N is an integer such that -2 <n<3<br>Write down all the possible values of n.

which of the following is the equation of the line that passes though the point (-2,1) and has a slope of 4

Ierofanga [76]

An equation that goes through (-2, 1) and has a slope of 4 is y = 4x + 9.

You can find this by looking for the y-intercept (b) by using the slope (m), the point and slope intercept form. The work is below for you.

y = mx + b

1 = 4(-2) + b

1 = -8 + b

9 = b

Now we can use that and the slope to create the equation y = 4x + 9

4 0

3 years ago

Given that (-9,8) is on the graph of f(x), find the

rodikova [14]

Answer:

the corresponding point for function f(x) + 2 would be (12, -8)

7 0

1 year ago

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be t

gayaneshka [121]

Answer:The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Step-by-step explanation:

The average rate of change is calculated as:

[final value - initial value] / time interval.

Then, the average rate of change does not take into account intermediates values, and you cannot draw any conclusion about such intermediate values.

In the given case you have:

average rate of change in depth = [final depth - initial depth] / 2 weeks.

0 = [final depth - initial depth] / 2 weeks.

⇒ 0 = final depth - initial depth

⇒ final depth = initial depth.

That is why the conclusion is the second statement of the answer choices: the pool must have been the same depth at the start of the interval as it was at the end of the interval.

In between the pool might have been deeper, more shallow, empty or change in any form, since the average rate of change does not tell the full history but only the net change.

4 0

2 years ago

I am a bit lost with this problem. Could someone please explain this to me :)

Serjik [45]

They want the point D such that D is equally distant away from the three gates. Call the gates A, B, and C

They want
AD = BD = CD

If we draw a circle through those three points, then point D would be the center
This circle is known as the circumcircle as it goes through the three points
The center D is the circumcenter

So all you have to do is find the perpendicular bisector of two segments of the triangle, say of AB and BC. Then find where those perpendicular bisectors meet. That intersection would be point D.

Since we don't have actual numbers or coordinates to work with, we can't go further and actually find out where point D is located in terms of (x,y) coordinates. However, you can still get a good idea using a compass and straightedge.

3 0

3 years ago

Ahoy there, matey! Our pirate ship had 5/6 of a treasure chest full of gold.

Kisachek [45]

Answer:

1 $\frac{5}{24}$ teasure chests of gold

Step-by-step explanation:

Since this is a problem of adding or subtracting fractions, you will have to do one or the other to solve. Since the pirates already had $\frac{5}{6}$ of a treasure chest of gold and stole another $\frac{3}{8}$ of a treasure chest to add to their collection, we need to add these two fractions:

$\frac{5}{6}+\frac{3}{8}$

In order to add or subtract fractions, you need to have a common denominator. Choosing a common denominator means looking for the lowest common multiple of the two denominators:

6: 6, 12, 18, 24

8: 8, 16, 24

$\frac{5}{6}=\frac{20}{24}and\frac{3}{8}=\frac{9}{24}$

Add them together: $\frac{20}{24}+\frac{9}{24}=\frac{29}{24}=1\frac{5}{24}$

7 0

2 years ago

N is an integer such that -2 <n<3Write down all the possible values of n.​

N is an integer such that -2 <n<3Write down all the possible values of n.