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Stels [109]
3 years ago
5

Shortest distance to the origin y=1/2x^2 -4

Mathematics
1 answer:
IrinaK [193]3 years ago
6 0
X=0 y=-2
y=0 x=4

The shortest distance has to be the perp bisector from origin to the midpoint of the line.
midpoint =(2,-1)  and distance from the (0,0) origin is sqrt(5) hence, sqrt(5).

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angle, a and angle, b are complementary angles. angle a measures 22, degrees. What is the measure of angle b?
Natali [406]

Answer:

158 degrees is angle b I think so

7 0
3 years ago
Help plz:))) I’ll mark u brainliest
egoroff_w [7]

Answer:

Im pretty sure it is c

Step-by-step explanation:

it gives us 2 angles add up to 180, but they are right next to each other. So we cant determine parallel lines.

Can i have brainliest now? im trying to work up the ranks

6 0
2 years ago
There were 50 students in the chess club. The membership went up by 10%. How many more students joined the club?
Vlad [161]
10% of 50 is 5.

Therefore 50+5=55

Your answer is 5
7 0
3 years ago
If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b
strojnjashka [21]
Surface area of box=1200 cm² 
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
 = the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>


<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>

by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>


<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000 
v=4000</span>
4 0
3 years ago
Andy buys shoes that are on sale for 25% off the regular price. If the sale price is $36.45, what was the regular price of the s
Anettt [7]
She bought the shoe at a percent of 25
5 0
3 years ago
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