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stich3 [128]
3 years ago
13

find the x-intercepts of the parabola with vertex(6,27) and y-intercept (0,-81). write answer in form (x1,y1)(x2,y2). if necessa

ry ,round to the nearest hundredth .
Mathematics
2 answers:
sergey [27]3 years ago
7 0
The vertex form of the equation is:
y = a ( x - h )² + k
- 81 = a ( 0 - 6 )² + 27
- 81 = 36 a + 27
- 108 = 36 a
a = - 108 : 36
a = - 3
y = - 3 ( x - 6 )² + 27
y = - 3 ( x² - 12 x + 36 ) + 27
y = - 3 x² + 36 x - 108 + 27
y = - 3 x² + 36 x - 81
y = - 3 ( x² - 12 x + 27 )
x² - 12 x + 27 = 0
x² - 9 x - 3 x + 27 = 0
x ( x - 9 ) - 3 ( x - 9 ) = 0
( x - 9 ) ( x - 3 ) = 0
x 1 = 3,  x 2 = 9
Answer:
The x-intercepts are ( 3, 0 ) and ( 9, 0 ).
Simora [160]3 years ago
6 0

Answer:

(8.33) , (236.67)

Step-by-step explanation:

This is correct

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A spherical balloon was inflated such that it had a diameter of 24 centimeters. Additional helium was then added to the balloon
DanielleElmas [232]
To solve this we are going to use the formula for the volume of a sphere: V= \frac{4}{3}  \pi r^3
where 
r is the radius of the sphere 

Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm, r= \frac{24}{2} =12. Lets replace that in our formula: 
V= \frac{4}{3} \pi r^3
V= \frac{4}{3} \pi (12)^3
V=7238.23 cm^3

Now, the second diameter of our sphere is 36, so its radius will be: r= \frac{36}{2} =18. Lets replace that value in our formula one more time:
V= \frac{4}{3} \pi r^3
V= \frac{4}{3} \pi (18)^3
V=24429.02

To find the volume of the additional helium, we are going to subtract the volumes:
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We can conclude that the volume of additional helium in the balloon is approximately <span>17,194 cm³.</span>
8 0
3 years ago
5×10 to the ninth power
nikklg [1K]

Answer:

5,000,000,000 or 1,953,125,000,000,000

Depends on what you mean

Step-by-step explanation:

If (5*10)^9

(50)^9

1,953,125,000,000,000

Or if 5 * (10)^9

5 * 1,000,000,000 = 5,000,000,000

4 0
3 years ago
Read 2 more answers
PLEASE ANSWER + BRAINLIEST!!
GrogVix [38]
That would be C

2 right angled triangles are formed
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3 years ago
Divide p(x)=x^3-4x^2+x+6 by (x-3). Find the remainder and the quotient.
klemol [59]

Answer:

Quotient is <u>x²</u><u> </u><u>-</u><u> </u><u>x</u><u> </u><u>-</u><u> </u><u>2</u>

<u>Remainder</u><u> </u><u>is</u><u> </u><u>0</u>

6 0
3 years ago
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