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never [62]
2 years ago
15

What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ?

Mathematics
1 answer:
Sergio039 [100]2 years ago
6 0

The point-slope form:

y-y_1=m(x-x_1)

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-4, -1) and (5, 7). Substitute:

m=\dfrac{7-(-1)}{5-(-4)}=\dfrac{7+1}{5+4}=\dfrac{8}{9}\\\\\boxed{y-7=\dfrac{8}{9}(x-5)}


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What measures spread?
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Answer:

Not sure if you're looking for Central Tendancy but Range is the difference of the highest value and lowest value??

Step-by-step explanation:

7 0
3 years ago
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In 2014 the tenants at Jefferson school's Fall festival Was 650. In 2015 the attendance was 575. What was the percent change in
Over [174]

Answer: the percent change in attendance from 2014 to 2015 is 11.54%

Step-by-step explanation:

In 2014, the total attendance at Jefferson school's Fall festival was 650.

In 2015, the attendance was 575. The change in the number of attendees between 2014 and 2015 is 650 - 575 = 75

There was a decrease in the number of attendees between 2014 and 2015.

The percent change in attendance from 2014 to 2015 would be attendance in 2015 divided by attendance in 2014 and multiplied by 100. It becomes

75/650 × 100 = 11.54%

7 0
3 years ago
Find the volume of the prism 8 units 2 units 5 units
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80 units cubed

Step-by-step explanation:

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2 years ago
Find the product. y4 · y5
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8 0
3 years ago
A cone of radius 10 cm and height 16 cm is divided into two parts by a plane through the midpoint of its
bazaltina [42]

Answer:

The ratio of their volumes (the top to bottom half) is 1/7

Step-by-step explanation:

The given parameters are;

The radius, r, of the cone = 10 cm

The height of the cone = 16 cm

The point at which the cone is divided = The midpoint of the its axis and parallel to its base

The ratio of the of the volume of the two parts is given as follows;

The volume, V of the entire cone = 1/3 × Base area (π·r²) × Height, h

Therefore;

V = 1/3 × π × 10² × 16 =1600·π/3 =  1675.52 cm³

The height at which the cone is divided = 16/2 = 8 cm

The height, h₁ of the uppermost divided cone = 8 cm

The ratio of the radius to the height of the cone = 10/16 = 5/8

The radius r₁, of the uppermost divided cone = The height of the uppermost divided cone × The ratio of the radius to the height of the cone

∴ r₁ = 8 × 5/8 = 5 cm

The volume, V₁, of the uppermost divided cone = 1/3 × (π·r₁²) × h₁

∴ V₁ = 1/3 × π × 5² × 8 = 200·π/3 = 209.44 cm³

Which gives;

The volume of the lower cone, V₂ =  V - V₁

V₂ =  1675.52 cm³ - 209.44 cm³ = 1400·π/3 = 1466.1 cm³

The ratio of their volumes V₁ : V₂ = V₁/V₂ = (200·π/3)/(1400·π/3) = 209.44/1466.1 = 1/7.

7 0
3 years ago
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