Write the equation of the line that passes through (4, 2) and is parallel to the line y = 2x – 1.
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 :)
Please help! check attachment. This is grade 11 trigonometry
[tex]~~~~~~~\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}\\\\\\\implies \tan B = \dfrac{AC}{BC}\\\\\\\implies \tan 40^{\circ} = \dfrac{10}{a}\\\\\\\implies a = \dfrac{10}{\tan 40^{\circ}}\\\\\\\implies a= 11.9~ m[/tex]
__•__=42
__+__=23
Can someone help me solve this?
Answer:
21 * 2 = 42
21 + 2 = 23
Step-by-step explanation:
well I know that 6 * 7 = 42 so I’m assuming that’s correct
Then 11 + 12 = 23 it could be the answer I’m not positive for this one though.
The first one should be correct.
Maybe try
21 * 2 = 42
21 + 2 = 23
simplify the numerical expression- cant write it out so i'm using a pic
Answer:
-38
Step-by-step explanation:
4-(3^4-6^2)+2(3)÷2
=> 4 - (81-36) + 2(3) ÷ 2
=> 4 - 45 + 2(3)÷2
=> 4 - 45 + 6÷2
=> 4 - 45 + 3
=> -41 + 3
=> - 38
hope this helps :)
according to the graph,what is the value of the RANGE when the DOMAIN is 0
Answer:
it would be nice with a photo dude
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
#1 evaluates to 2
#2 evaluates to 0
#3 evaluates to 10
#4 evaluates to 6
code is HIEA
Please I need HELP!!!!!!
Answer:
I just need points I don't know your answer
Step-by-step explanation:
+)
Kirsten invested $1000 in an account at an annual-
interest rate of 3%. She made no deposits or
on the account for 5 years. The
withdrawals
interest was compounded annually. Find the
balance in the account, to the nearest cent, at the
end of 5 years.
Answer:
Kristen will have $1159.27 after 5 years
Step-by-step explanation:
trust in ya boy
Answer:
$ 1159.27
Step-by-step explanation:
1000 ( 1 + .03)^5 = 1159.27
Which answer choice has the set of numbers
ordered correctly from least to greatest?
16
13, √, 1.71, 9
3
√. 12, 16, 1.71
4
3
16
1.71, 12, 1
9
O
16.1.71,√, 12
3
9
Answer:
0
3
3
3
8
9
12,161.71√
I think his is the best order
Graph y = |x| + 2
Please help
For the function y = |x| + 2, it shows a vertical translation of the parent function up by 2 units.
Graph of modulus of functionsThe parent function for the graph of the modulus is given as g(x) = |x|
For the function y = |x| + 2, it shows a vertical translation of the parent function up by 2 units.
For the graph, there will be s shift down the graph by 2 units from the graph of the parent function as shown;
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Question Progress
10
Find the value of:
a) x² when x = 6
Answer:
x^2= 36
Step-by-step explanation:
since x = 6
therefore, x^2 = 6×6=36
What is the (LCM) of 5/6 and2/5
Answer:
30
Step-by-step explanation:
[tex]\frac{5\cdot\frac{6}{6} }{2\cdot\frac{6}{6} } = \frac{25}{30}, \frac{12}{30}[/tex]
Please Help I Don't Undertand.
If triangles AMN and ABC are similar, then
AM/AB = AN/AC
or
AM/(AM + MB) = AN/(AN + NC)
Check if this is true:
AM/AB = 21/(21 + 9) = 21/30 = 7/10
AN/AC = 14/(14 + 6) = 14/20 = 7/10
The angle at vertex A is common to both of the triangles.
Then by the side-angle-side (SAS) similarity theorem, the triangles are indeed similar.
Factor the algebraic expression.
18a+15
Answer: 3(6a+5)
We can confirm this by distributing the 3 back in
3*6a = 18a
3*5 = 15
So 3(6a+5) = 3*6a+3*5 = 18a+15
The process of factoring polynomials like this is basically using the distributive property in reverse.
Answer:
3(6a + 5)
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
1 - What is the largest number that divides evenly into 18a and 15?
It is 3.
2 - What is the highest degree of a that divides evenly into 18a and 15.
It is 1, since a s not in every term.
3 - Multiplying the results above,
The GCF is 3.
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
3 (18a/3 + 15/3)
3) Simplify each term in parentheses.
3(6a + 5)
Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee.
Answer:
it's 8
Step-by-step explanation:
the lil hand is on the 8 and the big hand is on the 12
Answer:
The time is 8:00 but with out a question im not sure what your asking
Step-by-step explanation:
what three consecutive odd integers have a sum of 64. show steps please
There are no such integers. Odd + odd = even, and adding odd to that makes it odd again. But 64 is even.
Put another way, let n be the smallest of the three integers. Then
n + (n + 2) + (n + 4) = 64
3n + 8 = 64
3n = 56
But 3 does not divide 56, so there is no integer solution for n.
what is 2 1/4 - 5 2/3
Answer:
-41/12 or -3 5/12
Step-by-step explanation:
4*2 +1 = 9, 5 * 3 + 2 = 17
9/4 - 17/3
27/12 - 68/12
= -41/12 or -3 5/12
2/3 b + 5 =20 - b solve for b
Answer:
b = 9
Step-by-step explanation:
[tex]\frac{2}{3} b + 5 = 20-b\\\frac{2}{3} b+5+b=20-b+b\\\frac{5}{3} b+5=20\\\frac{5}{3} b+5-5=20-5\\\frac{5}{3}b=15\\b= 15*\frac{3}{5} \\b= 9[/tex]
Answer:
[tex]b = 9[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} b + 5 = 20 - b[/tex]
In order to solve for b, we must isolate the variable. We can start by subtracting 5 from both sides.
[tex]\frac{2}{3} b + 5 - 5 = 20 - b - 5[/tex]
Simplify.
[tex]\frac{2}{3} b = 15 - b[/tex]
Add b to both sides.
[tex]\frac{2}{3} b + b = 15 - b + b[/tex]
Simplify.
[tex]\frac{2}{3} b + b = 15[/tex]
Multiply everything by 3 to remove the fractions.
[tex]3(\frac{2}{3}b+b) = 3(15)[/tex]
Simplify.
2b + 3b = 45
Simplify.
5b = 45
Divide 5 from both sides.
5b ÷ 5 = 45 ÷ 5
Simplify.
b = 9
For more information on solving variables, check out the following answers!
https://brainly.com/question/633344https://brainly.com/question/1267151https://brainly.com/question/4207498The band is raising money for their spring trip. they need to raise at
least $1500. earlier in the year, they made $575 on their annual fruit sale.
now they are selling donuts, where they will earn $5 profit for each box
of donuts they sell. which inequality could be used in order to
determine the number of boxes of donuts, d, they must sell in order to
meet their goal?
The inequality that can be used to determine the number of boxes of donuts, d, they must sell in order to meet their goal is $1500 ≥ $575 + $5d.
What is the inequality?Here are inequality signs and what they denote:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toTotal amount that needs to be raised ≥ amount made at the fruit sale + (profit per box x number of boxes)
$1500 ≥ $575 + $5d
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can i have help with this please
Answer:
B) 7r² - r -1
Step-by-step explanation:
(3r² + 7r + 1) + (4r² - 8r - 2)
1. Remove unnecessary parentheses
3r² + 7r + 1 + 4r² - 8r - 2
2. Combine like terms (ex: r and -2r, n and 4n)
7r² - r -1
Therefore, the correct answer is B.
Hope this helps!
Answer: Heyaa! ~
Your Answer is... 7r²− r −1, Which is B.
Step-by-step explanation:
Subtract the numbers, And then combine like terms,
Solution: 7r²− r −1
Hopefully this helps you! ^
jeanne barrons has decided to buy a new car. it has a base price of
$21,276.00, options totaling $1,219.80 and a destination charge of $590.00.
while surfing the internet, she learned that the dealer's cost is
approximately 83% of the base price and 80% of the price of the options.
what should barrons estimate as the dealer's cost? (section 9-2) *
o a. $19,224.92
b. $17,659.09
c. $17,500.25
d. $19,430.84
Answer:
a. $19,224.92
Step-by-step explanation:
The dealer's cost will be the sum of the dealer's costs for the base car, its options, and the destination charge.
__
cost for base car = 0.83 × $21,276 = $17,659.08
cost for options = 0.80 × $1,219.80 = $975.84
cost for destination charge = $590.00
The sum of the dealer's costs is ...
$17,659.08 +975.84 +590.00 = $19,224.92
Barrons should estimate the dealer's cost to be $19,224.92.
What is the range of the function y=3√x+8?
Answer:
The range will be (-∞,∞)
Step-by-step explanation:
Since there is no number that can make this function undefined or limited to a certain set of values, the range shall be infinite.
PLEASE HELP ME PICTURE BELOW!!!
Answer:
corographicia
Step-by-step explanation:
its the right answer
What is DE?
Enter your answer as a decimal in the box.
A jar of jelly beans has a mass of 1450kg.If the jars mass is 245g.What is the mass of jelly beans
Answer:
1449.755 kilograms
Step-by-step explanation:
245 grams is .245 kilograms meaning that in order to get the answer you would need to subtract 1450 by .245 which is 1449.755 which means that the mass of jelly beans would be 1449.755 kilograms
Which is the graph of f(x) = 2(3)x?
Answer:
Step-by-step explanation:
Please I need help asap
Answer:
Option D - x = 3 3/5
Step-by-step explanation:
Lets make the left side into an improper fraction :
2 2/5 = 12/5
Now let's make both fraction into equivalent ones but with the same denominator :
2/3 = 10/15
12/5 = 36/15
Now we substitute the equivalent values back into the equation :
10/15 × x = 36/15
Now we multiply both sides by 15 to remove the denominators:
10 × x = 36
Now we divide both sides by 10 and simplify :
x = 36/10
x = 18/5
x = 3 3/5
So our answer will be Option D
Hope this helped and brainliest please
The height of the oak tree is 2.5 meters. what is the height of the oak tree in
inches?
(1 ft. 0.305 m)
show your work!
Answer:
98.4 inches
Step-by-step explanation:
1 meter is about 3.28 ft, meaning the oak tree is 8.2ft tall. (2.5*3.28)
1 foot is 12 inches, meaning the oak tree is 98.4 in tall. (8.2*12)
The height of the oak tree = 98.42 inches.
Given that,
The height of the oak tree is 2.5 meters
We have to find height of tree in inches.
Since we know that,
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Since we know that,
1 meter = 39.37
Then to find the height of oak tree in inches
Multiply 2.5 with 39.37
Therefore,
The height of the oak tree in inches = 2.5 x 39.37
= 98.42 inches
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Using graphing, what is the approximate solution of this equation? 3xˆ2-6x-4 = -2/x+3 + 1 A. x = .64
B. x = .33
C. x = .18
D. x = 2.60
Answer: c
Step-by-step explanation:
The required values on the graph, the solution is approximate x = -0.33.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To solve this equation, we can begin by combining like terms on the left-hand side:
3x² - 6x - 4 - 2/x + 3 + 1 = 0
3x² - 6x - 2/x = -3
Next, we can factor out the x term:
x(3x - 2) - 2(3x - 2) = -3
(x - 2)(3x - 2) = -3
Since the equation is equal to -3, we can add 3 to both sides to get:
(x - 2)(3x - 2) + 3 = 0
We can then factor the left-hand side to get:
(x - 2)(3x - 2 + 3) = 0
(x - 2)(3x - 2 + 3) = (x - 2)(3x + 1) = 0
This equation has two solutions: x = 2 and x = -1/3.
Approximating these values on the graph, we see that the solution is approximate x = -0.33.
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At a basketball game, 45% of people attending were supporting the home team, while 55% were supporting the visiting team. If 1413 people attending the game supported the home team, what was the total number of people attending the game?
divide the number of people supporting the home team by the percentage supporting the home team.
1413/0.45 = 3140
total people = 3,140
The total number of people attending the basketball game was 3140.
Let's denote the total number of people attending the game as "T."
According to the information given, 45% of the people were supporting the home team. Therefore, the number of people supporting the home team can be calculated as 45% of the total number of people: 0.45 * T.
We are also told that 1413 people supported the home team. So, we can write the equation:
0.45 * T = 1413
Now, let's solve for the total number of people attending the game (T):
T = 1413 / 0.45
T = 3140
Therefore, the total number of people attending the basketball game was 3140.
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