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3 years ago

In how many ways can 4 people sit next to each other in a movie theater row? [?] question 4 options:

1 answer:

3 0

Any of the 4 people can take the first seat
since it gets occupied by one person , the next seat can be occupied by any of the remaining 3
similarly, the next one has 2 possibilities and the last seat can only be occupied by the man who is left

so by the principal of multiplication, no. of ways equals 4! = 4×3×2×1 = 24 ways

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What is the ratio of the length of the radius and the length of the diameter for all circles?

vredina [299]

The diameter is twice the radius (D=2R), then

$\frac{R}{D}=\frac{1}{2}$

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3 years ago

Find the missing side lengths. Leave your answer as radicals in simplest form.

timurjin [86]

Answer:

Solution given:

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2 years ago

Read 2 more answers

True or false? A correct answer is worth (2 pts). Explain how you know for the additional (2 pts). Using complete sentence for (

PtichkaEL [24]

answer (in words)

FALSE. the coordinate pair (5, 2) is not a solution to the equation $2x+3y=10$ . in order to figure out whether or not the statement is true or false, plug the $x$ and $y$ values from the coordinate pair (5, 2) into the given equation, $2x+3y=10$ . if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)

answer (algebraic/steps for solving)

first, plug in 5 for $x$ in the equation $2x+3y=10$ .

$2x+3y=10$ ⇒ $2(5)+3y=10$

then plug in 2 for $y$ .

$2(5)+3y=10$ ⇒ $2(5)+3(2)=10$

now your equation is $2(5)+3(2)=10$ . all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

$2(5)+3(2)=10$ ⇒ $10 + 3(2) = 10$

multiply 3 · 2.

$10 + 3(2) = 10$ ⇒ $10 + 6 = 10$

add 10 + 6.

$10 + 6 = 10$ ⇒ $16=10$

16 and 10 are not equal, therefore (5, 2) is not a solution to the equation $2x+3y=10$ . in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

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3 years ago

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mariarad [96]

Answer:

x-intercept is -2 and y-intercept is -5

Step-by-step explanation:

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3 years ago

In ∆ABC , the coordinates of the vertices are A(-2, 4), B(-1, 1), and C (2, 2). ∆ABC is a right triangle.

Akimi4 [234]

Answer: True

Step-by-step explanation: I made a picture and it adds up:

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3 years ago