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3 years ago

Which expression is equivalent to the expression 5b+16?

Mathematics

2 answers:

serious [3.7K]3 years ago

8 0

3b-6+2b+22. This is the answer

RSB [31]3 years ago

7 0

Answer:

the firsst one trust bruv

Step-by-step explanation:

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What does the slope of the graph

balu736 [363]

The slope of a graph is rise over run. So count how many units up you move and put that over how many units right you move. If you are moving down or to the left it would be negative.

8 0

3 years ago

Rationalize the denominator of square root of negative 16 over open parentheses 1 plus i close parentheses plus open parentheses

emmasim [6.3K]

$\bf \cfrac{\sqrt{-16}}{(1+i)+(6+3i)}\implies \cfrac{\sqrt{-1\cdot 16}}{1+i+6+3i}\implies \cfrac{\sqrt{-1}\cdot \sqrt{16}}{7+4i}
\\\\\\
\cfrac{i\cdot \sqrt{4^2}}{7+4i}\implies \cfrac{4i}{7+4i}\impliedby 
\begin{array}{llll}
\textit{now, we'll multiply by the}\\
\textit{conjugate of the denominator}
\end{array}\\\\
-------------------------------\\\\$

$\bf \textit{and recall }\textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
\textit{also recall that }i^2=-1
\\\\
-------------------------------\\\\$

$\bf \cfrac{4i}{7+4i}\cdot \cfrac{7-4i}{7-4i}\implies \cfrac{4i(7-4i)}{(7+4i)(7-4i)}\implies \cfrac{28i-16i^2}{7^2-(4i)^2}
\\\\\\
\cfrac{28i-16(-1)}{49-(4^2i^2)}\implies \cfrac{28i+16}{49-[16(-1)]}\implies \cfrac{16+28i}{49+16}\implies \cfrac{16+28i}{65}
\\\\\\
\cfrac{16}{65}+\cfrac{28i}{65}$

5 0

4 years ago

A card is drawn from a deck of 10 cards numbered 1 through 10 and a number cube is rolled. Find each probability.

Helen [10]

Answer:

1. P (10 and 3) = 1/10 * 1*6 = 1/60.

2. P (two even numbers) = 5/10 * 3/6 = 15/60 = 1/4.

3. P (two prime numbers) = 4/10 * 3/6 = 12/60 = 1/5.

4. P (9 and an odd number) = 1/10 * 3/6 = 3/60 = 1/20.

5. P (two numbers less than 4) = 3/10 * 3/6 = 9/60 = 3/20.

6. P (two numbers greater than 5) = 5/10 * 1/6 = 5/60 = 1/12.

Step-by-step explanation:

The card has the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.

The number cube has the numbers 1, 2, 3, 4, 5, and 6

In the deck of cards, 5 are odd and 5 are even. Also, there are 4 prime numbers in the deck. Also, there are 3 even and 3 odd numbers on the number cube. Also, there are 3 prime numbers cube. Therefore,

P(Selecting any card from the deck) = 1/10.

P(Any number is rolled on the dice) = 1/6.

Assume that probability of the cards and the cube are independent. So the probabilities can be calculated.

1. P (10 and 3) = 1/10 * 1*6 = 1/60.

2. P (two even numbers) = 5/10 * 3/6 = 15/60 = 1/4.

3. P (two prime numbers) = 4/10 * 3/6 = 12/60 = 1/5.

4. P (9 and an odd number) = 1/10 * 3/6 = 3/60 = 1/20.

5. P (two numbers less than 4) = 3/10 * 3/6 = 9/60 = 3/20.

6. P (two numbers greater than 5) = 5/10 * 1/6 = 5/60 = 1/12.

So the probabilities have been mentioned!!!

3 0

3 years ago

The diagram shows MNP. Which term describes point Q?

Olenka [21]

The best point that describes point Q of triangle MNP is; D: Circumcenter

<h3>What is the central point of the triangle?</h3>

We have been given an image of a triangle MNP and we are asked to choose the term that describes point Q

We see that point Q is the point where the perpendicular bisector of the given triangle is intersecting.

Due to the fact that by definition, the point where the perpendicular bisectors of a triangle intersect is called circumcenter, therefore we can conclude that, point Q is the circumcenter of triangle MNP.

Read more about Circumcenter at; brainly.com/question/28022079

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