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defon
3 years ago
13

Suppose you start at the orgion, move along the x-axis distance of 4 units in the positive direction, and then move downword a d

istance of 3 units. What are the coordinates of your position?

Mathematics
1 answer:
amid [387]3 years ago
3 0

Answer: The coordinates of your final position = (4,-3)

Step-by-step explanation:

We will use coordinate- plane for this as shown below .

Consider the graph below , Starting from the origin (0,0) on the graph , we first move 4 units along the x-axis in positive direction i.e. we move 4 units on the right side of origin (shown by orange line)and reach (4,0).

Now , from (4,0) we then move 3 units downwards i.e. on negative y-axis ( shown by purple line).

We will reach point (4,-3).

i.e. the coordinate of the final position x= 4 and y= -3.

Therefore , the coordinates of your final position = (4,-3)

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A regular hexagon has sides of 3 feet. What is the area of the hexagon?
frosja888 [35]

Answer:

13.5\sqrt{3}\:\text{ft}^{2}

Step-by-step explanation:

Given: The side of a regular hexagon is 3 feet.

To find: Area of the hexagon

Solution:

It is given that the side of a regular hexagon is 3 feet.

We know that the area of a regular hexagon whose side is a units is \frac{3\sqrt{3} }{2} a^{2}

Here, the side is 3 feet

So, area of the regular hexagon

=\frac{3\sqrt{3} }{2} \times3^{2}

=\frac{3\sqrt{3} }{2} \times9

=\frac{27\sqrt{3} }{2}

=13.5\sqrt{3}\:\text{ft}^{2}

Hence, area of the regular hexagon is 13.5\sqrt{3}\:\text{ft}^{2}

6 0
3 years ago
A=1/4 and b=6.<br><br> −8ab=
podryga [215]

Answer:

When a=\frac{1}{4} and b=6:

-8ab=-12

Step-by-step explanation:

-8ab can be seen as -8×a×b. Insert the given values:

-8*\frac{1}{4} *6

Simplify multiplication from left to right:

-8*\frac{1}{4} \\\\\frac{-8}{1} *\frac{1}{4} =\frac{-8}{4} =-2

Insert and solve:

-2*6=-12

:Done

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Answer:

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Step-by-step explanation:

For 2 ft on x-axis it has elevated 0.3 ft on y-axis

m=0.3/2=0.15 ft

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grade=15%

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Step-by-step explanation:

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lyudmila [28]

Answer:

ans:

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for two triangle to be congruent corresponding sides and angle must be equal

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