The equation of a line is 2x + 3y = Select three
lines that are parallel to the given line.
Answer:
The three lines that are parallel to the Given line are :
2x + 3y = 2
9y = -6x + 15
3y = -2x + 12
Step-by-step explanation:
The exact question is as follows :
Given - The equation of a line is 2x + 3y = 4.
To find - Select three lines that are parallel to the given line.
A) 2x + 3y = 2
B) 2x + 5y = 15
C) 9y = -6x + 15
D) 3y = -2x + 12
E) 3x - 2y = 15
Solution -
We know that,
If the slopes are the same and the y-intercepts are different, the lines are parallel.
Given that,
The given line is 2x + 3y = 4
⇒3y = -2x + 4
⇒y = -(2/3)x + (4/3)
So,
Slope = -(2/3)
y-intercept = (4/3)
Now,
A.)
2x + 3y = 2
⇒3y = - 2x + 2
⇒y = -(2/3) + (2/3)
So,
Slope = -(2/3)
y-intercept = (2/3)
By Comparing with the given line's slope and y-intercept
We can see that
slope is same but y-intercept is different
So,
2x + 3y = 2 is parallel to the given line.
Now,
B.)
2x + 5y = 15
⇒5y = - 2x + 15
⇒y = -(2/5) + (15/5)
So,
Slope = -(2/5)
y-intercept = 3
By Comparing with the given line's slope and y-intercept
We can see that slope is different
So,
2x + 5y = 15 is not parallel to the given line.
C)
9y = -6x + 15
⇒y = -(6/9)x + (15/9)
= -(2/3)x + (5/3)
⇒y = -(2/3)x + (5/3)
So,
Slope = -(2/3)
y-intercept = 5/3
By Comparing with the given line's slope and y-intercept
We can see that slope is same and y-intercept is different
So,
9y = -6x + 15 is parallel to the given line.
D)
3y = -2x + 12
⇒y = -(2/3) + (12/3)
So,
Slope = -(2/3)
y-intercept = 4
By Comparing with the given line's slope and y-intercept
We can see that slope is same and y-intercept is different
So,
3y = -2x + 12 is parallel to the given line.
E)
3x - 2y = 15
⇒-2y = -3x + 15
⇒2y = 3x - 15
⇒y = (3/2) - (15/2)
So,
Slope = 3/2
y-intercept = -15/2
By Comparing with the given line's slope and y-intercept
We can see that slope is different
So,
3x - 2y = 15 is not parallel to the given line.
∴ we get
The three lines that are parallel to the given line are :
2x + 3y = 2
9y = -6x + 15
3y = -2x + 12
Find the volume of this right rectangular
prism.
4 cm
4 cm
4 cm
[ ? ]cm3
Answer:
V = 64 cm^3
Step-by-step explanation:
Volume is length times width times height
V = l*w*h
V = 4*4*4
V = 64 cm^3
Answer:
64
Step-by-step explanation:
4x4x4=64
HELP PLEASE!!! NO FLIES OR LINKS
given rhombus ABCD , find the measure of the indicated angle in degrees
Answer:
61
Step-by-step explanation:
180 - 119 =
Perimetrul unui dreptunghi este de 400 m, iar latimea este de 3 ori mai mica decat lungimea acestuia. Cati metri are lungimea dreptunghiului?
Răspuns:
150 m
Explicație pas cu pas:
Reamintim:
Perimetrul unui dreptunghi, P
P = 2 (lungime + lățime)
P = 400
Lățime = x
Lungime = 3x
Astfel, avem:
400 = 2 (3x + x)
400 = 2 (4x)
400 = 8x
Împărțiți ambele părți la 8
50 = x
Lungime = 3x
Lungime = 3 * 50
Lungime = 150 m
What is the distance between the points (2,4) and (9,9)?
Answer:
I think it is (7,5)
Step-by-step explanation:
Darcy sold lemonade in rhe summer. Lemonade is her favorite summertime drink. 1/2 of her recipe is fresh lemons . 1/3 of her recipe is sugar. The rest of the recipe is water. What fraction of the recipe is water
Answer:
1/6
Step-by-step explanation:
fraction of water = 1 - (1/2 + 1/3)
)[tex]\frac{1}{2} + \frac{1}{3}[/tex]
[tex]\frac{3 + 2}{6}[/tex]
5/6
1 - 5/6
6/6 - 5/6 = 1/6
solve for x rounding to nearest tenth
HELP PLEASEIWJDO!NWDIOJQWILD
Answer:
5.66
Step-by-step explanation:
(-1,-3) (-5,1)
√(x2 - x1)² + (y2 - y1)²
√[-5 - (-1)]² + [1 - (-3)]²
√(-4)² + (4)²
√(16) + (16)
√32
= 5.66
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 41 months and a standard deviation of 5 months. Using the empirical rule (as presented in class), what is the approximate percentage of cars that remain in service between 46 and 51 months
Answer:
15.85%
Step-by-step explanation:
Empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviation and 99.7% falls within three standard deviation.
Given mean (μ) = 41 months, standard deviation (σ) = 5 months
One standard deviation = μ ± σ = 41 ± 5 = (36, 46)
Therefore 68% falls within 36 months and 41 months
Two standard deviation = μ ± 2σ = 41 ± 2(5) = (31,51)
Therefore 95% falls within 31 months and 51 months
Three standard deviation = μ ± 3σ = 41 ± 3(5) = (26, 56)
Therefore 99.7% falls within 26 months and 56 months
The percentage of cars that remain in service between 46 and 51 months = 32%/2 - 0.3%/2 = 16% - 0.15% = 15.85%
Use the equation 135 x 42 = 5.670 and what you know about fractions, decimals, and place value to explain how to place the decimal point when you compute 1.35 x 4.2
Answer:
5.670
Step-by-step explanation:
To compute 1.35 x 4.2
First, we need to convert both decimals to fraction
1.35 = 135/100
4.2 = 42/10
Taking the product
1.35 x 4.2
= 135/100 * 42/10
= (135*42)/(100*10)
= 5670/1000
= 5.670
Hence the product of both numbers is 5.670
will give brainlist, pls help lol
Answer:
D, 144
Step-by-step explanation:
Find x first by solving 9x+27=6x+66, and plug x in to the angle RSL.
I had $36. I spent 1/2 of my money on Thursday and 2/3 of the remainder on Wednesday. How much money did I have left?
Where are you genius people? I know you hella smart
Answer:
$12
Step-by-step explanation:
Half of $36 would be $18. $18 divided by 3 would be $6. $6 times 2 would be $12. Half comes from the 1/2 of money spent on Thursday. Dividing it by 3 comes from the remainder on Wednesday. We divide it by 3 since the denominator of 2/3 is 3. We then multiply it by 2, since the numerator in 2/3 is 2.
Pls help me with this
Answer:
102 degrees
Step-by-step explanation:
Since the total of all the angles inside a triangle must be 180 degrees, we can find out the value of x using a simple equation.
41+37+x = 180
78 + x + 180
x = 102
Select the values that make the inequality n > -8 true.
(Numbers written in order from least to greatest going across.)
Answer:
9
Step-by-step explanation:
I'm somewhat confused I think you're forgot to put so more information
The value that makes the inequality n > -8 true will be -2. Thus, the correct option is A.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below:
n > -8
The value of n is greater than -9. Then the value that makes the inequality n > -8 true will be -2.
Thus, the correct option is A.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
The missing options are given below.
a) - 2
b) - 9
c) - 10
d) - 20
I need help with this asap please
Answer:
A
Step-by-step explanation:
Total amount of faces of object = 6
Surface area = length x height
2(4*10) + 2(10*17) + 2(4*17)
=2(40) + 2(170) + 2(68)
= 80 + 340 + 136
= 556cm^2
Yolanda receives a $1,000 dollar raise each year from her starting salary of $40,800.
After 10 years, how much total gross income will she have earned for all 10 years?
For example: $40.800 in year one, $41,800 in year two etc.
helppp
Answer:50,400
Step-by-step explanation:
When 3 is subtracted from one third of a number n, the result is less than 6. Which inequality and solution represent this situation?
Answer:
1/3n-3÷6
Step-by-step explanation:
3 is subtraced form 1/3
Answer:
n < 27
Step-by-step explanation:
1/3n - 3
1/3n - 3 < 6
Add 3 to each side.
1/3n - 3 + 3 < 6 + 3
Combine like terms.
1/3n < 9
Divide each side by 1/3.
1/3n ÷ 1/3 < 9 ÷ 1/3
Combine like terms.
n < 27
Two sides of a right triangle have lengths of 2 centimeters and 5 centimeters. The third side is NOT the hypotenuse. How long is the third side?
Answer:
About 1.625
Step-by-step explanation:
I believe it is 1.625
( 2^2 + b^2 = 5^2 )
help me with this the question is in the picture
Answer:
28:12
Step-by-step explanation:
You multiply both sides by the same number to increase a ratio, the only one you can do this with is 28:12 by multiplying the original ratio by 4
solve the inequality t/4 > 7
Answer:
t > 28
Step-by-step explanation:
Given
> 7 ( multiply both sides by 4 to clear the fraction )
t > 28
Answer:
[tex]t > 28[/tex]
Step-by-step explanation:
Multiply both sides of the inequality by 4:
[tex]4 \times \frac{t}{4} > 4 \times 7[/tex]
Reduce the number with the greatest common factor 4:
[tex]t > 4 \times 7[/tex]
Multiply the number:
[tex]t > 28[/tex]
Find h.
11 in.
h = [?] in
in.
14 in.
PLEASE OH PLEASE HELP ME IM DESPERATE
11^2 = h^2 + ( 14/2)^2
11^2 = h^2 + 7^2
121 = h^2 + 49
h^2 = 121 - 49
h^2 = 72
h = √72
-2x + 4 = 3
how would you solve this problem?
Find the exact value of the following trig ratio given the triangle.
Answer:
9
Step-by-step explanation:
Lines s and t intersect so that the measure of ∠1 is 85 °. If ∠2 is a supplement to ∠1, what is the measure of ∠2?
Answer:
95 degrees
Step-by-step explanation:
Given AE and BD bisect each other at point c, which congruence theorem would you use to prove triangle ABC =~ triangle EDC ?
Solve for x in the following proportion?
1.6
722.5
0.4
10
Answer:
option D. 10
Step-by-step explanation:
[tex]\frac{34}{85} = \frac{4}{x}\\\\34 \times x = 4 \times 85\\\\x = \frac{340}{34} = 10[/tex]
Answer:
x = 10
Step-by-step explanation:
[tex] \dfrac{34}{85} = \dfrac{4}{x} [/tex]
Cross multiply.
34x = 4 × 85
34x = 340
Divide both sides by 34.
x = 10
solve the equation x - 4 = -3 help yall-
Answer:
x = 1
Step-by-step explanation:
x - 4 = -3
(add 4 to both sides)
x - 4 + 4 = -3 + 4
x = 1
Answer:
x = 1
Step-by-step explanation:
So you have to separate the x from the rest of the equation
so you can add 4 to both sides so x is by itself
so ur left with:
x = -3 + 4
and that is equal to x = 1
Hope that helps :)
how to get easy points: make two acounts, on the second acount answer random question to get points, then make questions that have a lot of points, on the first acount answer the questions that you made. repeat.
Answer:
the bro ik
Step-by-step explanation:
yup yup yup bri
Answer:
heyyyy
Step-by-step explanation:
Please help!!!
If O is the center of the circle, what can you conclude from the diagram?
Answer:
H. AB < AD
Step-by-step explanation:
_________________
What is the volume, in cubic in, of a cylinder with a height of 12in and a base radius of 6in, to the nearest tenths place?
Answer: Therefore, the volume of cylinder is 1356.5 cubic inches.
Step-by-step explanation: First I took an ESTIMATE and then after I did my estimate I did the real deal, I took everything I knew and put it all together.
Answer:
12*8.49*8.49 = 8649612in^3
Step-by-step explanation: