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Karolina [17]
3 years ago
10

A line that includes the points (-1,8) and (1,6) what is the equation in point slope form

Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

Step-by-step explanation:

6-8/1- -1 = -2/2 = -1 is the slope

y - 8 = -1(x+1)

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at time t, the position of a body moving along the s-axis is s=t^3 - 12t^2 + 36t m. Find the total distance traveled by the body
NNADVOKAT [17]

Answer:

27 m

Step-by-step explanation:

The position of a body is given by :

s=t^3 - 12t^2 + 36t

We need to find the total distance traveled by the body from t=0 to t=3.

At t = 0,

s=0^3 - 12(0)^2 + 36(0)=0\ m

At t = 3 s,

s=(3)^3 - 12(3)^2 + 36(3)\\\\=27\ m

So, the total distance from t=0 to t=3 is equal to 27 m.

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Find the segment length indicated. Assume that lines which appear to be tangent are tangent.
Triss [41]

Answer:

Part 1) The segment length indicated is 6.4\ units

Part 2) The segment length indicated is 19\ units

Step-by-step explanation:

Let

x------> the segment length indicated

Part 1)

Applying the Pythagoras Theorem

(13+x)^{2}=13^{2}+14.4^{2}\\ \\ (169+26x+x^{2})=169+207.36\\ \\x^{2}+26x-207.36=0

Solve the quadratic equation by graphing

The solution is x=6.4\ units

see the attached figure N 1

Part 2)

Applying the Pythagoras Theorem

x^{2} =11.4^{2}+(7.6+7.6)^{2}\\ \\ x^{2}=129.96+231.04\\ \\x^{2}=361\\ \\x=19\ units

5 0
4 years ago
Which polygon is a convex heptagon
Darya [45]

Convex Heptagon: A convex heptagon is a polygon with seven sides in which all of its diagonals lies inside the Heptagon. Concave Heptagon: A Concave Heptagon is a polygon with one or more interior angles greater than 180 degrees and some diagonals will lie outside the polygon.

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3 years ago
Help me please<br> Find the value of x.
Otrada [13]

Answer:

110

Step-by-step explanation:

180-35-35

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