Answer:
D. Y= -5/3x
Step-by-step explanation:
The starting point of the equation is (0,0), therefore no value is being added to it, to find the slope you just have to do rise over run, since the line is going down from left to right, the slope has to be negative. Hope this helped
Cavalieri's Principle states that the volume of an oblique cylinder is equal to the product of the area of the base and the height. Mathematically, this can be expressed as,
volume = Bh
V = (πD²/4)h
where D is diameter and h is the height. Substituting the known values from the given above,
486 cm³ =((π)(9 cm)²/4) x h
The value of h from the generated equation is equal to 7.64 cm. Thus, the height of the oblique cylinder is approximately 7.64 cm.
Solution for 1/5(5x+12)=18 equation:
<span>x in (-oo:+oo)
(1/5)*(5*x+12) = 18 // - 18
(1/5)*(5*x+12)-18 = 0
1/5*(5*x+12)-18 = 0
1/5*(5*x+12)-18 = 0
x-78/5 = 0
x-78/5 = 0
x-78/5 = 0 // + 78/5
x = 78/5
x = 78/5
</span>
Answer:
-33/10z - 11
Step-by-step explanation:
since all of these terms are being added, there are no need for the parenthesis
-7/2z +4 + 1/5z -15
add like terms (to add the fractions, convert them to a common denominator)
-7/2z + 4 + 1/5z - 15
-35/10z + 2/10z - 11
-33/10z - 11
Answer:
The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the line
3x - 4y = 7
writing in the slope-intercept form
4y = 3x - 7
dividing both sides by 4
4y/4 = 3/4x - 7/4
y = 3/4x - 7/4
Now, comparing with the slope-intercept form of the line equation
y = 3/4x - 7/4
The slope of the line m = 3/4
We know that parallel lines have the same slopes.
Therefore, the slope of the parallel line is: 3/4
now we have,
The point (-4, -2)
The slope m of parallel line = 3/4
Given the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting (-4, -2) and m = 3/4 in the point-slope form of line equation


Thus, the equation in the point-slope form of the line equation is:

Simplifying the equation

Subtract 3 from both sides


Multiplying the equation by 4


Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are: