Answer:
(350 , 600)
just divide the miles by time
Answer:
x = -3, y = 24
Step-by-step explanation:
y=−7x+3;y=−8x
Step: Solve y=−7x+3 for y:
y=−7x+3
Step: Substitute−7x+3 for y in y=−8x:
y=−8x
−7x+3=−8x
−7x+3+8x=−8x+8x(Add 8x to both sides)
x+3=0
x+3+−3=0+−3(Add -3 to both sides)
x=−3
Step: Substitute−3 for x in y=−7x+3:
y=−7x+3
y=(−7)(−3)+3
y=24(Simplify both sides of the equation)
<u>3</u><u>⁴</u> = 3² (9)
3²
By subtracting the exponents due to the similar bases.
The number equivalent is 9.
The standard equation of a line is y = mx + b thus the final form of the resulting equation should be in this form. Parallel lines are lines with similar or equal slopes (same degree of inclination and direction) so the unknown equation of this line should have a slope of 1/10 as well. To use the point given, another equation form is to be used that is y-y1 = m(x-x1) where (x1,y1) is the point coordinate and m is the slope. Substituting,
y + 7 = 1/10 *(x-4)
Simplifying,
y +7 = 1/10 x - 2/5
y = 1/10 x - 37/5
Multiplying the overall equation by 10,
10 y = x - 74
Cylinder A -
Surface Area:
<em>A = 2πrh + 2πr^2</em>
<em>A = 2 · π · 5 · 7.5 + 2 · π · 25 ≈ 392.69908</em>
<em>A = </em>392.7 cm^2
Volume:
<em>V = πr^2h</em>
<em>V = π · 25 · 7.5 ≈ 589.04862</em>
<em>V = </em>589 cm^3
Cylinder B -
Surface Area:
<em>A = 2πrh + 2πr^2</em>
<em>A = 2 · π · 3.5 · 5 + 2 · π · 12.25 ≈ 186.92476</em>
<em>A = </em>186.9 cm^2
Volume:
<em>V = πr^2h</em>
<em>V = π · 12.25 · 5 ≈ 192.42255</em>
<em>V = </em>192.4 cm^3
