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Vinil7 [7]
3 years ago
14

Pls help!! Thank you sooooo much if you help me on this, pls show proof

Mathematics
1 answer:
Jobisdone [24]3 years ago
8 0

Answer:

√468 = 6√13

Step-by-step explanation:

ABCDEF is a regular hexagon of side length 6.

A'B'C'D'E'F' is the reflection of ABCDEF across BC.

The line FE' is the line from F to E'.  It is also the hypotenuse of the right triangle FEE'.  FE = 6, and EE' = 4a, where a is the apothem of the hexagon.

To find the apothem, draw the 30-60-90 triangle formed by the apothem and the radius (essentially 1/12th of the hexagon).

Using properties of a 30-60-90 triangle:

a = (6/2)√3

a = 3√3

4a = 12√3

Using Pythagorean theorem:

x² = (6)² + (12√3)²

x² = 36 + 432

x = √468

x = 6√13

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Can someone help me answer these two questions? I wanna know what's right and wrong. Please correct me if Necessary
agasfer [191]
Remember that the general equation of a line is y=mx+b, where:
m is the slope, and b is the y-intercept; so to find the y-intercept, solve for y and identify b.
Now, to find the x-intercept, just replace y in your line equation with 0, and solve for x
Lets apply those procedures to our two questions:

1. - y-intercept:
-10x+5y=40
5y=10x+40
y= \frac{10x+40}{5}
y=2x+8
Notice that now we have our line equation in the form y=mx+b with m=2 and b=8; sine b is the y-intercept, we can conclude that the y-intercept of our equation is 8.

x-intercept:
First, lets replace y with 0:
0=2x+8
And then, we can solve for x to find our x-intercept:
2x=-8
x= \frac{-8}{2}
x=-4
We can conclude that our x-intercept is -4; thus the correct answer in your list is the fourth one: x-intercept is -4; y-intercept is 8.

2. y-intercept:
5x+4y=80
4y=-5x+80
y= \frac{-5x+80}{4}
y=- \frac{5}{4} x+20
We can conclude that our y-intercept is 20.

x-intercept:
0=- \frac{5}{4} x+20
- \frac{5}{4} x=-20
x=( \frac{4}{5} )(20)
x=16
We can conclude that our x-intercept is 16; thus the correct answer in your list is, once again, the fourth one: x-intercept is 16; y-intercept is 20.

7 0
3 years ago
Consider the original parallelogram and the enlargement. A parallelogram has side lengths 5 millimeters and 10 millimeters. A la
konstantin123 [22]

Answer:

B=30mm

Step-by-step explanation:

According to the Question,

we have,  A parallelogram that has one side(A) 5 millimeters and the other side(C) 10 millimeters. A larger parallelogram has side one side(D) 15 millimeters.

The Enlargement Parallelogram And Original Parallelogram Sides Ratio Remain the same.

Therefore, A/C = D/B

5/10 = 15/B

B=150/5

B=30mm

4 0
3 years ago
Read 2 more answers
Katie knew that 70 + 70 = 140. Explain how she can use this double to solve 70 + 89.
grigory [225]
Just add 19 to 140.
8 0
4 years ago
Read 2 more answers
State the ex and Y intercepts for the given function and then graph the function 2X-3Y=6
Ivahew [28]

Answer:

  a)  (3, 0), (0, -2)

  b)  see below

Step-by-step explanation:

The x-intercept is found by setting y=0 and solving for x:

  2x = 6

  x = 6/2 = 3 . . . point (3, 0), x-intercept

The y-intercept is found by setting x=0 and solving for y:

  -3y = 6

  y = 6/-3 = -2 . . . point (0, -2), y-intercept

__

The graph is the line through these points.

3 0
3 years ago
The table below gives input and output values for the function h(x) = a^x.
masha68 [24]

Answer:

It's the first one.

hope it helps :)

Step-by-step explanation:

6 0
3 years ago
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