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3 years ago

MATCH THE CONSTANT WITH ITS EXPRESSION! HELP PLEASE I SUCK AT MATH❤️❤️❤️❤️

Mathematics

1 answer:

malfutka [58]3 years ago

4 0

Answer:

Step-by-step explanation:

The constant of an equation is simply the number at the end without a variable. It is called a constant because it is the only term that doesn't change if you plug in a random x value. So:

The constant of 5a^2 + a - 1 is -1

The constant of 3x^2-x +1 is +1

The constant of y^2-2y+2 is +2

and the constant of m^2 +2m -2 is -2.

Hope this helped!

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It rained r inches on Saturday. On Sunday it rained 0.15 inches less than twice Saturday’s amount.

soldier1979 [14.2K]

The answer is

0.15r - 2x

hope this helps

5 0

4 years ago

Read 2 more answers

Identify the graph of 9X^2+4xy+5y^2-40=0 and find theta to the nearest degree.

lubasha [3.4K]

Answer:

The answer is ellipse; 23° to the nearest degree ⇒ answer (d)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy² + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

- 9x² + 4xy + 5y² - 40 = 0

∵ A = 9 , B = 4 , 5 = 5

∴ B² - 4 AC = (4)² - 4(9)(5) = -164 < 0

∴ B² - 4AC < 0

∴ If a conic exists, it will be either a circle or an ellipse.

* To find the type of the graph lets check;

- If A and C are nonzero, have the same sign, and are not

equal to each other, then the graph is an ellipse.

- If A and C are equal and nonzero and have the same

sign, then the graph is a circle.

∵ A and C have same signs and are not equal

∴ The graph is an ellipse

* If we have term xy ⇒ B ≠ 0

∴ The graph is rotate by angle Ф

* To find the angle of rotation use the rule:

- cot(2Ф) = (A - C)/B

∵ A = 9 , B = 4 , C = 5

∴ cot(2Ф) = (9 - 5)/4 = 4/4 = 1

∴ tan(2Ф) = 1

∴ 2Ф = 45°

∴ Ф = 22.5° ≅ 23° to the nearest degree

* The answer is ellipse; with angle of rotation = 23°

4 0

4 years ago

1.) Find all the factors of 54.

jonny [76]

QUESTION 1.

The factors of 54 are all natural numbers that can divide 54 exactly.

The factors of 54 are: {1,2,3,6,9,18,27,54}

QUESTION 2

The prime factors of 54 are factors of 54 that are prime numbers.

The prime factors of 54 are {2,3}.

Product of prime factors of 54 is $2\times 3^3$

QUESTION 3

All the factors of 60 are all positive integers that divide exactly into 60.

The factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}

QUESTION 4

The prime factors of 60 are factors of 60 that are prime numbers.

The prime factors of 60 are {2,3,5}

The prime factorization of 60 is $2^2\times 3\times 5$ .

QUESTION 5

The factors of 30 are {1,2,3,5,6,10,15,30}

The different ways she can put the beads into the boxes are

$1\times 30$ ,

All 30 beads into one box or 1 bead in 30 boxes.

$2\times 15$ ,

2 beads each into 15 boxes or 15 beads each into 2 boxes

$3\times 10$ ,

3 beads each into 10 boxes or 10 beads each into 3 boxes

$5\times 6$ ,

6 beads each into 5 boxes or 5 beads each into 6 boxes

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4 years ago

Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?

vodka [1.7K]

Answer: (h)q^3

Step-by-step explanation:

4 0

3 years ago

Dale currently has $599 in his savings account. Prior to getting paid, he had $230 in his savings account. How much was Dale’s p

nlexa [21]

Hi!

So really focus on the fact that he started at $230, and then added an amount of money which we'll call x, which made his total equal $599.

Take the parts I put in bold, and write the equation.
$230 + x = $599

Now we need to find x.

Whatever we do to the equation, we do it to both sides.
Our goal is to isolate x on one side.

Subtract 230 from both sides.
$230 - $230 + x = $599 - $230
x = $369

The answer is A. $230 + x = $599 x = $369

Hope this helps! :)
-Peredhel

8 0

3 years ago