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2 years ago

A segment has an endpoint at (2, 1). The midpoint is at (5, 1). What are the coordinates of the other endpoint?

Mathematics

2 answers:

Free_Kalibri [48]2 years ago

7 0

(8,1) since the midpoint is 3 away from the endpoint, it must also be 3 away from the other endpoint

viva [34]2 years ago

5 0

Since point A and the midpoint are in the same y axis, we can assume that Point B has the same y value(1).

Point A = 2, Midpoint = 5. (Difference is 3, so 5 +3 = 8)

Point B = (8,1)

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How do you find the quadratic function with vertex (-2,5) and point (0,9)?

Anastaziya [24]

Answer: y = (x +2)² + 5

Step-by-step explanation:

y = a(x - h)² + k where "a" is the leading coefficient and (h, k) is the vertex

Since we don't know "a", we need to plug in the point (x, y) and the vertex (h, k) to solve for "a": (x, y) = (0, 9) and (h, k) = (-2, 5)

y = a(x - h)² + k

9 = a(0 - (-2))² + 5

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9 = a(2)² + 5

-5 -5

4 = a(4)

÷4 ÷4

1 = a

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y = a(x - h)² + k

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6 0

3 years ago

9^x=1/3 How much is x?

kumpel [21]

Answer:

x = -1/2

Step-by-step explanation:

This question can be solved by applying the laws of indices

In a^n, a - base

n - index

Given

9^x = 1/3

According to the laws of indices, a/b = b^(-a)

Hence we can write, 1/3 = 3^(-1)

9^x = 3^(2x)

Again according to the laws of indices,

a^b = a^n can be written as;

b = n

That is, if in an equation the bases are the same, the indices are also equal.

So we can write,

3^(2x) = 3^(-1)

2x = -1

Divide both sides of the equation by 2, the coefficient of x

2x/2 = -1/2

x = -1/2

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2 years ago

Gurnaz has been mowing lawns to save money for a concert. Gurnaz will need to work for at least six hours to save enough money,

inessss [21]

Answer:

The required inequality is: $6\leq x$

Step-by-step explanation:

Consider the provided information.

Gurnaz has been mowing lawns to save money for a concert. Gurnaz will need to work for at least six hours to save enough money, but he must work fewer than 16 hours this week.

Let the number of hours Gurnaz work is represented by x.

Gurnaz will need to work for at least six hours to save enough money,

That means he can work 6 or more than 6 hours,

$x\geq 6$