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Galina-37 [17]
3 years ago
14

Find the axis of symmetry for this parabola:

Mathematics
1 answer:
lara31 [8.8K]3 years ago
6 0

Answer:

x = - 1

Step-by-step explanation:

The equation of the axis of symmetry for a parabola in standard form

y = ax² + bx + c : a ≠ 0 is found using

x = - \frac{b}{2a}

y = - x² - 2x - 5 ← is in standard form

with a = - 1 and b = - 2, thus equation of axis of symmetry is

x = - \frac{-2}{-2} = - 1

Equation of axis of symmetry is x = - 1

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Find the measure of the angle formed between the base of the cone and a line segment that represents the slant height
wel

Since there are no figures given, I will give an example. 


You are given a silo that is shaped as a closed cylinder with a conical end. The diameter of the silo is 4 ft, the length of the cylindrical part is 6 ft, and the entire length of the silo is 10.5 ft. Suppose that you are asked to find the total volume of grains that can be stored in the silo.

Given:

Cylinder part

D = 4 ft

H = 6 ft

Cone part

H = 10.5 – 6 = 4.5ft

D = 4ft


Required:

Volume of silo


Solution:
V of cylinder = πr²H

V of cylinder = π(4/2)²(6)

V of cylinder = 75.4 ft³


V of cone = πr²H/3

V of cone = π(4/2)²(4.5/3)

V of cone = 18.85 ft³

Total volume = 94.25 ft³

6 0
3 years ago
Liz was on vacation when her wallet was stolen. By the time she reported her 3 credit cards missing, the criminal had charged ov
tamaranim1 [39]
Liz would have to pay $45,000. 3 x 15,000 = 45,000. Hope this helps
7 0
3 years ago
Read 2 more answers
PLASE NEED HELP FAST
icang [17]

Answer:

Step-by-step explanation:

w / h = u / HG

w = 8

h = 48

u = 5

lets use  h / w  = HG / u   this is the same relationship but looks easier to me

48/8 = HG / 5

6 = HG / 5

6 * 5 = HG

30 = HG

not too tuff... when you set the relationship so it's easiest  :)

and yes.. we cold have swapped the fractions and done it the other way and gotten the same answer.. but maybe with a bit more algebra.. and... avoid extra algebra ... that's where the mistakes can be made  :P

8 0
3 years ago
A cone is 3 inches high and has a base with a surface area of 7 square inches. What is the volume of the cone?
lawyer [7]

Answer: the answer should be 7

Step-by-step explanation:  V=πr2h

3=π·1.52·3

3≈7.06858

you can find the radius for the area of the base 7 by dividing by \pi like such 7/3.1459 the squared because remember its in r2 form which give you 1.5 then plug this in for one of two ways to solve A·\pi 1/3 or V=πr2h

4 0
3 years ago
The length of a rectangle is twice its width. if the perimeter is 72 meters, find the length and width of the rectangle
madam [21]
Length(l)= 2w
width(w)= w

Perimeter(P)= 2w+2l= 72 (simplify expression: divide each side by 2 )
P= w+l= 36 (plug in "2w" for "l")
P= w+(2w)= 36
P= 3w= 36 (divide each side by 3 to find the width)
w= 12 units

find length:
l=2w
l= 2(12)
l= 24 units

Answer:
The length of this rectangle is 24 units and the width is 12 units.
6 0
3 years ago
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