Draw the image of △ABC, under a translation by 2 units down.

Mathematics

1 answer:

balu736 [363]3 years ago

5 0

Answer:

Point C would now be (6,0)

Point B would now be (0,-7)

Point A would now be (2,-6)

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Simplify the expression. Assume that all variables are positive. Exponents in simplified form should all be

Rainbow [258]

Given:

The given expression is $\frac{7^{\frac{1}{2}} \cdot 7^{\frac{3}{2}}}{7^{-3}}$

We need to determine the exponents in simplified form.

Exponents in simplified form:

Let us determine the exponent in simplified form.

Let us apply the exponent rule $\frac{x^{a}}{x^{b}}=x^{a-b}$

Thus, we have;

$7^{\frac{1}{2}+\frac{3}{2}-(-3)}$

Adding the fractions, we get;

$7^{\frac{4}{2}-(-3)}$

Cancelling the common terms, we have;

$7^{2-(-3)}$

Simplifying the exponent, we get;

$7^{2+3}$

Adding the exponent, we have;

$7^5$

Thus, the simplified form of the expression is $7^5$

8 0

3 years ago

Find the distance between (-4, 6) and (3,7)

Karo-lina-s [1.5K]

Answer:

Since its distance do the distance formula which is d= square root of x2-x1 squared plus y2-y1 squared. Plug in the numbers. in the square root house, it will be (3-(-4)) squared plus (7-6). Since its two negatives....it will be (3+4) squared plus 1 since 7-6=1. Then it will be the square root of 7 squared plus 1. it soon will be the square root of 50. You need to break the 50 apart to a perfect square. So find a perfect number....which have 2 multiples beside itself and 1. So 25 times 2 will be it since 25 is a perfect square. 50 squared equals the square root of 25 times 2. Now break the 25. it will be 5 times the radical of 2.

6 0

3 years ago

Allushta [10]

Answer:

First and last options are the correct answers

Step-by-step explanation:

$d = \sqrt {(x_2-x_1)^2 + (y_2-y_1)^2}$