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3 years ago

Find the distance a) (- 8,6 ) ( 1, 8)

Mathematics

1 answer:

cupoosta [38]3 years ago

8 0

Answer:

under root85

Step-by-step explanation:

=under root[(1+8)^2+(8-6)^2]

=under root (85)

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D ----> 2X is a monomial

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3 years ago

Another algebra question :/

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2 years ago

Mr. Ortega is buying a ham. He wants to divide it into 6-ounce servings for 12 people. Write and solve a division equation to fi

galben [10]

Answer:

division equation

x/6 = 12

The size he should buy = 72 ounces

Step-by-step explanation:

Mr Ortega bought a ham. He wants to divide it into 6 ounce serving for 12 people . The division equation to find what size of ham Mr Ortega should buy is represented below.

Mr Ortega wants to share for each person 6 ounce serving for 12 people.

Let the amount of ounce he will buy = x ounces

Therefore, the division equation to find what size of hams Mr Ortega should buy will be

x/6 = 12

To find x we cross multiply

x = 12 × 6

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2 years ago

2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago

Find the distance a) (- 8,6 ) ( 1, 8)​

Find the distance a) (- 8,6 ) ( 1, 8)