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3 years ago

Suppose Rm (3,-4)=(1,1) and Rn (1,1)=(-5,16) Is m || n? Explain.

1 answer:

4 0

To determine if the given pair of lines are parallel, we are to calculate first for their slopes through the equation,
m = (y₂ - y₁) / (x₂ - x₁)
Rm (3, -4) and (1,1)
m = (1 --4) / (1 - 3) = -5/2
Rn (1,1) and (-5,16)
m = (16 - 1) / (-5 -1) = -5/2
Since the lines have the same slope, then they are parallel. The answer is true.

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Janet has three coins.

tatyana61 [14]

Answer:

Janet has coins worth 252.5, 101, and 50.5.

Step-by-step explanation:

Let us call the three coins $a,b$ , and $c$ .

The first coin $a$ is 5 times another coin (let's say $b$ ); therefore,

$a = 5b$ ,

and the third coin is 2 times the value of another coin (it's coin $b$ ):

$c =2b$ .

The total worth of all coins is 404; therefore,

$a+b+c =404$

$5b+b+2b =404$

$8b =404$

$\boxed{b = 50.5}$

with the value of $b$ in hand, we find $a$ and $c$ :

$a = 5b = 5(50.5)$

$\boxed{a = 252.5}$

and for $c:$

$c = 2 b = 2 (50.5)$

$\boxed{c = 101}$

Thus, Janet has 3 coins worth 252.5, 101, and 50.5.

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3 years ago

Bailey went out to dinner. It cost $ 45.00. He wanted to leave a 20% tip for his waitress. Find the tip.

Ksivusya [100]

Answer:

The tip should be $9.00

Step-by-step explanation:

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1 year ago

Read 2 more answers

-91 irrational or rational?

Len [333]

Answer:

rational

Step-by-step explanation:

is not an Irrational number because it can be expressed as the quotient of two integers: 91÷ 1

Hope this Helps :)

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2 years ago

Read 2 more answers

What is the interval notation for the compound inequality? x ≤ −4 or x ≥ 5

torisob [31]

Answer:

(-∞, -4] ∪ [5, ∞)

Step-by-step explanation:

Hi!

Alright, so greater (or less) than or equal to is denoted with a bracket.

If x is less than or equal to -4, then the bracket is on the left side.

(___, -4]

Because x is any number under or equal to -4, x can range from negative infinity. However, we use a parentheses for infinity because infinity can never truly be reached.

So, x $\leq$ -4 = (-∞, -4]