(3,-1) perpendicular to y= 4x+1

Solve for x. 7 + 11x + 60 = -13 + 3x

Snowcat [4.5K]

Answer:

x = -10

Step-by-step explanation:

Step 1: Write equation

7 + 11x + 60 = -13 + 3x

Step 2: Solve for <em>x</em>

Combine like terms: 11x + 67 = -13 + 3x
Subtract 3x on both sides: 8x + 67 = -13
Subtract 67 on both sides: 8x = -80
Divide both sides by 8: x = -10

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

7 + 11(-10) + 60 = -13 + 3(-10)

67 - 110 = -13 - 30

-43 = -43

6 0

4 years ago

You picked two marbles from a bag and record their color. How can you make your selections independent events? Dependent events?

olga55 [171]

Answer:

Let's suppose the next case:

We have a bag, where there are 5 red marbles, and 5 blue marbles.

We have a total of 10 marbles.

Suppose that we pick a marble and we do not replace it, and suppose that the first one is a red marble.

Then now we have in the bag a total of 4 red marbles and 5 blue marbles.

Now let's find the probability of picking a blue marble, this will be equal to the quotient between the number of blue marbles (5) and the total number of marbles (9)

P = 5/9

Now, suppose that instead of a red marble in the first pick, we had a blue marble.

Then now we have 4 blue marbles and 5 red marbles in the bag.

Again, the probability of picking a blue marble will be equal to the quotient between the number of blue marbles (4) and total numbergof marbles (9)

P = 4/9

Then the first pick does affect the probabilities for the second pick, this means that if we do not replace the first marble we pick, then the events will be dependent.

Now, if we replaced the first marble we picked (we put it again in the bag) then the number of blue marbles and red marbles is always the same, then in this case bot events will be independent (the first event will not affect the second event)

4 0

3 years ago

Evaluate the piecewise function at the indicated values from the domain:

lidiya [134]

In this question, we given a piece-wise function, that has different definitions depending on the domain.

Evaluate the function at x = 0.

The exercise asks for us to evaluate the function at $x = 0$

We have to look at the definition, and see which definition includes $x = 0$ . The equal sign at $x = 0$ is on the second definition, that is:

$f(x) = 1, 0 \leq x < 2$

Thus, at $x = 0$ , the value of the function is 1, and the correct answer is given by option A.

For another example of evaluation of a piece-wise function, you can check brainly.com/question/17966003

7 0

3 years ago

Maddie converts z = 8(cos(300°) + isin(300°)) into rectangular form z = a + bi and determines that a = 4 and b = 4 StartRoot 3 E

Anastaziya [24]

Answer:

Option C) The value of a is correct, but the value of b is incorrect.

Step-by-step explanation:

z = 8(cos(300°) + isin(300°))

z = 8cos(300°) + 8isin(300°)

$z = 4 + i(-4\sqrt{3})\\z=4-i(4\sqrt{3} )\\$

So we can see that a = 4 which is correct but b = $-4\sqrt{3}$ and b in the question says it is b $4\sqrt{3}$ so its incorrect so Option C is your answer.

8 0

3 years ago

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A plant grows 3 centimeters in 10 days. How much does it grow per day? Write your answer as a fraction in simplest form.

iogann1982 [59]

Answer:

It grows 0.3 cm per day.

Step-by-step explanation:

Divide 3cm by the 10 days. [ 3 / 10 = 0.3 ]

6 0

3 years ago

Read 2 more answers