Answer:
Enlargement
k =
=
Step-by-step explanation:
k =
If k > 1 then its an enlargement.
If k < 1 then its a reduction
Answer:
Since both have equal length
9x - 2 = 6x + 13
9x - 6x = 13 + 2
3x = 15
x = 15/3
x = 5
Length of BC = 6(5) + 13 = 43 cm
<h3>
Answer:</h3>
18. x = y = -3
21. y was substituted into the wrong equation. The solution is (x, y) = (2, 1).
<h3>
Step-by-step explanation:</h3>
18. Adding y to the first equation transforms it to ...
... x = y
Then you can substitute for either variable in the second equation.
... 2y -5y = 9 . . . . . substitute for x
... -3y = 9 . . . . . . . . simplify
... y = -3 . . . . . . . . . divide by the coefficient of y
.. x = -3 . . . . . . . . . x and y have the same value
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21. The first equation is being used to find an expression for y in terms of x. If you substitute that expression back into the same equation, it will tell you nothing you didn't already know. (Here, it is telling you 5 = 5.) The expression is only useful if you <em>substitute it into a different equation</em>. Here, it needs to be substituted into the second equation:
... <u>Step 2</u>: 3x -2(-2x+5) = 4 ⇒ 7x -10 = 4 . . . . . substitute for y in the second eqn
... <u>Step 3</u>: 7x = 14 . . . . . add 10
... <u>Step 4</u>: x = 2 . . . . . . . divide by 7
... <u>Step 5</u>: y = -2·2 +5 = 1 . . . . . find the value of y from x using the expression from step 1. Now, you know the solution is (x, y) = (2, 1).
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The attached graph shows the solution to the problem of 21.
Well, if you wanted the answer, it is provided in the picture that you yourself have uploaded. However, if need more clarification on how to find that answer. Here I go.
So, you can ask yourself, how many numbers are on the cube? 6, from 1-6. So there are 6 possible outcomes. Now between the numbers 1, 2, 3, 4, 5, 6, how many are the numbers 2, 3, or 4? There are 3, so it is 3/6, 1/2, 50%, or 0.5.