Answer:
[tex]\frac{2}{k+2}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}[/tex]
We are to find the product as shown:
[tex]= \frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{k^2-2^2} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{(k-2)(k+2)} * \frac{k-2}{2k+1}\\\\= \frac{2}{k+2} * 1\\\\= \frac{2}{k+2}[/tex]
Hence the required function is [tex]\frac{2}{k+2}[/tex]
d. StartFraction 2 Over k + 2 EndFraction
aka
d. 2/k+2
The surface area for a rectangular prism is given by the formula SA = 2ab + 2bc + 2ac, where a, b, and c are the lengths of the prism. If the surface area of a rectangular prism with side c measuring 12 meters is 434 square meters and length of side a measuring the same length as side b, then what is the length of side a of the rectangular prism?
Answer:
We are given
We are also given and , which allows us to rewrite the equation as
(I substituted every "b" with "a" and every "c" with "9").
The solutions to this quadratic equation are -25 and 7. We discard -25 because a side with negative length would make no sense.
The required measure of side a of the rectangular prism is a = 9.3 meters.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
SA = 2ab + 2bc + 2ac
434 = 2a² + 14a + 14a
434 = 2a² + 28a
2a² + 28a - 434 = 0
a² + 14a - 217 = 0
a² + 14a + 49 - 49 - 217 = 0
(a + 7)² = 266
a = 9.3 or a = -23.3
Since the negative measure of length can be neglected.
a = 9.3 = b
Thus, the required measure of side a of the rectangular prism is a = 9.3 meters.
Learn more about the surface area here: https://brainly.com/question/2835293
#SPJ5
Over what interval is the function nonlinear?
Answer:
Step-by-step explanation:
3rd one
Pls help me with this question.
Answer:
x=1Step-by-step explanation:
[tex] \frac{5(x + 6) - 15(2 - x)}{3x - 1} = 10 \\ [/tex]
[tex] = > 5(x + 6) - 15(2 - x) = 10(3x - 1)[/tex]
[tex]5x + 30 - 30 + 15x = 30x - 10[/tex]
[tex] = > 20x = 30x - 10 \\ = > 20x - 30x = - 10 \\ = > - 10x = - 10 \\ = > x = 1[/tex]
hope it helps:)
30 points! RIGHT ANSWER GETS BRAINLIEST!
Use 3 for pi. Area= (blank) circumference= (blank) meters
Answer:
Step-by-step explanation:
pi x 7 squared = 153.938040026
Couch and coffee table cost a total of $996. The cost of the couch is two times the cost of the coffee table find the cost of each item.
Answer:500
Step-by-step explanation:
Task 4
Shelly started driving her own car for Uber. She
charges a flat fee of $5.00 and $0.50 for every
kilometer.
Q: How many kilometers were travelled if she
charges $32.50?
Answer:
5 and 10/11 kilometers
Step-by-step explanation:
if she gets $5.50 per 1 kilometer the she gets $33 dollars per 6 kilometers but she got 32.50 there are $0.50 missing which equals to 10/11 the actual price so she went 5 kilometers and 10/11 killometer
is a hotdog a taco or a sandwitch?
Answer:
Step-by-step explanation:
None of them
Is "The radio's sound died down" a metaphor, personification, onomatopoeia, or oxymoron answer quick
Answer:
I think personification
Step-by-step explanation:
9 x 2 = 2 x 9
A. Associative property of x
B. Distributive property
C. X inverse property
D. Commutative property of X
Answer:
D
Step-by-step explanation:
communicative property of X
Decrease £14132.77 by 4.5%
Give your answer rounded to 2 DP.
20 points!
Just need help on these questions
I will try to mark brainliest!
Answer:
the first one is 45% I don't no the second one
A 123-inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
Answer:
the shorter pipe is 41 inches the longer one is 82 inches.
Step-by-step explanation: hope this helps
Which of the following sunds does not result in an answer of -5?
1. (-7) + (+2)
2. (-11) + (+6)
3. (-9) - (-4)
4. (-8) - (+3)
Answer:
4. (-8) - (+3)
Step-by-step explanation:
This answer does not result in an answer of -5
This subtracts -3 from -8, which gives you the answer of -11.
So, this answer is correct because it is the one that doesn't result in -5.
Answer:
Problem #4
Step-by-step explanation:
Some things to remember when doing problems like are
Double negative = positive
Double positive = positive
Negative & positive = negative
1. (-7) + (+2) 2. (-11) + (+6) 3. (-9) - (-4) 4. (-8) - (+3)
-7 + 2 -11 + 6 -9 + 4 -8 - 3
-5 -5 -5 -11
one more than the product of 6 and a number v?
Plzzzzzz help me:(
And PLZZZ answer right
Thank u!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!:)
Helpppppp plssssssssss
Answer
I dont know
Step-by-step explanation:
I would love to help but I have no clue
Answer:
slope = 12/7
Step-by-step explanation:
y2 - y1 / x2 - x1 = slope
slope = 4-(-8)/0-(-7)
slope = 12/7
I got some money for my birthday. I save and spend in the ratio 2:3. I save £32. How much money did I receive for my birthday?
Answer:
80 i think
Step-by-step explanation:
32.3=80
Step-by-step explanation:
Amount of money saved : spent = 2 : 3.
Since amount of money saved = £32,
Amount of money spent = £32 * (3/2) = £48.
Total amount of money = £32 + £48 = £80.
Therefore I received £80 for my birthday.
WILL MARK YOU BRAINLIEST HURRY PLZ IM ON A TIME LIMIT
Answer:
Angle Y < Angle Z
Step-by-step explanation:
Answer:
angle X < angle Y
Step-by-step explanation:
........
Help pleasee! Thank uu
Answer:
The answer is the 2nd option
Step-by-step explanation:
Pleaseeee helppppp meeeeee
Answer:
the answer is (1)
Step-by-step explanation:
k = am +3mx
i) factorize out m from the expressionk = m(a+3x)
ii) rearrange the equation using commutative propertym(a+3x) = k
iii) divide both sides of the equation by (a+3x)[tex] \frac{m(a+3x)}{(a + 3x)} = \frac{k }{(a + 3x)} [/tex]
[tex]m = \frac{k }{a + 3x} [/tex]
27 = -3x - 9 plssss helppp
Answer:
x = 1-2
Step-by-step explanation:
27 = - 3x - 9
36 = -3x
-12 = x
x = -12
Step-by-step explanation:
27+9=-3x
36=-3x
36 divided by -3=x
-12=x
How many groups of 13 inch are in 34 inch?
Answer:
2 groups
Step-by-step explanation:
13 times 3 is 39
39 is not 34
please mark me brainliest!!!
Write down the value of the 4 in 8642 in figures
Order the following fractions from least to greatest 2/8 2/3 2/9
Answer:
2/9, 2/8, 2/3
Step-by-step explanation:
2/9= 0.22 (to 2 decimal point)
2/8= 0.25
2/3 = 0.67
Which of the graphs below represents the solution set for d - 4 > -3?
Answer: C
Step-by-step explanation:
Pls help and show workings
Step-by-step explanation:
AB = 72 so, then FB would be half of that
so 72 divided by 2 would be 36
5x+1=36 then do substitution
-1 from both sides (from +1 you gotta do the inverse)
5x = 35
divide 5 from both sides because in between 5 and x is a times so the inverse of that is divide
x = 7
Which of the following is the slope intercept form of the equation
3x - 8y = 16
A- y = 3/8x + 2
B- y = 3/8x - 2
C- y = -3/8x + 2
D- y = -3/8x - 2
Answer:
y = 3/8 x - 2
Step-by-step explanation:
Put 8y on the other side to get
8y + 16 = 3x
8y = 3x - 16 and thus
y = 3/8 x - 2
Pls help??????????????
Answer:
perpendicular
Step-by-step explanation:
L1: find the slope
rise: 2 - (-5) = 7
run: -1 - (-3) = 2
m1 = 7/2
L2:
rise: 2 - 4 = -2
run: 7 - 0 = 7
m2 = -2/7
parallel means same slope m1 = m2
perpendicular means opposite reciprocal (flip and change signs)
7/2 flip and change signs = -2/7, yes thus it is perpendicular