his day at the video game arcade with $25.00 Each game costs 0.75 Which function models the sequence showing the money Doug haslen after each video game that he plays?
O A (g) = 259 -0.75, where is the number of games played
O(9) = -0.75(9 - 1) 25 where g is the number of games played
O c f(a) =-0.759 + 25, where is the number of games played
Daysi
Of(9) = 25(9 - 1) - 0.75, where is the number of games played
Answer:
i dont understand your answer choices but here is the expression with representations:
m=25-0.75p, where p is the number of games played and m is the amount of money he has left
can i get a thanks and brainliest please?
do #9 and #10 pls (will give brainliest if correct!)
Answer:
9) 25 is the hypotenuse so it should be replaced with c, not a or b.
10) 6.5 feet
Step-by-step explanation:
9) The pythagorean theorem is [tex]a^2+b^2=c^2[/tex].
The pythagorean theorem says that c MUST always be the hypotenuse length. The hypotenuse side can be identified because it is always on the opposite side of the right angle and the diagonal one (and of course the longest side).
a and b can be any other side except for c. What they did wrong was that they put the hypotenuse side as b.
Now to correct the error
[tex]a^2+b^2=c^2\\7^2+b^2=25^2\\49+b^2=625\\49+b^2-49=625-49\\b^2=576\\[/tex]
[tex]\sqrt{b^2}=\sqrt{576} \\b=24[/tex]
The missing side length is 24.
10) The question is asking for the c length (which is the hypotenuse). Use pythagorean theorem to solve for c.
[tex]a^2+b^2=c^2\\5.6^2+3.3^2=c^2\\42.25=c^2\\\sqrt{42.25}=\sqrt{c^2}\\6.5=c[/tex]
The length of the wire is 6.5 feet.
Can you please help me with this?
Answer:
3/4 and 6/5
Hope this helps!
the marks of a student of a class are given below78, 11,99,63,94,78,36,22
Range of mark is
Answer:
88
Step-by-step explanation:
arrange the marks in ascending order
range = highest value - lowest value
= 99 - 11
= 88
Find the measures of two supplementary angles if their measures are in the given ratio.
2:3
Answer:
The measures of the two angles are 72° and 108°
Step-by-step explanation:
Let us revise the meaning of supplementary angles.
The supplementary angles are the angles whose sum of measures
equal to 180°
∵ The ratio between the two supplementary angles is 2 : 3
∵ The sum of the supplementary angles is 180°
→ Let us use the ratio method to solve the question
⇒ ∠1 : ∠2 : ∠1 + ∠2
⇒ 2 : 3 : 5 (2 + 3)
⇒ ? : ? : 180
By using cross multiplication
∵ ∠1 = (2 × 180) ÷ 5
∴ ∠1 = 360 ÷ 5
∴ ∠1 = 72°
∵ ∠2 = (3 × 180) ÷ 5
∴ ∠2 = 540 ÷ 5
∴ ∠2 = 108°
∴ The measures of the two angles are 72° and 108°
what is the answer 4p+9f=60
Answer: F = 6
P = 1.5
Step-by-step explanation:
If q is the midpoint of segment PR, find the coordinates of R if P (11,-2) and Q (4,3)
Answer:
R(-3, 8)
Step-by-step explanation:
R = 2Q -P
R = 2(4, 3) -(11, -2) = (8-11, 6+2)
R = (-3, 8)
_____
You can derive the formula for the endpoint from the formula for the midpoint:
Q = (R + P)/2
R = 2Q - P . . . . . . multiply by 2 and subtract P
Can someone please help me with I appreciate it thank you
Answer:
c = 7.
Step-by-step explanation:
The slope = (y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are the 2 points.
So here we have the equation
- 3 = (3 - (-3)) /(5 - c)
-3 = 6 / (5 - c) Cross multiply:
-3(5 - c) = 6
-15 + 3c = 6
3c = 6 + 15
3c = 21
c = 7.
The person who asked to see the full pic here it is & if anyone wants to help out also
okay I found out that the answer is 2
a. Yes; domain: all real numbers; range: y = 0
b. Yes; domain: all real numbers; range: y20
No; domain: all whole numbers; range: y so
d. Yes; domain: all real numbers; range: y > 0
C.
The function is also defined at x = 0 thus the domain is all real numbers and the range is y ≥ 0 thus option (b) is correct.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
As per the given graph.
The graph is the function of y = |x|
At x = 0 , y = 0 (defined)
And the function goes x = -∞ to ∞
Hence "The function is also defined at x = 0 thus the domain is all real numbers and the range is y ≥ 0".
For more details about the range and domain of the function,
brainly.com/question/28135761
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A company's gross profit rate measures how well the company maximizes its profits in terms of cost and sales.
The gross profit rate,P , is calculated using the formula P= s-c/s, where s is the net sales and c is the cost of goods sold.
Which of the following equations correctly rearranges the formula to SOLVE FOR C, the cost of goods sold?
A)c=P
B)c=-P
C)c=Ps-s
D)c=-Ps+s
Answer:
D
Step-by-step explanation:
P = s-c/s
~Multiply s to both sides
Ps = -c + s
~Subtract s to both sides
Ps - s = -c
~Divide -1 to both sides
-ps + s = c
Best of Luck!
Answer:
C=-PS+S
Step-by-step explanation:
Make sure there capital letters :)
WILL MARK YOU BRAINLIEST NO GUESSES!!!!
C. Plot points C and D and draw a ray through them using C or D as an endpoint.
-5(x – 3) – 3x - 2 = 45
Can someone please help me explain this to me thank you!
What is the sum of 9.8 and 573.54
Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)
Answer:
[tex]M(x,y) = (1,3)[/tex] belongs to the line [tex]y = 2\cdot x +1[/tex]. Please see attachment below to know the graph of the line.
Step-by-step explanation:
From Analytical Geometry we know that a line is represented by this formula:
[tex]y=k\cdot x + b[/tex]
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]k[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
If we know that [tex]b = 1[/tex], [tex]x = 1[/tex] and [tex]y = 3[/tex], then we clear slope and solve the resulting expression:
[tex]k = \frac{y-b}{x}[/tex]
[tex]k = \frac{3-1}{1}[/tex]
[tex]k = 2[/tex]
Then, we conclude that point [tex]M(x,y) = (1,3)[/tex] belongs to the line [tex]y = 2\cdot x +1[/tex], whose graph is presented below.
Answer:
Graph the points, (2, -7), (1, -3)
Step-by-step explanation:
I did it in rsm xD
a vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function C(x)=0.7^2- 462 x 84,797 . What is the minimum unit cost? Do not round your answer.
Answer:
8,567
Step-by-step explanation:
Given the cost function expressed as C(x)=0.7x^2- 462 x + 84,797
To get the minimum vaklue of the function, we need to get the value of x first.
At minimum value, x = -b/2a
From the equation, a = 0.7 and b = -462
x = -(-462)/2(0.7)
x = 462/1.4
x = 330
To get the minimum cost function, we will substitute x = 330 into the function C(x)
C(x)=0.7x^2- 462 x + 84,797
C(330)=0.7(330)^2- 462 (330)+ 84,797
C(330)= 76230- 152460+ 84,797
C(330) = 8,567
Hence the minimum unit cost is 8,567
The minimum unit cost for producing each car is $8567
Cost is the amount of money spent in producing a particular number of items.
Let C(x) represent the cost in dollar to produce x number of cars. Given that:
C(x)=0.7x² - 462x + 84797
The minimum cost is at C'(x) = 0. Hence:
C'(x) = 1.4x - 462
1.4x = 462
x = 330
The minimum cost is when 330 cars are produced, hence:
C(330) = 0.7(330)² - 462(330) + 84797 = 8567
The minimum unit cost is $8567
Find out more at: https://brainly.com/question/21105092
7 - 5x - 5 - 7x = 5 what is the value of x
Answer:
x is equal to negative 1/4
Step-by-step explanation:
Answer:
Negative Quarter.
Step-by-step explanation:
Simply send the letters to one side (preferrably the left) and numbers on the other side... Remember to swutch signs when you pelting the number or letter across the equal sign. i.e negative will become positive and vice versa. lets go...
7 - 5x - 5 - 7x = 5
-5x - 7x = 5 + 5 - 7
-12x = 3
x = -3/12
x = -1/4
-3 = 14y + 11 this question
Answer: y = - 14
Step-by-step explanation:
If you subtract 11 from each side you get y by itself and -3 -11 = -14
Answer:
-1=y
Explanation:
Subtract
1
1
11
11
from both sides of the equation
−
3
=
1
4
+
1
1
−
3
=
14
y
+
11
−3=14y+11
−
3
−
1
1
=
1
4
+
1
1
−
1
1
−
3
−
11
=
14
y
+
11
−
11
−3−11=14y+11−11
2
Simplify
Subtract the numbers
Subtract the numbers
again
−
1
4
=
1
4
−
14
=
14
y
−14=14y
3
Divide both sides of the equation by the same term
−
1
4
=
1
4
−
14
=
14
y
−14=14y
−
1
4
1
4
=
1
4
1
4
−
14
14
=
14
y
14
14−14=1414y
4
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
5 stars and 3 hearts.
Which ratios describe the model? Check all that apply.
A. 3 hearts to 5 stars
B. 3 stars to 5 hearts
C. 5 hearts to 3 stars
D. 5 stars to 3 hearts
Answer:
a and d
Step-by-step explanation:
i just took the Assignment
Answer:
The answer is A and D
Step-by-step explanation:
5 stars and 3 hearts.
That in ratio form would be 5 stars to 3 hearts, or 3 hearts to 5 stars.
Therefore, your answer is A and D
