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Airida [17]
4 years ago
11

How do i solve this?

Mathematics
1 answer:
Goryan [66]4 years ago
8 0
For this, I got the equation (X+3)^2-2 or X^2+6X+7.  I used this method:

First I set up an equation (X+H)^2-K, where (K, H) is the vertex. All we have to do is find where the graph reaches its minimum value (because it opens upwards), then find the x-coordinate that lies there, which is (-2,3). Substituting these value in for H and K, we get the equation <span>(X+3)^2-2 or simplified X^2+6X+7.
</span>
:)

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A sphere has a volume of Vequals=3600 in cubedin3. Find its surface area.
Mice21 [21]
\bf \textit{volume of a sphere}\\\\&#10;V=\cfrac{4}{3}\pi r^3\qquad &#10;\begin{cases}&#10;r=radius\\&#10;------\\&#10;V=3600&#10;\end{cases}\implies 3600=\cfrac{4}{3}\pi r^3&#10;\\\\\\&#10;3600=\cfrac{4\pi r^3}{3}\implies \sqrt[3]{\cfrac{3\cdot 3600}{4\pi }}=\boxed{r}\\\\&#10;-----------------------------\\\\&#10;\textit{surface area of a sphere}\\\\&#10;S=4\pi r^2\implies S=4\pi \left(\boxed{\sqrt[3]{\cfrac{3\cdot 3600}{4\pi }}}  \right)^2

simplify away
8 0
3 years ago
If x = 3 cm and y = 2cm, what is the perimeter of the polygon
Virty [35]
Do you have a picture?? Maybe? I’m not good at these
4 0
3 years ago
A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E. There is a 10mi/h cross wind blowing due eas
Ksju [112]

Answer:

The actual speed = 27.12 mi/h

Direction = 36.5° in NE(north of east)

Step-by-step explanation:

As given , A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E.

⇒θ = 36°

Let v₀ be the constant speed, then v₀ = 20

Let vₓ be the speed in East direction

     v_{y} be the speed in North direction

So,

vₓ  = v₀ sin(θ) = 20 sin(36°) + 10 ( As given, There is a 10mi/h cross wind blowing due east.)

⇒vₓ  = 20(0.588) + 10 = 11.76 + 10 = 21.76 mi/h

and   v_{y}  = v₀ cos(θ) = 20 cos(36°) = 20(0.809) = 16.18 mi/h

Now,

the actual speed = √(vₓ)² + (v_{y})²

                            = √(21.76)² + (16.18)²

                            = √473.498 + 261.792

                            = √735.29 =  27.12

⇒The actual speed = 27.12 mi/h

Now,

Direction = θ = tan^{-1}(\frac{v_{y} }{v_{x} } ) = tan^{-1}(\frac{16.18 }{21.76 } ) =  tan^{-1}(0.74) = 36.5

⇒ Direction = 36.5° in NE(north of east)

7 0
3 years ago
The sum of two consecutive odd integers is 188. list the numbers from smallest to largest:
mixer [17]
X and x+ 2 equal 188
add all the like terms to get 2x+2=188
subtract 2 from each side
2x=186
divide by 2
x=93
so the numbers are 93 and 95

3 0
3 years ago
A cricket team has a 0.25 chance of losing
Westkost [7]

Answer:

a) 0.125

b) 0.015635

c) 0.00000095367431640625‬

Step-by-step explanation:

a) 0.25^2 = 0.125

b) 0.25^3 = 0.015625

c) 0.25^{10} = 0.00000095367431640625\\\\

8 0
3 years ago
Read 2 more answers
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