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GuDViN [60]
3 years ago
7

A volcano in the ocean rises approximately 14,000 feet above sea level. Its base is approximately 20,000 feet below sea level. W

hat is the total height of the volcano?
Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer:

6,000 feet

Step-by-step explanation:

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In which form is the following function written?<br><br> y+20=8(x+7)^2
Wewaii [24]

Answer:

  (a variation of) vertex form

Step-by-step explanation:

For vertical scale factor "a" and vertex (h, k), the vertex form of the equation for a parabola can be written as ...

  y = a(x -h)^2 +k

If k is subtracted from this equation, an alternate form is ...

  y -k = a(x -h)^2

This latter version of vertex form is the form your equation has, where ...

  • a = 8
  • (h, k) = (-7, -20)

7 0
3 years ago
The area of a triangle is 20 cm², and the
grandymaker [24]

Answer:

Heavenly,  we need the forumula for the area of a triangle, do you know it?

Step-by-step explanation:

Area of a triangle is (1/2 ) * B*H

where B = base

H = height

then

A = 1/2* B * H

A is given to be 20

B = b

H = b+4

plug all those into the formula,

20 = (1/2)*b*(b+4)

use your algebra skillz  :P

20 = 1/2 *( b^{2} + 4b)

20*2 = b^{2} + 4b

40 = b^{2} + 4b

0 = b^{2} + 4b-40

rewrite the above so it's in x format

x^{2} + 4x -40 = 0

use the quadratic formula to find  x  , and for our problem, remember that x represents the base,  or b,  but don't mix it up with the b in the quadatic fomula,  with the b of the triangle, which is the base,  they are differnt "b"s   :P

X = (b±\sqrt{b^{2}-4*a*c } ) / 2*a

a = 1

b = 4

c = -40

x = (4±\sqrt{4^{2}-4*1*(-40) }  ) /2*1

x = ( 4±\sqrt{16+160} ) / 2

x = (4±\sqrt{176} ) / 2

x = (4±13.266499)/2

x= 2±6.633249

x = 2 + 6.633249 = 8.633

b= 8.633 cm

5 0
2 years ago
5. Write 895,003,049 in expanded form.
aleksandr82 [10.1K]

Answer:

800,000,000 90,000,000 5,000,000 3,000 40 9

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
In a valid probability distribution, each probability must be between 0 and 1
snow_lady [41]

Answer:

i think it is going to be 16

Step-by-step explanation:

5 0
3 years ago
Use the change of variables s=x+3y, t=y to find the area of the ellipse x2+6xy+10y2≤1.
MArishka [77]

t=y\implies s=x+3t\implies x=s-3t

Then

x^2+6xy+10y^2=(s-3t)^2+6(s-3t)t+10t^2=s^2+t^2\le1

which is a disk of radius 1, hence with area \pi.

5 0
3 years ago
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