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VLD [36.1K]
3 years ago
8

If the ordinate equals the abscissa and x {-3, 0, 12}, which of the following sets of ordered pairs satisfies the given conditio

ns?
{(3, -3), (0, 0), (-12, 12)}
{(-3, 3), (0, 0), (12, -12)}
{(-3, -3), (0, 0), (12, 12)}
Mathematics
1 answer:
aleksandrvk [35]3 years ago
8 0

Answer:

<h2>The set of ordered pairs is {(-3,-3),(0,0),(12,12)}</h2>

Step-by-step explanation:

ordinate is the x- value and

abscissa is y- value

but x={-3,0,12}

then the value of x and y are equal

in ordered pairs will be

{(-3,-3),(0,0),(12,12)}

so, the answer is {(-3,-3),(0,0),(12,12)}

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Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure. Step 1: Find the greatest common
Vedmedyk [2.9K]

Answer:

Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple

Step-by-step explanation:

The given side lengths are;

21, 28, and 35

From the given side lengths, the greatest common factor = 7

Therefore, we have;

3 × 7, 4 × 7, and 5 × 7

A Pythagorean triple is formed by three numbers, 'a', 'b', and, 'c', which are both positive and integers, that are related as follows;

c² = a² + b²

Therefore, for the three numbers, we get;

3, 4, and 5 is a Pythagorean triple

5² = 3² + 4²

Multiplying both sides by 7² gives;

(5)² × (7)² = (3)² × (7)² + (4)² × (7)²

By the laws of indices, (a·b)ⁿ = aⁿ × bⁿ

Therefore;

(5 × 7)² = (3 × 7)² + (4 × 7)²

Therefore, multiplying every length of the Pythagorean triple by the same whole number results in a Pythagorean triple.

(The relationship can also be shown using similar triangles, as multiplying the side lengths of a triangle by the same whole number, gives a similar triangle, having the same relationship between its sides)

3 0
3 years ago
Can someone please help me?
NNADVOKAT [17]

1. 4 x 2 x 7 = 56

2. 2 x 8 x 3 = 48

56 + 48 = 104

Good Luck!

8 0
3 years ago
Read 2 more answers
What is the distribution property of 4 times 37
hjlf

Answer:

  4(30 +7) = 120 +28 = 148

Step-by-step explanation:

When applying the distributive property to integers, we usually break them apart according to place value. That is not the only way it can be done.

  4×37 = 4(30 +7) = 4·30 +4·7 = 120 +28 = 148

___

You can also break apart 37 other ways:

  4×37 = 4(35 +2) = 4·35 +4·2 = 140 +8 = 148

  4×37 = 4(40 -3) = 4·40 -4·3 = 160 -12 = 148

Or, you can break apart 4:

  37×4 = 37(2 +2) = 37·2 +37·2 = 74 +74 = 148

_____

The distributive property is usually written in generic form as ...

  a(b+c) = ab +ac

Then you may want to stop after the first couple of steps:

  4(30 +7) = 4·30 +4·7

We can't tell if you're suppose to evaluate the expression or not. Check your reference materials for an example of this kind of problem.

7 0
3 years ago
The square root of 36y^3 =
Aleks04 [339]
The square roots of 36y^3 are plus and minus 6y^(3/2) .
6 0
3 years ago
A restaurant manager can spend at most $400 a day for operating costs and payroll. It costs $100 each day to operate the bank an
horrorfan [7]

Answer:

The restaurant Manager can afford 6 employees for the day.

Step-by-step explanation:

Manager can spend at most of $400.

Total Money ≤ $400

Cost to operate bank = $100

Cost for each employee = $50

Let number of employees for the day bex

Hence the equation will become;

50x + 100 \leq 400

Solving this equation we get;

50x + 100 \leq 400\\50x \leq 400-100\\50x \leq 300\\x\leq \frac{300}{50}\\\\x\leq 6

Hence, The restaurant Manager can afford 6 employees for the day.

3 0
4 years ago
Read 2 more answers
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