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4 years ago

Factor as the difference of squares

Mathematics

1 answer:

FromTheMoon [43]4 years ago

8 0

$( {x}^{2} + 1)( {x}^{2} - 1)$

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Write the equation of this circle in standard form.<br> please give answer?

Law Incorporation [45]

Given the center $(x_0,y_0)$ and the radius $r$ of a circle, its equation is

$(x-x_0)^2+(y-y_0)^2=r^2$

In your case, the center is (-4,0), and the radius is 2. Plug these values into the generic formula and you'll get the equation.

3 0

3 years ago

A company has 8 mechanics and 6 electricians. If an employee is selected at random, what is the probability that they are an ele

Andre45 [30]

Answer:

$Probability = \frac{3}{7}$

Step-by-step explanation:

Given

Electrician = 6

Mechanic = 8

Required

Determine the probability of selecting an electrician

First, we need the total number of employees;

$Total = n(Electrician) + n(Mechanic)$

$Total = 6 + 8$

$Total = 14$

Next, is to determine the required probability using the following formula;

$Probability = \frac{n(Electrician)}{Total}$

$Probability = \frac{6}{14}$

Divide numerator and denominator by 2

$Probability = \frac{3}{7}$

<em>Hence, the probability of selecting an electrician is 3/7</em>

4 0

3 years ago

5+7k>=-30 and -4k +4>20

Slav-nsk [51]

Answer:

$\large\boxed{-5\leq k$

Step-by-step explanation:

$5+7k\geq-30\ \wedge\ -4k+4>20\\\\5+7k\geq-30\qquad\text{subtract 5 from both sides}\\7k\geq-35\qquad\text{divide both sides by 7}\\\boxed{k\geq-5}\\\\-4k+4>20\qquad\text{subtract 4 from both sides}\\-4k>16\qquad\text{change the signs}\\4k$

7 0

3 years ago

Find the value of x. Write your answer in simplest form.

Brilliant_brown [7]

Answer:

by using Pythagoras theorm

${x}^{2} + {x}^{2} = {(9 \sqrt{2)} }^{2} \\ 2 {x}^{2} = 81 \times 2 \\ 2 {x}^{2} = 162 \\ {x}^{2} = 81 \\ x = \sqrt{81} \\ x = 9$

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Someone help plzzzzz

slavikrds [6]

Answer:

8.5

Step-by-step explanation:

4 0

3 years ago