The equation of a line that is parallel to 3x=4y and has the same y-intercept as 2x-3y=6 is:
y = (3/4)*x - 2
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</h3><h3>
How to get the equation of the line?</h3>
A general linear equation is written as:
y = a*x + b
Where b is the y-intercept and a is the slope.
Such that two lines are parallel if the lines have the same slope but different y-intercepts.
So, if we want to have a line parallel to:
3x = 4y
y = (3/4)*x
Then the slope must be 3/4.
And the line must have the same y-intercept than:
2x - 3y = 6.
We can rewrite that to get:
-3y = 6 - 2x
y = (6/-3) + (2/3)*x
y = (2/3)*x - 2
So this linear equation has a y-intercept equal to -2, then our linear equation is:
y = (3/4)*x - 2
If you want to learn more about linear equations:
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Answer:
C. 9
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
<span>x = number of domestic stamps
y = number of foreign stamps
Malik
collects rare stamps and has a total of 212 stamps.
=> x + y = 212
he has 34 more
domestic stamps than foreign stamps.
=> x = y + 34
which
equation represents the total number of stamps malik collected?
x + y = 212
which
equation represents the difference in the number of foreign and domestic
stamps malik collected?
x - y = 34
which system of linear equations represents the
situation?
x + y = 212
x - y = 34
</span>
Answer:Move −25-25.
10a+5b−25
Step-by-step explanation:
Answer:
the radius of the sphere is 12 cm.
Step-by-step explanation:
IN A CONE
vertical height (h) = 27 cm
radius (r) = 32 / 2 = 16 cm
Now the volume of cone is
= 1/3 *h*π*r²
= 1/3 * 27 *π *16²
= 2304π cm³
Also by the question the cone and the sphere have equal volumes so
volume of sphere = volume of cone
= 2304 π cm³
OR, 4/3 πr³ = 2304 π
4/3 * r³ = 2304
r³ = 2304 * 3 / 4
r³ = 1728
r = ∛1728
r = 12 cm
hope it helps :)
