Answer:
PEMDAS is a great way to figure this out!
P - Parenthesies
E - Exponents
M - Multiplcation
D - Division
A - Addition
S - Subtraction
Follow this order and you should be good to go! Here's how I would follow this in this equation.
11x-2-3(1-7x)^2+(x+1)
First, parentheses
The 3 directly next to the parenthesies shows that everything inside of the () needs to be multiplied by 3.
-3*1 and -3*-7x (don't forget the negative)
This gives us 11x-2+(-3+21x)^2+(x+1)
Now distribute the exponents to everything inside of the parentheses.
11x-2+-3^2+21x^2+(x+1)
now solve the numbers with exponents without a variable.
3^2 = 3*3 = 9
combine any numbers without a variable outside of parentheses
11x-2+9+21x^2+(x+1)
11x+7+21x^2+(x+1)
From here, what I would do is divide the whole equation by 2
5.5x+3.5+21x+(.5x+.5)
now combine x values outside of parentheses
3.5+26.5x+(.5x+.5)
I believe this would be the simplest form, but please do correct me if I'm wrong or made any errors
1.
The rate at which Leonard bought was 2 packs per x dollars,
that is his buying rate was (2 packs)/(x dollars)=2/x (p/$)
2.
with 1 $ Leonard buys 2/x packs
then
with 5 $ Leonard buys (2/x)*5 = 10/x packs.
Answer: 10/x packs
start inside the square root, replace X with -7.
-7 + 11 = 4
The number 4 comes out of the square root as 2.
Now there's a minus factor out there. Let's multiply this negative factor by 2 and get -2.
Now let's add -2 and -3.
Our output is -5.
All you do is look at the first number and see which is greater than you will get your answer glad to help btw if you cant get it it's Maurice
Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
x = 45°.
There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2
Another way to do it is the longer proof of Pythagorean Theorem:
