Select the possible dimensions of a rectangular prism with volume of 72 cubic meters . HInt: V = B x h (Area of base times the h
1 answer:
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Answer:
a. 10x + 2y = 23
b. 4x - y + 3 = 0
c. y + 8 = 0
d. 2x - y + 4 = 0
Step-by-step explanation:
a.
Slope of the line 'm' is =
= -5
Equation of the line with slope m and passing through the point (x₁,y₁) is y-y₁ = m·(x-x₁)
⇒y-1.5 = -5·(x-2)
⇒y = -5x + 10 + 1.5
⇒<u>5x + y = 11.5</u> (or) <u>10x + 2y = 23</u>
b.
Slope of the line 'm' = 4
Equation of the line with slope m and passing through the point (x₁,y₁) is y-y₁ = m·(x-x₁)
⇒y-15 = 4·(x-3)
⇒y = 4x -12 + 15
⇒<u>4x - y + 3 = 0</u>
c.
Line is parallel to y = 1
Equations of parallel lines only differ by constant. So the required line equation has the form y = c where c is any real number.
But, it is given that the line passes through the point (3,-8)
⇒c=-8
⇒<u>y = -8</u> (or) <u>y + 8 = 0</u>
d.
Equation of a line with slope 'm' and y-intercept of (0,c) is of the form y = mx + c
⇒y = 2x + 4
⇒<u>2x - y + 4 = 0</u>