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1 year ago

Write a linear function of f with f(-3)=-2 and f(-2)=3

Mathematics

1 answer:

katrin2010 [14]1 year ago

5 0

Answer:

y=5x+13

Step-by-step explanation:

when x=-3, y=-2, and when x=-2, y=3. we know that every time x increases by 1, y also increases by 5. This means that the slope is 5. to find the y-intercept, we need x to be 0. to find that, increase x by 2. if x increases by 2, then y would also increase by 10. add 10 to 3 and add 2 to -2 to get x=0 and y=13. the coordinates would be (0,13). the y-intercept is 13. now that we have enough information, we can conclude that y=5x+13. To check your answer, plug in the values for x.

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Labeling Parts of a Circle

mel-nik [20]

Answer:

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2 years ago

What are the characteristics of the graph of the inequality x ≥ -2? The ray will move to the left. The ray will move to the righ

Alenkasestr [34]

Answer:

Step-by-step explanation:

The inequality x ≥ -2 is graphed on a number line. -2 is the smallest possible value. All subsequent values are larger and therefore lie to the right of -2.

Thus, the following are true:

1. The ray will move to the right (because x begins at -2 and increases, which means moving to the right on the number line).

2. It will use a closed circle (because x = -2 is part of the solution set).

6 0

3 years ago

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Step2247 [10]

Answer:

$A = 297\pi$

Step-by-step explanation:

To solve this problem we need to be familiar with the formula for the surface area of a cone:

$A = \pi r(r + \sqrt{h^2+r^2})$

We are given the length of a side and the diameter, to calculate the radius divide the diameter in half:

$r = \frac{d}{2}\\r = \frac{18}{2}\\r = 9 cm$

To calculate the height of the cone, we must use the Pythagorean Theorem:

$C^2 = A^2 + B^2$

We can treat the side length as the hypotenuse $C$ , the radius as the base $A$ , and solve for height $B$ . Set the expression up like this:

$C^2 = A^2 + B^2\\24^2 = 9^2 + B^2\\B^2 = 24^2 - 9^2\\B = \sqrt{24^2 - 9^2}\\B = \sqrt{576 - 81}\\B = \sqrt{495}\\B \approx 22.25$

Now we can plug into our original formula:

$A = \pi r(r + \sqrt{h^2+r^2})\\A = \pi 9(9+\sqrt{\sqrt{495}^2+9^2}\\A = \pi 9(9+\sqrt{495 + 81}\\A = \pi 9(9+\sqrt{576})\\A = \pi 9(9 + 24)\\A = \pi 9(33)\\A = 297\pi$

5 0

2 years ago

W + what - s = w help plz help helppp i want help

grandymaker [24]

Answer: S

Step-by-step explanation:

w + ? - s = w

w + s - s = w

w = w

7 0

3 years ago

Im not sure how to answer this question.

bonufazy [111]

9514 1404 393

Answer:

(-4√494)/13i +(6√494)/13k ≈ -6.8388i +0j +10.2585k

Step-by-step explanation:

To answer this question, you need to know two things:

1) the direction of vector v

2) the magnitude of vector u

direction of v

A direction is specified by a "unit vector", one with the proper ratio of components, and a magnitude of 1. It is found from a given vector by dividing that vector by its magnitude.

The unit vector in the v direction is ...

v/|v| = (-2i +3k)/(√((-2)² +3²) = (-2i +3k)/√13

magnitude of u

The magnitude of vector u is ...

|u| = √(5² +(-2)² +3²) = √38

Then the desired vector is ...

(2|u|)(v/|v|) = 2√38(-2i+3k)/√13 = (-4√494)/13i +(6√494)/13k

_____

Additional comment

We have chosen to "rationalize the denominator" by writing √(38/13) as (√494)/13.

3 0

3 years ago