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2 years ago

Math!! please please helppp!!!

Mathematics

1 answer:

ololo11 [35]2 years ago

3 0

Answer:

Step-by-step explanation:

you can use the slope intercept form: y = mx + b.

y = y cooordinate

m = slope

x = x coordinate

b = y intercept

the y intercept is 4.

the point (1, 7) is what we're going to use.

so the new equation is

7 = m + 4 (it would be 1m, but i rewrote it to be mathmatically correct)

subtract 4 from both sides, you should have 3 = m.

the slope is 3

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3 years ago

Cones A and B both have volume cubic 48 π units, but have different dimensions. Cone A has radius 6 units and height 4 units. Fi

Alex_Xolod [135]

Answer:

A possible solution is that radius of cone B is 2 units and height is 36 units

Step-by-step explanation:

The volume of a cone is given by

$V=\frac{1}{3}\pi r^2 h$

where

r is the radius

h is the height

Here we are told that both cones A and B have the same volume, which is:

$V_A=\frac{1}{3}\pi r_A^2 h_A = 48 \pi$

And

$V_B=\frac{1}{3}\pi r_B^2 h_B = 48 \pi$ (2)

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and height 4 units:

$h_A=4$

For cone B, from eq.(2), we get

$\frac{1}{3}r_B^2 h_B = 48\\r_B^2 h_B = 48\cdot 3 =144$

One possible solution for this equation is

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In fact in this case, we get:

$r_B^2 h_B = (2)^2\cdot 36 = 4\cdot 36 = 144$

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2 years ago

(6, -12). (15. -3)<br> Find the slope

Allisa [31]

Answer:

The slope is 1.

Step-by-step explanation:

A first order function has the following format

$y = ax + b$

In which a is the slope

(6, -12).

This means that when $x = 6, y = -12$

$y = ax + b$

$-12 = 6a + b$

(15. -3)

This means that when $x = 15, y = -3$

$y = ax + b$

$-3 = 15a + b$

We have to solve the following system of equations:

$-12 = 6a + b$

$-3 = 15a + b$

We have to find a

In the second equation i will write as:

$b = -3 - 15a$

Replacing in the first

$-12 = 6a + b$

$-12 = 6a - 3 - 15a$

$-9 = -9a$

$9a = 9$

$a = \frac{9}{9}$

$a = 1$

The slope is 1.

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