My textbook doesn't explain square roots well. Can someone help me understand? Example 1 is the square root of 9

1 answer:

7 0

A square root is doing the opposite of squaring. Squaring is multiplying a number by itself. Square rooting is trying to figure out what number squares into the number you have currently.
For your Example 1, the square root of 9 is 3.
3 x 3 = 9.
Some better examples are:
4 x 4 = 16.
4 is the square root of 16, and 16 is the square of 4.

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Jessica has a penny and a nickel. She flipped both coins. What are the chances that both coins land on tails?

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Answer:

Step-by-step explanation:

Here is a list of possible outcomes.

Penny nickel

Heads heads

Heads tails

tails Heads

tails tails

Since there are four ways the two coins can land, the chances of getting tails - tails is 1 chance in 4.

7 0

2 years ago

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Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D

polet [3.4K]

Given:
A has coordinates (-6,5)
C has coordinates (3.6,-0.4).
C divides AB in the ratio 3:2.

Refer to the diagram shown below.
The coordinates of B are determined by
$\frac{3.6-(-6)}{x-(-6)} = \frac{3}{3+2} \\ \frac{9.6}{x+6} = \frac{3}{5} \\ 3(x+6) = 48 \\ 3x +18=48 \\ x=30/3=10$
Also,
$\frac{5-(-0.4)}{5-y} = \frac{3}{5} \\ 3(5-y) = 27 \\ 15-3y=27 \\ y= \frac{12}{-3} =-4$

Answer:
The coordinates of B are (10,-4).

Now, we know the coordinates of line segment AB as A (-6, 5) and B (10,-4).
D (x,y) divides AB in the ratio 4:5.
Therefore
$\frac{x-(-6)}{10-(-6)} = \frac{4}{4+5} \\ \frac{x+6}{16} = \frac{4}{9} \\ 9(x+6)=64 \\ 9x+54=64 \\ x=1.11$
Also,
$\frac{5-y}{5-(-4)} = \frac{4}{9} \\ 5-y = 4 \\ y = 1$

Answer:
The coordinates of D are (1.11, 1)