Find the equation of a line that passes through the point (2,1) and has a gradient of 2. Leave your answer in the form ax + by = c where a,b and c are integers
Answers
Step-by-step explanation:
normally, if we have the gradient (or slope of inclination or change rate) and a point, we start using the point-slope form :
y - y1 = a(x - x1)
with (x1, y1) being a point on the line, and a being the slope of gradient (or ... however you want to call it).
y - 1 = 2(x - 2) = 2x - 4
y + 3 = 2x
2x - y = 3
Related Questions
How does Hamlet's view of death change throughout the play?.
Answers
Being afraid of the unknown prevents Hamlet from using death as a solution to end his difficulties.
Hamlet's perspective on death changes as he comes to terms with the fact that it is inevitable and he isn't sure he wants to experience it since death might not be preferable to life. Hamlet repeatedly longs for death to put an end to his suffering due to his sadness and agony, but he hesitates since death is forbidden in the Christian religion for fear of being sentenced to eternal torment in hell.We also learn that since another factor contributing to Hamlet's terrible demise was his inability to "do" rather than just "be." His speech, which is primarily about death, demonstrates his propensity to reflect rather than act.This is how Hamlet's view of death changes throughout the play.
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PLEASE HELPPP!!!
explain how you know!
Answers
Answer:
Negative
Step-by-step explanation:
-2.7+x=-3.5
x=-3.5+2.7
x=-0.8
Over what interval is the graph of y = -(x - 5)² - 3 decreasing?
Answers
Answer: (5,♾)
Step-by-step explanation:
Anywhere after the x coordinate of the vertex
y=-(x-5)^2-3
y=-(5-5)^2-3
y=0-3
y=-3
Anywhere after (5,-3)
Use synthetic division to solve
Answers
—————
r+3
41r+21
————
r+3
Hope this helps
How do you solve a multi-step equations with variables on both sides?
Answers
which statements could be an interpretation of the graph x intercept or y intercept
Answers
Answer:
If you attach the answers i can help you better
Step-by-step explanation:
Identify the highlighted part of circle O shown below
Central angle
Secant
Inscribed angle
Chord
Answers
Answer:
Chord
Step-by-step explanation:
Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.
The holcombe family went out to dinner the meal cost 54.65 the sales tax is 8 peecent the tip was 18 percent of the meal and tax there are 5 people in the holcomebe family what was the cost per person for the meal including sales tax and tip
Answers
Answer:
13.93
Step-by-step explanation:
Meal = 54.65
Sales tax = 8%
= 8/100 * 54.65 + 54.65
= 0.08 * 54.65 + 54.65
= 4.372 + 54.65
= 59.022
Tip = 18% of the meal and tax
= 18/100 * 59.022 + 59.022
= 0.18 * 59.022 + 59.022
= 10.62396 + 59.022
= 69.64596
Total people in the holcomebe family = 5
Cost of meal per person =
69.64596 / 5
= 13.929192
Approximately 13.93
please answer my Questions I have Summative Assessment math
Answers
Answer:
a. Yes
b. 3x+7
c. 105 cm
Step-by-step explanation:
a. a(1)+b=10
a(2)+b=13
when you solve this by elimination or simultaneously: a=3 and b=7
∴ f(x)=3x+7
b. f(x)=3x+7
c. 3(35)+7=112 cm
HELP APPRECIATED
WILL GIVE BRAINLIEST:))
Answers
Answer:
2 1/2= 2 3/6
7 1/6 + 2 3/6 = 9 4/6= 9 2/3
hope this helps!
Please give the brainliest
Step-by-step explanation:
find the yy -component of vector a⃗ a→ = (5.0 m/s2m/s2 , −y−y -direction).
Answers
The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.
Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s² Answer: 0 m/s².
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The yy-component of vector a⃗ a→ is -y-direction.
Explanation:The yy-component of a vector represents the magnitude of the vector in the y-direction.
In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).
Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.
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32+4+10 Write the process and how you were able to find the anser. PLEASE HELP!!!! WILL MARK BRAINLIEST
Answers
Answer:
46
Count up.
32, 33, 34, 35, 36.
So 32 + 4 = 36
No go from there:
36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46
So 36 + 10 = 46
Your answer is 46
Answer:
46
Step-by-step explanation:
32+4+10=
Add 32 and 4 together to get 36.
36+10=
Add 36 and 10 together to get 46.
46
what is the correlation
Answers
Answer: moderate, C, B
Step-by-step explanation:
A) A shows a moderate negative correlation. It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation. It is also negative because it has a negative slope
B) C shows the strongest correlation because the points around the line are tight and close.
C) B should not have been drawn. The correlation is very weak. You do know where the line should be because the points are all over the place.
Triangle ABC was rotated clockwise about the origin
What is the degree of rotation to get to A"B"C"?
С
A
A
B
A
o degrees
90 degrees
180 degrees
270 degrees
Answers
Answer:
180 degrees
Step-by-step explanation:
if it was to be 270 degrees the the image should be formed opposite to triangle A'B'C'
If it was to be 360 degrees the image should be back to original triangle and if it was 90 degrees the triangle should be triangle A'B'C'
what is the slope of this equation, v=3x+60
Answers
In y=mx+b, the number before x (or m) is the slope.
Answer:
slope=3
Step-by-step explanation:
O if you had to explain why finding the leat common denominator i important in working with factor what would it be
Answers
The term least common denominator (LCD) is used when referring to the denominators in fractions.
The smallest common denominator shared by two or more fractions is referred to as the least common denominator (LCD).
They are the same when the common denominator also happens to be the smallest common denominator. The least common denominator will always be smaller than the common denominator if this is not the case.
There are numerators and denominators in fractions. The fraction's top and bottom halves are called the numerator and denominator, respectively.
A common denominator is a denominator that is shared by two or more fractions. They all require common denominators before two or more fractions may be added together or subtracted.
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In rectangle PLAN, PT = x + 3 and TL = 3x - 11. What are the lengths of PA and NL?
Answers
Answer:
PA = 20 units
NL = 20 units
Step-by-step explanation:
Property of a rectangle,
"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"
By using this property,
PT = TL
(x + 3) = (3x - 11)
3x - x = 11 + 3
2x = 14
x = 7
Length of PT = (x + 3) = 10
Length pf PA = 2(PT) = 20 units
Length of NL = PA = 20 units
Bart has these quiz scores: 78, 76, 74, 80, 82, 78, 82, 75, 77, 82. Bart tells his parents that his typical score is an 82. Which measure of central tendency did Bart use to describe his typical score? ANSWER QUICKLY!!!!!
Answers
Answer:i cant help im sorry
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
Remember, we always want to draw our image first. Figure 26. Line TV with midpoint U. Segment lengths has been appropriately labeled. Since we know is the midpoint, we can say Answer substituting in our values for each we get: Answer Solve for We now want to solve for . Answer Answer Solve for , , and This is just the first part of our question. Now we need to find , , and . Lets start with and . We know that so let’s substitute that in. Answer Answer We will do the same for . From our knowledge of midpoint, we know that should equal , however let’s do the math just to confirm. We know that so let’s substitute that in. Answer Answer Using the segment addition postulate we know: Answer
Answers
The blanks in each statement about the line segment should be completed as shown below.
How to fill in the blanks about the line segment?Since we know U is the midpoint, we can say TU=8x + 11 substituting in our values for each we get:
8x + 11 = 12x - 1
Solve for x
We now want to solve for x.
−4x+11=−1
−4x = -12
x= 3
Solve for TU, UV, and TV
This is just the first part of our question. Now we need to find TU, UV, and TV. Lets start with TU and UV.
TU=8x+11 We know that x=3 so let’s substitute that in.
TU=8(3)+11
TU= 35
We will do the same for UV. From our knowledge of midpoint, we know that TU should equal UV, however let’s do the math just to confirm.
UV=12x−1 We know that x=3 so let’s substitute that in.
UV=12(3)−1
UV= 35
Based on the segment addition postulate, we have:
TU+UV=TV
35+35=TV
TV= 70
Find the detailed calculations below;
TU = UV
8x + 11 = 12x - 1
8x + 11 - 11 = 12x - 1 - 11
8x = 12x - 12
8x - 12x = 12x - 12 - 12x
-4x = -12
x = 3
By using the substitution method to substitute the value of x into the expression for TU, we have:
TU = 8x + 11
TU = 8(3) + 11
TU = 24 + 11
TU = 35
By applying the transitive property of equality, we have:
UV = TU and TU = 15, then UV = 35
By applying the segment addition postulate, we have:
TV = TU + UV
TV = 35 + 35
TV = 70
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If x=3 and y=4,which expression below has the largest value?
A.
\( {x}y^{2}\)
B.
\(x {}^{2} y\)
C.
\( {x}^{2} + {y}^{2} \)
D.
\( {x}^{2} - {y}^{2} \)
Answers
========================================================
Explanation:
Let's plug x = 3 and y = 4 into the expression for choice A.
\(xy^2 = 3*4^2 = 3*16 = 48\)
Then repeat for the expression in choice B
\(x^2y = 3^2*4 = 9*4 = 36\)
So far, the result for choice A is larger.
Now let's check choice C
\(x^2+y^2 = 3^2+4^2 = 9+16 = 25\)
Choice A is still the largest
and lastly choice D
\(x^2-y^2 = 3^2-4^2 = 9-16 = -7\)
---------------------
The summary of values we got were
A = 48B = 36C = 25D = -7Choice A is the largest, while choice D is the smallest.
Identify what kind of angle with the given measure are the following;
1.) 47°
2.) 160°
3.) 89°
4.) 10°
5.) 91°
Answers
1. acute
2. obtuse
3. acute
4. acute
5. obtuse
obtuse is above 90 degrees, acute is below 90 degrees and right is 90 degrees
What are two ways to show the mixed number: 4 and two-tenths?
Answers
the two different forms of mixed numbers can be represented are \(4 \frac{2}{10}\) and 42/10.
What is mixed fraction?
A mixed fraction is a fraction that is created by fusing a whole number with a fraction. A mixed fraction is a fraction that is created by fusing a whole number with a fraction. A mixed fraction is a form of fraction that consists of both a whole number part and a fractional part. A mixed fraction would be, for instance, 3 1/10. It is also known as a mixed number.
the mixed number: 4 and two-tenths
= \(4 \frac{2}{10}\)
this can also be written as 4*10 +2
= 42/10
Hence the two different forms of mixed numbers can be represented are \(4 \frac{2}{10}\) and 42/10.
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Han and Clare are stuffing envelopes. Han can stuff 20 envelopes in one minute, and Clare can stuff 10 envelopes in one minute. They start working together on a pile of 1,000 envelopes. How long does it take them to finish the pile?
Answers
Answer:
it will take them 33 minutes and 20 seconds
Step-by-step explanation:
What we have here is that Han can stuff 20 envelopes in a minute while Clare can do 10 in a minute
So in a minute, they can jointly stuff 30 envelopes.
Mathematically we know that the number of time it will take to finish stuffing would be number of envelopes/ joint rate = 1000/30 envelopes per minute
So it will take 33 1/3 minutes
1/3 of a minute is same as 1/3 * 60 seconds = 20 seconds
So it will take them 33 minutes and 20 seconds
there are two important properties of probabilities. 1) individual probabilities will always have values between and . 2) the sum of the probabilities of all individual outcomes must equal to .
Answers
1.) Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.
2.) The sum of probabilities of all possible outcomes is equal to 1.
1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.
A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.
Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.
2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.
Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.
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Larry ran 4/5 of the way around the track before slowing down to a walk. What percent of the track did he run? *
Answers
Answer:
80%
Step-by-step explanation:
4 divided by 5 = 0.8
0.8 x 100 = 80%
The percentage Larry ran around the track = 80%
He ran 4/5 of the way around the track before slowing down for a walk.
This means he ran 4 parts of the whole 5 parts of the track. He walks the remaining 1 part around the track.
Therefore, the percentage he ran can be calculated below
% he ran the track = 4 / 5 of 100
% he ran the track = 4 / 5 × 100 = 400 / 5 = 80%
The percentage he ran around the track = 80%
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Please help out on the math problem it’s due today.
Answers
Answer:
a
Step-by-step explanation:
Subtract (3x +5y-4)-(4x+11)
Answers
Answer:
-x + 5y + 7
-This should be the answer
Gilligan sees a ship coming close to the shore hes standing on.
Answers
i think part a is: yes because both triangles are right angles. it would be postulate SAS
not sure for part b
Rewrite sin (tan⁻¹(x)) as an algebraic expression in x.Explain your steps.
Answers
The algebraic expression for the trigonometric expression sin (tan⁻¹ (x)) is given by x/(√(1 + x²)).
Given the trigonometric expression is,
sin (tan⁻¹ (x))
Let y = tan⁻¹ (x)
tan y = x
tan² y = x²
sec² y - 1 = x²
sec² y = 1 + x²
cos² y = 1/(1 + x²)
1 - sin²y = 1/(1 + x²)
sin² y = 1 - 1/(1 + x²) = (1 + x² - 1)/(1 + x²) = x²/(1 + x²).
sin y = x/(√(1 + x²))
y = sin⁻¹ [x/(√(1 + x²))]
So, now the trigonometric expression becomes
sin (tan⁻¹ (x)) = sin y = sin {sin⁻¹ [x/(√(1 + x²))]} = x/(√(1 + x²)).
Hence, the algebraic expression for the trigonometric expression sin (tan⁻¹ (x)) is given by x/(√(1 + x²)).
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! the lengths of the sides of a triangle are 8, 8, and 3. what is the measure of the smallest angle in the triangle?
and how did we find it ?
Answers
The measure of the smallest angle in the triangle is 10.8°
What is an isosceles triangle?An isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length.
The corresponding angles of the two equal lengths in an isosceles triangle are equal. This means that if we represent the two angles by x and the the third angle by y , then 2x+y = 180.
using cosine rule c² = a²+b²+2abcosC
a = 8, b = 8 and c = 3
3² = 8²+8²+2×8×8cos C
9 = 64+64+128cos C
128cosC = 9- 128
cos C = -119/128
cos C = -0.93
C = cos^-1 0.93
C = 158.4°
therefore 158.4 + A+ B = 180
A= B
2A = 180-158.4
2A = 21.6
A = 21.6/2
A = 10.8°
therefore A = B = 10.8°. This means the value of the smallest angle is 10.8°
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