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3 years ago

In order to make the expression below equivalent to ğ x + 6, which additional operation should be included in the

Mathematics

1 answer:

kakasveta [241]3 years ago

5 0

Answer:

Step-by-step explanation:

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the point 3,2 lies on a circle.what is the exact length of the radius of this circle if the center is located at (-1,-4)

Crazy boy [7]

You can use the distance formula to solve this.

Distance Formula:
$d = \sqrt{(X_2 -X_1)^2 + (Y_2 - Y_1)^2}$

I am going to use point (3,2) as point 1 and (-1,-4) as point 2
Insert the points into the formula
$d = \sqrt{(X_2 -X_1)^2 + (Y_2 - Y_1)^2}$
$d = \sqrt{((-1) - 3)^2 + ((-4) - 2)^2}$
Solve:
$d = \sqrt{((-1) - 3)^2 + ((-4) - 2)^2}$
$d = \sqrt{(-4)^2 + (-6)^2}$
$d = \sqrt{16 + 36}$
$d = \sqrt{52}$
$d = \sqrt{52} = \sqrt{4}\sqrt{13}$
$d = \sqrt{52} = 2 \sqrt{13}$
$d = 2 \sqrt{13}$
$radius = 2 \sqrt{13} = 7.2111$

5 0

3 years ago

A forest covers 38,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How many acres of old-growth trees

TEA [102]

276 acres of old - growth trees

7 0

3 years ago

Six more than five times a number x is at least twenty one

LUCKY_DIMON [66]

5x3=15. 15+6=21. The answer would be 3

8 0

3 years ago

Sixty percent (60%) of those who attended the soccer game were parents. There were 120 people who

IrinaVladis [17]

Answer:

Step-by-step explanation:

<u>Given:</u>

There were 120 people in total.

60% were parents.

Number of parents attended.

Solution:

1. 60% of 120

It can also be written as:

$\frac{60}{100}\times \frac{120}{1}$

Simplify

Cancel zeros

$\frac{60}{100}\\\\=\frac{6}{10}$

Divide by common factor (2)

$\frac{6\div2}{10\div2}=\frac{3}{5}$

2. $\bold{\frac{3}{5}\times \frac{120}{1}}$

Multiply

$\frac{3\times120}{5\times1} = \frac{360}{5}$

Divide

$\frac{360}{5}= 360\div5=72$

Therefore, 72 parents attended the game.

4 0

3 years ago

A sociologist wishes to test . the sociologist takes a sample of size 100 and calculates a standardized test statistic of -2.34.

mariarad [96]

Answer:

One-sample Z-test

Step-by-step explanation:

As the sample size is greater than 30, assuming the data is a simple random sample, and that the data has a normal distribution, the sociologist should conduct a one-sample z-test to calculate the p-value.

3 0

2 years ago