Answer:
5/3 or 1 2/3 there you go
What is an equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27?
Answer: y=3x+3
Step-by-step explanation:
The equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The point (1, 6) and is perpendicular to the line x + 3y = 27
The slope of the line x + 3y = 27
m = -1/3
The slope of the line perpendicular to the line x + 3y = 27:
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
M = 3
The equation of the line:
y - 6 = 3(x - 1)
y = 3x + 3
Thus, the equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3
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Explain Null Factor Law
Answer:
If the product of any two numbers is zero,then one or both of the numbers is zero.That is,if ab=0, then a=0 or b=0 (which includes the possibility that a=b=0).
Suppose a parabola has vertex (6, -3) and also passes through the point (8,5).
Write the equation of the parabola in vertex form.
(Answers are given in photo)
10 points!!! Please help.
Answer: D. y = 2(x - 6)^2 - 3
Step-by-step explanation: see attachment. i hope this helped :)
The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]
The vertex form of the equation of a parabola is:
[tex]y = a(x - h)^2 + k[/tex]
where the vertex = (h, k)
The given vertex, (h, k) = (6, -3)
The line passes through the (8, 5)
x = 8, y = 5
Substitute x = 8, y = 5, h = 6, y = -3 into the equation to solve for a
[tex]y = a(x - h)^2 + k[/tex]
[tex]5 = a(8 - 6)^2 + (-3)\\5 = a(2^2)-3\\4a = 5 + 3\\4a = 8\\a = \frac{8}{4} \\a = 2[/tex]
Substitute a = 2, h = 6, k = -3 into [tex]y = a(x - h)^2 + k[/tex]
[tex]y = 2(x - 6)^2-3\\[/tex]
The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]
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Carly, Brandon and Wyatt gather and shell walnuts for their grandfather. Carly gathers 3.5 pounds of walnuts. Brandon collects 3.75 pounds of walnuts and Wyatt collects 2 pounds. If they place all of the walnuts in one basket and each shells the same amount of walnuts, how many pounds will each person she
Answer: 3.083 pounds
Step-by-step explanation:
Amount of walnuts gathered by Carly = 3.5 pounds
Amount of walnuts gathered by Brandon = 3.75 pounds
Amount of walnuts gathered by Wyatt = 2 pounds
Total walnuts gathered = 3.5 + 3.75 + 2 = 9.25 pounds
Since they shared the walnuts equally, each person will get:
= 9.25pounds/3
= 3.083 pounds
What is the missing term in the factorization? 1872 -- 32 2(3x+?) (3x – 4) Enter your answer in the box.
Answer:
4
Step-by-step explanation:
..........................
If your balance is $90 dollars & you have to pay a $10 deposit fee how much left do you have to pay
Answer:
90 minus 10 is 80 so $80 left
A rocket releases a satellite into orbit around Earth, The satellite travels at 2000 m/s in 25 seconds. What is the acceleration?
Answer:
80
Step-by-step explanation:
The formula to calculate speed is s=d/t. If the distance is 2,000 m/s and the time is 25 seconds, you plug in the numbers into the formula for speed. 2,000/25=80
The satellite's acceleration (speed) is 80.
(I'm not exactly sure what the unit should be for the answer 80, but...) I hope this helps and have a great day!! :3
Write the slope intercept form of an equation for the line containing (0,-3) with slope -1.
Answer:
y=-x-3
Step-by-step explanation:
Formula (point slope): y-y1=m(x-x1)
y-(-3)=-1(x-0)
(distribute the -1)
y+3=-1x+0
(combine like terms)
y=-1x-3
Line segment EF is shown on a coordinate grid: A coordinate plane is shown. Line segment EF has endpoints negative 3 comma 2 and negative 1 comma 2. The line segment is rotated 180 degrees counterclockwise about the origin to form E'F'. Which statement describes E'F'? E'F' is perpendicular to EF. E'F' and EF are equal in length. E'F' is half the length of EF. E'F' is greater than twice the length of EF.
Answer:
The answer is " E'F' and EF are equal in length".
Step-by-step explanation:
By rotating that through some degree, a revolution is some kind of rigid transformation, which creates an image of the very same shape and size. There will be two main properties of the rotation:
Preservation of rotating scale (including sides and angles). The lines connecting the rotation center to the pre-image and the corresponding image point are of equal length.In each line, the segment is rotated counterclockwise 180 degrees around the origin to form E'F, that's why the above given choice is correct.
Answer:
The answer is " E'F' and EF are equal in length
Step-by-step explanation:
Carrie needs to determine the number of tiles that will fit in each row along the back of the shower. If the back of the shower measures 6 feet long and each tile is Two-thirds of a foot long, which equation shows how to determine the number of tiles that will fit in each row?
Answer: A6/ 2/3= 9
Step-by-step explanation:
We know that one tile is 2/3 ft long and we want to cover 6 ft (which is the given measure of the back of the shower).
To know the number of tiles needed, we will simply do cross multiplication as follows:
1 tile ...............> 2/3 ft
?? tiles ...........> 6 ft
Number of tiles = (6*1) / (2/3)
Number of tiles = 6 / (2/3)
Number of tiles = 9 tiles
Answer:
A). 6 ÷ 2/3 = 9
Step-by-step explanation:
I have attached a screenshot
Answer:
Step-by-step explanation:
x2 + 2x - 7 + 11x2 - 5x - 1
Solving like terms
12x2 - 3x - 8
Which of the following can be concluded given Z1 a ZT?
4
3/2
5
a
Humans shed about three million particles of skin every five hours. Humans can shed about fifty thousand particles of skin every five minutes. The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is __
Answer: The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .
Step-by-step explanation:
Given: Humans shed about 3million particles of skin every 5 hours.
Since, 1 million = 1,000,000
Then 3 million = 3 x 1 million
[tex]= 3 \times1,000,000[/tex]
[tex]= 3,000,000[/tex]
[tex]=3\times10^6[/tex]
On comparing to [tex]a\times 10^{b}[/tex] , we get a = 3 and b=6
So, the approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .
Answer:
6
Step-by-step explanation:
First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.
what is the slope of a line perpendicular to the line whose equation is 9x+3y=-27
Answer:
y = (1/3)x - 27 <-- perpendicular line
Step-by-step explanation:
9x + 3y = (-27)
3x + y = (-27)
y = (-3x) - 27 <-- original line
y = (-3x) - 27 <-- original line
slope = (-3)
slope = (-3/1)
inverse = (1/-3)
negative inverse = (1/3)
y = (1/3)x - 27 <-- perpendicular line
find the x intercept and y intercept of
3x - 9y =18
Answer:
y-intercept: (0, -2)
x-intercept: (6, 0)
Step-by-step explanation:
The y-intercept is the value of y when x =0. Substitute 0 for x to find the y-intercept.
[tex]3x - 9y = 18[/tex]
[tex]3(0) - 9y = 18[/tex]
[tex] - 9y = 18[/tex]
[tex]y = - 2[/tex]
When x = 0, y = - 2 so the y-intercept is (0, - 2).
The x-intercept is the value of x when y = 0. Substitute 0 for y in the equation to find the x-intercept.
[tex]3x - 9y = 18[/tex]
[tex]3x - 9(0) = 18[/tex]
[tex]3x = 18[/tex]
[tex]x = 6[/tex]
When y = 0, x = 6 so the x-intercept is (6, 0).
Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
x² - y²
Answer:
-3
Step-by-step explanation:
-1*-1=1
2*2=4
1-4
=-3
The lengths of salamanders have a normal distribution with mean 15cm, and standard deviation 2cm. What is the probability a salamander has length between 12.2cm and 16.5cm
Answer:
The probability a salamander has a length between 12.2cm and 16.5cm is 0.6930
Step-by-step explanation:
We start by finding the z-score of each
Mathematically;
z-score = (x - mean)/SD
for 12.2 cm
z-score = (12.2 - 15)/2 = -2.8/2 = -1.4
For 16.5 cm
z-score = (16.5 -15)/2 = 1.5/2 = 0.75
So the probability we want to calculate is;
P( -1.4 < z < 0.75)
we can calculate this using the normal distribution table
Mathematically;
P( -1.4 < z < 0.75) = P( z < 0.75) - P( z < -1.4)
= 0.2263 + 0.30738
= 0.69262
You need to find three numbers that come in quick succession in the order of numbers (ex. 1, 2 and 3) and which
in total gives 30. What are the numbers?
equation
Answer:
set middle number=x
then left side number=x-1
and right side number=x+1
(x-1)+x+(x+1)＝30
3x=30
x=10
x-1=9
x+1=11
numbers are 9,10,11
PLEASE HELP
4. What are the parallel, perpendicular and diagonal cross sections for a cylinder, rectangular prism and rectangular pyramid?
Answer:
For a Cylinder It is a circle, For a rectangular prism it is a square rectangular pyramid a cross section is a rectangle
Step-by-step explanation:
I basically told you the answer so
Hope this helps :)
What exponent should you use to represent the power of 10 below?
10,000,000 = 10?
Answer:
10^6
Step-by-step explanation:
Answer:
[tex]10 {}^{6 } = 10000000[/tex]
It helps you ☺️☺️Thank you ☺️☺️
PLEASE HELP! WILL MARK BRAINLIEST!!
Answer:
<RQS=121
Step-by-step explanation:
please mark brainleist
Simplify -7 + 7 -19 A.12 B.-19 C. 0 D.19 PlZZzz Help me
Answer:
8^2+20-30x
Step-by-step explanation:
Answer:
Hello
B. -19
Step-by-step explanation:
= (-7)+7-(19)
= (-7+7)-19
= 0-19
= -19
PLEASE HELP, IM NOT SURE!!!
The scale on a map reads 2 inches = 5 miles. What is the actual distance
between two cities on the map that are 6.5 inches apart?*
O A. 2.6 miles
B. 13 miles
O C.32.5 miles
D. 16.25 miles
Answer:
Step-by-step explanation:
2 inches = 5 miles.
So if you divide both sides by 2,
1 inch = 2.5 miles
To find how many miles 6.5inches is equal to, multiply 2.5 by 6.5
6.5 inches = 2.5 x 6.5 = 16.25 miles
Help me solve this problem please
Answer:
6
Step-by-step explanation:
2(6) - 3(6) + 20 + 5(6) - 40 = 4 CORRECT
2(8) - 3(8) + 20 + 5(8) - 40 = 12 WRONG
2(16) - 3(16) + 20 + 5(16) - 40 = 44 WRONG
2(18) - 3(18) + 20 + 5(18) - 40 = 52 WRONG
Which expressions are equivalent to -6(b + 2) + 8?
Choose all answers that apply:
A -66 + 2 + 8
B - 66 - 4
C None of the above
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
Tina recorded the number of calories she burned during a bike ride. The graph shows Tina’s calories burned, y, after x hours. If Tina rode her bike at a constant rate for the first three hours, what was Tina’s average calories burned, in calories per hour, between hour 0 and hour 3?
Answer:
the answer is B because 2x3 is ainzqwndwqncjnjqanc2ejn2qncb
Step-by-step explanation:
400 per hour was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.
Given that,
Tina kept track of the calories she expended while riding her bike. After x hours, the graph displays Tina's calories burned, y.
We have to find what was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.
What is a graph?
A graph is a visual representation or diagram that displays facts or values in an organized manner in mathematics. The relationships between two or more objects are often shown by the points on a graph.
Therefore, 400 per hour was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.
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Marietta was given a raise of $0.25 per hour, which gave her a new wage of $10.75 per hour. Enter and solve an equation to determine Marietta's hourly wage, x, before the raise. Complete the explanation to show that your answer is reasonable.
Answer:
10.50$
Step-by-step explanation:
helppp plsssssssssssssssssssss
Answer:
6b-8=58
b=11
Step-by-step explanation:
write an equation of a line passing through point p(4, 0) that is parallel to the line -x+2y=12
Answer:
y = [tex]\frac{1}{2}[/tex]x - 2
Step-by-step explanation:
Given parameters:
Coordinates = p(4,0)
Equation of the line -x+2y=12
Solution:
A line parallel to the given line will have the same slope as it is;
-x+2y=12
2y = x + 12
y = [tex]\frac{1}{2}[/tex]x + [tex]\frac{12}{2}[/tex]
Since this conforms to y = mx + c where;
x and y are the coordinates
m is the slope
c is the intercept
Our slope is [tex]\frac{1}{2}[/tex]
The equation of the line is
y = mx + c
let us find c;
c = y - mx
c = 0 - ([tex]\frac{1}{2}[/tex] x 4)
c = -2
Now the equation of the line parallel to the line given is;
y = [tex]\frac{1}{2}[/tex]x - 2
Find the measurement of PQ. Assume the drawings are not drawn to scale
Answer:
25.7 cm
Step-by-step explanation: