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3 years ago

What is the equation in point slope form of the line passing through (0,3) and has a slope of -6

1 answer:

4 0

Just plug in the numbers! it gives you the slope and the y-intercept right in the question so no math required. The slope is -6, and the y-int is 3, therefore y = -6x + 3 is the answer

You might be interested in

What is the length of each side of a square that has the same area as a rectangle that is 5.4 mm long and 2.6 mm wide? Round to

Vlad1618 [11]

Hey!

Area is equal to length × width. First find the area of the rectangle.

$5.4 \times 2.6 = 14.04$

The area of the rectangle is 14.04 mm². That means the area of the square is also 14.04 mm². In a square, all 4 sides are the same. The length and width are the same.

Try all choices and see which is the closest

$3.75 \times 3.75 = 14.06$

$3.87 \times 3.87 = 14.98$

$4.01 \times 4.01 = 16.08$

$4.32 \times 4.32 = 18.66$

The 1st choice is the closest.

$\framebox{Your answer is A}$

3 0

3 years ago

Read 2 more answers

Please help! (85 points)

allochka39001 [22]

Recall that all three angles in a triangle equals 180.
Knowing this, we just have to add up all the angles and figure out what the value 'x' is.

(x-22 + x-17 + 3x+19) = 180
Simplify:
5x - 20 = 180
Add 20 to both sides:
5x = 200
Divide both sides by 5:
x = 40

Now that we found the value for x, we need to solve for angle A.
Simply input the value of 'x' into angle A's equation:
40 - 22 = 18

Angle A = 18 degrees

Good luck! If you need me to explain anything, just ask :))
-T.B.

8 0

3 years ago

Read 2 more answers

Whats the distance between the points (2, 7) and (2, 15)

sveta [45]

Answer:

The distance between the points (2, 7) and (2, 15) is 8.

Step-by-step explanation:

<u>What is the Distance between Two Points?</u>

For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.

How to Solve:

Formula:

$\sqrt{(x2-x1)^2+(y2-y1)^2}$

Putting Values:

$=\sqrt{(2-2)^2+(15-7)^2}$

$=\sqrt{(0)^2+(8)^2}$

$=\sqrt{0+64}$

$=\sqrt{64}$

$=8$

7 0

2 years ago

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden

Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that $n = 2161, \pi = \frac{1214}{2161} = 0.5618$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Margin of error:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}$

$M = 0.0209$

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

4 0

3 years ago

For this exercise assume that all matrices are ntimesn. Each part of this exercise is an implication of the form "If "statement

inna [77]

Answer:

C. True; by the Invertible Matrix Theorem if the equation Ax=0 has only the trivial solution, then the matrix is invertible. Thus, A must also be row equivalent to the n x n identity matrix.

Step-by-step explanation:

The Invertible matrix Theorem is a Theorem which gives a list of equivalent conditions for an n X n matrix to have an inverse. For the sake of this question, we would look at only the conditions needed to answer the question.

There is an n×n matrix C such that CA= $I_n$ .
There is an n×n matrix D such that AD= $I_n$ .
The equation Ax=0 has only the trivial solution x=0.
A is row-equivalent to the n×n identity matrix $I_n$ .
For each column vector b in $R^n$ , the equation Ax=b has a unique solution.
The columns of A span $R^n$ .

Therefore the statement:

If there is an n X n matrix D such that AD=I, then there is also an n X n matrix C such that CA = I is true by the conditions for invertibility of matrix:

The equation Ax=0 has only the trivial solution x=0.

A is row-equivalent to the n×n identity matrix $I_n$ .

The correct option is C.

5 0

3 years ago