Hello! Can someone please help me with this question ? I’ll mark brainly thanks ! :)
Answers
Answer:
[tex]\Large\boxed{\text{Perpendicular Equation:} \ y = -\frac{2}{7}x + \frac{22}{7}}[/tex]
[tex]\Large\boxed{\text{Parallel Equation:} \ y = \frac{7}{2}x -12}[/tex]
Step-by-step explanation:
In order to find the equations that are parallel/perpendicular to the line [tex]y = \frac{7}{2}x - 4[/tex], we need to note a couple things about the relationships between lines and their parallel/perpendicular lines.
A) If a line is perpendicular to another, the slopes will be opposite reciprocals (for instance [tex]-2[/tex] and [tex]\frac{1}{2}[/tex] - multiplied, they equal -1.)B) If a line is parallel to another, they will have the exact same slope.Perpendicular:We know that the slope of a perpendicular line will be the the opposite reciprocal of the line we're comparing it to.
Since the slope of our base line is [tex]\frac{7}{2}[/tex], we can find the reciprocal, then the opposite of that.
Reciprocal of [tex]\frac{7}{2} = \frac{2}{7}[/tex] Opposite of [tex]\frac{2}{7} = -\frac{2}{7}[/tex]So the slope of this line will be [tex]-\frac{2}{7}[/tex], making our equation [tex]y = -\frac{2}{7}x+ b[/tex]
However, y-intercepts will not stay the same. In order to find this, we can substitute the point (4, 2) into our equation to solve for b.
[tex]2 = -\frac{2}{7} \cdot 4 + b[/tex] [tex]2 = -\frac{8}{7} + b[/tex] [tex]b = 2+\frac{8}{7}[/tex] [tex]b = 2 \frac{8}{7}[/tex] [tex]b=\frac{22}{7}[/tex]Now we know the y-intercept of this equation is [tex]\frac{22}{7}[/tex]. We can now finish off our equation of the line by substituting that in to what we already have, [tex]y = -\frac{2}{7}x+ b[/tex].
[tex]y = -\frac{2}{7}x+ \frac{22}{7}[/tex]
Parallel:As mentioned earlier, parallel lines will have the exact same slope but not the same y-intercept. Since the slope of our original equation is [tex]\frac{7}{2}[/tex], the slope for this one will also be [tex]\frac{7}{2}[/tex].
So we now know the equation looks something like [tex]y = \frac{7}{2}x + b[/tex].
In order to solve for b, we apply the same logic we did in the perpendicular line and substitute in the point (4, 2) into the equation.
[tex]2 = \frac{7}{2} \cdot 4 + b[/tex] [tex]2 = \frac{28}{2}+b[/tex] [tex]2 = 14+b[/tex] [tex]b = 2-14[/tex] [tex]b =-12[/tex]Now that we know the slope and the y-intercept, we can finish off our equation as [tex]y = \frac{7}{2}x -12[/tex].
Hope this helped!
Related Questions
Given the table, how can you use a graph to find additional equivalent ratios? x y 2 3 4 6 Plot the ordered pairs (2, 3) and (4, 6). Start at (4, 6). Move right 3 and up 2, and then plot a point. Keep this same rate to get other points. Draw a line through the two given points. Any point below the line represents an equivalent ratio. Plot the ordered pairs (2, 4) and (3, 6). Start at (3, 6). Move right 2 and up 3, and then plot a point. Keep this same rate to get other points. Draw a line through the two given points. Any point on the line represents an equivalent ratio.
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Answer:
i know im late but i think the answer is A.
Step-by-step explanation:
im sorry if im wrong but its the most reasonable answer.
Answer:
A
Step-by-step explanation:
What is $27.00 in cents
Answers
Answer:
2700
cents
Step-by-step explanation:
wut anime do u guys watch comment down below and you'll get brainliest as well 2x2 just in case it would deleted i will also put math equations 2x3x4x5
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Order the sides of each triangle from shortest to longest.
Answers
Answer:
A.
Step-by-step explanation:
the line that's PR is longer than OR
Write an equation for the nth term of the following arithmetic sequence. 30, 26, 22, 18, . . . (WILL GIVE BRAINLEST)
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Plz help me I'm not sure
Answers
Which of the following functions is graphed below?
A. Y=[x] -7
B. y=[x] +7
C. y=[x] +5
D. y=[x] -5
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HELP WITH MATH PLSSSSSSSSSSSSS
Answers
Answer:
Undefined
Step-by-step explanation:
Whenever there's a perfectly straight vertical line, its classifies as undefined
helppppppppppppppppp again
Answers
Answer:
hola xD
como estas?
Step-by-step explanation:
x=30
six times five =x
please choose the correct answer due at 11:59
Answers
Graph b is the only one that crosses (1,30) (2,60) and (3,90)
Answer:
B
Step-by-step explanation:
if you line up the months (x) with the money (y) evrything lines up correctly whe you look at the points on the graph
hope this helps <3
If the following data were transformed, and points with the coordinates (x.log()) were plotted, what points would be plotted? Round log() to threedecimal places
Answers
Answer: It’s D
Step-by-step explanation:
PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 40 POINTS .
Answers
Answer:its 3/4th gallons
Step-by-step explanation:
Answer:
5 is the answer i believe
Step-by-step explanation:if you add the xs together you get 4 the 1/2 plus 1/2 half = 1 so add 4 plus 1 you get 5
What is the base for the follwing problem log100=2
Answers
How to solve and the answer
Answers
Answer:
x = 10; y = 10
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos( {theta} ) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan( {theta} ) = \frac{opposite}{adjacent} [/tex]
theta = 45°
opposite = x
hypotenuse = 10√2
adjacent = y
1) find x using sin formula[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(45) = \frac{x}{10 \sqrt{2} } [/tex]
[tex] \sin(45) \times 10 \sqrt{2} = x[/tex]
[tex]10 = x[/tex]
[tex]x = 10[/tex]
2) find y using cos formula[tex] \cos( {theta} ) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \cos(45) = \frac{y}{10 \sqrt{2} } [/tex]
[tex] \cos(45) \times 10 \sqrt{2} = y[/tex]
[tex]10 = y[/tex]
[tex]y = 10[/tex]
hereeee lol& thanks again<3!
Answers
Answer:
-1/2 is the slope. This means that the graph moves down one unit, and right 2 units (over and over again)
-1 is the y-intercept. This is where the line hits the y-axis
start by plotting the y-intercept (0,-1)
then move down one unit, and right two units, and plot another point.
this is the line y=-1/2x-1
Step-by-step explanation:
Step-by-step explanation:
hope it helps
............
Find the difference 0.2 - 0.05 =
Answers
Answer:
0.2-0.05=0.15
Step-by-step explanation:
0.2=0.20
0.20-0.05=0.15
The required difference between 0.2 and 0.05 is 0.15, which is determined by the subtraction operation.
To find the difference between 0.2 and 0.05, we subtract 0.05 from 0.2:
0.2 - 0.05 = 0.15
The difference between 0.2 and 0.05 is 0.15.
When subtracting decimals, we align the decimal points and subtract each place value. In this case, both numbers have one decimal place, so we subtract the tenth place.
Starting from the right, we have 0 in the tenth place of 0.2 and 0 in the tenth place of 0.05. Subtracting 0 from 0 gives us 0.
Therefore, the difference in the tenth place is 0.
Since there are no other place values to subtract, the resulting difference is 0.15.
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At Shop and Save Grocery Store, apples cost $3.59 a pound. If you buy 2.5 pounds, how much will it cost? Round your answer to the nearest cent.
Answers
Answer:
$8.98
Step-by-step explanation:
3.59+3.59+1.80
The mean and standard deviation of the sample data collected on continuous variable are -0.25 and 0.03, respectively. The following table shows the
relative frequencies of the data in the given intervals.
Interval
Relative Frequency
0.02
0.15
0.33
-0.34 < x < -0.31
-0.31 <<< -0.28
-0.28 << -0.25
-0.25 < 3 < -0.22
-0.22 <3 < -0.19
-0.19 <<< -0.16
0.36
0.11
0.03
Based on the table, do the data support the use of a normal model to approximate population characteristics?
A Yes, because the sum of the relative frequencies is 1.00.
B
Yes, because the distribution of relative frequencies is very close to the empirical rule for normal models.
с
No, because the values are negative and normal models are used for positive values.
D
No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
E
No, because the sample size and the population parameters are not known.
Answers
Answer:
B
Step-by-step explanation:
I know because I know that how
The correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
To determine if the data supports the use of a normal model to approximate population characteristics, we need to examine the relative frequencies and see if they exhibit a bell-shaped or normal distribution.
Looking at the table, we see that the relative frequencies are not symmetrical and do not follow the empirical rule for normal models.
The largest relative frequency is in the interval from -0.28 to -0.25, and the frequencies decrease as we move away from this interval. Additionally, there are negative values in the data, which is not a characteristic of normal models.
Therefore, the correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
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Need help finding x.
Answers
Answer:
Step-by-step explanation:
SOH CAH TOA to help remember how the trig functions fit on the triangle
use SOH since we know the angle and the hypotenuse and want to find the opposite side
Sin(x)= Opp/ Hyp
Hyp* sin(38) = Opp
12* 0.6156614753 = Opp
7.3879377...
7.4 is the answer
Which one of the following does not describe Aaron Burr?
made unwise decisions
was wanted for murder in two states
led the Senate
had a law practice
a brilliant politician
Answers
Answer:
Aaron Burr wasn't a brilliant politician.
Step-by-step explanation:
Aaron Burr was an American politician and the third Vice President of the United States from 1801 to 1805. In 1800, he ran for the Democratic-Republicans with Thomas Jefferson. Jefferson was supposed to be president and Burr vice president, but the then presidential election rules gave Jefferson and Burr equal votes in the Electoral College, and the election was ultimately decided in the House of Representatives. There, it were Jefferson and Burr's political rivals, the Federalists, who made the difference. Alexander Hamilton, the leader of the Federalists, eventually urged his party to back Jefferson, which helped make Hamilton and Burr deadly rivals. Burr had to settle for vice president under Jefferson.
On July 11, 1804, Burr challenged Hamilton to a duel in which Burr would fire the deadly shot. Burr was charged with murder in two states, but never prosecuted. After a short flight south, Burr returned to Washington to serve his term as vice president.
After his term, Burr was suspected of involvement in a plot to create a separate republic in the then Southwestern US, headed by himself. For this he was arrested in 1807. He was tried for treason but was acquitted. After a stay abroad, Burr returned to New York in 1812 and resumed his career as a lawyer. He died in 1836 at the age of eighty and was buried in Princeton, New Jersey.
 what number when added to 1 1/3 gives 2
Answers
Explanation
1/3+2/3= 3/3 which is 1
So that would change 1 1/3 to 1 3/3 which is the same as 2.
Write 5√4 using rational exponents.
Answers
Answer:
5(4)^1/2 is the correct answer
Step-by-step explanation:
hope this helps
9.(06.04 MC)
Find x value for the point that splits segment CD in half if point C is located at (-2, 4) and point D is located at (3, 7). (5 points)
5.5
05
O 0.5
03
Answers
Answer:
took the test and its 0.5
Step-by-step explanation:
.
Answer:
The correct answer is C) 0.5
Step-by-step explanation:
I took the test and this was correct!!
( 10 - 2n ) - ( 5n - 8)
Answers
Answer:
− 7n+18
Step-by-step explanation:
(10- 2n)- (5n- 8)
− 2n+10-5n+8
-7n+18
Please hurry, I have to turn this in Today. I’ll be posting more questions on it.
Answers
Answer:
24 cm square
Step-by-step explanation:
Formula: ab/2. ( a* b = leg * leg)
6*8/2. (formula)
48/2 (simplify)
24 cm square ( answer)
Accuracy not garunteed
BRAINLYEST
Answers
Answer:
:)
Step-by-step explanation:
i think it's MODE 21........
is 19, and 40 a prime or composite number
Answers
Answer:
19 is a prime number. 40 is a composite number
Step-by-step explanation:
40 can be divided by number other than 1 and its self
19 can only be divided by 1 and itself
Answer:
19 is composition 40 is prime number
Consider the graph of the linear equation 2x - 5y = 10.
x-intercept=
y-intercept =
slope=
Answers
Answer:
x-intercept= (5,0)
y-intercept= (0,-2)
Slope= 2/5
Step-by-step explanation:
which equation represents this graph?
Answers
Answer:
It would be the 1st answer, y= 3/2x + 2.
Step-by-step explanation:
The intersection on the Y axis determins the "+2". To find the slope, it is always x/y. It rises 3, and runs 2. Hope this helps
2) You have 4 Dragon Ball Z drawings and 5
Pokemon drawings. Your brother has the same
ratio of Dragon Ball Z to Pokemon drawings,
only he has 10 Dragon Ball Z drawings. How
many Pokemon drawing does he have? Show
your work. (Hint, you can have a fraction of a
drawing if it is part way done).
Answers
Answer:
4z:5p
4+5=9
10/9=1.11111...
1.11111*5=5.55555......or 50/9 or 5 5/9
Step-by-step explanation:
Answer:
guess what I don't know
Step-by-step explanation:
