The formula for the area of a trapezold with altitude k and bases m and n is A=k/2(m+n)
Solve for m.
Answers
Answer:
[tex]m=\frac{2A-kn}{k}[/tex]
Hence, option C is true.
Step-by-step explanation:
Given the expression
[tex]A=\frac{k}{2}\left(m+n\right)[/tex]
Solving for 'm'
[tex]A=\frac{k}{2}\left(m+n\right)[/tex]
Flip the equation
[tex]\frac{k}{2}\left(m+n\right)=A[/tex]
Expanding by applying the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]
[tex]\frac{1}{2}km+\frac{1}{2}kn=A[/tex]
Add (-1)/2 × kn to both sides
[tex]\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A[/tex]
simplify
[tex]\frac{1}{2}km=-\frac{1}{2}kn+A[/tex]
Divide both sides by k/2
[tex]\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}[/tex]
[tex]m=\frac{2A-kn}{k}[/tex]
Therefore,
[tex]m=\frac{2A-kn}{k}[/tex]
Hence, option C is true.
Related Questions
What do 5.75 and 8.75 have in common
Answers
Answer:
Least common multiple (also called the lowest common multiple or smallest common multiple or LCM) of one or more integer numbers
Step-by-step explanation:
A plane can travel 640 miles against the wind in the same time it can travel 800 miles with the wind. If the plane can fly 180 mph in calm air, what is the speed of the wind? If x represents the speed of the wind, which expression represents the time it takes for the plane to travel the 640 miles against the wind?
1. 640/x
2. 640/(x+180)
3. 640/(180-x)
Answers
1. The difference of five times a number and 6 is -2.
Answers
Answer:
13
Step-by-step explanation:
5-x+6=-2
X=13
48 + 6m use the GCF to rewrite the expression
Answers
48+-6m=0
6(x-4y) does anyone know this answer
Answers
Answer:
4
Step-by-step explanation:
i need help this is cell division concept map
Answers
Answer the question in the image below
Answers
Answer:
(0,-3)
Step-by-step explanation:
I need help please help me number 3 and 4
Answers
3. is 10 add 5 or round 5 its 10 4. is 28 and i just added sorry if 4 is wrong
find the sum: (6a + 6) + (3x - 2) + (2a + 4)
Answers
Answer:
8a + 3x + 8
All you have to do is add numbers around to make the process easier.
On a coordinate plane, point A is 1 unit to the left and 1.25 units up. Point B is 1.25 units to the left and 0.25 units up. Point C is 0.25 units to the left and 1 unit down. Point D is 0.25 unit to the left and 0.25 unit up.
Which point is located at (Negative 1, 1, and one-fourth)?
A
B
C
D
Answers
Answer:
It is Number A
Step-by-step explanation:
Got it off edge 2021 6th grade assighnment
Answer:
a lol
Step-by-step explanation:
A family wants to rent a car to go on vacation. Company A charges 70.50$ and 16cents . Company B charges 30.50$ and 8 cents . How much more does Company A charge for x miles than Company B ?
Answers
Answer:
$40 dollars more
Step-by-step explanation:
Can you please help me with this???
Answers
Answer:
SQT = 100
Step-by-step explanation:
A full circle equals 360 degrees, when the other angles are added up 140 + 120 = 260 which is 100 off of 360 meaning the last angle is that 100 degrees.
i’ll give you all my points that i have and rate you good if you answer these three questions before 3:00pm est. if f(x)=8-5x, find each value. one is f(4c), the second question is f(2-k), and the third is f(4p+3)
Answers
4c=8-5(4c)
2-k=8-5(2-k)
4p+3=8-5(4p+3)
In the first one you distribute the -5
4c=8-20c
Then add 20c to both sides
24c=8
And divide by 24
C=8/24 or 1/3
Distributing the -5 on the second one gets you
2-k=8-10+5k
Then you combine like terms
2-k=-2+5k
Subtract 5k from both sides
2-6k=-2
Subtract 2 from both sides
-6k=-4
Divide by -6
K=4/6 or 2/3
and lastly the equation is 4p+3=8-5(4p+3)
So you distribute -5
4p+3=8-20p-15
Combine like terms
4p+3=-20p-7
Add 20p to both sides
24p+3=-7
Subtract 3 from both sides
24p=-10
And then divide by 24
P= -10/24 or -5/12
Selena is 2 years older than Maria, and Sofia is 3 years younger than Maria. If the sum
of their ages is 44, then how old is each girl? (Let Maria's age = z.)
Answers
Answer:
Hi! Maria is 15 years old, Selena - 17 and Sofía - 12
Chad has a bag with 2 mint sticks, 11 jelly treats, and 7 fruit tart chews. If he eats one piece every 4 minutes, what is the probability his first two pieces will be a jelly treat and a mint stick and represent as a percent to the nearest tenth if necessary?
Answers
Answer:
first you add all the candies together to get 20 in the bag
2+11+7=20
jelly treat:
now we divide 11 by 20 to get a decimal
11/20= .55
multiply .55 by 100 to change it to a percentage
.55*100=55
first part of answer: He has a 55% chance of getting a jelly treat
mint stick:
divide 2 by 20 to get a decimal
2/20=.1
change .1 to a percent by multiplying by 100
.1*100=10
second part of answer: he has a 10% chance of getting a mint stick
Step-by-step explanation:
Julie wants to buy a shirt that regularly sells
for $ 40. It's now on sale for 35% off. How
much is the discount? What is the new sale
price?
Answers
Answer:
18, 22
Step-by-step explanation:
Hey, here are all the problems. Im not sure how to do this and my teacher isnt giving me much time. Help would be apricated
(9x + 5) - (-8x - 11)
(-5x - 7) + (-2x + 6)
(-x - 9) - (5x + 4)
(3x - 4) - (x - 7)
(7x + 4) - (5x + 5)
(2x - 3) + (7x + 11)
(-4x - 5) + 2(3x - 4)
2(6x - 7) - (2x + 3)
(5x + 4) - (5x + 12)
Answers
Answer:
17x + 16
-7x - 1
-6x - 13
2x + 3
2x - 1
9x + 8
2x - 13
10x - 11
- 8
Step-by-step explanation:
Did this all in my head so apologies if its incorrect! Mostly just collecting like terms and distributive property.
42−3×8
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
42-24=18
[tex]\huge\text{Hey there!}\\\\\\\huge\boxed{\mathsf{42 - 3\times8}}\\\huge\boxed{\rightarrow\mathsf{ 42 - 24}}\\\huge\boxed{\rightarrow\mathsf{18}}\\\\\\\\\boxed{Answer: 18}\huge\checkmark\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
The angle bisector of the angle ABC is BP. If angle ABP is 6nº, what is angle ABC?
Answers
Answer:
12n
Step-by-step explanation:
∠ABC is twice the value of 6n°
PLZ HELP!!!!!! I NEED TO FINISH THE DIAGNOSTIC TODAY!!!!!
Answers
Answer: acute and isosceles
Step-by-step explanation:
Answer:
acute and isosceles
Step-by-step explanation:
because obtuse means veryy wide and this triangle has small corners and is and isosceles (pleases give me a brainly)! hoped this helped!! :)
solve 2x-6= 12 pls mate
Answers
Answer: Standard form:
2x − 18 = 0
Factorization:
2(x − 9) = 0
Solutions:
x = 18
2
= 9
Step-by-step explanation:
12. It's solved you are correct.
Step-by-step explanation:
2x6=12 Also Please mark me brainelst btw mate 2x6 is 12 and 6x2=12. Thanks. I do not know if I'm right.
what are the terms coefficients and constants of 8x + x2/3
Answers
Answer:
coefficients =8 and 2/3
constants are also 8 and 2/3
These are the terms 8x and x2/3.
8 is the coefficient of x, while x is the coefficient of 8.
In a similar way, the coefficients of x are 3x, x², and 3, and the coefficient of 3 is x².
The terms' constants are 8 and 1/3.
What is a polynomial?A polynomial is an algebraic expression having two or more than two terms
written in the form of a₀xⁿ + a₁xⁿ⁻¹ + ... + aₙ.
Given, An expression 8x + x²/3.
The terms are 8x and x²/3.
The coefficient of x is 8, coefficient of 8 is x.
Similarly coefficient of x is 3x the coefficient of x² is 3 and the coefficient of 3 is x².
The constants of the terms are 8 and 1/3.
learn more about like terms here :
https://brainly.com/question/23325290
#SPJ5
A quadratic equation has a vertex located at (3,-2). What is the axis of symmetry?
Answers
What is a simplified expression term for -10f + -9f + 7
Answers
Answer:
-19f + 7
Step-by-step explanation:
group the fs
-19f + 7
is the simple expression
Find the value of the expression
dc + 2h
for c = 2, d = 3, and h = 3.
Answers
Answer:
12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
dc + 2h
c = 2
d = 3
h = 3
Step 2: Evaluate
Substitute: 3(2) + 2(3)Multiply: 6 + 6Add: 12Answer: 12
Step-by-step explanation: replace d and c for their numbers so it would be 3x2 since the numbers are next to each other you multiply. 3x2=6. do the same with the other side: 2x3=6. 6+6=12.
Need help show work I will give brainliest if answer is correct
Answers
Answer:
Step-by-step explanation:
surface of the entire object
1) bottom. 8*16= 128 sq inchs
2) triangle sides. 1/2 b*h = 1/2*16 *6 = 48 but there are 2 , the front, and the back. (2*48)=96 sq
3) pitched tops 10*8=80 but there are 2 80*2 = 160 sq
total = 1+2+3
total = 128 + 96 + 160
total surface area = 384 [tex]inchs^{2}[/tex]
can y'all please help 10 points
Answers
Answer:
[tex] \frac{23}{24} [/tex]
Step-by-step explanation:
[tex]2a + b[/tex]
[tex]a = \frac{5}{12} \\ b = \frac{1}{8} [/tex]
Substitute a = 5/12 and b = 1/8 in the expression.
[tex]2( \frac{5}{12} ) + \frac{1}{8} \\ \frac{5}{6} + \frac{1}{8} [/tex]
Our denominator must be 24. (LCM)
[tex] \frac{5 \times 4}{6 \times 4} + \frac{1 \times 3}{8 \times 3} \\ \frac{20}{24} + \frac{3}{24} \\ \frac{23}{24} [/tex]
Can someone please help me answer this?
Answers
Explain: 3x10=30, 3x11=33, 3x12=36, 3x13=39
solve for all solutions: sin5x=-1/2
Answers
Answer:
-1/10
Step-by-step explanation:
Let's solve your equation step-by-step.
5x=−1/2
Step 1: Simplify both sides of the equation.
5x= -1/2
Step 2: Divide both sides by 5.
5x/5 = -1/2/5
x=-1/10
Is 16 bigger than 16 11/16?