Activity
The equation y = x + 1 represents plane A and y = -x + 21 represents plane B, where x is the time in minutes and y is the fuel in tons.
Part A
Go to your math tools and open the Graph tool to graph the two sets of equations. To see where the two lines intersect, change the scale so that the x-axis goes from 0 to 30 and the y-axis goes from 0 to 12. Paste a screenshot of the resulting graph in the answer space.
Part B
At which point do the lines intersect?
Part C
Do the coordinates of the point of intersection satisfy both equations simultaneously?
Answers
Answer:
Part-A: refer to the attachment
Part-B: (10,11)
Part-C: yes
step-by-step explanation:
Part-A:
refer to the attachment
(I used a online graphing calculator to graph the equations which made the work easy)
Part-B:
When two lines share exactly one common point, they are called the intersecting lines and the point is called the point of interception
Looking at the graph,we can understand that the two lines share a common point at (10,11),
hence,
The lines intercept at the point (10,11)
Part C :
well, to find the answer of this part, we can consider doing equality check by substituting the value of the point we got.
The point (10,11) means that the left and right hand side of both of the equations i.e [tex]\text{y=x+1 and y=-x+21}[/tex] are equal when x and y equal to 10 and 11 respectively.
So let's justify the points:
equation-1:
y = x + 1substitute the value of x and y respectively:
[tex]11\stackrel{?}{=}10+1[/tex]simplify addition:
[tex]11\stackrel{\checkmark}{=}11[/tex]equation-2:
y = -x + 21substitute the value of x and y respectively:
[tex]11\stackrel{?}{=}-10+21[/tex]simplify addition:
[tex]11\stackrel{\checkmark}{=}11[/tex]so,
Yes,the coordinates of the point of intersection satisfy both equations simultaneously
Answer:
h
Step-by-step explanation:
Related Questions
A rectangle has an area of 18 cm², with a perimeter of 18 cm. Find the length and breadth
of the rectangle
Answers
Answer:
suppose length is x
breadth is y
now,
x.y=18
2(x+y)= 18
x= 3
y=6
Step-by-step explanation:
I need help ASAP
You found yourself lost in a forest. Give an account of your experience and how you found your way out
Answers
Answer:
Step-by-step explanation:
This actually happened to me. I was walking out of a national forest and came up to a stream that I had not crossed. I got my bearings confused and realized I was lost. I knew that if I went Northwest it would be about a 30 mile hike out in heavy woods, with obvious other streams to cross. In the Southeast direction, it would only be about 5 miles.
The sun was out but mostly overhead and no help with directions.
I couldn't wait until the sun went farther West to get my directions. It was a warm Winter day but I wasn't dressed to be there after dark when the temperature fell, even if I did go in the correct direction.
I stuck a stick in the ground and made a mark in the dirt at the end of it's shadow. I sat down for about 15 minutes, then made a new mark in the dirt at the end of the sticks shadow again. I drew a line in the dirt to connect the two marks. This line ran close to the East/West direction, the first mark being the West direction.
I made it out about 5 PM just as the sun was disappearing through the trees.
SOLOVE THIS QUESTION PLSS
The top of a flag pole is 15 feet high. The base is at -3 feet. find the length of the flag pole.
HELPP
Answers
Answer:
positive its 18 feet
Step-by-step explanation:
There are 107 coins in a jar, all dimes and nickels. The coins are worth $6.70. How many of each kind of
coin is in the jar?
Answers
d = number of dimes
n = number of nickels
The jar contains a total of 107 coins, so
d + n = 107
Each dime is worth $0.10 and each nickel is worth $0.05, and the jar contains a total value of $6.70, so
0.10d + 0.05n = 6.70
Multiply both sides of the second equation by 100 to eliminate the decimal points:
10d + 5n = 670
Multiply both sides of the first equation by -5:
-5d - 5n = -535
Add the corresponding sides of these two equations to eliminate n and solve for d :
(10d + 5n) + (-5d - 5n) = 670 + (-535)
(10 - 5)d + (5 - 5)n = 670 - 535
5d = 135
d = 135/5 = 27
Then
n = 107 - d = 80
so the jar contains 27 dimes and 80 nickels.
Jerry Asked His Friends How long it took them to get ready In the Morning?
What is the Difference Between the length of time it took the friend who spent the most time getting ready and the length of time took the friend who spent the least time getting ready?
A: 6\8 Hr
B:7\8 Hr
C:7\0 Hr
D:6\0Hr
Answers
Answer:
The answer is A.
Step-by-step explanation:
First, you look at the longest time which is 7/8. Next, you look at the shortest time which is 1/8. You take 1/8 from 7/8 which is 6/8 which is A.
HELPPP PLEASEEEEE
Which graph shows the solution for the system of equations?
y = 5x +4
y = 5x - 2
Answers
the number of subscribers f(t) to a newspaper after t years is shown by the equation below f(t) = 75(.95)^t
Answers
The above equation can be rewrite as
which is equivalent to the exponential decay function with rate r=0.05=5%
⇒ The number of subscribers to a newspaper decreased by 5% every year.
evaluate the expression for the given value
11 + r r = 7
Answers
[tex]11+r =7[/tex]
r=-4
What is the value of x in this figure?
Answers
Answer: The value of x in this figure is 43
Step-by-step explanation:
have a nice day !!
in order to find x, you need to know the two angles on the base of the triangle.
by using vertical angles theorem, you find that the bottom right angle is 80 degrees.
by noticing the missing angle is vertical to the supplementary angle of 123, you can subtract 123 degrees from 180 and get 57.
then, because every triangle has a sum of 180 degrees, you add 57 degrees and 80 degrees together to get 137 degrees.
finally, to get x, you subtract 137 degrees from 180 and get x=43 degrees.
i hope that i helped!
Carl's age is three more than two times Lindsay's age. Carl is 39 years old. How old is Lindsay? Let L=Lindsay's age in years. Write the equation that represents this problem. Explain how you used math to write the equation.
Answers
Answer:
(39 x 2) + 3 = 81
Step-by-step explanation:
You can use math by multiplying 39 by 2 then adding 3 to get 81.
QUICK PLEASE!!!
answer this question and show work or have an explanation.
Answers
Answer:
70
Step-by-step explanation: Triangle angle sum theorem states the interior angles of a triangle sum to 180 degrees. We know one angle is 40 degrees and the two remaining angles are equal in measure.
Since angle J and angle L are equal in measure we can substitute 2x for angles J and L into the equation.
40 + 2x = 180. Subtract 40 from both sides.
2x = 140. Divide both sides by 2.
X = 70
Find the equation of the straight line passing through P(-2,1) and parallel to the line with equation 2x-3y=1
Answers
2x-3y=-5
2x−3y+8=0
⇒−3y=−2x−8
⇒3y=2x+8
⇒y=
3
2
x+
3
8
That's how I knew it
hopes it helps you
And
your welcomeee
<<<::
What should be added to 4/5 to get (-2)
Answers
Answer:
- 14/5
Step-by-step explanation:
4/5+x=-2
.......
Answer:
you just need to let x for unknown quantity then solve the equation, it is easy u need to be practical. solution is below:
Step-by-step explanation:
4/5+x=-2
4+5x/5=-2
5x=-14
x=-14/5
x=-2.8
Two different counting numbers from 1 to 10 were randomly chosen. What is the probability that the larger one is a multiple of the smaller one?
Answers
Answer:
7/10
Step-by-step explana
7/10 was the answer
Answer:
7/10
Step-by-step explanation:
Jayden and Carson are selling T-shirts and sweatshirts for a fundraiser. Jayden sells 9 T-shirts and 3 sweatshirts for $420. Carson sells 1 T-shirt and 6 sweatshirts for $296.
Write a system of equations (without solving it) representing the price of a T-shirt, t, and the price of a sweatshirt, s
Answers
Answer:
9t + 3s = 420
t + 6s = 296
s =44; t = 32
Step-by-step explanation:
Let
Price of a T-shirt = t
Price of a sweatshirt = s
Jayden:
9t + 3s = 420
Carson:
t + 6s = 296
9t + 3s = 420 (1)
t + 6s = 296 (2)
From (2)
t =296 - 6s
Substitute t =296 - 6s into (1)
9t + 3s = 420 (1)
9(296 - 6s) + 3s = 420
2664 - 54s + 3s = 420
2,664 - 51s = 420
-51s = 420 - 2,664
-51s = -2,244
s = 44
Substitute s = 44 into (2)
t + 6s = 296
t + 6(44) = 296
t + 264 = 296
t = 296 - 264
t = 32
s =44; t = 32
What is the square root of 36?
Answers
Answer: 6
[tex]\sqrt{36}[/tex] = 6
Answer: 6
Step-by-step explanation: Divide the number by your guess. Now you have two numbers that multiply to get your original number. Take the average of these two numbers. This becomes your second guess for the square root.
Solve the equation.
-8/5b = 5 b=
Answers
!!!!special right triangles help!!!!
please i’ll do anything IM SO DESPERATE
Answers
Answer:
1.) a= √50
2.) a = (10√3)/3
3.) a = 6
4.) a =√5
5.) a = (3√2)/2
6.) a =2
7.) a=12
8.) a= 3√3
9.) a= 6√2
10.) a= 2√3
11.) a= 2√2
12.) a=8
Step-by-step explanation:
30-60-90 triangles
hypotenuse = 2(short leg)
short leg = 1/2(hypotenuse)
long leg = short leg(√3)
short leg = long leg/√3
45-45-90 triangles
hypotneuse = leg(√2)
Answer:
give this man braniliest! he is actually being ur personal tutor
Step-by-step explanation:
Help me on this because I am so confused
Answers
What story does the graph tell about the turtle's
journey?
Need fast
Answers
Help please one more time -
Answers
Answer:
18.85
Step-by-step explanation:
What is the area of this shape?
A. 42 cm squared
B. 35 cm squared
C. 26 cm squared
D. 14 cm squared
Answers
Answer:
A. 42 cm²
Step-by-step explanation:
Rectangle Area: lw
Put the measurements into the expression
(7)(5)
7•5 = 35
Triangle Area: 1/2bh
1/2(7)(2)
1/2(14)
7
Add them together: 35 + 7 = 42 cm²
What is the quotient of 2.262 and 0.13? Select one: A. 11.5 B. 12.3 C. 15.9 D. 17.4
Answers
in science class vicky did an experiment with an unknown soild. she started with 21 grams of the solid. During the experiment , the change in the mass of the solid was -4 grams. what was the final mass of the solid ?
Answers
Answer:
17 grams
Step-by-step explanation:
21grams-4=17grams
Answer:
17 grams
Step-by-step explanation:
Since the starting mass was 21 and the change was -4, you would do 21-4, which gives you 17 grams (or the final mass).
Cole is 53 4/5 inches tall. Sheila is 1 1/6 inches taller than Cole and Jane is 1 1/3 inches taller than Sheila. How tall is Jane?
Answers
Answer:
54 3/10 inches tall
Step-by-step explanation:
1 1/6 + 1 1/3 = 2 1/2
53 4/5 + 2 1/2 = 54 3/10
The height of Sheila is 62 ²³/₃₀ inches. Then the height of Jane will be 83 ³¹/₄₅ inches.
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.
Cole is 53 ⁴/₅ inches tall. Sheila is 1 ¹/₆ inches taller than Cole. Then the height of Sheila is calculated as,
⇒ (53 ⁴/₅) × (1 ¹/₆)
⇒ 62 ²³/₃₀
Jane is 1 ¹/₃ inches taller than Sheila. Then the height of Jane is calculated as,
⇒ (62 ²³/₃₀) × (1 ¹/₃)
⇒ 83 ³¹/₄₅ inches
The height of Sheila is 62 ²³/₃₀ inches. Then the height of Jane will be 83 ³¹/₄₅ inches.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Please help
Find the are of the trapezoid given the following
Answers
9514 1404 393
Answer:
A = 8x³ +4x² -4x
Step-by-step explanation:
Put the given values into the area formula and simplify.
[tex]A=\dfrac{1}{2}h(b_1+b_2)\\\\A=\dfrac{1}{2}(4x)((x^2+2)+(3x^2+2x-4))\\\\A=(2x)(4x^2+2x-2)\\\\\boxed{A=8x^3+4x^2-4x}[/tex]
Which function is equivalent to y=3(x−2)^2+6?
y=3x^2−12x+30
y=3x^2+10
y=3x^2−4x+10
y=3x^2−12x+18
Answers
Mr. Burns organized the grades for 11 students in the boxplot below. None of the students earned the same grade. What percent of grades are between 79 and 84?
A. 100%
B. 25%
C. 50%
D. 75%
Answers
Answer:
C
Step-by-step explanation:
Answer: 25%
Step-by-step explanation: Sorry this is late
Tom's earnings vary directly with the number of hours he works. Suppose that he worked 9 hours yesterday and earned $126. How much will he earn today if he works 8 hours?
Answers
hope this helped :)
х
4.8 ft
6.5 ft
3.8 ft
The illustration models a shadow cast by a palm tree and the shadow of an individual at 5 o'clock each day. To the nearest tenth,
how tall is the palm tree?
Answers
Answer:
8.2FT
Step-by-step explanation:
Answer:
The answers 8.2!!
Step-by-step explanation:
I just guessed on the usatestprep and got it lol