The Slope of lines parallel to line is 1/2 and the Slope of lines perpendicular to line is -2.
What is the equation of a straight line ?An equation that can be written in the form of y = mx+c
where m is the slope of the line
and c is the intercept on y axis
The equation given in the question is
y=1/2x−7
in this the slope = 1/2
Intercept = -7
For parallel Lines
For a parallel line , the slope of the line is same
and is given by m = 1/2
For a perpendicular line
Slope will be equal to
-1/m
here -1/m = -2
Therefore the slope for perpendicular line is -2.
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Find The volume of the triangular prism is
Answer:, Volume of triangular prism = (1/2) bh × L.
Identify the clusters in the data.
The clusters in the data is the cluster with the most circles together in the middle and this can be found at two point which are red dot (clusters) between 3.5-5 and 10 - 11.5 in the y axis.
What are clusters in a data set?A data cluster is known to be a kind of subpopulation of a bigger dataset where each data point are known to very close to the cluster center than to other cluster centers as seen in a the dataset.
Therefore, one can say that The clusters in the data is the cluster with the most circles together in the middle and this can be found at two point which are red dot (clusters) between 3.5-5 and 10 - 11.5 in the y axis.
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If x is a positive integer, then x is _____ negative.
a. never
b. sometimes
c. always
The number of tvs sold increased from 70 to 98. work out the percentage increase.
Triangle ABC is a right triangle. The length of one of the legs is 12 centimeters, and the length of the hypotenuse is 20 centimeters. What is the length of the other leg?
Answer: 16 centimeters
Step-by-step explanation:
We will use the Pythagorean theorem to solve. The c variable is the hypotenuse, the a and b variables are the legs.
a² + b² = c²
12² + b² = 20²
144 + b² = 400
b² = 256
b = [tex]\sqrt{256}[/tex]
b = 16
The length of the other leg is 16 centimeters.
Answer:
The other leg is 16 cm long.
Explanation:
Use the Pythagorean theorem:
[tex]c^2=a^2+b^2[/tex],
where:
[tex]c[/tex] is the hypotenuse, and [tex]a[/tex] and [tex]b[/tex] are the other two sides (legs).
Let [tex]a=12[/tex] [tex]cm[/tex]
Rearrange the equation to isolate [tex]b^2[/tex]. Plug in the values for [tex]a[/tex] and [tex]c[/tex], and solve.
[tex]b^2=c^2-a^2[/tex]
[tex]b2=(20 cm)^2-(12 cm)^2[/tex]
Simplify.
[tex]b^2=400 cm^2-144cm^2[/tex]
[tex]b^2=256 cm^2[/tex]
Take the square root of both sides.
[tex]b=\sqrt{256cm^2}[/tex]
Simplify.
[tex]b=16[/tex] [tex]cm[/tex]
A rectangular shop in the mall is 10 meters long and 6 meters wide. what is its area?
Step-by-step explanation:
the area of a rectangle is
length × width
I am sure you discussed and learned this in class, otherwise you would not get such a problem to solve.
it is a really simple thing : just multiply the 2 numbers.
the area of the shop is
10 × 6 = 60 m²
the really important thing is not to forget that the result is not measured in meters, as this is no longer just a 1- dimensional length. since we multiplied two meter lengths, it is measured in square meters, which are squares of 1 meter side length, and we say how many such squares fit into the area.
Based on your experience, the probability of you scoring a goal in a hockey game is 33.3%. How many goals would you likely score in 12 games?
You would likely score 4 goals in 12 games
How to determine the number of goals?The given parameters are:
Probability, p =33.3%Total number of goals = 12The expected number of goals is calculated as:
E(x) = p * Total
This gives
E(x) = 33.3% * 12
Evaluate
E(x) = 4
Hence, you would likely score 4 goals in 12 games
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Find the value of z if the volume of the cylinder is 1696.5m^3 use 3.14 for pi and round your answer to the nearest whole number.
Answer:
6 m
Step-by-step explanation:
The missing dimension can be found using the volume formula with the known values filled in. This gives an equation that can be solved for z.
The volume of a cylinder is given by the formula ...
V = πr²h
__
Using the given values, we have ...
1696.5 m³ = 3.14(z²)(15 m)
z² = (1696.5 m³)/(47.1 m) ≈ 36.0191 m² . . . . divide by 47.1 m
Taking the square root, we find z to be ...
z ≈ √(36.0191 m²) ≈ 6.00 m
The value of z is about 6 m.
Create a set of five lengths so that:
• Each length is different.
• Each length is a whole number (in inches).
• Each length is shorter than a piece of paper (`11` in.).
• No matter which three you choose, you will never be able to make a triangle.
Explain how you know that your set of lengths meet all the requirements.
Answer:
1, 2, 3, 7, 10
Step-by-step explanation:
1. The area of a rectangular carpet is X² + X - 2. HINT: Area = length X breadth
a). if X is a whole number, use factorization to find the length and the breadth of the carpet in terms of X.
b). if X = 2 m, find the actual dimensions of the carpet.
c). it costs R50 per square metre to make such this carpet. how much will it cost to manufacture 5 carpets?
Hi, I'm in 7th grade and I'm about to fail Mathematics. Please help me...
1. 16
2. 2, 21
3. 2
4. 42
Hope that helps!
okay now that i know i have 31 kids left in my basement let's say instead of auctioning them off let's say that i sell the rest of them for $1000 each on the black market how much money would i make?
wait what how did you get that many
Step-by-step explanation:
Answer: 100000000000
Step-by-step explanation:
black market loves childern
What is ((x^(2 )y^(3))^((1)/(3)))/(\root(3)(x^(2)y)) in exponential form?
The exponential form when [x²y³)^(¹/₃)]/[∛x²y] is simplified gives us; [x^(²/₃) * y]/[x^(²/₃) * y^(¹/₃)]
How to simplify exponents?The power of a digit defines a base number raised to the exponent, where base number is the factor which is multiplied by itself while exponent denotes the number of times the same base number is multiplied.
We want to simplify the exponents; [x²y³)^(¹/₃)]/[∛x²y]
Using rule of exponents, we have;
[x^(²/₃) * y]/[x^(²/₃) * y^(¹/₃)]
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Priya is comparing two functions: (x) = 10 . y? and g(x) = 3 - 2* to find out which
one has greater output values as x gets very large.
She notices that f(1) = 10 and f(2) = 40. However, g(1) = 6 and g(2) = 12. She
concludes that as x continues to grow, the values of f will be greater than the values
of g.
Explain why priyas conclusion is incorrect
Answer:
help me to find Xian pleaseee:( i miss him so much:(
sorry for answering Non sense po i hope u understand me ty po!
37-(y-19)=2y this is a problom from rsm
Answer:
y = 56/3
Step-by-step explanation:
Distribute:
37 - (y - 19) = 2y
37 - y + 19 = 2y
Add the numbers:
37 - y + 19 = 2y
56 - y = 2y
Rearrange the terms:
56 - y = 2y
-y + 56 = 2y
Solution:
y = 56/3
Select the correct answer.
The graph of the equation y= 3x + 1 is shown below.
y
+x
-8
to
7
-2
8
6
+2+
+
-6-
-8-
2
6
Co
The graph is reflected across the y-axis, then the equation of the new graph will be y = 3⁻ˣ + 1.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The graph of the equation y = 3ˣ + 1 is shown below.
If the graph is reflected across the y-axis, then the equation of the new graph will be
y = 3⁻ˣ + 1
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5. in a maths test , Archie got1/5 of the questions wrong.
a What was Archie's percentage score?
b. Explain why it is not possible to work out his actual score.
Answer:
Step-by-step explanation:
a) Out of 5, 1 only one is wrong. So number of questions answered correctly is (4/5)
To find the percentage, multiply (4/5) by 100
[tex]\sf \dfrac{4}{5}*100 = 4* 20 = 80 \%[/tex]
b) It is not possible to find the actual score because we don't know how many questions were there actually and the score for each question.
Answer:
jajajjajaja
Step-by-step explanation:
sdfgsdfgsdfg
Congruent or not congruent
I NEED A.S.A.P PLEASE I WILL GIVE BRAINLIEST
Simplify: 5.9 (9 - 5) + 4^3 + 3.86 A. 63.06 B. 72.83 C. 91.46 D. 98.32
Answer:
C. 91.46
Step-by-step explanation:
Use BODMAS!
Answer:
C. 91.46
Step-by-step explanation:
Using Pemdas to solve:
5.9 (9 - 5) + 4^3 + 3.86
First you have to solve in the parenthesis
5.9 (9 - 5) + 4^3 + 3.86
= 4
New equation:
5.9 x 4 + 4^3 + 3.86
Now solve the exponent:
5.9 x 4 + 4^3 + 3.86
= 64
New equation:
5.9 x 4 + 64 + 3.86
Now we have to do multiplication:
5.9 x 4 + 64 + 3.86
= 23.6
New equation:
23.6 + 64 + 3.86
Now all you have to do is add all that together and you have your answer:
23.6 + 64 + 3.86
= 91.46
Hope this helps.
What is the value of x in the equation?
Answer:
What is the value of x in the equation?
Step-by-step explanation:
Graph the System of Inequalities:
y> 4x-3
y≤-½x + 5
Answer: I attached the graph.
Step-by-step explanation:
An unusual number cube (with 6 sides) has the numbers 2, 2, 4, 4, 6, and 6 on its faces.
It is rolled once.
Match the outcome to its probability.
Answer:
1. P(2 or 4) - 2/3
2. P(multiple of 2) - 1
3. P(multiple of 3) - 1/3
4. P(odd prime numbers) - 0
Step-by-step explanation:
Good luck lol
P(2 or 4) = 2/3
P( multiple of 2) = 1
P( multiple of 3) = 1/3
P(odd prime numbers) = 0
What is probability?
Probability is the likelihood of an event happening or not.
Analysis:
possible outcome = (2,2,4,4,6,6) = 6
P(2 or 4)
n( 2) = required outcome = (2,2) = 2
P(2) = 2/6 = 1/3
n(4) = (4,4) = 2
P(4) = 2/6 = 1/3
P(2 or 4) = 1/3 + 1/3 = 2/3
n( multiple of 2) = (2,2,4,4,6,6) = 6
P( multiple of 2) = 6/6 = 1
n(multiple of 3) = (6,6) = 2
P(multiple of 3) = 2/6 = 1/3
P(odd prime numbers) = 0
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If ∠PLA and ∠ELA are complementary, ∠PLA = 5x – 2, and ∠ELA = x + 8, what is the measure of ∠PLE?
Answer:
ELA
Step-by-step explanation:
you add ela to a bonus points
Answer:
PLA + ELA = 90
Step-by-step explanation:
lol
this is literally the easiest question, but for some reason I keep getting it wrong...
Answer:
Hi the correct answer will be C, E, and F.
Step-by-step explanation:
Why C? 23 is greater than 16
Why E? 23 is greater than or equal to 16. Remember here says "or"
Why F? 23 is not equal to 16.
Answer all of these for brainliest?
Answer:
always, always, never, always, always
Step-by-step explanation: brainliest?
hello, please help FAST!!!
Harry and Gwen ride in a bicycle race. Harry clocks 102.62 meters per minute, and Gwen clocks 101.94 meters per minute. What is the difference in their cycling speeds?
best answer will get brainliest
Answer:
0.68 meters per minute
Step-by-step explanation:
102.62 - 101.94 = 0.68, so Harry is 0.68 meters per minute faster than Gwen.
Answer:
0.68 m/min.
Step-by-step explanation:
Given :
⇒ Harry's speed = 102.62 m/min.
⇒ Gwen's speed = 101.94 m/min.
===============================================================
Solving :
⇒ Difference = Harry's speed - Gwen's speed
⇒ Difference = 102.62 - 101.94
⇒ Difference = 0.68 m/min.
Sarah is attempting to find the height of a tree by using a mirror. By the laws of physics she knows that the angle of incidence is congruent to the angle of reflection (these are marked in red on the diagram). Explain why the two triangles are similar and if she knows her height and the distance from the mirror to her feet and also the distance from the mirror to the tree how could she calculate the height of the tree?
The two triangles are similar as the angle of incidence is equal to the angle of reflection because the light ray selects the shortest path to reach the destination.
What s an angle of reflection?The angle of reflection is the angle between a reflected ray and the normal drawn at the point of incidence to a reflecting surface.
When light is reflected from a surface, then the angle of incidence is always equal to the angle of reflection, where the angles are measured from the path of the light to the normal to the surface at the point at which light strikes the surface. Therefore, the angle of incidence is congruent to the angle of reflection.
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Find the value of 6a+5b when a = 4.2 and b = -1.9
Answer:
the answer is -5.3 hopes this helps
Step-by-step explanation:
6a+5b=?
6(4.2)+5(-1.9)=?
6(4.2)= 25.2
5(-1.9)= -9.5
4.2 - 9.5= -5.3
The value of the expression (6a + 5b) when a = 4.2 and b = -1.9 will be 15.7.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given as,
⇒ 6a + 5b
The value of the expression at a= 4.2 and b = - 1.9 is calculated as,
⇒ 6 x 4.2 + 5 x (-1.9)
⇒ 15.7
The value of the expression (6a + 5b) when a = 4.2 and b = -1.9 will be 15.7.
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which of the following is NOT a solution of the inequality?
y[tex]\leq[/tex] - 1?
a) -3
b) -1
c) -6
d)0
Answer: d) 0
Step-by-step explanation:
With the inequality given, y ≤ -1, solutions are -1 and all numbers less than -1. We will check all the options to see which is not a solution.
a) -3 ✓
-> This is not our answer. -3 is less than -1.
b) -1 ✓
-> This is not our answer. -1 is equal to -1.
c) -6 ✓
-> This is not our answer. -6 is less than -1.
d) 0 ✗
-> This is our answer! 0 is not less than -1.
Answer:
The answer is d
When graphing a sine curve model using the equation y = sine b x, the period (or wavelength) will be represented by startfraction 2 pi over b endfraction, so b = startfraction 2 pi over period endfraction. determine the equation for the sine curve that models the g
The equation of the sine curve is y = sin(7.59x)
How to determine the sine function?The complete question is added as an attachment.
The sine function is given as:
y = sin(bx)
And the value of b is given as:
b = 2π/T
Where T = 0.828
Substitute T = 0.828 in b = 2π/T
b = 2π/0.828
Evaluate
b = 7.59
Substitute b = 7.59 in y = sin(bx)
y = sin(7.59x)
Hence, the equation of the sine curve is y = sin(7.59x)
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