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Nikitich [7]
3 years ago
13

What is the equation of a line that goes through the point (0, -5) and has a slope of -3?

Mathematics
2 answers:
juin [17]3 years ago
8 0

Answer:

y = -3x - 5

Step-by-step explanation:

The equation of a line is given as either:

y = mx + b  where m is the slope, and b is the y-intercept.

or

y-y_{1} = m(x-x_{1} )  where given that you have a point (x, y), y₁ is the y-value of the point, m is the slope, and x₁ is the x-value of the point.

We can just plug in the point (0, -5) into the second equation and -3 for the slope.

<em>However,</em> (0, -5) tells us that this point must be a <u>y-intercept</u>, since the x-value of that point is 0. So, we can also just plug into the first equation -5 for the y-intercept and -3 for the slope.

So, we get:

y = -3x + (-5)

Which simplifies into:

y = -3x - 5

insens350 [35]3 years ago
8 0

Answer:

i dont know

Step-by-step explanation:

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lara31 [8.8K]

Answer:

\frac{24}{210}

Step-by-step explanation:

Add them all up 15 if one is taken out and no replaced OR put back in, then the second draw will have 14 beads.

4 x 6 = 24

15 x 14 = 210

7 0
3 years ago
The radius of the cone is 1.75 inches, and its height is 3.5 inches. If the diameter of the bubble gum ball is 0.5 inches, what
julia-pushkina [17]

Answer:

=11.155 in³

Step-by-step explanation:

Given data:

Radius= 1.75 inches

Height = 3.5 inches

Diameter= 0.5 inches

To find the volume of a cone we will apply the formula:

Volume of a cone = 1/3 πr²h

Substitute the values:

V= 1/3* 3.14 *(1.75)² * 3.5

V=1/3 *3.14*(3.0625)* 3.5

V= 33.66/3

V=11.22 in³

Now find the volume of the bubble gum:

Volume of bubble gum = 4/3 π*r³

Substitute the values:

V= 4/3*3.14*(0.5/2)³

V=4/3*3.14(0.25)³

V=4/3*3.14(0.015625)

V=0.19625/3

V=0.0654 in³

Now subtract the volume of bubble gum ball from the volume of a cone

=11.22 - 0.0654

=11.155 in³

Thus the closest approximation of the volume of the cone that can be filled with flavored ice is 11.155 in³....

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