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4 years ago

Solve 3x 2 + 2 = 11 - x 2

1 answer:

4 0

$3x^2 + 2 = 11 - x^2\\\\ 3x^2+x^2=11-2\\\\ 4x^2=9\\\\(2x)^2=3^2\\\\ |2x|=3\\\\ 2x=3 \ or \ 2x=-3\\\\ x=\frac{3}{2} \ or \ x=-\frac{3}{2}$

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What is the slope of the line that passes through the pair of points (-1, 4), (3,12)

Nadya [2.5K]

Answer:

$\displaystyle m = 2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Identify

Point (-1, 4)

Point (3, 12)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{12-4}{3--1}$
[Fraction] Subtract: $\displaystyle m = \frac{8}{4}$
[Fraction] Divide: $\displaystyle m = 2$

3 0

3 years ago

What is the simplified form of the expression -2(-5x - 8)?

Deffense [45]

Answer: 10x+16

Step-by-step explanation:

Use the distributive property a(b+c)= ab+ac

-2(-5x-8) = (-2 * -5x) - (-2* -8)

10x-(-16)

=10x+16

Hope this helped!

3 0

3 years ago

If x=-7 is a root of the equation x^2+kx+49=0, then k=

aleksley [76]

Answer:

$k=14$

Step-by-step explanation:

Given:

$x^{2}+kx+49 = 0$

$x = -7$

Substitution can be used to find the value of $k$ :

$(-7)^{2}+(-7)k+49 = 0$

$49-7k+49 = 0$

$98 -7k = 0$

$k = 14$

Hope this helps :)

8 0

3 years ago

A recent survey determined the IQ score of a random selection of residents of Alaska. The accompanying relative frequency distri

ycow [4]

Answer:

The class width is 20

Step-by-step explanation:

In a frequency or a relative frequency distribution the class width is calculated as the difference between the lower or upper class limits of consecutive classes. A point to note is that all the categories or classes usually have the same class width.

We use the first two classes to calculate the class width by using their respective upper limits;

Class width = 89 - 69

Class width = 20

4 0

3 years ago

How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed?

sveta [45]

There are 6 digits. Each digit can take ten different numbers except for the first digit since it cannot be zero.

So:

9 x 10 x 10 x 10 x 10 x 10

900000 numbers.

Another way of thinking about this is to just count up to 999,999. Obviously there are 999,999 different numbers here. But since our number has to have 6 digits in them, we have to delete 99,999 numbers. Thus there are 900,000 different numbers.

6 0

3 years ago