From the window of an airplane, you can see a farmhouse directly below. If the plane is traveling at an altitude of 9 kilometers, how far from the farmhouse will the airplane be after it has traveled 12 kilometers at the same altitude?
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Answer:
Step-by-step explanation:
In the image below.
I hope I've helped you.
Related Questions
Use elimination to solve.
3y-6x=7
-4y-3x=9
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Answer:
x = -5/3, y = -1 or [tex](-\frac{5}{3}, -1)[/tex]
Step-by-step explanation:
Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.
Equation 1: 3y - 6x = 7
Equation 2: -4y - 3x = 9
Step 1: Multiply Equation 2 by -2:
(-2)(-4y - 3x) = 9 (-2)
8y + 6x = -18
Step 2: Add "8y + 6x = -18" to Equation 1:8y + 6x = -18
+ 3y - 6x = 7
11y = -11
Step 3: Divide both sides by 11 to solve for y:[tex]\frac{11y}{11} = \frac{-11}{11}[/tex]
y = -1
Step 4: Substitute y = -1 into Equation 2 to solve for x:-4(-1) - 3x = 9
4 - 3x = 9
Step 5: Subtract 4 from both sides:4 - 4 - 3x = 9 - 4
- 3x = 5
Step 6: Divide both sides by -3 to solve for x:[tex]\frac{-3x}{-3} = \frac{5}{-3}[/tex]
[tex]x = - \frac{5}{3}[/tex]
Verify whether the values for x and y are correct by substituting their values into both equations:
x = -5/3, y = -1
Equation 1: 3y - 6x = 7
[tex]3(-1) - 6(-\frac{5}{3}) = 7[/tex]
-3 + 10 = 7
7 = 7 (True statement).
Equation 2: -4y - 3x = 9
-4(-1) - 3 (-5/3) = 9
[tex]-4(-1) - 3(-\frac{5}{3}) = 9[/tex]
4 + 5 = 9
9 = 9 (True statement).
Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.
need help, im confused
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Answer:
Part A: correct
Part B: $20
Step-by-step explanation:
Part B:The amount Vanessa pays for her printer and 2 cartridges is ...
$90 +2(25) = $140
The amount Tia pays for her printer and 2 cartridges (c=2) is ...
t = 80 +20(2) = 120 . . . . dollars
Then the difference in the amounts they pay is ...
$140 -120 = $20
Hi, someone else asked this question and I know that the answer is 6, but don’t know why. Could someone explain this for me, please? If you can make me understand I’ll give you brainliest…
Answers
Answer:
6
Step-by-step explanation:
I'm not exactly sure, but since 6 is the only number missing from this pattern, wouldn't it make sense for the answer to be 6?
If a line has the x-intercept of (4,0) and no y-intercept, what is the Slope-intercept form equation ? Please !!
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Answer:
y=mx+c
0=m(4)+c
c=4m
positive slope
Please helpp!! best answer gets brainliest
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Answer:
the answer is B and C, because B equals .57 and C is .666 continuous
Answer:
C
Step-by-step explanation:
Turn everything into a fraction (round if needed)
4/7 = 0.571
A. 2/5 = 0.4 (0.4 < 0.57) since 0.4 is smaller than 0.57, it’s not A.
B. 0.57 (0.57 < 0.571) 0.56 is less than 0.571, so the answer could not be B.
C. 2/3 = 0.67 (0.67 > 0.57) 0.67 is greater than 0.571, meaning the answer could be C.
if a shirt is 50$ and is on sale for 20% off how much wil you pay with 6% sales tax
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Answer:
42.4 is the correct answer to this question
Which of the following is a solution of y - x < -3?
(6, 2)
(2, 6)
(2, -1)
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Answer:
2,-1
Step-by-step explanation:
The triangles shown below must be congruent.
25°
55-7
100"
100
55"
25°
0
о
A. True
о
B. False
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9514 1404 393
Answer:
B. False
Step-by-step explanation:
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
There is nothing in the diagram to require the triangles be congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
To learn more about the congruent theorem visit:
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What is the equation of the line??
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Answers:
m = -2/3
b = 1
equation: y = (-2/3)x + 1
This is the same as writing [tex]y = -\frac{2}{3}x+1[/tex]
===========================================================
Explanation:
There are a few approaches, but I like to start at the y intercept whenever it is an integer. The y intercept is where the diagonal line crosses the vertical y axis. In this case, that location is (0,1) telling us that b = 1 is the y intercept.
From that starting anchor point, we need to find a way to get to another point on this line. There are a few ways to do this, but we can move down 2 and to the right 3 units to go from (0,1) to (3,-1). This "down 2 right 3" motion directly leads to the slope of rise/run = -2/3
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Alternatively, you can start at something like (-3,3) and move down 4 and move right 6 to arrive at (3,-1). Note how rise/run = -4/6 = -2/3. No matter where you start, moving along this line will involve a "down 2 right 3" movement pattern. Be sure to reduce any fractions as much as possible.
Yet another alternative is to apply the slope formula using any two points on the line. Preferably they have integer coordinates.
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However you determine the slope, it's m = -2/3 after fully reducing. It along with b = 1 is plugged into y = mx+b to get y = (-2/3)x+1 as the equation of this line. It's in slope intercept form.
What is the answer for 14.05 x 7
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Answer:
98.35
there that is the answer
To prove that ΔDEF ≅ ΔDGF by SSS, what additional information is needed?
1. ∠DEF ≅ ∠DGF
2. ∠DFE ≅ ∠DFG
3. DE ≅ DG
4. DG ≅ GF
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The additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG
Recall:
If two triangles have three pairs of congruent sides, the two triangles can be proven to be congruent triangles based on the SSS Congruence Theorem.In the figure given, ΔDEF and ΔDGF is shown to have the following two pairs of congruent sides:
EF ≅ GF
DF ≅ DF (both triangles share a common side)
We need an additional information that shows that the third sides of both triangles (DE and DG) are congruent to each other.
Therefore, the additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG
Learn more about SSS Congruence Theorem on:
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Answer:
C. DE ≅ DG
Step-by-step explanation:
Have a good day!
Xavier is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. Let C represent the total cost of using a computer for t minutes at the internet cafe. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.
C = ???
The slope of the function is ? which represents:
A: The total charge of using a computer
B: The number of minutes the computer was used
C: The additional charge per minute
D: The initial charge to use a computer
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Answer:
C = 1/5t +6
slope: 1/5, (C) The additional charge per minute
Step-by-step explanation:
Before we can write the function, we need to know the slope of the line. Marked points are separated by 5 units horizontally (run=5) and 1 unit vertically (rise=1). The slope is ...
m = rise/run = 1/5
The initial charge is the C-intercept: 6. The function can be written in slope-intercept form as ...
C = 1/5t +6
__
As we saw above, the slope of the function is 1/5, which represents ...
the additional charge per minute
There are about 3 × 1020 gallons of salt water on the earth, while there are about 6 × 1018 gallons of fresh water. About how many times the amount of fresh water is the amount of salt water? 200 times the amount 500 times the amount 2 times the amount 50 times the amount
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Answer C
Step-by-step explanation:
3044 in a base 5 to a base 10
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Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.
x + y = 7
x - y = 5
Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
A. The solution is x= 6 and y = 1. (Type integers or simplified fractions.)
** i know that x=6 and Y=1. I don’t know how to graph it. It gives me a hint that the lines need to be in slope intercept form but again, I dont know how to graph! **
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So the easiest way would be to change them into slope intercept form
x + y = 7
y = - x + 7
x - y = 5
y = x - 5
The coefficient of x is the slope, since none of them have a coefficient, their slopes are 1. The first line has negative x which means the slope is negative one, which you can draw from top left to bottom right and a positive slope is drawn from top right to bottom left.
The number after x is the y-intercept which is where the line intercepts the y-axis.
To draw, put a dot on the y-intercept and with a slope of one, go up and right one, or the opposite which is go down one and left one and put another dot and draw a line between the two dots. With a slope of negative one, go up one and go left one, or the opposite which is go down one and right one and draw a line between the two dots.
Determine the inverse of the function f(x) = 3(x - 4)^2 + 5.
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f(x) as given has no inverse. We see that, for instance, f(1) = f(7) = 32; that is, two different values of x give the same value of f(x), so f is not one-to-one.
We can however restrict the domain over which f is defined to extract an invertible function. One such choice would be to restrict to the interval x ≥ 4, which I'll demonstrate below.
Recall the definition of function inverse:
f(f^(-1)(x)) = x
Then for this function, we have
3 (f^(-1)(x) - 4)² + 5 = x
3 (f^(-1)(x) - 4)² = x - 5
(f^(-1)(x) - 4)² = (x - 5)/3
√((f^(-1)(x) - 4)²)= √((x - 5)/3)
For all x, √(x²) = |x|. Then √((f^(-1)(x) - 4)²) = |f^(-1)(x) - 4|, but by restricting x ≥ 4, or x - 4 ≥ 0, we have the condition that f^(-1)(x) - 4 ≥ 0, and so by definition (of the absolute value function) the absolute value reduces to the positive case. In short, we end up with
f^(-1)(x) - 4 = √((x - 5)/3)
and hence the inverse
f^(-1)(x) = √((x - 5)/3) + 4
Two students are working on the same homework assignment. Antonia has completed 18 out of 45 questions. Oliver has completed 20% of the questions. Which student has completed the most questions, and why?
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Answer: Your anwser who has the most completed it would be the person with 18 questions anwsered out of 45
Step-by-step explanation:
The reason of this is becuase 20 percent of 45 if 9 and thats 9 questions out of 45 so 18 questions out of 45 is more
please mark brainliest thank you
(3)a train travel 252 km in 42 hours. what amount of time will it take to complete a journey of 350km. (4) calculate the cost of 15 article at $1.95 each cost. (5) if 25 article cost 43.75 how much does each cost. (6) A car travel 240km on 20 liter of petrol. how many liters of petrol is needed to travel 600km
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Answer:
(3)
Distance the train can travel=252km
Distance the train can travel in 1 hour=252÷42=6km
The time needed to cover 350km= 350÷6=58.4 hours.
(4)
The cost of 1 articles=$1.95
The cost of 15 articles= 15(1.95)=$29.25
(5)
Cost of 25 articles= 43.75
Cost of 1 article= 43.75/25=1.75
(6)
Liters of petrol needed when a car travels 240km=20litre
liters of petrol needed when a car travels 600km= 20/240 x600
20/24x60
20/4x10
5x10=50liter
3x+2=198
Solve it as Soon as possible!
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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve for x ~
[tex]3x + 2 = 198[/tex][tex]3x = 198 - 2[/tex][tex]3x = 196[/tex][tex] \boxed{ \boxed{x = \dfrac{196}{3} } \: \: or \: \: \boxed{ x = 65.33}}[/tex]Answer:
[tex]\boxed{\blue{ = \frac{196}{3}}} [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
3x+2=198
Step 1: Subtract 2 from both sides.
3x+2−2=198−2
3x=196
Step 2: Divide both sides by 3.
[tex] \tt \: \frac{3x}{3} = \frac{196}{3} [/tex]
Result:
[tex]\boxed{\underline{ x = \frac{196}{3}}} [/tex]
1)cot a/2 -tan a/2 = 2 cot a
2) cot b/2 + tan b/2= 2 cosec b
prove
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LHS = cot(a/2) - tan(a/2)
= (1 - tan^2(a/2))/tan(a/2)
= (2-sec^2(a/2))/tan(a/2)
= 2cot(a/2) - cosec(a/2)sec(a/2)
= 2(1+cos(a))/sin(a) - 1/(cos(a/2)sin(a/2))
= 2 (1+cos(a))/sin(a) - 2/sin(a)) (product to sums)
= 2[(1+cos(a) -1)/sin(a)]
=2cot a
= RHS
2.
LHS = cot(b/2) + tan(b/2)
= [1 + tan^2(b/2)]/tan(b/2)
= sec^2(b/2)/tan(b/2)
= 1/sin(b/2)cos(b/2)
using product to sums
= 2/sin(b)
= 2cosec(b)
= RHS
I can use structure to decide where to place the first digit in a quotient. A strongly agree B. agree C. disagree qD. strongly disagree
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Answer: For this question, it's just like a self-survey. If you understand this concept strongly or not really, you go with that answer like strongly agree, agree, etc.
An airplane starts to descend from an altitude over 30,000 feet at what rate is the airplane descending?
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Answer:
20,000 feet
Step-by-step explanation:
Based on the initial altitude and the rate that the plane is descending, the relevant equation is = 30,000 - 2,000x. The altitude after 5 minutes is 20,000 feet above sea level.
The plane begins at 30,000 feet above ground and is descending at 2,000 feet per minute. The relevant equation after x minutes is:
= Initial altitude - (Descent in feet per minute x Number of minutes)
Plugging in the values gives:
= 30,000 - (2,000 × x)
= 30,000 - 2,000x
creds to Parrain
Record the prime factorization of 720 using exponents
Answers
Answer:
20
Step-by-step explanation:Because thats the last two digets
The prime factorization of 720 using exponents is 2⁴×3²×5.
The given number is 720.
Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.
The factors of 720 are
720 = 2×2×2×2×3×3×5
Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
Now, 2×2×2×2×3×3×5 = 2⁴×3²×5
Therefore, the prime factorization of 720 using exponents is 2⁴×3²×5.
Learn more about the prime factorisation here:
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Where do I put the parenthesis to make it true?
5 – 6w – 5 – 95 + 2w = –48w – 70
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Answer:
i just stole your points thank you
Step-by-step explanation:
5 – 6w – 5 – 95 + 2w = –48w – 70
-6w + 2w + 48w = -70 -5 + 5 +95
44w = 25
w=25/44
I need help with part a and b please
Answers
Answer:
The total answer should be 38 on the top
Step-by-step explanation:
a) So the first partial quotient would be equal to 30 as 31 x 30 = 930
b) Second partial quotient would be 8 as 31 x 8 = 248
Answer:
0
38
I hope it's help byeeee
help pls and ty! i will give brainliest to the correct answer
Answers
Answer: 24km
Step-by-step explanation:
given 1cm : 8km
distance between cafe and restaurant upply store= 3cm
Real distance = 3x8 =24 km
Customers at a gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the scenario.
What is the slope of the line?
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(9 + 31 + 5)[(7 x 5) x 4]
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Answer:
The answer to your question is (7.5.4
Which of these angle pairs are congruent because they are corresponding
angles?
A. 2 and 4
B. 2 and 3
C. 2 and 5
D. 2 and 6
SUBMIT
Answers
Answer: it’s 2 and 6
Step-by-step explanation:
63% to fraction
[tex] \frac{63}{?100} [/tex]
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Follow the steps mentioned below to write 0.63 as a fraction.
Step 1: Determine the number of digits after the decimal point in the decimal number. Here, there are 2 digits after the decimal point.
Step 2: Remove the decimal point and write the number by the power of 10 which is equal to the number of digits after the decimal point. So, here we will divide 63 by 102
Step 3: Express the fraction in simplified form.
So, 0.63 as a fraction is,
0.63 = 63/100
