What is the slope of a line that is perpendicular to the
line shown on the graph?
5
4
4 3
2
1
54 -3 -2 -11
1 2 3 4 5 X
4
-2
1-3
-4
25
Answers
Answer:
The slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
Step-by-step explanation:
From the line equation, let us take two points
(0, 2)(4, 1)Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)[/tex]
[tex]m=\frac{1-2}{4-0}[/tex]
[tex]m=-\frac{1}{4}[/tex]
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be:
[tex]-\frac{1}{-\frac{1}{4}}=4[/tex]
Thus, the slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
Related Questions
HELP PLZ THIS I NEED TO KNOW THIS
Answers
Which of the following is an arithmetic sequence?
A.
3, 9, 81, 6561, …
B.
4, 1, −2, −5, …
C.
2, −2, 2, −2, …
D.
4, 1, 4, 7, …
Answers
Answer:
D
Step-by-step explanation:
Answer:
It's the B
Step-by-step explanation:
The arithmetic sequence here is made by subtracting 3 every time
Hope this helps, have a good day
Help asap please!! I will mark you as brainliest :)
Answers
Answer:
52
Step-by-step explanation:
bro imma be honest with you the way i figured this out doesnt even make sense so im not even gonna try and explain ths lol
4 bags for two batches so for one batch it’s 2 bags and for 26 batches you multiply that by 2 so you get 52
If 24 = 118, what is the measure of each of the other
angles?
Answers
Answer:
Step-by-step explanation:
Lines l and m are the parallel lines and line n is a transversal intersecting parallel lines.
Since, m∠2 = m∠4 = 118° [Given]
m∠2 = m∠6 = 118° [Corresponding angles]
m∠4 = m∠8 = 118° [Corresponding angles]
m∠1 + m∠2 = 180° [Linear pair of angles]
m∠1 = 180° - 118° = 62°
m∠1 = m∠5 = 62° [Corresponding angles]
m∠3 = m∠1 = 62° [Corresponding angles]
m∠7 = m∠5 = 62° [Corresponding angles]
on a beautiful day there are 65 cars in the beach parking lot 26 more cars park in the parking lot before noon but 17 car slept how many cars are in the beach parking lot
Answers
Answer:
a
Step-by-step explanation:
Which ordered pairs are solutions to the inequality 3x-4y>5
Answers
Note: you did not provide the answer options, so I am, in general, solving this query to solve your concept, which anyways would clear your concept.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the inequality
[tex]3x-4y>5[/tex]
All we need is to find any random value of 'x' and then solve the inequality.
For example, putting x=3
[tex]3\left(3\right)-4y>5[/tex]
[tex]9-4y>5[/tex]
[tex]-4y>-4[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-4y\right)\left(-1\right)<\left(-4\right)\left(-1\right)[/tex]
[tex]4y<4[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]\frac{4y}{4}<\frac{4}{4}[/tex]
[tex]y<1[/tex]
So, at x = 3, the calculation shows that the value of y must be less
than 1 i.e. y<1 in order to be the solution.
Let us take the random y value that is less than 1.
As y=0.9 < 1
so putting y=0.9 in the inequality
[tex]3\left(3\right)-4\left(0.9\right)[/tex]
[tex]=9-3.6[/tex]
[tex]=5.4[/tex]
As 5.4 > 5Means at x=3, and y=0.9, the inequality is satisfied.
Thus, (3, 0.9) is one of the many ordered pairs solutions to the inequality 3x-4y>5.
the cylindrical part of an architectural column has a height of 305 cm and a diameter of 30 cm find the volume of the cylindrical part of the column.use 3.14 for pi and round youre answer to the nearest cubic centimete if needed.
Answers
Radius(r)= 25 cm = 25/100= 0.25 m
[1 cm = 1/100m]
Height (h)= 3.5 m
Curved surface area of Cylinder= 2πrh
= 2× (22/7) × 0.25 × 3.5
= 2× 22× 0.25 × 0.5
= 2× 0.5 ×22× 0.25
= 1 ×22× 0.25
= 5.5 m²
Curved surface area of 1 Cylindrical column= 5.5 m²
Curved surface area of 10 Cylindrical column= 5.5 × 10= 55 m²
Rate for painting 1 m² of the cylindrical column = ₹ 15.50
Cost of painting 10 cylindrical columns= 55 × 15.50 = ₹ 852.5.
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Step-by-step explanation:
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Answers
Answer:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Given the expression
√ 25 –2√3 + √27 +2√ 9
as
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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A file that is 261 megabytes is being downloaded. If the download is 18.7% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth
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1/2
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Answer:
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Step-by-step explanation:
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