What is the equation of the line that is perpendicular to the line y = 2x + 5 and
passes through the point (-4, 2)?
Answers
Answer:
y = -1/2x
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 2x + 5. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.
Plug this value (-1/2) into your standard point-slope equation of y = mx + b.
y = -1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, 2). Plug in the x and y values into the x and y of the standard equation.
2 = -1/2(-4) + b
To find b, multiply the slope and the input of x (-4)
2 = 2 + b
Now, subtract 2 from both sides to isolate b.
0 = b
Plug this into your standard equation.
y = -1/2x + 0 or y = -1/2x
This equation is perpendicular to your given equation (y = 2x + 5) and contains point (-4, 2)
Hope this helps!
Related Questions
which choice is equivalent to the expression below when x > 0?
√50x³ - √25x³ + 5√x³ - √2x³
A. 4√x
B. 28√x³³
C. 5√2x
D. 4x√2x
Answers
Answer:
D
Step-by-step explanation:
5[tex]\sqrt{2x^3}[/tex] -5[tex]\sqrt{x^3}[/tex] + 5√x³ -√2x³ = 4[tex]\sqrt{2x^3}[/tex] = 4x√2x
Find the real solution(s) of the following equation.
98 =
= 729
Choose all answers that apply:
A
8= 7
B
8= -7
8=9
D
8= -9
None of the above
Answers
Answer:
a=9
Step-by-step explanation:
a^3 = 729
Taking the cube root of each side
a^3 ^(1/3) = 729^ (1/3)
a = 9
I NEED HELP
THERE ARE TWO OTHER QUESTIONS AS WELL
Answers
Answer:
Please find attached the drawing of ABCD, A'B'C'D', and A''B''C''D'', created with MS Excel
Step-by-step explanation:
The given composition of transformation is [tex]r_{y-axis} \ \circ \ r_{x = - 4}[/tex]
The transformation on the right, [tex]r_{x = - 4}[/tex], is carried out first as follows;
The point A with coordinate (-7, 7) reflected across the line x = -4, gives;
A(-7, 7) [tex]r_{x = - 4}[/tex] → A'(-1, 7)
Similarly, we have;
B(-5, 7) [tex]r_{x = - 4}[/tex] → B'(-3, 7)
C(-5, 1) [tex]r_{x = - 4}[/tex] → C'(-3, 1)
D(-7, 1) [tex]r_{x = - 4}[/tex] → D'(-1, 1)
Therefore, the image of the given rectangle after reflection across the lie, x = -4, is A'(-1, 7), B'(-3, 7), C'(-3, 1), and D'(-1, 1)
The second transformation, [tex]r_{y-axis}[/tex], is found as follows;
(x, y) [tex]r_{y-axis}[/tex] → (x, -y)
Therefore, we have;
A'(-1, 7) [tex]r_{y-axis}[/tex] → A''(-1, -7)
B'(-3, 7) [tex]r_{y-axis}[/tex] → B''(-3, -7)
C'(-3, 1) [tex]r_{y-axis}[/tex] → C''(-3, -1)
D'(-1, 1) [tex]r_{y-axis}[/tex] → D''(-1, -1)
The points ABCD, A'B'C'D', and A''B''C''D'' are plotted on MS Excel and the points joined with straight lines to form the drawing of the triangles as shown in the attached figure.
The scatter plot below shows the relationship between years of education and income for a representative sample of adults.
Which of the following is the best estimate of the average change in a person's income that is associated with going to school for an additional year?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
$
1
$1dollar sign, 1
(Choice B)
B
$
2
$2dollar sign, 2
(Choice C)
C
$
3000
$3000dollar sign, 3000
(Choice D)
D
$
7000
$7000dollar sign, 7000
2
2
4
4
6
6
8
8
10
10
12
12
14
14
16
16
18
18
20
20
22
22
24
24
20000
20000
40000
40000
60000
60000
80000
80000Annual income (dollars)Years of education
Answers
Answer:
A
Step-by-step explanation:
khan
which of the following is a tinomial
Answers
Good luck.
what is the answer the / is division/divided? t+d/8-6
Answers
Answer:
t+d/2
Step-by-step explanation:
A pair of parallel lines is cut by a transversal: 15 degrees and 80 degrees are the lines What is the measure of angle x?
60 degrees
65 degrees
70 degrees
80 degrees
Answers
Step-by-step explanation:
=80°-15°=65°please mark this answer as brainlist
Find the area of a parallelogram with a base of 9m and a height of 5
Answers
Answer:
A=45m²
Step-by-step explanation:
A=bh=9·5=45m²
Graph
y = 3x^2.
Please thanks
Answers
Answer:
The image of the graph is below.
Step-by-step explanation:
What is the greatest counting number that divides 17, 25 and 41 and leaves the same remainder in each case?
Answers
The greatest counting number that divides 17, 25 and 41 and leaves the same remainder in each case is 8
PLEASE HELP 25 MINUTES LEFT
38
Marlene wrote an arithmetic sequence where al
=
8 and the common difference is -3.
What is a rule for the nth term of this sequence?
Answers
Answer:
D
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = - 3 , then
[tex]a_{n}[/tex] = 8 - 3(n - 1) = 8 - 3n + 3 = - 3n + 11 → D
Suppose that 65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks, 38% end up investing in bonds, and 36% end up investing in both stocks and bonds. What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?
Answers
Answer:
0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).
Step-by-step explanation:
This question is solved treating these probabilities as Venn events.
I am going to say that:
Event A: Person invests in stocks.
Event B: Person invests in bonds.
65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks
This means that [tex]P(A) = 0.65[/tex]
38% end up investing in bonds
This means that [tex]P(B) = 0.38[/tex]
36% end up investing in both stocks and bonds.
This means that [tex]P(A \cap B) = 0.36[/tex]
What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?
This is [tex]P(A \cup B)[/tex], given by the following equation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Considering the values we have for this problem:
[tex]P(A \cup B) = 0.65 + 0.38 - 0.36 = 0.67[/tex]
0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).
Green Forest Park’s walking trail is 3.218 km. long. Blue Lake Park's walking trail is 2.414 km. long. How much longer is Green Forest Park’s trail than Blue Lake Park’s trail? GIVING 20 POINTS
Answers
Answer:
0.804
Step-by-step explanation:
Subtract 3.218 by 2.414
If A = 2m + 1 and B 2m2 - 1 + 8m, find an expression that
equals 3 A + B in standard form.
Please help
Answers
Answer:
2m² + 14m + 2
Step-by-step explanation:
3A + B
= 3(2m + 1) + 2m² - 1 + 8m ← distribute parenthesis by 3
= 6m + 3 + 2m² - 1 + 8m ← collect like terms
= 2m² + 14m + 2 ← in standard form
10 Adoya deposited sh 4000 for 2 years in a bank which paid 122% p.a. simple interest. What interest did he get after two years?
Answers
Find the length of y. Assume the triangles are similar.\
A. 3.6
B. 3.2
C. 3.9
D. 3.4
Answers
6,3:y=4,2:2,4
y=3,6
Chọn a
a student takes a rectangular piece of paper 30 cm long and 21 cm wide find the area of the biggest circle that can be cut out from the paper also find the area of the paper left after cutting out the circle
Answers
Answer:
Step-by-step explanation:
diameter of the circle=smallest of the length and width=21 cm
r=21/2
area of the circle=πr²=22/7 ×(21/2)²=(21×441)/(7×4)=1323/4=330.75 cm²
Find the slope of the line that passes through (7, 2) and (9, 9).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
the slope is m=7/2
Step-by-step explanation:
Answer:
7/2
Step-by-step explanation:
What is the numerical Absolute values of -16
Answers
Answer:
16
Step-by-step explanation:
The absolute value always gives a positive value , that is
| - a | = | a | = a , then
| - 16 | = | 16 | = 16
6. An integer Pis two thirds of another and their difference is 10. Find the two integers. an integer p is 2/3 of another and their difference is 10 find the two integers
Answers
Answer:
20, 30
Step-by-step explanation:
let the intergers be x and y
x = 2/3y
from this eqn, we know that y is larger.
hence, y-x=10
y-2/3y=10
1/3y=10
y=30
x=2/3y =2/3(30) = 20
Unit Rates
Assignment Active
Completing a Rate Table
Miles
Hours
Margie can walk 3.5 miles in 1 hour.
Find the values of a, b, c, and that complete the table
showing this relationship
3.5
a=
7
v
a
5
3
d=
14
e
5
Answers
Answer:
its c
Step-by-step explanation:
i did it on ed
Answer:
Heres the answer!
Step-by-step explanation:
I need help PLZ thanks for your help
Image below
Answers
Answer:
3x - 14 = x + 30
[ Opposite angles of a ||gm are equal ]
=> 3x - x = 30+14
=> 2x = 44
=> x = 22
Therefore , option 4 is correct
hope that helps ✌
find the value of 2 raise the power negative 6
Answers
Answer:
1 /64
Step-by-step explanation:
2^-6
We know that a^-b = 1/a^b
1 / 2^6
1/64
HELP ASAP LIKE PLEASE
Answers
Answer: (3b+2)(b+2)
Step-by-step explanation:
Create a triangle ABC of your choice. Using GeoGebra tools, construct the angle bisectors of ∠A and ∠B. Mark the intersection point of the angle bisectors, and label it point D.
Create a line through point D perpendicular to .
Find the intersection of line segment and the perpendicular line, and label it point E. With point D as the center, create a circle passing through point E.
Measure and label the radius of the inscribed circle of ΔABC on the diagram.
Take a screenshot of your result, and paste it below.
Answers
The steps to create attached screenshot of the inscribed circle of triangle ΔABC using GeoGebra tools includes;
1) Clicking on the Geometry link, under Powerful Math Apps group
2) On the opened Geometry page click on the Polygon icon and follow the instructions that come up, which is Select all vertices and then the first vertex (selected) again (a second time)
3) Once the triangle is created, select the Angle Bisector icon, under the Construct group; A message will appear, asking to Select three points or two lines, select three vertex, of the triangle created with a mouse click, with the vertex A in the center, such as BAC, or CAB a straight line representing the angle bisector of angle ∠A is created
4) Repeat the above to create the angle bisector of angle ∠B
5) Click on the Point button under the Basic Tools group, then click on the intersection of the two angle bisectors created above, the point will be automatically labelled point D
6) Click on the Perpendicular Line, icon under the Construct group, then click on point D, and then the line AB to draw the perpendicular from D to AB
7) Click on the point Point icon and then the intersection point of the perpendicular from D and AB to label the point E
8) Click on the Circle with Center basic tool and then points D and E above, to create the inscribed circle of triangle ΔABC
9) Select the Segment tool, then select the center of the circle and a point
on the circumference. Click on the label, from the pop up options, select
the label option AA then change the label of the segment created to Radius
and select Show Label and Show Value. The inscribed circle of ΔABC created with GeoGebra tools is attached
Learn more about GeoGebra hear;
https://brainly.com/question/10400398
Answer:
Step-by-step explanation: from edmentum
Nuclear Power is a perfect example of exponential relations. Canada produces over half of its electricity using nuclear reactors. One of the major problems associated with nuclear power generation is the radioactive waste. Currently all nuclear waste is stored on site at the power plant and there is no solution for the long term waste.
A) What would you do with the long term waste?
B) How would you take care of Canada’s energy needs for the future?
Answers
Nuclear waste is a long term waste and is a major problem the world is facing regarding its disposal.
Answer :
Nuclear fission is exponential. This is known as chain reaction and a number of uranium atoms are fission together to increase exponentially.
Canada, for example produces electricity using the process of fission process in its nuclear reactors.
The nuclear waste includes :
used reactor fuel, uranium mill tailings and other radioactive wastes.These wastes remain radioactive and are dangerous for the human health.
A).
The long term nuclear waste are stored in deep excavations and covered with rocks and mud. They are also stored in some high density and thick cylinders and remained isolated in the dump yard from the people and nature.B).
Most of the energy requirement of Canada can be taken care off by using wind energy. Canada is planning to set up wind energy mills in most of its part and generate electricity from it.Canada has also installed several solar power projects which is clean and can help the people to use this solar energy to produce electricity.Learn More :
https://brainly.com/question/1013815
When 4x + 4x + 1 = 33 is solved, the result is:
Answers
Answer:
x = 4
Step-by-step explanation:
1. 8x+1 = 33 and the 4x together
2. 8x = 32 subtract 1 from each side
3. x = 4 Divide both sides by 8
Answer:
x=4
Step-by-step explanation:
4x+4x+1=33
Combine like (similar) terms:
8x+1=33
Rearrange terms to solve for x:
8x=33-1
8x=32
[tex]\frac{8x}{8} =\frac{32}{8}[/tex]
x=4
Therefore, x=4.
The length of a rectangle is 2 Inches less than three times its width, and its perimeter is 36 Inches. Find the width of the
rectangle
Answers
Answer: Width = 5 inches
Concept:
Here, we need to know the idea of the perimeter.
A perimeter is a path that encompasses/surrounds/outlines a shape.
Perimeter of rectangle = 2 (w + l)
w = width
l = length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
w = w
l = 3w - 2
P = 36 inches
Given formula
P = 2 (w + l)
Substitute the value into the formula
36 = 2 (w + 3w - 2)
Simplify values in the parentheses
36 = 2 (4w -2)
Divide 2 on both sides
36 / 2 = 2 (4w - 2) / 2
18 = 4w - 2
Add 2 on both sides
18 + 2 = 4w - 2 + 2
20 = 4w
Divide 4 on both sides
20 / 4 = 4w / 4
w = 5
Hope this helps!! :)
Please let me know if you have any questions
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
2 questions
Answers
Answer:
Confidence Interval - "P" values
(0.4433 , 0.5444 )
~~~~~~~~~~~~~~~~~~~~~~~
[tex]\mathrm{Expand\:}\left(x+4y\right)^3:\quad x^3+12x^2y+48xy^2+64y^3[/tex]
in you image it is the last on "D"
Step-by-step explanation:
Confidence Level - "P" values
99% 2.58
Confidence Interval - "P" values
(0.4433 , 0.5444 )
PLz, Help fast! 100 points
A line is drawn on a scatter plot, as shown below:
A graph shows values till 10 on both x- and y axis with increments of 1.Dots are shown at 0.5, 7.5 and 1.8, 6.5 and 3, 6 and 4.4, 5 and 4.8, 4 and 5.9, 3.2 and 6.6, 2 and 7.5, 2.5 and 8, 1 and 8.8, 0. A straight line joins the ordered pairs 0, 7.9 and 10, 0.
Which statement best describes the line?
Answers
Answer:
It can be the line of best fit because it closely fits the data points.
Step-by-step explanation:
The line is near the data points and goes down from left to right just like the data points. It is just above or just below the data points.
Answer:
guy above is right
Step-by-step explanation:
