Answer:
Both lines have a slope of 5, therefore they are parallel lines.
Step-by-step explanation:
The equation of line L₁, is y=5x+1 The equation of line L₂ is 2y-10x+3=0 Show that these two lines are parallel.
As we know, the Parallel lines have equal slopes
The slop intercept form is y = mx + c
Where m is the slope and c is the y-intercept.
Consider the line L₁,
y = 5x + 1 is in the slop intercept form where slope m = 5
Now consider the line L₂.
Write L₂, 2y-10x+3=0 into slope-intercept form
[tex]2y=10x-3[/tex]
[tex]y=5x-\frac{3}{2}[/tex]
The slope of the lines L₂ is m = 5.
Since both lines have a slope of 5, therefore they are parallel lines.
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.
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.
k ( n ) = | n + 1 | − 1 ; Find k ( 4 )
Answer:
4
Step-by-step explanation:
Which of the following represents the solution to the equation 4x - 2 = 10?
Answer:
the top option
Step-by-step explanation:
solve 4x - 2 = 10 and you get
4x = 12
x = 3
this means there is only one solution and only 3 should be filled in
find the constant of proportionality (r) in the equation y=rx
Answer:
5
Step-by-step explanation:
The constant of proportionality (r) in the equation y=rx is 3
How to determine the constant of proportionality?The equation of the function is given as:
y = rx
Make r the subject
r = y/x
From the table, we have:
y = 36 when x = 12
So, the equation becomes
r = 36/12
Divide
r = 3
Hence, the constant of proportionality (r) in the equation y=rx is 3
Read more about constant of proportionality at:
https://brainly.com/question/24309476
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-5x+35=40
It's 2-step-equations btw :)
Answer:
x = - 1
Step-by-step explanation:
Given
- 5x + 35 = 40 ( subtract 35 from both sides )
- 5x = 5 ( divide both sides by - 5 )
x = - 1
50 points and a Brainliest.
Answer:
1a. 64=4(7+x)
1b. x=9
2a. 64=7+4x
2b. x=57/4
Step-by-step explanation:
1a. To represent this situation, all of the weight for each package must be in the equation. Since each package has 4 boxes, and only the objects in one box are detailed, everything must be multiplied by 4. Now, the values that must be multiplied by 4 are a bag of rice and beans. Since the beans weigh 7 pounds, they can be represented using the constant 7, and the rice can be represented with the variable x. Combining all of this information, the equation 64(total)=4(7+x)
1b. Now, the equation above must be solved. First, divide both sides by 4 in order to get 16=7+x. Now, subtract 7 from both sides to find that x=9
2a. This problem is similar to the first problem, except instead of multiplying both the beans and rice by four, only the rice needs to be multiplied. With this knowledge the equation 64=7+4x is created.
2b. To solve the above equation, 7 must be subtracted from both sides. This leaves 57=4x. Now, both sides must be divided by 4, giving the final answer of x=57/4.
Answer:
1a. 64=4(7+x)
1b. x=9
2a. 64=7+4x
2b. x=57/4
Step-by-step explanation:
✧･ﾟ:Multiple Choice:･ﾟ✧
What is the slope of the line in the graph below?
A. -2
B. -1
C. 1
D. 2
° ♡ ₒ ♡ °
Thank you!
Answer:
-2
Step-by-step explanation:
slope is rise over run
-2/1
= -2
Answer:
-2
Step-by-step explanation:
Slope is rise over run -2/1
can I please have some help
Step-by-step explanation:
6.-3
8.-36
10.11
make it braintliest please
Answer:
6) q = -3
8) d = -4
10) y = 10
Step-by-step explanation:
6) -7q = 21
divide by -7 on both sides
q = -3
8) -1/3d = 12
divide both sides by -1/3
d = -4
10) -88 = -8y
divide both sides by -8
10 = y
or
y = 10
HELP HELP HELP NO ONE HELPS ME
Write as a power of 10. How did you do it? a) 100 b) 10 000 c) 100 000 d) 10 e) 1000 f) 1 000 000
Answer: ↓↓↓
Step-by-step explanation:
a.) 100 - 10^2
b.) 10,000 - 10^4
c.) 100,000 - 10^5
d.) 10 - 10^1
e.) 1000 - 10^3
f.) 1,000,000 - 10^6
What I do personally is that I count the number of zeros in the number and that is how many powers the ten powers to. Like a, there are two zeros in 100 so its 10 to the power of 2.
PLEASE HELP ME I WILL GIVE YOU BRAINIEST
Answer:
2.68 × [tex]10^{26}[/tex] Km³
Step-by-step explanation:
Using the given formula for volume V, then
V = [tex]\frac{4}{3}[/tex] π × (4 × [tex]10^{8}[/tex] )³
= [tex]\frac{4}{3}[/tex] π × 4³ × ([tex]10^{8}[/tex] )³
= [tex]\frac{4}{3}[/tex] π × 64 × [tex]10^{24}[/tex]
= 268 × [tex]10^{24}[/tex]
= 2.68 × 10² × [tex]10^{24}[/tex]
= 2.68 × [tex]10^{26}[/tex] Km³
A rectangular swimming pool is 28 feet wide. Jason drew the pool at the scale below. 1 inch : 4 feet How many inches wide is Jason's drawing?
F. 4 inches
G. 7 inches
H. 14 inches
J. 21 inches
James wants to buy a new cell phone package there are three packages available for each offering a different deal which package offers the best deal
Answer:package 3
Step-by-step explanation:
Hope I am right it is there cheapest
What is 60 percent of 20
Answer:
The answer is 12. Hope this helped :-)
Step-by-step explanation:
60% of 20
6.2=12
7th grade math please help
Answer:
3.8 x 4.5
+
3.8 x 5.1 divided by 2!
Step-by-step explanation:
You can turn it into 2 squares, or follow the hints!
A square has a perimeter of 8x - 10 units, Each side is x units long. What is the value of x?
Answer:
They want you to recognize that you can make 2 equations that both are equal to P.... the perimeter.... and then set them equal to each other and solve for x .. as below
Step-by-step explanation:
P = 8x-10
P = 4x
4x = 8x-10
10 = 4x
2.5 = x
What is 2 x 2 x 2 x 2 x 2 x 2 x 2 is exponet form
Answer:
2^7
Step-by-step explanation:
Answer:
2^7
Step-by-step explanation:
2 to the 7th power because there are 7 2s in the whole equation
Also, 2*2*2*2*2*2*2 is 128, which is 2^7
Calvin evaluated Negative two-thirds times 5 and one-sixth using the steps below.
Step 1: Negative two-thirds time (5 + one-sixth)
Step 2: (Negative two-thirds + 5) times (Negative two-thirds + one-sixth)
Step 3: 4 and one-third times negative one-half
Step 4: Negative 2 and one-sixth
Which describes Calvin’s error?
In step 1, he incorrectly broke up 5 and one-sixth.
In step 2, he distributed the Negative two-thirds instead of the 5.
Answer:
The answer is C on Edge 2021
Step-by-step explanation:
In step 2 he confused the multiplication and addition signs
Answer:
C
Step-by-step explanation:
got it right
Michael needs to memorize words on a vocabulary list for German class. He has 12 words to memorize,and he is one-fourth done. How many words has Michael memorized so far?
Answer:
3
Step-by-step explanation:
12 divided by 4 equals 3
Hope this helped!! :)
Brainliest?!?!
Rationalize the denominator and simplify. √a+1 - 2 / √a+1 + 2
Answer:
5+a-4√a+1 / a-3
The rationalization of given expression is a+5-4√(a+1)/(a+5).
What is Rationalization?Rationalization can be considered as the process used to eliminate a radical or an imaginary number from the denominator of an algebraic fraction. That is, remove the radicals in a fraction so that the denominator only contains a rational number.
The given expression is √(a+1)-2/√(a+1)+2.
Multiply both numerator and denominator by (a+1)-2, we get
√(a+1)-2×(a+1)-2/√(a+1)+2×(a+1)-2
= (√(a+1)-2)²/(√(a+1))²+2²
= (√(a+1))²-2×√(a+1)×2+2²/a+1+4
= a+1-4√(a+1)+4/(a+5)
= a+5-4√(a+1)/(a+5)
Therefore, the rationalization of given expression is a+5-4√(a+1)/(a+5).
Learn more about the rationalization here:
https://brainly.com/question/1980047.
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I help me help me help me help me help help help help help me help me help me help me
Answer:
a would be 2/9 and b would b 1/4 and c would be 0.17
Step-by-step explanation:
Hi it's Mia! '^' Give the other person brainliest, They worked hard to get the answer you needed! Have a wonderful day! :)
17 - 4x = 33
What does X=?
Answer:
x = -4
Step-by-step explanation:
17 - 4x = 33
Subtract 17 from each side
17-17 - 4x = 33-17
-4x = 16
Divide each side by -4
-4x/-4 =16/-4
x = -4
maya joins two peices of wood together one peice is 36 inches long the total lenght of both peices is 62 how long is the other peice of wood
help ;-;...
Answer: 26
Step-by-step explanation:
62-36=26
Answer: 26
You simply have to subtract 36 from 62
CLEAR HIGHLIGHTING
COLOR THEME
ZOO
6. Ricky rolls a fair six-sided number cube, numbered 1 through 6, if he rolls the
dice 18 times. How many times should Ricky expect to roll an even number
Hooke’s Law of Elasticity states that the force applied, y, varies directly with the distance a spring stretches, x (assuming the spring is not stretched past its elastic limit). If a force of 160 newtons stretches a spring 800 cm, how far will a force of 368 newtons stretch the same spring? Justify your answer.
Group of answer choices
F. It will stretch the same spring 73.6 cm because the equation is y equals 5x.
G. It will stretch the same spring 73.6 cm because the equation is y equals one fifth x..
H. It will stretch the same spring 1,840 cm because the equation is y equals 5x.
J. It will stretch the same spring 1,840 cm because the equation is y equals one fifth x..
Answer:
H: It will stretch the same spring 1,840 cm because the equation is y equals 5x.
Step-by-step explanation:
800=y
160and368=x
You find the answer by dividing,
⁸⁰⁰⁄₁₆₀= ʸ⁄₃₆₈800 divided by 160 equals 5 which means the equation is y equals 5x
and 368x5=1,840
also, do you go to college park?
Do the ratios 3 8 and 4 7 form a proportion?
The ratios 3:8 and 4:7 are not proportion. You can tell this easily by how in the second ratio, the first number is one larger, but the second number is 1 lower. If this was proportional, then both numbers would go either up or down depending on the circumstance.
May I have brainliest pleasER? :)
Joe is 3 years less than twice as old as Sara. The sum of the ages of Joe and Sara is 42. If x represents Sara's age,
Answer:
Sara or x=15, Joe=27
Step-by-step explanation:
Using J to represent Joe and S to represent Sara
J=2S-3
J+S=42 or J=42-S
Substitute for J:
42-S=2S-3
3S=45
S=15
J=2(15)-3 = 27
Anna is making a square pen for her rabbit to play in. Each
side of the pen is 9 feet long.
The formula for the area of a square is A = 52, where A
stands for the area and s is the length of one side.
What is the area of the pen?
A. 9 square feet
B. 36 square feet
C. 18 square feet
D. 81 square feet
Answer:
[tex]area \: A = {s}^{2} \\ = {9}^{2} \\ A \: = 81 \: square \: feet \\ or \\ A = 81 \: {ft}^{2} [/tex]
Liam bought 6 4/5 pounds of steak. He used 3 1/18 pound of stake for a cookout
Answer:
3.74
Step-by-step explanation:
bought can be as subtract
So...
6 4/5 - 3 1/18 = 3.74 THXS! (>-<)
CAN SOMEONE PLZ HELP
Answer:
C. 7*7*7*7*7
Step-by-step explanation:
7^5 is multiplying 7 5 times