Answer:
f(2) = -2
Step-by-step explanation:
Substitute 2 everywhere you see an x so f(2) = -2(
) - 2(2) + 10 so
f(2) = -2(4) - 4 + 10, so f(2) = -8-4+10, f(2) = -12+10, f(2) = -2
Answer:
(-5/2, 3/2)
Step-by-step explanation:
[(-5.5+.5)/2, (9.1-6.1)/2)} = (-5/2, 3/2)
The answer is 14 bolts.
1 dozen bolts have 12 bolts.
7 dozen bolts have x bolts
___
1 : 12 = 7 : x
x = 7 * 12 : 1
x = 84 bolts
1 bin has 7-dozen bolts (84 bolts).
1/6 bin has x bolts
1 : 84 = 1/6 : x
x = 84 * 1/6 : 1
x = 84/6 = 14 bolts
Option d) is correct, i.e. a rotation, then a dilation. Transformation will create a pair of similar but not congruent triangles.
Which composition of transformations will create a pair of similar, not congruent triangles?
<h3>What is congruent geometry?</h3>
In congruent geometry, the shapes that are so identical. can be superimposed to themselves.
When triangle is rotated, than position of angles will change. Aftermath the dilation of the triangle would increase the proportion of the sides, but angles remains equal, by which the triangle remain similar but not congruent.
Thus, a rotation, then a dilation transformation will create a pair of siilar but not congruent triangles.
Learn more about congruent geometry here.
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Problem 1
Answer: C) No solution
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Explanation:
We have z = -4 and 4z = -4 at the same time. Solving 4z = -4 leads to z = -1
So in effect we have z = -4 and z = -1 at the same time, but this is a contradiction. A variable can only hold one number at a time.
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Problem 2
Answer: C) Infinitely many solutions
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Explanation:
The two equations are equivalent. You can prove as such by isolating 2y in the first equation.
5x = 8-2y
5x+2y = 8
2y = 8-5x
2y = -5x+8
-5x+8 = 2y
This shows the first equation is equivalent to the second, and vice versa. They both graph the same line. Any point along the line is a solution. So that's why there are infinitely many of them.
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Problem 3
Answer: Choice A) 
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Explanation:
The range is the set of the possible y values. We're concerned with every y coordinate of each (x,y) solution. So we only focus on the shaded region.
The dashed line means we exclude the boundary. It's an electric fence we cannot touch. So y > -6 or -6 < y describes part of the range
The other part is
since y = 3 is the when the highest point occurs.
So writing
describes all possible y values of each (x,y) solution in the shaded region.