Solving for y, we add 5y to both sides and subtract 4, getting 9x-4=5y. Dividing both sides by 5, we get 9x/5-4/5=y. Since the slope is 9/5 (since 9/5*x=9x/5), we multiply it by -1 and find the reciprocal of it to get -5/9 as the perpendicular slope, so -5x/9+b=y. Plugging 1 in for x and -6 in for y, we get -5*1/9+b=-6 and by adding 5/9 to both sides we get -5-4/9=b , and since in y=mx+b y and x are variables, we end up with y=-5x/9+(-5-4/9) for slope intercept form.
To get it into standard form, we need it in ay+cx=b with a, b, and c being constants. Adding 5x/9 to both sides, we end up with y+5x/9=(-5-4/9) for standard form
Answer:
y = 0.75x + 2 ft
x = 24 yrs
Step-by-step explanation:
slope is (9/12) = 0.75 ft/yr
Y intercept is original height of tree 5 - 4(0.75) = 2 ft
y = 0.75x + 2
20 = 0.75x + 2
18 = 0.75x
x = 24 yrs
Answer: 2.3
Step-by-step explanation:
=
x
1.8
\cos 40=\frac{1.8}{x}
cos40=
x
1.8
x\cos 40=1.8
xcos40=1.8
Cross multiply.
\frac{x\cos 40}{\cos 40}=\frac{1.8}{\cos 40}
cos40
xcos40
=
cos40
1.8
Divide each side by cos 40.
x=\frac{1.8}{\cos 40}=2.3497\approx 2.3\text{ feet}
x=
cos40
1.8
=2.3497≈2.3 feet
The snowman is made of 3 spheres (balls) of snow. The diameters, from top to bottom, are 12, 16, 18 inches
Therefore, the radii of the 3 spheres are, respectively, 6, 8, and 9 inches.
The volume of a sphere of radius, r, is given by the formula: V = 4/3 π r3
So, the total volume of snow is the sum of the 3 volumes: V = 4/3 π (63 + 83 + 93)
= 4/3 π (1,457)
=6,099.97
Your answer would be D. 6,099.97
I hope this helps!
