[tex]y-2=-\frac{1}{3}(x+6)\\y=-\frac{1}{3}(x+6)+2[/tex]
Simply move -2 to another side.
[tex]y=-\frac{x}{3}-2+2[/tex]
Distribute -1/3 in (x+6)
[tex]y=-\frac{x}{3}[/tex] ---> Answer
Answer:
x + 3y = 0
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y - 2 = - [tex]\frac{1}{3}[/tex] (x + 6) ← distribute
y - 2 = - [tex]\frac{1}{3}[/tex] x - 2 ( add 2 to both sides )
y = - [tex]\frac{1}{3}[/tex] x ( multiply through by 3 to clear the fraction )
3y = - x ( add x to both sides )
x + 3y = 0 ← in standard form
Consider the line y=6×-7
what is the slope of a line parallel to this line?
what is the slope of a line perpendicular to this line?
Answer:
The slope of a line parallel to this line will be: 6
The slope of the perpendicular line will be: -1/6
Step-by-step explanation:
We know the slope-intercept form
[tex]y=mx+b[/tex]
Here,
m is the slope b is the y-interceptGiven the equation
[tex]y=6x-7[/tex]
Thus, the slope of the line is: 6
The slope of a line parallel to the line:
We have already determined that the slope of the line is: 6
We know that the parallel lines have the same slope.Thus, the slope of a line parallel to this line will be: 6
The slope of a line perpendicular to the line:
We have already determined that the slope of the line is: 6
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be:
[tex]\frac{-1}{6}\:\:[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=-\frac{1}{6}[/tex]
Therefore, the slope of the perpendicular line will be: -1/6
y'all still have work oh my gosh ;((( WHENS YOUR HOLIDAY BREAK?? (mine started out yesterday)
What is the result of adding these two equations? 50-y=6 -2x +y = 8
Answer:
48x = 14
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Systems
50x - y = 6
-2x + y = 8
Step 2: Solve for x
Elimination
Combine 2 equations: 48x = 14HELPPP PLEASE!!
Solve for d:
3d-17 = 46
A. 15 1/3
B. 21
C. 5 2/3
D. 9 2/3
WILL BRAINLIST
45 points
Drag each tile to the correct box. Not all tiles will be used.
Simplify the expression by arranging the steps in sequence, based on the order of operations,
A bouncing toy reaches a height of 64 inches at its first peak, 48 inches at its second peak, and 36 inches at its third peak. Which explicit function represents the geometric sequence of the heights of the toy?
f(x) = 48(Five-sixths) Superscript x minus 1
f(x) = 48(three-fourths) Superscript x minus 1
f(x) = 64(three-fourths) Superscript x minus 1
f(x) = 64(Five-sixths) Superscript x minus 1
Answer:
The correct option is;
f(x) = 64(three-fourths)Superscript x minus 1
Step-by-step explanation:
The first peak height that the bouncing toy reaches = 64 inches
The second peak height that the bouncing toy reaches = 48 inches
The third peak height that the bouncing toy reaches = 36 inches
Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4
The first term of the sequence, a = The first peak height reached = 64
The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾
The xth term of the geometric sequence, f(x), is therefore, given as follows;
[tex]f(x) = 64 \times \left(\dfrac{3}{4} \right) ^{(x - 1)}[/tex]
The correct option is;
f(x) = 64(three-fourths)Superscript x minus 1
Step-by-step explanation:
The first peak height that the bouncing toy reaches = 64 inches
The second peak height that the bouncing toy reaches = 48 inches
The third peak height that the bouncing toy reaches = 36 inches
Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4
The first term of the sequence, a = The first peak height reached = 64
The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾
The xth term of the geometric sequence, f(x), is therefore the correct answer is C
HELP ME WITH THIS PLEASE!! WILL MARK BRAINLIEST
Help Please and thank you
Answer:
2x + 3 = -7 ---> x = -5
4.5x - 7 = 20 ---> x = 6
-3x + 7 = 28 ---> x = -7
Step-by-step explanation:
2x + 3 = -7
2x = -10
x = -5
4.5x - 7 = 20
4.5x = 27
x = 6
-3x + 7 = 28
-3x = 21
x = -7
Help for BRAINLIEST! Find the missing coordinates of the points in the diagram
Answer:
(2, 2[tex]\sqrt{3}[/tex]) and (4,0)
Step-by-step explanation:
Let x be half of the triangles length
3x = 6
x = 2
so B should be (2, 2[tex]\sqrt{3}[/tex])
and D should be (4, 0)
A hot tub pump circulates 3.9 cubic feet of water per minute.how many cubic inches of water does it circulate each second
Answer:
0.78 cubic inches/sec
Step-by-step explanation:
you take 3.9 cubic feet and multiply it by 12 to convert it into inches and you get 46.8 cubic inches. then you divide by 60 to convert minutes to second and you get 0.78. hope that helps
Answer:
1123.2 cubic inch per second
Step-by-step explanation:
3.9 feet^3 = per minute
? = second
39 = 60 sec
? = 1 sec
39/60 =0.65 feet cubic
1 cubic foot = 1728 cubic inch
0.65 feet cubic = ?
0.65 * 1728
= 1123.2 cubic inch
The question is in the photo
Answer:
49 and 97 is not the answer
A circle has radius 50 cm. Which of these is closest to its area?
Select one:
157 cm^2
314 cm^2
7,854 cm^2
15,708 cm^2
^two-dimentional figure^
area from circle
=
[tex]\pi \times r ^{2} [/tex]
=3,14 × 50²
=3,14 × 2500
=7850 cm².
closest= 7854 cm² ✅✅
FINALLY FOUND31. EF, given E(8, -3), (2, -5)
Domain
Range
Answer:
I think the domain would be the x values and range would be the y values in the given 2 points.
Domain : [2 , 8]
Range : [-5 , -3]
I hope you get this right.
If someone drove 640 miles in 4 hours how would you determine they would travel in 12?
Answer:
Step-by-step explanation:
if someone drove 640 miles in 4 hours,
, it means that they drove 640/4=160 miles per hour
in 12 hours
160*12=1920
or
640............................4 h
640*3.........................4*3 hours
which give syou the same answer
1920.............................12 hours
Answer:
1,920 miles
Step-by-step explanation:
640 divided by 4 = 160
160 x 12 = 1,920
Help please
Hint ( wave length is speed decided by frequency )
Physics The wavelength of a radio wave is defined as speed divided by frequency.
An FM radio station has a frequency of 9 x 10^7 waves per second. The speed of
the waves is about 3 x 10^8 meters per second. What is the wavelength of the
station?
Answer:
3.333 m
Step-by-step explanation:
Divide speed by frequency
3 x 10^8 / 9 x 10^7
The graph below represents which system of inequalities?
Answer:
c
Step-by-step explanation:
m-
GET
17.
xm+ xy
(b) fa x = 2, y = 3, m= 4 n= 1 45 m-n
xm-nxymn
मान पत्ता लगाउनुहोस्।
If x = 2, y = 3, m = 4 and n= 1, find the value of
xm+nxy
Ans:
xm-nxym
m-n
+10
m + n.
Answer:
[tex]xm+nxy=14[/tex]
Step-by-step explanation:
Given that x = 2, y = 3, m = 4 and n= 1.
Putting all the given values to get the value of xm+nxy.
So, the value of [tex]xm+nxy=2\times 4 + 1\times 2 \times 3=14[/tex]
Hence, [tex]xm+nxy=14[/tex].
tyrell walks 12 miles in 3 hours. which graph has the slope that best represents his rate
The graph that has the slope that best represents the unit rate of 4 miles per hour is: graph B.
How to Find the Slope of a Proportional Relationship Graph?For any proportional relationship, we can find the slope of the graph by using any point on the line of the graph. The slope of the graph is also the unit rate, Therefore, picking a point on the line, (x, y), we have:
Slope (m) = y/x.
Number of miles Tyrell walks (y) = 12 miles
Time spent working (x) = 3 hours
The unit rate or slope = y/x = 12/3
Slope/unit rate (m) = 4 miles per hour.
From the graphs given, only graph B has the same unit rate/slope as 4, when we use the point, (5, 20).
Slope of graph B = 20/5 = 4.
Therefore, the graph that has the slope that best represents the unit rate of 4 miles per hour is: graph B.
Learn more about slope of a graph on:
https://brainly.com/question/12242745
#SPJ1
Given: Parallelogram QRST where QR = 6X - 5
and RS = 4x + 13. What is the length of QT?
The length of QT should be considered when the Parallelogram QRST where QR = 6X - 5 is to be [tex]x=-13/3[/tex].
Calculation of the length of QT:SInce
Parallelogram QRST where QR = 6X - 5 and RS = 4x + 13
So here we can write like
-3x = 13
x = [tex]-13 /3[/tex]
hence, The length of QT should be considered as the [tex]x=-13/3[/tex].
Learn more about length here: https://brainly.com/question/21005254
The lines shown below are parallel. If the green line has a slope of -4, what is
the slope of the red line?
Answer:no graph is shown below
Step-by-step explanation:
But since is no solution they can't have the same slope.
For the AAS theorem to apply which side of the triangle must be known?
A. The included side
B. The longest slide
C. The shortest side
D. The non-included side
Answer:
option a is answer (the included side)
For the AAS theorem to apply which side of the triangle must be known option d. The non-included side.
What is AAS theorem?In the case when there is two angles and there is nonincluded side for one triangle that should be congruent to two angles and a nonincluded side of a second triangle, so the triangles should be considered as the congruent.
therefore, For the AAS theorem to apply which side of the triangle must be known option d. The non-included side.
Learn more about option triangle here: https://brainly.com/question/4344649
Determine the intercepts of the line
Answer:
The y-intercept is 2
Step-by-step explanation:
In the image you can see the line going through the 2.
Select all the ratios that are equivalent to 9:6.
A 6:9
B 3:2
C 13:10
D 5:2
E 18:12
Answer:
B and E
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
9:6 reduced is 3:2
5 Clear Which number line best represents the solution to the inequality 18x + 3 < 48?
Answer:
D
Step-by-step explanation:
you must solve first
18x < 45
x < 2.5
the number line will have an arrow with an open circle since it does not include 2.5. the line will head towards 0 and negatives since it's less than 2.5 so your answer is D
Complete the inequality below to describe the
range of the graph shown.
Range:
<<5
Fill in the inequalities below to specify the graph's domain shown. Domain: __ is not greater than or equal to x, which is below 4.
Fill in the inequalities below to specify the graph's range shown.
Range: __ is not greater than or equal to y, which is below 5.
The domain and range is the graph's domain is its set of potential input values, and its range is its set of potential output values.
Following is the finished inequality reflecting the set of the domain and range;
First,
Domain: -4 is below x, which is below or equal to 4.
Second,
Range: -2 is below y, which is below or equal to 5
The attached graph shows that the point (-4, 5) has an open circle, which denotes that the point has no value.
The closed circle at the other end of the graph, at the coordinates (4, -2), denotes that the graph has a value at that location (4, -2)
First,
The domain of a graph is the set of potential inputs (x-values) for the graph, expressed as inequality is -4 < x ≤ 4
Therefore;
To complete the inequality for the domain, gives;
Domain: -4 is less than x which is less than or equal to 4
Second,
The range of a graph are the possible output (y-values) of the graph, in inequality notation, the domain of the attached graph is -2 ≤ y < 5
the domain supplies the necessary inequality to be complete;
Range: -2 is less than or equal to y which is less than 5.
Learn more about the domain and range of a graph here:
brainly.com/question/15164206
#SPJ9
7
Add: 4.0 + 3y + 2z and 3x + 5y + 3z
Answer:
8y+2zand^3x+3z+4
Step-by-step explanation:
evaluate 5x-[21-(3-11)x] when x=-2
Answer:
-15
Step-by-step explanation:
(5)(−2)−(21−(3−11)(−2))
=−15
HAve a wonderful day Brainliest Please.
Olympus Mons's peak rises 25 km above the surface of the planet Mars. The diameter of Mars is approximately 6794 km. What is the distance from the peak of Olympus Mons to the horizon to the nearest kilometer?
Answer:
1.17*10^14 km
Step-by-step explanation:
kindly find attached the image for your reference
Step one:
The diameter of Mars is approximately 6794 km
hence the radius is = 6794/2= 3397km
Step two:
Use the Pythagorean Theorem
[tex]x^2 + 3397^2 = (3397 + 25)^2\\\\[/tex]
[tex]x^2 + 11539609 = (11710084)^2\\\\x^2 + 11539609 = (11710084)^2\\\\x^2= (11710084)^2-11539609 \\\\x^2= 1.37*10^14-11539609 \\\\x^2=1.37*10^14\\\\x= √1.37*10^14\\\\x=1.17*10^14 km[/tex]
Help lots of point + brainliest plz
write in slope intercept and standard form
Answer: 4
Step-by-step explanation:
what is 3/5 divided 2 1/2?
Answer:
6/25 or 0.24
Step-by-step explanation:
(3/5) / (2 1/2) =
(3/5) / (5/2) =
(3/5) × (2/5) =
6/25 = 0.24
Answer:
6/25
Step-by-step explanation:
I Divided 3/5 by 1/2