Write the equation of the line that passes through (4, 2) and is parallel to the line y = 2x – 1.
Answers
Answer:
Step-by-step explanation:
We will look for a line that has the general form of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).
A line parallel to y=2x-1 will have the same slope, 2.
We can write y = 2x + b for the new line. We need to find b. We can use the given point in this equation and solve for b:
y = 2x + b
2 = 2(4) + b for (4,2)
2 = 8 + b
x = -6
The parallel line to y=2x-1 that goes through point (4,2) is:
y = 2x-6
See the attached graph.
Hi student, let me help you out! :)
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We are asked to write the equation of the line that passes through (4, 2) and is parallel to y=2x-1.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Parallel lines have the same slope.Since the slope of the given line is 2, the slope of the line parallel to this one is also 2.
Now, figure out the y-intercept, c:y=2x+c
We're given a point: (4, 2).Where: 2 is the y-coordinate of the point, and 4 is the x-coordinate.
Now, substitute 2 for y and 4 for x:
[tex]\longmapsto\sf{2=2(4)+c}[/tex]
Simplify!
[tex]\longmapsto\sf{2=8+c}[/tex]
Subtract 8 from both sides of the equal sign:
[tex]\longmapsto\sf{2-8=c}[/tex]
[tex]\longmapsto\sf{-6=c}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
Related Questions
Write the expression for the steps "12 increased by 4 and then double it." Then solve.
Answers
Double means to multiply by 2.
The expression:
(12+4)x2
To solve:
Solve brackets first
(16) x 2
= 32
Find the volume of the cone shown below. 20 16 12
Answers
Given: ABCD is a parallelogram. Prove: ∠A ≅ ∠C and ∠B ≅ ∠D Parallelogram A B C D is shown. By the definition of a ▱, AD∥BC and AB∥DC. Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transversal, ∠A and ∠B are same-side interior angles, so they are supplementary. Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠ .
Answers
A parallelogram is a quadrilateral with four sides. The opposite sides of the parallelogram are equal and parallel.
How to illustrate the parallelogram?The parallelogram is a quadrilateral with equal and parallel sides, such that the interior angles present on the same side of the transversal are supplementary.
The sum of supplementary angles is equal to 180-degrees. From the theorem of same-side interior angles, the supplementary angles present on the parallel lines must be intersected by a transversal.
From the property of transversal, the interior angles on the same side of the transversal are supplementary. Therefore, ∠A and ∠D are supplementary and their sum is equivalent to 180-degrees.
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Answer:
D Supplementary BC D
Step-by-step explanation:
did on edgu 2022 !!
Is LMN = OPQ? If so, name the congruence postulate that applies. N Given: LM = OP PQ = MN P M = 00 O A. Congruent - SAS O B. Congruent - SSS O C. Might not be congruent O D. Congruent - ASA
Answers
Based on the sides of LMN and OPQ, the congruence postulate that applies is B. Congruent - SSS.
When is the SSS rule used?It is used when the two triangles given have three equal corresponding sides which also have equal angles.
All three sides of LMN and OPQ are equal sides and have equal angles and so the SSS rule applies.
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what is the answer to the question 83%of 408
Answers
Answer:
338.64
Step-by-step explanation:
set up a proportion x/408=83/100 cross multiply you get 338.64
Answer: 338.64 is the Answer.
Step-by-step explanation:
83 x 408/100 (First do 83 x 408, then divide the answer by 100.)
= 338.64
can you go 24.3 miles with 15.3 gallons of gas
Answers
Answer:
yes you can go 24.3miles with 15.3 gallons of gas
Step-by-step explanation:
I need help on this. & I'll give brainlyest to anyone who can solve it for me. Thank's!!!!
Answers
Answer:
I can helpyou with that but im not sure with it
The vertex of a parabola is at the point (3,1), and its focus is at (3,5). What function does the graph represent?
A.
B.
C.
D.
Answers
When the vertex of a parabola is at the point (3,1), and its focus is at (3,5), the function that the graph represents will be y = 1/16 (x - 3)².
How to illustrate the parabola?From the information given, the vertex of a parabola is at the point (3,1), and its focus is at (3,5). The equation of the parabola will be:
(x - 3)² = 4a(y - 1)
The length is measured along x = 3. The final equation of the parabola will be:
(x - 3)² = 4 × 4(y - 1) = 16(y - 1)
Therefore, rearranging the equation will become:
y = 1/16 (x - 3)².
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Answer:
why would you ask question with no answer options an think to get the same right answer ?
Step-by-step explanation:
A group of 50 mothers were asked how many children they have. the
table shows the results.
number of children
number frequency
1
8
2
12
3
10
4.
14
5
6
what is the experimental probability of a mother having 1
child?
Answers
Answer:
4/25
Step-by-step explanation:
total no of children-15
total no of mothers-50
probability that a mother has i child
1/50
=8/50
=4/25
Answer:
0.16
Step-by-step explanation:
A group of 50 mothers were asked how many children they have. the
table shows the results.
number of children 1 2 3 4 5
number frequency 8 12 10 14 6
What is the experimental probability of a mother having 1
child?
Total number of mothers = 8 + 12 + 10 + 14 + 6 = 50
Number of mothers with 1 child = 8
p(1 child) = 8/50 = 0.16
determine the radius and center of the circle with the following equation
x^2+y^2-12x+24y-10=6
Answers
Answer:
Center: (6, -12)
Radius: 4
Step-by-step explanation:
Complete the squares
[tex]x^2+y^2-12x+24y-10=6\\\\x^2-12x-10+y^2+24y=6\\\\x^2-12x-10+46+y^2+24y+144=6+46+144\\\\(x^2-12x+36)+(y^2+24y+144)=196\\\\(x-6)^2+(y+12)^2=196[/tex]
Comparing with the standard form equation [tex](x-h)^2+(y-k)^2=r^2[/tex], since [tex]r^2=196[/tex], then the radius of the circle is [tex]r=14[/tex]. Also, the center of the circle would be [tex](h,k)\rightarrow(6,-12)[/tex].
Which is the graph of f(x)?
Answers
Answer: [tex]fx[/tex]
The slope is 0, and
the y-intercept is (0, 0)
[tex]\left[\begin{array}{ccc}x&y\\0&0\\1&0\end{array}\right][/tex]
In order to find the graph of "f(x)", we need to graph the line using the slope and y-intercept, or two points.
Does the table represent a function? Why or why not?
X Y
3 1
4 3
5 2
6 5
6 6
A. Yes, because every x-value corresponds to exactly one y-value.
B. Yes, because there are different y values.
C. No, because one x-value corresponds to two different y-values.
D. No, because the y values are positive.
Answers
The table does not represent a function because (c) No, because one x-value corresponds to two different y-values.
How to determine the true statement?The table of values is given as:
X Y
3 1
4 3
5 2
6 5
6 6
From the table of values, we have:
Y = 5 and 6 when X = 6
A table of values that is a function would have a y value of each x value
Hence, the table does not represent a function because one x-value corresponds to two different y-values.
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pls help me I can,t do this
Answers
Condense the expression to the logarithm of a single quantity.
Answers
Answer:
[tex]\log _3\left(\frac{x^{\frac{1}{2}}}{\left(y+8\right)^2}\right)[/tex]
Step-by-step explanation:
-> Apply log rules
[tex]\log _3\left(x^{\frac{1}{2}}\right)-2\log _3\left(y+8\right)[/tex]
->
[tex]\log _3\left(x^{\frac{1}{2}}\right)-\log _3\left(\left(y+8\right)^2\right)[/tex]
-> Apply basic math rules
[tex]\log _3\left(\frac{x^{\frac{1}{2}}}{\left(y+8\right)^2}\right)[/tex]
Liliana wants to write an equivalent expression for n + 3 minus 5 n + 6. Which of her attempts uses the algebraic properties correctly?
Answers
Answer:
n+3-(5n+6)=0
n+3-5n-6=0
5n-n=6-3
4n=3
4n/4=3/4
n=3/4
13 more than three times a number is less than or equal to 7 inequality
Answers
Answer:
x * 3 + 13 ≤ 7
Step-by-step explanation:
three times a number
x * 3
13 more than that
x * 3 + 13
less than or equal to 7
x * 3 + 13 ≤ 7
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Kayla drew a right triangle. Which could be the lengths of the triangle's sides?
A. 12 cm, 25 cm, 37 cm B. 9 cm, 16 cm, 25 cm
C. 8 cm, 14 cm, 17 cm D. 7 cm, 24 cm, 25 cm
Answers
Answer:
A triangle has side lengths 10 feet, V205 feet, and V105 feet
Step-by-step explanation:
the quotient of a number and three is four. what is the number
Answers
Answer:
12
Step-by-step explanation:
12/3=4
4*3=12
Hope this helps!
If not, I am sorry.
Answer:
12
Step-by-step explanation:
The quotient of a number and three is four. What is the number?
The word problem can be written as:
[tex]\sf{\dfrac{x}{3}=4}[/tex]
1. Multiply both sides by 3:
[tex]\sf{3\left(\dfrac{x}{3}\right)=4(3)}\\\\\implies x=12[/tex]
2. Check your work:
[tex]\sf{\dfrac{12}{3}=4}\\\\\implies 4=4 \ \checkmark[/tex]
Therefore, the number is 12.
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What is the value of angle C
Answers
Answer:
around 190
Step-by-step explanation:
X+8=-2
O A. x= 10
OB. x=-6
O C. x=6
OD. x= -10
Answers
D is the correct answer
X+8 = -2
x = -8 -2 = -10
Answer: option D
Step-by-step explanation:
X+8=-2
x= -2-8 (you should make x the subject so you switch the +8 to the other
x= -10 side which becomes -8)
so you get -10 because, if both the numbers have the minus sign then you should add the two values which will be a negative answer. So your answer is option D
Find the least common multiple of 35 and 21
Answers
Answer:
105
Multiples of 35:
35, 70, 105, 140, 175
Multiples of 21:
21, 42, 63, 84, 105, 126, 147
Answer:
105
Step-by-step explanation:
Given the following question:
We are given two numbers and we are trying to find the least common multiple (LCM) of the two. In order to find the LCM we have to find the GCM or the greatest common multiple.
[tex]35\div7=5[/tex]
[tex]21\div7=3[/tex]
[tex]GCM=7[/tex]
Now that we have the GCM we multiply 35, and 21 then divide it by the GCM.
[tex]35\times21=735[/tex]
[tex]735\div7=105[/tex]
[tex]LCM=105[/tex]
The least common multiple is "105."
Hope this helps.
please answer thank you!
Answers
Answer:
1. Median:70, Range:12, IQR: 8
2. Median: 59, Range: 48, IQR: 31
Step-by-step explanation:
Hello, the answers I have are just approximations because I can not tell the specific number in between each mark.
The median is the middle vertical line of the box. The range is you maximum subtracted from your minimum. You can find these at the lines that extend out of the box. The interquartile range is the ends of the box subtracted from each other, meaning quartile 3 subtracted from quartile 1.
Hope this helps.
What is the range of the function
Answers
Answer:
should be the first one -inf < y < inf
A. g(x) = 2(x3 + 4)
B. g(x) =
(x3 + 4)
C. g(x) = 2x3 + 4
D. g(x) =x3 + 4
Answers
Answer: C. [tex]g(x)=2x^3+4[/tex]
Step-by-step explanation:
When the coefficient gets larger, the graph will stretch more, getting closer to the y axis.
A hen lays 3 eggs every 5 minutes. How many eggs will the hen lay in 2 hours?
Answers
Answer:
72
Step-by-step explanation:
2 hrs = 120 min
120 min / 5 min = 24 times in 2 hrs
24 x 3 = 72 eggs in 2 hrs
Answer:
Step-by-step explanation:
3 eggs/5 minutes = x/120 minutes
5x = 360
x = 72 eggs in 2 hours
Corrine wrote temperatures in degrees Celsius and the equivalent temperatures in degrees Fahrenheit.
Equivalent Temperatures
Celsius
–10
5
10
20
Fahrenheit
14
41
50
68
Which explains how Corrine could determine if the temperatures vary directly?
Compare the equivalent temperatures as a ratio; if the ratios are equivalent, then the temperatures vary directly.
Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly.
Write an equation that converts one temperature to another; if the temperatures satisfy the equation, then they vary directly.
Look for a pattern in the table; if the pattern is consistent, then the temperatures vary directly.
Answers
Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly , Option B is the correct answer.
What is Direct Variation ?When a quantity of one variable is increased and the value of the other also increases then they are said to be in direct variation.
For the data to be in direct variation
Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly.
The points in any linear equation can only fluctuate directly, therefore all points will lie on the same line.
Option B is the correct answer.
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Answer:
ez b
Step-by-step explanation:
what’s a positive divided by a negative
Answers
Answer:
positive cuz positive is greater than negative
Please solve the question in the picture
Answers
Answer:
A. 11"
B. 39"
25 - 15 < x < 25 + 15
10 < x < 40
*x = whole number
Answer:
shortest: 11 incheslongest: 39 inchesStep-by-step explanation:
Given two side lengths for a triangle, the triangle inequality tells you the third side must have a length between the difference and the sum of the given sides.
__
A. minimum lengthThe difference of the given sides 25 and 15 is ...
25 -15 = 10
The smallest integer greater than 10 is 11.
The third side must be at least 11 inches long.
__
B. maximum lengthThe sum of the given sides is ...
25 +15 = 40
The largest integer smaller than 40 is 39.
The third side must be at most 39 inches long.
_____
Additional comment
Formally, the triangle inequality tells you that sides a, b, c must satisfy ...
a +b > c and b +c > a and c +a > b
When we're considering the length of third side (c), there are 3 cases to consider. 1) c is shortest; 2) c is between the other lengths; 3) c is longest. Without loss of generality, we can assume a > b.
1) c is shortest:
a+b>c is always true. b+c>a ⇒ c>a-b (the positive difference)c+a>b ⇒ c>b-a (the negative difference)conclusion: c > a-b
2) a > c > b:
a+b>c is always true. b+c>a ⇒ c>a-b (the positive difference) c+a>b ⇒ c>b-a (the negative difference)conclusion: c > a-b
3) c is longest:
a+b>c (the sum)b+c>a ⇒ c>a-b (the difference will be less than the sum)c+a>b ⇒ c>b-a (the negative difference will be less than the sum)conclusion: a -b < c < a+b . . . . . . for a>b
Lynn has scores of 95, 91, and 88 on three tests. Write and solve an equation to find
a fourth score that will produce an average of 90 for the four tests.
Answers
Answer:
86
Step-by-step explanation:
the equation that needs to be made is
(95+ 91+ 88+ x)/4 = 90
this means that the sum of 95, 91, 88, and x is 360.
95 plus 91 is 186. 186 plus 88 is 274
360-274 = 86
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hope this helps :)
Helen purchased 3 copies of a book online at a 20% discount. She also paid $10 for shipping that was not discounted. How much was the original price of one copy of the book if her total ended up being $40?
Answers
Answer:
The original price of the book was $12.50
Step-by-step explanation:
3x - 0.2(3x) + 10 = 40
30x - 2(3x) + 100 = 400
30x - 6x + 100 = 400
24x + 100 = 400
24x = 300
x = 12.50