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3 years ago

Identify this conic section. 9x 2 + 4y 2 = 36

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

4 0

Divide: 9x 2/36 - 4y 2/36 = 36/36. Simplify: x2/4 - y2/9 = 1. Then do (x-0) 2/4 - (y-0)2 =1. Hyperbola.

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If you add 21 to my number and then multiply the result by 3, you will get 84 more than two-thirds of my number. Find my number.

Ksivusya [100]

Based on the calculations, the unknown number is equal to $\frac{-45}{7}$

Let the unknown number be x.

<h3>How to find an unknown number:</h3>

Translate the word problem into an algebraic expression, we have;

Adding 21 to the unknown number:

$21 +x$

Multiplying the result by 3:

$3\times (21+x)$

84 more than two-thirds of the unknown number:

$\frac{2x}{3} +84$

Equating the equations, we have:

$3\times (21+x) = \frac{2x}{3} +84\\\\43+3x=\frac{2x}{3} +84$

Cross-multiplying, we have:

$43+3x=\frac{2x}{3} +84\\\\129+9x=2x+84\\\\9x-2x=84-129\\\\7x=-45\\\\x=\frac{-45}{7}$

Read more on word problems here: brainly.com/question/13170908

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2 years ago

Im getting brain damage doing this question pls help

EastWind [94]

Answer:

See below and attachment

Step-by-step explanation:

Given function:

y = -2(x - 3)² + 4

The graph is attached and the axis of symmetry and all the required points plotted

a) Axis of symmetry:

x = 3

b) It has no minimum as the leading coefficient is negative.

Maximum value is at vertex- the point (3, 4).
Maximum value is y = 4

c) and d) x - and y - intercepts already given in the question

e) Domain is all real numbers. x = ( -∞, +∞ )

Range is y = ( - ∞, 4]

4 0

2 years ago

Part a:Create a table to show how the number of days is related to the number of hours.Show at least 5 days.

Usimov [2.4K]

On part a you just create a table so you go 1 day is 24 hrs and two days is 48 hrs and then for part be the answer is yes and in part c it would be k=1/24x

6 0

2 years ago

Read 2 more answers

Simplify 2n - 7+3(4n-3) A.14n-16 B. -14n+12 C.-14n-13 D.14n-10

Hoochie [10]

Simplifying 2n + -7 + 3(4n + -3) = 0 Reorder the terms: 2n + -7 + 3(-3 + 4n) = 0 2n + -7 + (-3 * 3 + 4n * 3) = 0 2n + -7 + (-9 + 12n) = 0 Reorder the terms: -7 + -9 + 2n + 12n = 0 Combine like terms: -7 + -9 = -16 -16 + 2n + 12n = 0 Combine like terms: 2n + 12n = 14n -16 + 14n = 0 Solving -16 + 14n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 14n = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 14n = 0 + 16 14n = 0 + 16 Combine like terms: 0 + 16 = 16 14n = 16 Divide each side by '14'. n = 1.142857143 Simplifying n = 1.142857143

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3 years ago

A certain corporation listed their sales in 100s as 1,700. What was their actual volume in thousands?

svp [43]

Answer: 170

Step-by-step explanation:

Based on the problem, you know that this corporation listed their sales in 100s as 1,700. This means that, to calculate their actual volume in thousands, you need to multiply 1,700 by 100 and divide the product by 1,000.

Let be "x" their actual volume in thousands.

Therefore, applying the corresponding procedure, you get that the value of "x" is the following:

$x=\frac{(1,700)(100)}{(1,000)}\\\\x=\frac{170,000}{1,000}\\\\x=170$

4 0

3 years ago