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Brilliant_brown [7]
3 years ago
11

How many lines of symmetry

Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0
I believe it's 4 lines
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you were planning to use a ceramic tile design in your new bathroom. The towels are blue and white equilateral triangle of you d
Sonja [21]
I found the image that should have accompanied this problem.

Given:
equilateral triangle with sides that measures 7cm.
hexagonal shape meaning 6 sides or 6 equilateral triangles used.

Area of an equilateral triangle = √3/4 * a²
A = √3 /4 * (7cm)²
A = 1.73/4 * 49cm²
A = 21.20 cm²

21.20 cm² * 6 tiles = 127.20 cm²  ARea of the hexagon.


7 0
4 years ago
Solve and show steps -2x+y=-7 and -2x-4y=-12
WITCHER [35]

Answer:

  (x, y) = (4, 1)

Step-by-step explanation:

The coefficients of x are the same, so we can cancel the x-terms by subtracting one equation from the other. We want to do this so the resulting y-coefficient will be positive. That means we want to subtract the second equation from the first:

  (-2x +y) -(-2x -4y) = (-7) -(-12)

  5y = 5 . . . . . . . . simplify

  y = 1 . . . . . . . . divide by 5

  -2x +1 = -7 . . . . . substitute for y in the first equation

  -2x = -8 . . . . . subtract 1

  x = 4 . . . . . . divide by -2

The solution is (x, y) = (4, 1).

_____

A graphing calculator easily verifies the solution.

6 0
3 years ago
The graph of f(x) = (0.5) is replaced by the graph of g(x) = (0.5)x - k. If g(x) is obtained by shifting f(x) down by 3 units, t
cricket20 [7]

Recall that the the vertical shifting of functions is associated with the numerical value that is added to the original one. A possitive value k will shift the function k units up, and a negativa value (or subtracting k) will move it vertically down k units.

If I understand correctly, you forgot to type an "x"in the original function f(x), which should read:

f(x) = 0.5 x

Correct?

The new graph is g(x) = 0.5 x - k which is obtained by shifting the original f(x) DOWN by 3 units.

In order to shift the graph of f(x) DOWN three units, we need to SUBTRACT 3 from f(x), leading to : 0.5 x - 3

Therefore, the value of "k"in the given g(x) = 0.5 x - k must be 3.

which agrees with the last option in your list (option D)

5 0
1 year ago
jim and lisa had a total of $300. After jim boughy a jacket with 2/3 if her money,she had $90 less than lisa. find the cost of t
Yuri [45]

Answer:

$84

Firstly, what we must do, is establish a system of equations:

\frac{2}{3}J = L -90

J + L = 300

Due the circumstances, it is decided we will use the method of substitution:

\frac{2}{3}J = L - 90

\frac{2}{3}J + 90 = L

          ↓

J + \frac{2}{3}J + 90 = 300

Now, we solve the 2-variable equation above:

J + \frac{2}{3}J + 90 = 300

J + \frac{2}{3}J = 300 - 90

J + \frac{2}{3}J = 210

J(3) + (\frac{2}{3}J)(3) = 210(3)

3J + 2J = 630

5J = 630

J = \frac{630}{5}

\bf~J = 126

Now, we must see how much money each one of them had & the price of the jacket:

Now we know that Jim had $126. In other words, $126 is \frac{3}{3} of his money (total money).

So, if Jim has $126, which corresponds to \frac{3}{3} of his money, \frac{2}{3} of his money is:

\frac{126}{3} = 42

126 * \frac{2}{3} = 42 + 42

\bf~126 * \frac{2}{3} = 84

Hope it helped,

BiologiaMagister

3 0
3 years ago
The first painter can finish a paint job in two hours. The second painter can finish the same job in 8 hours. How long will it t
____ [38]
2+8 =10
10/2=5

The answer should be 5 hours.
5 0
3 years ago
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