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frez [133]
2 years ago
10

Find one possible missing coordinate so that the point becomes a solution to the given inequality. (x, 8) is a solution to 3x -

4 < y. X =
​
Mathematics
1 answer:
Marina86 [1]2 years ago
6 0

Answer:

  x = 0

Step-by-step explanation:

Substituting the given "point" into the equation gives the possibilities for x.

<h3>Substitution</h3>

Using (x, y) = (x, 8), the inequality becomes ...

  3x -4 < 8

Solving for x gives ...

  3x < 12 . . . . . . . add 4

  x < 4 . . . . . . . divide by 3

Any value of x less than 4 will make (x, 8) a solution to the inequality. For example, ...

  x = 0 . . . . . . (0, 8) is a solution to the inequality

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△ABCis reflected to form​​ ​△A′B′C′​. The vertices of △ABC are A(3, 1), B(1, 5), and C(6, 9). The vertices of △A′B′C′ are A′(−1,
Blababa [14]

Answer:  D) reflection across y = -x

Explanation:

When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).

When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is (x,y) \to (-y,-x)

So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).

Similarly, B(1,5) moves to B ' (-5, -1)

Finally, C(6,9) becomes C ' (-9, -6)

5 0
3 years ago
To make concrete, the ratio of cement to sand is 1 : 3. If cement and sand are sold in bags of equal mass, how many bags of ceme
kotykmax [81]

Answer:

5 bags of cement are required.

Step-by-step explanation:

Since to make concrete, the ratio of cement to sand is 1: 3, if cement and sand are sold in bags of equal mass, to determine how many bags of cement are required to make concrete using 15 bags of sand the following calculation must be done:

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Therefore, 5 bags of cement are required.

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Andreas93 [3]
11.36 would be the answer
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alexgriva [62]
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