Write the equation of the
line that is parallel to
y = 1.5x – 6 and passes
through the point (4,2).
Answers
:)
The equation of the line is (y - 2) = 1.5(x - 4)
What is line ?
Euclid described a line as an "unextended length" that "stands equally with respect to its points"; he introduced the postulates as the main unprovable properties from which he constructed all of geometry, now called Euclidean geometry to avoid confusion with other geometries introduced from the late 19th century (such as non-Euclidean, projective and affine geometry).
In modern mathematics, given the multiplicity of geometries, the concept of line is closely related to the way geometry is described. For example, in analytic geometry, a plane line is often defined as a set of points whose coordinates correspond to a given linear equation, but in a more abstract setting, such as drop geometry, the line may be an object other than the set. of the points located on it.
When geometry is described by a set of axioms, the concept of line is usually left undefined (so-called primitive object). The properties of the lines are then determined by the axioms that refer to them. One of the advantages of this approach is the flexibility it gives users of the geometry. Thus, in differential geometry a line can be interpreted as a geodesic (shortest path between points), while in some projective geometries a line is a 2-dimensional vector space (all linear combinations of two independent vectors). This flexibility also extends beyond mathematics and allows physicists, for example, to think of the path of a light ray as a line.
Given, [tex]y = 1.5x - 6....(1)[/tex]
We are comparing equation (1) with y = mx+c and get m = 1.5
It is also given required equation passes through the point (4,2)
We know, if slope of a equation m and the equation passes through (a,b) then equation of the line (y-b) = m (x-a)
Here,
[tex]m = 1.5 \\ a = 4 \\ b = 2[/tex]
So, required equation of the line [tex](y - 2) = 1.5(x - 4)[/tex]
Line related one more question:
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Related Questions
PLEASE ANSWER ALL
What is the equation of the axis of symmetry of the function?
What are the coordinates of the vertex of the function?
What are the coordinates of the x¬-intercepts of the function?
What are the coordinates of the y-intercept of the function?
Answers
Step-by-step explanation:
The axis of symmetry: is the line that makes the parabola split in exactly half and lines up with the vertex. For that parabola x=1 is the line of symetry.
The vertex is where the minimum of the graph is, on this graph you can eyeball it to be (1,-9)
The x-intercept is where y is 0 so that's where the lines intersex with the x-axis. (-2,0) and (4,0)
The y-intercept of the function is where x is 0 and where the parabola intersects with the y-axis. On this graph it would be (0,-8)
Hope that helps :)
Find inverse of f(x) = 2 + 3x / x - 2
Know answer is 2x + 2 / x - 3 I just want someone to explain the steps for my revision!
Thank you.
Answers
Now just interchange x and y -> x=2+3y/y-2, now multiply both sides with (y-2), we get (y-2)x=2+3y.
Multiply x with the brackets, getting xy-2x=2+3y. Move 3y to the left changing it’s sign, also for -2x to the right: xy-3y=2+2x.
Factor out y from (xy-3y) and get (3-x)y=2+2x - now divide both sides by (3-x) resulting in y=2+2x/3-x .
pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you
Answers
Answer:
Median is the middle line of the box, Lower quartile is the number of the lower end of the box, Upper quartile is the line at the larger end of the box, Maximum is the largest number in the box plot (end of right whisker), Minimum is the lowest number (end of left whisker).
Step-by-step explanation:
32.
Median: 88
Maximum (largest number): 102
Minimum (lowest number): 38
Interquartile range:
96 - 72 = 24
b.
25 % higher
75 % lower?
c.
You can see the range is more towards the right of the box meaning they have higher scores, and that the median or middle is a higher number so it means that most of the students understood and did well on the test.
???.
First quartile: 16
Second: 19
Third: 20
Range: 4
34. Since they are already in least to greatest order, all we have to do is graph it!
85 - 99 is 2
100 - 114 is 1
115 - 129 is 5
130 - 144 is 6
2/5+3/6 GETS BRAINLIEST
Answers
Answer:
27/30
Step-by-step explanation:
yepyffghhhhgghjj
Answer:
9/10 or 0.9
Step-by-step explanation:
When adding fractions, you look at each of them as an equal number, or a whole.
25+36
91
So, now all we have to do is convert it to it's closest form. (In tenths, since we are adding tenths.)
90
And it would be 9/10, or 0.9
Hope this helps!
y = 3x - 5 and y = 4x.
Answers
Answer: x = -5
New Equation (after substituting) 4x = 3x - 5
Subtract 3x from both sides
x = -5
hey guys i rlly need help i don't understand rational numbers
Answers
Answer:
if its not a fraction or a number that can be written as a fraction, its an irrational
Find the value of x. Round to the
nearest tenth.
X
37
6
X=
Enter
Answers
Answer:
x ≈ 4.5Steps:
tan(37°) = 0.75..
tan(37°) = x/6
x/6 = 0.75..
x = 0.75.. × 6
x = 4.52.. ≈ 4.5
Answer:
The answer is 4.5
Step-by-step explanation:
x =4.5
Fill in 4.5
Help? I don’t understand this math
Answers
Answer:
Option J:[tex] {x}^{3} {y}^{3} [/tex]
Step-by-step explanation:
Given,
Width of the rectangular prism
= x
Length of the rectangular prism
[tex] = {x}^{2} y[/tex]
Height of the rectangular prism
[tex] = {y}^{2} [/tex]
Therefore,
Volume of the rectangular prism
= Width × Length × Height
[tex] = x \times {x}^{2} y \times {y}^{2} [/tex]
[tex] = {x}^{3} {y}^{3} [/tex]
Hence,
The required volume of the rectangular prism is
Option J:
[tex] {x}^{3} {y}^{3} [/tex]
There are 35 green, 22 white, 30 purple and 14 blue gumballs in the gumball machine.
Sharee wants to get a white or green gumball.
What is the probability of getting a white or green gumball?
Answers
Answer:
The probability of getting a white or green gumball is 35.64%.
Step-by-step explanation:
1. calculate the total number of gumballs in the gumball machine
35 + 22 + 30 + 14 = 101 gumballs
2. calculate the number of white and green gumballs combined
22 + 14 = 36 w/g gumballs
3. divide the number of white and green gumballs combined by the total number of gumballs in the gumball machine
36 / 101 = 0.3564
Answer: the probability of getting a white or green gumball is 35.64% (0.3564).
Probability is the chance of occurring an event from the total possible outcomes.
The probability of getting a white or a green gumball is 57/101.
What is probability?It is the chance of occurring an event from the total possible outcomes.
We have,
Green gumballs = 35
White gumballs = 22
Purple gumballs = 30
Blue gumballs = 14
Total gumballs = 35 + 22 + 30 + 14 = 101
The combination is given by:
= [tex]^nC_{r}[/tex]
= n! / r! (n-r)!
The probability of choosing a white gumball:
= [tex]\frac{^{22}C_{1}}{^{101}C_{1} }[/tex]
= 22 / 101
The probability of choosing a green gumball:
= [tex]\frac{^{35}C_{1}}{^{101}C_{1} }[/tex]
= 35 / 101
The probability of getting a white or a green gumball:
= 22/101 + 35 / 101
= (22 +35) / 101
= 57 / 101
Thus the probability of getting a white or a green gumball is 57/101.
Learn more about probability here:
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Piscine is replacing the paving stones around her inground pool. Her pool is 10 cm by 5 cm, and is surrounded by a 1.5m border of paving stones.
a) How many square metres of paving stones will she need in total?
b) If each paving stone is 25 cm by 40 cm, in theory, how many paving stones will she need?
c) Will your answer in part b) actually be enough? Try fitting the stones in the space to see whether Piscine can complete the border with exactly that number of stones, or whether there will be waste, requiring some extras.
Answers
B=1,000
C= no because the number is small
what is the scale factor of figure b to a
Answers
Answer:
C. 2:5
Step-by-step explanation:
Find perimeter of each...
a. 10+25+21.5=56.5
b. 4+10+8.6=22.6
b:a
22.6:56.6
simplify
11.3 will go into both for..
2:5
NEED THIS DONE ASAP
If P(x) = -2(1 - x)2 +5, what is the value of
P(-3)?
Answers
Answer:
P(-3) = -1
Step-by-step explanation:
So just substitute the value of x in the equation:
Value of x is (-3)
So:
P(x) = -2(1 - x)2 +5
P(-3) = -2(1-(-3)) 2 + 5
P(-3) = -2(4) 2 + 5
P(-3) = -8 + 2 + 5
P(-3) = -6 + 5
P(-3) = -1
Find the exact value of sin 105º.
Answers
Answer:
sin 105 = sin (45 + 60) = sin 45 cos 60 + cos 45 sin 60, or
= (1 / √2)(1 / 2) + (1 / √2)(√3 / 2)
1 + √3
= -------------
2√2
Step-by-step explanation:
(according to my calculator)
Find the missing side length of
the triangle.
Answers
Answer:
50 units
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
a = 48
b = 14
c = ?
Step 2: Solve for c
Substitute in variables [Pythagorean Theorem]: 48² + 14² = c²Evaluate exponents: 2304 + 196 = c²Add: 2500 = c²[Equality Property] Square root both sides: 50 = cRewrite: c = 50can anyone answer this? thanks :)
Answers
Answer:
39°
Step-by-step explanation:
The sum of AXE, AXC and CXF will be 180 because they together span a straight line (EF).
So: y + 90 + y - 12 = 180, which is an equation you can solve by simplifying it:
y + 90 + y - 12 = 180
2y + 78 = 180
y + 39 = 90
y = 90 - 39 = 51
So AXE = 51
AXC = 90
CXF = 51-12 = 39 (the answer)
Check: 51+90+39 = 180
the bakers at a bakery can make 160 bagels in 4 hours. how many bagels can they bake in 6 hours? what is the rate per hour
Answers
Answer: they can make 240 bagels in 6 hours and the rate per hour is 40
Step-by-step explanation:
What is the greatest number of obtuse angles that a triangle can have?
Answers
Answer:
1
Step-by-step explanation:
PLS PLS HELP PLS PLS PLS HELP PLS HELP PLS BOTH OF THEM PLS
Answers
Answer:
16. Right isosceles
17. D
Step-by-step explanation:
The triangle has a right angle this makes it a right trangle. Also all parallelograms are not squares, all rectangles aren't squares and all parallelograms aren't rhombuses.
16. right isosceles
17. C: all rectangles are squares
To buy tickets online for a circus, there is a one-time processing fee of $5 and each
ticket costs $65. If Winston is buying tickets for himself and up to 3 of his friends, then
which statement below best represents this situation?
A. The domain is {70, 135, 200, 265).
B. The range is the total price of the tickets purchased and includes all whole numbers
from 1 to 4.
C. The range is {65, 130, 195).
D. The range is the total price of the tickets purchased and spans from 70 to 265.
Answers
I think the answer would be B. The range is then total price of the tickets purchased and includes all whole numbers from 1 to 4.
ill give brainliest
Write and solve the equation for the following situation:
Angles 1 and 2 are complementary. The measure of angle 1 is 16° larger than the measure of angle 2.
A. x + 16 = 90 x = 74
B. x + (x - 16) = 90 x = 53
C. 2x + 16 = 90 x = 37
D. x + 16 = 180 x = 164
Answers
what is the rate of change for y=38x+20
A. 38
B. 20
C.1
D. it has no term
Answers
Answer:
A
Step-by-step explanation:
Find the equation of the exponential function represented by the table below:
Answers
Answer:
[tex]y=0.01(4)^x[/tex]
Step-by-step explanation:
Hey guys I really need help please help me
Answers
Answer:
I believe x would be 30
Step-by-step explanation: When you add 20+10 it will give you the other triangle side, which is 30, and then 22+11 will be 33. And for the final side 24+12 will give you 36
Turn the fraction 5/8 in to a percent.
Answers
Answer:
62.5%
Step-by-step explanation:
Answer:
62.5%
Explanation:
Divide 100 by 8 to get 12.5
Multiply 12.5 by 5
Equals 62.5
plssss help
answer it plssssssssss
Answers
yeah yeah yeah
if a = 2 and b = 7 then b^a =
Answers
Answer:
49
Step-by-step explanation:
7^2 mean 7x7 which is 49
Find the values of x and y that make the quadrilateral a parallelogram.
Answers
Answer:
x= 114, y= 66
Step-by-step explanation:
Opposite angles of a parallelogram are equal
A little boy stands on a carousel and rotates AROUND 4 times. If the distance between the little boy and the center of the carousel is 6 feet, then how many feet did the little boy travel? (C = 2πr). Use 3.14 for pi. (Hint: he is going AROUND 4 times not just once). Only put in the number do not put in the unit of measure (ft). *
Answers
Answer:
150.72
Step-by-step explanation:
C = 2*pi * r
C = 2* 3.14 * 6
C = 37.68
1 revolution = 37.68
4 revolutions = 4 * 37.68
4 revolutions = 150.72
The area of the shaded sector is 5 pi square meters. What is the area of the entire circle? Express your answer in terms of Pi.
A circle. The shaded section has an angle measure of 100 degrees.
Recall that StartFraction Area of sector over area of circle EndFraction = StartFraction n degrees over 360 degrees EndFraction.
A) 12 pi
B) 14 pi
C) 18 pi
D) 20 pi
Answers
Answer:
C - 18 pi
Step-by-step explanation:
edge
Answer:
5/18
108
A sector has an area of 30π in.2. The radii containing the sector form an angle of 100°. What is the area of the circle?
The ratio of the angle of the sector to the entire circle is
✔ 5/18
.
Area of the sector = StartFraction n degrees over 360 degrees EndFraction (pi) (r squared). 30 pi = StartFraction 100 degrees over 360 degrees EndFraction (pi) (r squared). (StartFraction 18 over 5 EndFraction) 30 pi = (pi) r squared.
The area of the entire circle is
✔ 108
Pi in.2
help what is The expression 4x gives the perimeter of a square with a side length of x units. What is the perimeter of a square with a side length of 5/7 units?
Answers
Answer:
2 6/7 units
Step-by-step explanation:
You substitute 5/7 in for x
4(5/7) = 20/7 = 2 6/7 units
You can also add 5/7 + 5/7 + 5/7 + 5/7 to check your work