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NISA [10]
3 years ago
11

Alejandra correctly wrote the equation y – 3 = y minus 3 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 10 r

ight-parenthesis.(x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
y – 6 = 2(x – 10)
y – 2 = y minus 2 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 10 right-parenthesis.(x – 10)
y – 3 = y minus 3 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 2 right-parenthesis.(x – 2)
y – 3 = 2(x – 10)
Mathematics
2 answers:
Allushta [10]3 years ago
8 0

Answer:

y – 3 = 2(x – 10)

Step-by-step explanation:

Delvig [45]3 years ago
6 0

Answer:

  y – 3 = 2(x – 10)

Step-by-step explanation:

In point-slope form, the equation is written ...

  y -k = m(x -h) . . . . . . . for line with slope m through point (h, k)

If only the slope changes, only the value just outside parentheses changes. When the point is (10, 3) and the new slope is 2, the new equation is ...

  y -3 = 2(x -10)

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Prove: If n is a positiveinteger and n2 is<br> divisible by 3, then n is divisible by3.
notka56 [123]

Answer:

If n^2 is divisible by 3, the n is also divisible by 3.

Step-by-step explanation:

We will prove this with the help of contrapositive that is we prove that if n is not divisible by 3, then, n^2 is not divisible by 3.

Let n not be divisible by 3. Then \frac{n}{3} can be written in the form of fraction \frac{x}{y}, where x and y are co-prime to each other or in other words the fraction is in lowest form.

Now, squaring

\frac{n^2}{9} = \frac{x^2}{y^2}

Thus,

n^2 = \frac{9x^2}{y^2}

\frac{n^2}{3} = \frac{3x^2}{y^2}

It can be clearly seen that the fraction \frac{3x^2}{y^2} is in lowest form.

Hence, n^2 is not divisible by 3.

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A shopper paid $2.52 for 4.5 pounds of potatoes, $7.75 for 2.5 pounds of broccoli and $2.45 f0r 2.5 pounds of pears. What is the
denis23 [38]
Unit rate refers to how much the buyer paid per unit. Let’s do the math:

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Divide $2.52 by 4.5
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