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2 years ago

Let be an angle in standard position. Name the quadrant in which lies. cos >0, cot >0

Mathematics

1 answer:

Alexeev081 [22]2 years ago

4 0

Answer:

Quadrant I

Step-by-step explanation:

The quadrants where $cos\theta>0$ are Quadrant I and Quadrant IV. Since $cot\theta=\frac{cos\theta}{sin\theta}$ and $sin\theta$ is positive in Quadrant I, then Quadrant I will contain values of $\theta$ where $cos\theta>0$ and $cot\theta>0$

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Which of the following represents a quadratic function?

Lubov Fominskaja [6]

Answer:

○ $y = 6 + 5x + x^2$

Explanation:

<h3>What is a quadratic equation?</h3>

A quadratic equation is an algebraic equation where the highest power of $x$ is 2. The general form of a quadratic equation is as follows:

$\boxed{ax^2 + bx + c = 0}$ ,

where a, b, and c represent known constants, and $x$ is the unknown.

In this question, if you take a look at the second option, you will see that it is possible to rearrange the equation to make it look the general form:

$y = 6 + 5x + x^2$

⇒ $y = x^2 + 5x + 6$

Therefore, this equation is quadratic.

The other three options are not quadratic equations because none of them have an $x^2$ term in them.

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2 years ago

Read 2 more answers

A kennel owner has 400 feet of fencing to enclose a rectangular dog exercise pen. Express the area of the exercise pen, A, as a

DENIUS [597]

Answer:

A(x) = x(200-x)

Step-by-step explanation:

400 feet of fencing to enclose a rectangular dog exercise pen means the perimeter of rectangle is 400 feet

If x is length and y is breadth. Perimeter is given by :

P = 2(x+y)

400 = 2(x+y)

⇒ (x+y) = 200 .....(1)

y = 200-x

Area of a rectangle is given by :

A = xy

A(x) = x(200-x)

Hence, the area as a function of length of rectangle is x(200-x).

3 0

3 years ago

A collection of 77 quarters and dimes is worth $12.50. How many quarters are in the collection? PLS HELP ILL GIVE YOU BRAINLEST

mrs_skeptik [129]

Answer:

Step-by-step explanation:

77 quarters and dimes

q + d = 77

subtract q from both sides

d = 77 - q

---------------------------

A collection of quarters and dimes is worth $12.50 (1250 cents)

25q + 10d = 1250

substitute for d

25q + 10(77 - q) = 1250

distribute

25q + 770 - 10q = 1250

Combine like terms

15q + 770 = 1250

subtract 770 from both sides

15q = 480

divide both sides by 15

q = 32

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2 years ago

4,8,16,24 - what are the next two terms in this pattern?

Tresset [83]

Answer:

48,96

Step-by-step explanation:

As we saw it the numbers kept increasing by x2 (or times 2) so the next had to be the same.

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3 years ago

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Bought to video games for a total of $55 their prices have a difference of $15

shepuryov [24]

Answer:

The answer is 40

Step-by-step explanation:

55-15=40

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3 years ago