What is 312.501 rounded to the nearest whole number? A. 310 B. 311 C. 312 D. 313

What's the standard equation of the circle with the general equation x2 + y2 + 4x – 2y – 20 = 0? answers: 1) (x + 2)2 + (y – 1)2

gizmo_the_mogwai [7]

Answer:

4). (x + 2)^2 + (y - 1)^2 = 25.

Step-by-step explanation:

x^2 + y^2 + 4x - 2y - 20 = 0

x^2 + 4x + y^2 - 2y = 20

Completing the square on the x and y terms:

(x + 2)^2 - 4 + (y - 1)^2 - 1 = 20

(x + 2)^2 + (y - 1)^2 = 20 + 4 + 1

(x + 2)^2 + (y - 1)^2 = 25.

3 0

3 years ago

HELP QUICK!!!! PLEASE!

Tresset [83]

Answer:

Linear function

Step-by-step explanation:

<h2> $y = \frac{x}{2} - 5$ </h2><h3>Linear function</h3>

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 1.

<h2> $y = \frac{2}{x} + 3$ </h2><h3>Not linear function</h3>

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1

, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

<h2> $y = {2}^{x} - 1$ </h2><h3>Not linear function</h3>

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

<h2> $y = {x}^{2} + 7$ </h2><h3>Not linear function</h3>

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 2.

<h3>Hope it is helpful...</h3>

6 0

2 years ago

Two sides of a right triangle measure 2 units and 4

fredd [130]

Hey there!

The answer is √20 or approximately 4.47

We can use the Pythagoreon Theorem, which is $a^2 +b^2=c^2$ . $a$ and $b$ are the names of the two sides, and $c$ is the name of the hypotenuse leg, or the longest side. We will plug the numbers into the formula, and solve:

$2^2+4^2=c^2\\4+16=c^2\\20=c^2\\4.47...=c$

Have a terrifcly amazing day!

8 0

3 years ago

What weight of dry substance is in 150g of a 3% substance solution? What weight of an 8% solution can we have with the same weig

Leto [7]

<span>4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.</span>

4 0

2 years ago

Max and Zoe collected 33 pieces of garbage from the beach. Zoe collected twice as many pieces of garbage as Max. How many pieces

ohaa [14]

Answer:

beach litter data that had been collected by the TG Marine Litter. ... (e.g. littering fines, voluntary restrictions, additional waste.

4 0

3 years ago