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3 years ago

What is the range of y =5/2(x-2)² - 4

Mathematics

1 answer:

blagie [28]3 years ago

7 0

Answer:

vertex:(2,-4)

Focus:(2,- $\frac{39}{10}$ )

Axis of symmetry :x=2

Directrixt: y=- $\frac{41}{10}$

Step-by-step explanation:

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A cone has a base with a radius of 9 mm and a height of 13 mm. What is the volume of the cone?

avanturin [10]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - a cone with base radius 9mm and height 13 mm

To calculate - volume of the cone

We know that ,

$Volume \: of \: cone = \frac{1}{3}\pi \: r {}^{2} h \\$

substituting the values in the formula ,

$Volume = \frac{1}{3} \times 3.14 \times 9 \times 9 \times 13 \\ \\ \implies \: 1.05 \times 81 \times 13 \\ \\ \implies \: 1105.65 \: mm {}^{3}$

hope helpful ~

7 0

1 year ago

Find limit as x approaches two of quantity x squared minus four divided by quantity x minus two. You must show your work or expl

Brut [27]

Answer:

Step-by-step explanation:

lim (x^2 - 4) / (x - 2)

x --> 2

When we plug x =2, we get

(2^2 - 4) / (2 - 2)

= (4 - 4)/(2 - 2)

= 0 /0

Which is undefined.

Now we have to use L'hospital rule. Which says we need to differentiate the numerator and the denominator and apply the limit.

When we differentiate x^2 -4, we get 2x

When we differentiate x -2, we get 1

lim 2x/1

x --> 2

Now apply, the limit x = 2

2(2)/1

= 4/1

= 4

Therefore, limit of this function is 4, when x tends to 2.

Hope you will understand the concept.

Thank you.

3 0

2 years ago

Read 2 more answers

Mr.russo exchanged 200 euros (European money) for 270 dollars. how many dollars would he get for 300 euros

Damm [24]

Answer:

Mr Russo exchanged 200 euros for 270 dollars.how man dollars would he get for 300 euros 1 See answer lansdownem is waiting for your help. Add your answer and earn points. ... 200 * x = 270 * 300. divide each side by 200. x = 270 * 300/200. x =405 dollars. Can you answer this one a company manufactures two products. Market research and available ...

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Consider the following graph of a linear function.

HACTEHA [7]

Answer:

I don't see a picture, did you add one? ill wait for your response

Step-by-step explanation:

3 0

2 years ago

Given: ΔPSQ, PS = SQ PΔPSQ = 50 SQ – PQ = 1 Find: Area of ΔPSQ

Pachacha [2.7K]

The first part is to find the length SQ which is equal to SP.
Use the sine rule.
SQ/sin 65 = (SQ - 1)/Sin50
(sin50)/(sin 65) = (SQ-1)/SQ
0.8452(SQ) = SQ-1
0.1547SQ = 1
SQ = 6.46
The formula to apply here is:
Area=1/2(SQ)(SQ)sin50
= 0.5 × 6.46 × 6.46 × sin50
= 15.984

3 0

2 years ago