Answer:
I would change 2x+4y=24 into x=12–2y
To do that, divide both sides by 2 and then subtract 2y on each side.
After that, substitute for x. 3x+2y=19 would become 3(12–2y)+2y=19.
Then solve.
3(12–2y)+2y=19
36–6y+2y=19
-4y+36=19
-4y=-17
y=4.25
Then, substitute y in either equation.
Either this:
3x+2y=19
3x+2(4.25)=19
3x+8.5=19
3x=10.5
x=3.5
Or:
2x+4y=24
2x+4(4.25)=24
2x+17=24
2x=7
x=3.5
Or you could solve it in the equation you created in the beginning:
x=12–2y
x=12–2(4.25)
x=12–8.5
x=3.5
The coordinates where the lines intercept are (3.5, 4.25).
Sorry for the long answer!
Answer:
It is important because it allows you to calculate the surface area of a trapezoidal prism
Step-by-step explanation:
The number of ways when the choice is not relevant is 4
<h3>How to determine the number of ways?</h3>
The number of colors are:
Colors, n = 4
The color to choose are:
r = 3
<u>Relevant choice</u>
When the choice is relevant, we have:
This gives
Evaluate
Ways = 24
Hence, the number of ways when the choice is relevant is 24
<u>Not relevant choice</u>
When the choice is not relevant, we have:
This gives
Evaluate
Ways = 4
Hence, the number of ways when the choice is not relevant is 4
Read more about combination at:
brainly.com/question/11732255
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Answer:
Sample Response: Perform the transformations from right to left. First, rotate the triangle 90 degrees. Negate the y-coordinate and then switch the coordinates to get (–1, 0). Next, perform the translation up by adding 0 to the x-coordinate and 2 to the y-coordinate to get (–1, 2). Finally, reflect this point over the y-axis by negating the x-coordinate to get (1, 2).
Step-by-step explanation:
<span>x²-x-30=0
factor this equation first
(x-6)(x+5) = 0
x - 6 = 0
x + 5 = 0
x = 6 , x = -5
</span>
