Graph a line that contains the point ( 3 , -6) and has a slope of 1/2
Answers
1/2x - 7.5Step-by-step explanation:The image below shows proof that the equation y = 1/2x - 7.5
Step-by-step explanation:
The equation of the line contains the point ( 3 , -6) graph is shown below.
Since the point (3, -6) lies on the line, we can use the point-slope form of linear equations to find the equation of the line, which is:
[tex]y - y_1 = m(x - x_1)[/tex]
where [tex](x_1, y_1)[/tex] is the point on the line and m is the slope of the line.
Substituting in (3, -6) and m = 1/2, we get:
y - (-6) = 1/2(x - 3)
y + 6 = 1/2x - 3/2
y = 1/2x - 3/2 - 6
y = 1/2x - 9/2
To graph the line, we can start by plotting the point (3, -6). Then, we can use the slope to find another point on the line.
Since the slope is 1/2, it means that for every 1 unit we move up, we must also move 2 units to the right.
Therefore, we can move 2 units to the right and 1 unit up from (3, -6) to find the point (5, -5). We can then plot this point and connect the two points with a line.
Here is a graph of the line that contains the point (3, -6) and has a slope of 1/2:
The graph shows that the line passes through the point (3, -6) and has a positive slope.
For similar question on graph
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Related Questions
Help with mathematics
Answers
Answer:
no
Step-by-step explanation:
because
Answer:
vertical line: x = 1
horizontal line = y = -2
Step-by-step explanation:
It's easy, really. A vertical line will always have x in the equation, and a horizontal line will always have y. Then, you find what it's equal to by looking at the point's x and y values and it corresponds to the answer.
Miguel will study for the quiz on which he is likely to do worse by guessing.
Which quiz should he study for?
A. History, because he must get more questions correct.
B. Science, because the probability of getting all questions correct is
0.016, which is lower than for history (0.031).
C. History, because the probability of getting all questions correct is
0.031, which is lower than for science (0.75).
D. Science, because the probability of getting all questions correct is
0.075, which is lower than for history (0.25).
Answers
Answer:
B: Science
Step-by-step explanation:
The reason B is correct is because 0.016 is lower than all the other possibility. A has no math to compare, but the others do, making it easier to determine the correct answer.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Answer:c
Step-by-step explanation:
Determine the intercepts of the line
Answers
Y(0;2)
you must always put the value of "x" and then that of "y"
Evaluate 5+ (-11) - (-11)
Answers
Answer:
5
Step-by-step explanation:
To solve a problem with negatives, we use the following rule.
If it is like
x+(-y), it is equivalent to x-y
If the equation is like
(-x)-(-y), it is equivalent to (-x)+y
So,
5+(-11)=5-11=-6
(-6)-(-11)=(-6)+11=5
Your answer is 5.
Four fifths of 30 students finished the test early .How may students finished the test early?
Answers
Answer:
24
Step-by-step explanation:
count by sixes. Good luck
Answer:
24
Step-by-step explanation:
(4/5)*30=24
4/5=.8
(.8)*30=24
Fido weighs 26 pounds more than Fifi. Fifi weighs 12 pounds less than Rover. If the sum of their weights is 71, how much does Fifi weigh?
Answers
By setting up a system of linear equations using the given relationships and solving for Fifi's weight, we find that Fifi weighs 11 pounds.
Explanation:The question involves solving a system of linear equations to find the weight of Fifi. We are given three pieces of information:
Fido weighs 26 pounds more than Fifi.Fifi weighs 12 pounds less than Rover.The sum of their weights is 71 pounds.Let's denote Fifi's weight as F, Rover's weight as R, and Fido's weight as D. Based on the information provided, we can write the following equations:
D = F + 26F = R - 12F + R + D = 71To find Fifi's weight, we need to substitute the first two equations into the third one:
Substitute D from equation (1) into equation (3): F + R + (F + 26) = 71Substitute R from equation (2) into the new equation: F + (F + 12) + (F + 26) = 71Combine like terms: 3F + 38 = 71Now, solve for F:
3F = 71 - 383F = 33F = 11Therefore, Fifi weighs 11 pounds.
Find the mean, median, mode and range of 13, 18, 13, 14, 13, 16, 14, 21, 13
Answers
Answer:
Mean -
15
Median -
14
Mode -
13
Range -
8
Hope this helps!
Which of the following is a statistical question?
A. How many books did Matt read?
B. How many jars are kept on the shelf?
C. How many pieces of candy does Rachel have?
D. How many runs did the baseball team score in each game this season?
Answers
Answer:
D
Step-by-step explanation:
It is asking overall
What percent is equivalent to the fraction 4/5?
Answers
Answer:
80/100 or 80%
Step-by-step explanation:
In the diagram below, XY and YZ are tangent to O. What is the measure of XZ?
Answers
The measure of arc xz is 106 degrees.
What is Major and Minor Arc ?A small arc is one with a measure of fewer than 180 degrees. A major arc is one with a measure greater than 180 degrees. A semicircle is an arc that divides a circle in half and has a measure of 180 degrees.
An arc is a continuous segment of a circle. There are two sections, one of which is larger than the other. The major arc is the larger one, and the minor arc is the smaller one.
Given:
From diagram, m ∠xz = 254 degrees.
We know that whole circle = 360 degrees
So, measure of arc XZ = 360 - 254
= 106
Hence, the measure of arc xz is 106 degrees.
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help me plz and thank you!!!!
Answers
Answer: A is the answer
Step-by-step explanation:
true or false if two triangles have three pairs of congruent sides, then the triangles are not guarnteed to be congruent
Answers
Answer:
False
Step-by-step explanation:
Because when you have pairs of congruent shapes, then you have a guaranteed to be congruent.
Answer:
it is true on quiz 7.1.2 exam sem 1
Step-by-step explanation:
5 red flowers 10 yellow 75 total how many red
Answers
Answer
25 are red
Step-by-step explanation:
red I blue
5 I 10
10 I 20
15 I 30
20 I 40
25 I 50
Which is equivalent to (3/125)*?
answer : a 1251/3x
Answers
Answer:
1/50
Step-by-step explanation:
if (one) yard is equal to 3 (three) feet, convert 7 yards to feet
Answers
Answer:
21 feet
Step-by-step explanation:
7*3=21
I wish you luck :)
Mrs. Smith has 4 pounds of cat food. Her son gave her 5 more pounds. She feeds her cats 3/4 of a pound per day. How many days will Mrs. Smith be able to feed her cats with the cat food she has now? Group of answer choices 27 days 15 days 12 days 9 days
Answers
Answer:
12 days
Step-by-step explanation:
So 4 + 5 is 9. Then you divide 9 by 0.75 since that is equivalent to 3/4 and get 12.
Find the perimeter of the square
With one side 2 1/2 yards
Answers
Answer:
12
Step-by-step explanation:
2.5*4=12
if each side of a square is the same length then yes my answer is correct
Final answer:
To find the perimeter of the square with a side length of [tex]2\frac{1}{2}[/tex] yards, the side length is converted to a decimal and multiplied by 4, resulting in a perimeter of 10 yards.
Explanation:
The student's question is about finding the perimeter of a square when given the length of one side, which is [tex]2\frac{1}{2}[/tex] yards.
Since a square has four equal sides, the perimeter (P) of a square is calculated by multiplying the length of one side (s) by 4, which can be expressed as P = 4s.
In this case, if we convert [tex]2\frac{1}{2}[/tex] yards to a decimal, we get 2.5 yards.
Therefore, the perimeter of the square is 4 × 2.5 yards, which equals 10 yards.
What is the slope of the line shown below?
Answers
Answer:
3, you can count the points, up 3 over one
please help these are my last of points
Answers
The Correct answer would be B
I hope this was helpful :P
STAY SAFE!! :)
Which function is equivalent to f(x) = -4(x + 7)2 – 6?
A. f(x) = -4x2 – 56x - 202
B. f(x) = -4x2 + 14x + 43
C. f(x) = --4x2 - 56x - 172
D. f(x) = -4x2 + 190
Answers
Answer:
A
Step-by-step explanation:
Given
f(x) = - 4(x + 7)² - 6 ← expand factor using FOIL
= - 4(x² + 14x + 49) - 6 ← distribute parenthesis by - 4
= - 4x² - 56x - 196 - 6 ← collect like terms
= - 4x² - 56x - 202 → A
The equivalent function is [tex]f(x)=-4x^{2} -56x-202[/tex]
Option A is correct.
Equivalent function :The given function is,
[tex]f(x)=-4(x+7)^{2}-6[/tex]
We have to expand above function.
[tex]f(x)=-4(x+7)^{2}-6\\\\f(x)=-4(x^{2} +14x+49)-6\\\\f(x)=-4x^{2} -56x-196-6\\\\f(x)=-4x^{2} -56x-202[/tex]
Thus, the equivalent function is [tex]f(x)=-4x^{2} -56x-202[/tex]
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The graph shows point F located at (0, 6) and line d given by the equation y = 0.
Drag each coordinate pair into a box to show whether that point is equidistant or not equidistant from point F and line d, or if equal distance cannot be determined.
Answers
Answer:
equidistant from point F and line d: (0, 3); (6, 6) and (-6, 6)
not equidistant from point F and line d: (3, 0); (3, 5) and (-2, 2)
Step-by-step explanation:
Point (0, 3)
Distance from point (0, 6) = 3
Distance from line d = 3
Point (6, 6)
Distance from point (0, 6) = 6
Distance from line d = 6
Point (3, 0)
Distance from point (0, 6) = √[(3 - 0)² + (0 - 6)²] = √45
Distance from line d = 0
Point (3, 5)
Distance from point (0, 6) = √[(3 - 0)² + (5 - 6)²] = √10
Distance from line d = 5
Point (-2, 2)
Distance from point (0, 6) = √[(-2 - 0)² + (2 - 6)²] = √20
Distance from line d = 2
Point (-6, 6)
Distance from point (0, 6) = 6
Distance from line d = 6
The total cost C (in dollars) to rent a 14-foot by 20-foot canopy for d days is given
by the function C(d) = 15d + 30, where the setup fee is $30 and the charge per
day is $15. The setup fee increases by $20. The new total cost T is given by the
function T(d) = C(d) + 20. Describe the transformation from the graph of C to
the graph of T.
Answers
hi i think its 2 because 15 times 2 is 30
The graph of a linear function C(d) will shift 20 units left side if the total cost C (in dollars) to rent a 14-foot by 20-foot canopy for d days is function C(d) = 15d + 30.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The total cost C (in dollars) to rent a 14-foot by 20-foot canopy for d days is given by the function:
C(d) = 15d + 30
The charge per day is $15. The setup fee increases by $20.
The new total cost T is given by the function
T(d) = C(d) + 20
Plug C(d) = 15d + 30 in the above function:
T(d) = 15d + 30 + 20
T(d) = 15d + 50
The graph of a linear function C(d) will shift 20 units left side.
Thus, the graph of a linear function C(d) will shift 20 units left side if the total cost C (in dollars) to rent a 14-foot by 20-foot canopy for d days is function C(d) = 15d + 30.
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Which of the following is a solution of y> |x| - 5?
(4,-1)
(-1,-4)
(-4, 1)
Answers
Answer:
(-4,1)
Step-by-step explanation:
Let us check the choices.
y > |x| - 5
- 1 > |4| - 5 = -1 NO (4,-1);
-4 > |-1| - 5 = -4 NO not(-1,-4)
1 > |-4| - 5 = -1 TRUE, yes (-4,1)
True or False: If a pair of lines is not parallel, it must be perpendicular.
Answers
Answer:
False
Step-by-step explanation:
Parallel lines are lines that never intersect. If the line changes slightly, the lines will intersect. This doesn't mean that it's perpendicular
Perpendicular lines are lines that intersect in such a way that the lines form 90 degree angles.
The statement is false. Non-parallel lines are not necessarily perpendicular; they can intersect at any angle other than right angles.
The statement 'If a pair of lines is not parallel, it must be perpendicular' is False. Not all non-parallel lines are perpendicular. Perpendicular lines are a specific case of non-parallel lines where they meet at right angles (90 degrees). Non-parallel lines that are not perpendicular to each other may intersect at any other angle, which could be acute or obtuse but not 90 degrees.
Theorem 10 supports this by stating that 'If two lines cut a third at the same angle, that is, so that corresponding angles are equal, a line can be drawn that is perpendicular to both'. Theorem 14 also relates as it informs 'If a line is perpendicular to two intersecting lines at their intersection, it is perpendicular to all lines of their plane passing through this point'. However, non-parallel lines that do not satisfy these conditions are simply intersecting lines at some angle other than 90 degrees.
What is 1/4y+3/4(y-8)
Answers
Answer: y-6
Step-by-step explanation:
1/4y+3/4(y-8)
1/4y+3/4y-6
1y-6
Just simplify the equation by distributing 3/4 to y and -8 then combine like terms
sams swim shop also owns a small beachside stand. the beachside stand profit is about 25% of the amount of the swim shop profit. If the stand profited $2,000 in march,then how much did the swim shop profit ??
Answers
Answer:
8000
Step-by-step explanation:
25% of x = 2000
x=8000
The city aquarium got a new tank for their dolphins. The tank is 16 feet high with a radius of 28 feet. Answer these
questions about the new dolphin tank.
Approximately how much water will it take to fill the tank?
The aquarium needs to purchase a plastic cover for the tank. What should the approximate size of the cover be?
Answers
Answer:
I know the answer to the last one. Its D
Step-by-step explanation:
Approximately, the quantity of water it will take to fill this tank is equal to 39,413 cubic feet.
Given the following data:
Radius of cylinder = 28 feet.
Height of cylinder = 16 feet.
How to calculate the volume of this cylinder?Mathematically, the volume of a cylinder is calculated by using this formula:
V = πr²h
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
V = 3.142 × 28² × 16
V = 39,413.248 ≈ 39,413 cubic feet.
For the cover size, we have:
Area = πr²
Area = 3.142 × 28²
Area = 2,463.328 ≈ 2,463 ft².
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Jasmine thinks that the images are the same because they are both isosceles triangles. Do you agree with Jasmine why or why not?
Answers
Answer:
No, images are not same as their dimensions are different although two sides in each of the two triangles are equal.
Step-by-step explanation:
Given: images of two isosceles triangles.
To check: if images are the same
Solution:
A triangle is a polygon made up of three sides.
An isosceles triangle is a triangle in which two sides are equal. Also, in an isosceles triangle, angles opposite to equal sides are equal.
The given images of two isosceles triangles A and B are not the same as their dimensions are different although two sides in each of the two triangles are equal.
Determine the sine of
Answers
Answer:
The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
I'm not sure if this answers your question.
convert 64 km to miles
Answers
Answer:
39.68 miles
Step-by-step explanation:
1 km is roughly 0.62 miles
Multiply 0.62 by 64 to get the answer of 39.68
Answer:
39.768 miles
Step-by-step explanation:
1.60934 Km equals 1 miles so 64 divide by 1.60934 to get the answer, 39.768.