Answer:
Solve the equation so it is in the y=mx+b form.
Step 1. 6x+9y = 216
Step 2. 9y = -6x+216
Step 3. y = -6/9x+24
Step 4. Simplify/Reduce to get y = -2/3x+24
Since it is Parallel then the slope is the same so the slope is -2/3x.
The slope of line parallel to line with equation → 6x + 9y = 216 is
m = -2/3.
What are Parallel lines?
Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
Given is a line which is parallel to a line whose equation is 6x + 9y = 216.
We know that the general equation of straight line is -
y = mx + c ... Eq [ 1 ]
where 'm' represents the slope of the line.
The equation of line given -
6x + 9y = 216.
Rearranging it -
9y = - 6x + 216
y = (-6/9)x + (216/9)
y = (-2/3)x + 24 ... Eq [ 2 ]
Comparing Eq[2] with Eq[1], we get -
m = -2/3
Therefore, the slope of the line with equation → 6x + 9y = 216 is -2/3.
Two parallel lines have same slope. Hence, the slope of line parallel to
line with equation → 6x + 9y = 216 is -2/3
Therefore, the slope of line parallel to line with equation →
6x + 9y = 216 is -2/3.
To solve more questions on Straight lines, visit the link below-
https://brainly.com/question/17986304
#SPJ2
PLEASE HELP ME ASAP!!
Given GK = XZ and GH = XY, which statement must be true? m∠G > m∠X m∠G < m∠X HG = XZ HK = YZ
Answer: B
m<G<m<x
Step-by-step explanation:
Just did it
Answer:
the second choice is correct B)m∠G < m∠X
Step-by-step explanation: got it right on edge 2020
Mario ran 12 kilometers. One mile is approximately equal to 1.6 kilometers. How many miles did Mario run?
(I'm new, I don't know why it says High School)
Answer:
19.2
Step-by-step explanation:
12x1.6=19.2
Answer:
7.5 miles
Step-by-step explanation:
if one mile = about 1.6 km then you would take the 12 and divide it by 1.6 which will give u 7.5 miles
(also it says high school because of the grade you probably put in)
what is 100 divided by 3?
A. Thirty three point 3
B. 33.3
C. 33.3333333333333333333
D. 4
E. ???
Answer:
C 33.3333333333
Step-by-step explanation:
Answer: dude it’s c
Step-by-step explanation: 33 1/3 = 33.3333333333333
Solve the equation algebraically
-|x+3|=-2
Answer: x=-1; x=-5
Step-by-step explanation:
1) [tex]-|x+3|=-2[/tex]
2)[tex]|x+3|=2[/tex]
3) [tex]x+3=2[/tex] or [tex]x+3=-2[/tex]
4) [tex]x=-1; x=-5[/tex]
A rectangle has a length of 31 inches less than 3 times its width. If the area of the rectangle is 984 square inches, find the length of the rectangle.
Answer:
41 inches
Step-by-step explanation:
The formula for Area of a rectangle is ;
A = L × W
L = Length
W = Width
A rectangle has a length of 31 inches less than 3 times its width.
L = 3W - 31
If the area of the rectangle is 984 square inches, find the length of the rectangle
Hence,
984 = (3W - 31) × W
984 = 3W² - 31W
Hence
3W² - 31W - 984
3W(W - 24) + 4(W - 24) = 0
(3W + 41)(W - 24) = 0
W - 24 = 0
W = 24 inches
We have to find the Length
L = 3W - 31
L = 3(24) - 31
L = 72 - 31
L = 41 inches
The Length = 41 inches
The Length of the rectangle is 41 inches
The mean undergraduate cost for tuition, room, board and fees for four-year colleges in the United States was found to be $26,489, with a standard deviation of $3204. If 36 of the four-year colleges are randomly sampled, find the probability that the mean cost for the sample schools is:
Answer:
0.1787
Step-by-step explanation:
It is given that the mean cost of undergraduate program for a four year institutions for tuition, rooms fees and board was =$26,489
And the minimum standard deviation is given as σ = $ 3204
So, the mean normal deviation is , μ = 26,489
and the standard deviation is, σ = 3204
Thus, the probability of the mean cost for sample schools is 0.1787
Some of Amber's daily activities are listed here. Use these descriptions to select the word or symbol that correctly completes each sentence. • Amber spends 3/16 of each day doing homework. • Amber spends 0.25 of each day at school. • Amber spends 1/3 of each day sleeping. (A) 3/16 of a day 0.25 of a day (B) 0.25 of a day 1/3 of a day (C) Amber spends time doing homework than she does at school. (D) Amber spends time sleeping than she does at school.
Answer: (D) Amber spends time sleeping than she does at school.
Step-by-step explanation:
Given that :
• Amber spends 3/16 of each day doing homework.
• Amber spends 0.25 of each day at school.
• Amber spends 1/3 of each day sleeping.
Hence,
Amber spends 0.1875 of a day doing homework, which is (0.1875 * 24) = 4.5 hours
0.25 of each day at school ; (0.25 * 24) = 6 hours
1/3 of each day sleeping ; (1/3 * 24) = 8 hours
Time spent sleeping = 8 hours
Time spent in school = 6 hours
Can somebody please help me answer this question?
Answer:
x = 60°
Step-by-step explanation:
Step 1:
Triangles = Equilateral Triangles Given
Step 2:
3x = 180 Equation
Step 3:
x = 180 ÷ 3 Divide
Answer:
x = 60°
Hope This Helps :)
please help me! i will give brainliest!
Answer:
Step-by-step explanation:
An equation is shown below:
4(2x - 5) + 15 = 11
Write the steps you will use to solve the equation and explain each step. (5 points)
in the box of decorations there are a number of four bubbles all of them are blue except for six of them are green except for six of them are red except for 6 how many bubbles do I have in total
Answer:
Step-by-step explanation:
But y’all don’t know where Megan at
y=4x+5 in point-slope form
Answer:
Step-by-step explanation:
Answer:
( 0, -1 ) and ( 1, -1 )
Step-by-step explanation:
I hope this helps you out!
3 power 4 x 9 power 2
Answer:
3⁴×9²
81×81
6561...............
The distance from Houston to
Galveston is about 50 miles. If there are
1.6 kilometers in a mile, what is the
distance from Houston to Galveston in
kilometers?
Answer:
distance from Houston to Galveston in kilometers will be: 80km
Step-by-step explanation:
Given
The distance from Houston to Galveston is about 50 miles.
i.e.
Kilometers in 1 Mile = 1.6 km
As the distance from Houston to Galveston is about 50 miles, so
The distance from Houston to Galveston in kilometers will be:
50(1.6) = 80 ∵ Kilometers in 1 Mile = 1.6 km
Therefore,
The distance from Houston to Galveston in kilometers will be: 80km
Points X and Z are on a number line, and point Y partitions
line XZ into two parts so that the ratio of the length of line
segment XY to the length of line segment YZ is 5:7. The
coordinate of X is 0.4, and the coordinate of Y is 5.8. What
is the coordinate of Z?
Answer:
The coordinate of [tex]Z[/tex] is 13.36.
Step-by-step explanation:
According to the statement, we have the following information:
[tex]\frac{XY}{XZ} = \frac{5}{12}[/tex] (1)
[tex]\frac{YZ}{XZ} = \frac{7}{12}[/tex] (2)
[tex]X = 0.4[/tex] (3)
[tex]Y = 5.8[/tex] (4)
From (2), we have the following expression:
[tex]YZ = \frac{7}{12}\cdot XZ[/tex]
[tex]Y-Z =\frac{7}{12}\cdot (X-Z)[/tex]
[tex]Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z[/tex]
[tex]Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z[/tex]
[tex]\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X[/tex]
[tex]5\cdot Z = 12\cdot Y-7\cdot X[/tex]
[tex]Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X[/tex] (5)
If we know that [tex]Y = 5.8[/tex] and [tex]X = 0.4[/tex], then the coordinate of [tex]Z[/tex] is:
[tex]Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)[/tex]
[tex]Z = 13.36[/tex]
The coordinate of [tex]Z[/tex] is 13.36.
y = 5x² + 3x
(Find the axis of symmetry and the vertex of the graph of the function)
Answer:
y = 5x² + 3x
(5x) x (5x) = 25x
y = 25x + 3x
25x + 3x = 28x
y =/= 28x
( =/= ) <---- is supposed to be the non equal sign
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
120
Step-by-step explanation:
solve for x then substitute
Answer:
m<WTS = 9 degrees
Step-by-step explanation:
<WTS = <TRS + <TSR By exterior <'s
14x-6=7x-9+66 Substitute
7x=63 Algebra
x=9
the soloutions to the equation 2x^2 + x - 1 = 2 are x= -3/2 or x=___
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
Subtracting 2 puts the equation in standard form:
2x^2 +x -3 = 0
The product of the solutions is the ratio of the constant term to the leading coefficient: -3/2.
For solutions -3/2 and 'p', we have ...
-3/2p = -3/2
p = 1
The other solution is x = 1.
Help please tysm guys <3
Answer:
5 is less than or equal to 5/2x+5
Step-by-step explanation:
It is less than or equal to because the shaded part is below the line and the line is solid.
Apply the distributive property to create an equivalent expression.
(10x+20y+10z)
Answer:
I think the answer is 40.
Step-by-step explanation:
Hector's family went to the beach. They got to the beach at 11:00 A.M. and swam in the ocean for 1 hour. Then they built sandcastles for 1 hour and 30 minutes and played volleyball for 1 hour before heading home. What time was it when Hector's family left the beach?
Answer:
They left the beach at 2:30
Step-by-step explanation:
The area of a rectangular park is same as area of a square park. If the length
of the rectangular park is 24.5 m and the side length of the square park is 14m,
find the breadth of the rectangular park?
Answer:
8mStep-by-step explanation:
Step one:
given data
length of rectangle= 24.5m
let the width be x
width of square= 14m
let the length be x
Step two:
we know that the area of a rectangle is
Ar= Length * width
Ar=24.5*x-----------1
Also, the area of the square is
As= Length * width
for square L=W
As= 14*14-----------------2
As=196m^2
equating 1 and 2 we have
14*14=24.5x
196=24.5x
divide both sides by 24.5
x=196/24.5
x=8m
The Breadth/width of the rectangular park is 8m
Your school wants to test the fire alarm system during the two hour period between 9:00 a.M. And 11:00 a.M. The probability of testing the fire alarm during this period is uniformly distributed that is X∼U(0,120). Find the probability that you have to wait more than 30 minutes, that is, find P(X>30).
Answer:
The probability is [tex]P(X>30)=0.75[/tex]
Step-by-step explanation:
We know that the probability of testing the fire alarm during this period is uniformly distributed that is [tex]X[/tex] ~ [tex]U(0,120)[/tex].
We need to find [tex]P(X>30)[/tex]
Given a continuous random variable [tex]X[/tex] with distribution :
[tex]X[/tex] ~ [tex]U(a,b)[/tex] , where ''[tex]a[/tex]'' and ''[tex]b[/tex]'' are real numbers
The probability density function is :
[tex]f_{X}(x)=\frac{1}{b-a}[/tex] if x ∈ (a,b)
[tex]f_{X}(x)=0[/tex] if x ∉ (a,b)
In the exercise we have [tex]X[/tex] ~ [tex]U(0,120)[/tex] , therefore the probability density function is :
[tex]f_{X}(x)=\frac{1}{120}[/tex] if x ∈ (0,120)
[tex]f_{X}(x)=0[/tex] if x ∉ (0,120)
If we want to find [tex]P(X>30)[/tex] we need to perform the integral
[tex]\int\limits^i_d {f_{X}(x)} \, dx[/tex]
Where [tex]d=30[/tex] and ''[tex]i[/tex]'' represents + ∞
Now, given that [tex]f_{X}(x)[/tex] is 0 when x ∉ (0,120), we will need to integrate between 30 and 120 to find the probability.
If we perform this integral ⇒
[tex]\int\limits^e_d {\frac{1}{120}} \, dx[/tex]
Where [tex]d=30[/tex] and [tex]e=120[/tex] ⇒
[tex]\int\limits^e_d {\frac{1}{120}} \, dx=\frac{3}{4}=0.75[/tex]
PLZ Someone help
Find the measure of angles 3 and 4
Answer: 3 =92
4 = 88
Step-by-step explanation: because angle 4 = 180-42+46 = 92 and angle 3 is 180-92 = 88
Answer:
∠3=88 , ∠4=92
Step-by-step explanation:
∠4 + 42° + 46° = 180° (angle sum property of a triangle)
∠4 + 88° = 180°
∠4 = 180° - 88°
∠4 = 92
∠3 + ∠4 = 180° (linear pair)
∠3 + 92° = 180°
∠3 = 180° - 92°
∠3 = 88°
Multiply mixed numbers 5 times 1 3/4=
Answer: 8.75 is your answer
Answer:
8 3/4
Step-by-step explanation:
Pick A Random Number Between 1-40 if i pick your number and you get it right then you get brainliest.
Answer:
32
Step-by-step explanation:
"-3 = 9/5c + 32" help with finding c pls!! i need it as a decimal btw.
Answer:
-3=9/5c +32
-3*5c=9/5c*5c+32*5c
-15c=9+160c
-15c -160c =9
c(-15-160)=9
c(-15-160)/(-15-160)=9/(-15-160)
c=9/(-15-160)
Which of these statements are correct? Select TWO that apply.
Answer:
3 and 1
Step-by-step explanation:
Answer:
last one and third to last one
Step-by-step explanation:
just trust me mate
what are the statements and reasons?
Answer:
A statement is an equation or expression describing the geometrical shape. The reason is the reason for that statement, like "Definition of a straight angle."
Step-by-step explanation: