Answer:
4. none of the above
Step-by-step explanation:
cos(x)=-1 is 180 where value x is.180
Answer:G,B and H
Step-by-step explanation:
Answer: 115, 2645
(x= 115, y= 2645)
Step-by-step explanation:
There are two methods to this, which is using the graph with each x and y value, or substituting in values.
I would suggest looking at the graph first and then substituting values so you know the equation is being satisfied by the ordered pair.
In this case, one way to check it could look like this (substituting y value):
y = 23x
2645 = 23x
x = 2645÷23
x = 115
Answer:
75
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Geometry</u>
- Sum of Angles in a Quadrilateral: 360
Step-by-step explanation:
<u>Step 1: Set up</u>
75 + 120 + 90 + ∠4 = 360
<u>Step 2: Solve</u>
- Add: 285 + ∠4 = 360
- [Subtraction Property of Equality] Subtract 285 on both sides: ∠4 = 75
Answer:
A two-digit number can be written as:
a*10 + b*1
Where a and b are single-digit numbers, and a ≠ 0.
We know that:
"The sum of a two-digit number and the number obtained by interchanging the digits is 132."
then:
a*10 + b*1 + (b*10 + a*1) = 132
And we also know that the digits differ by 2.
then:
a = b + 2
or
a = b - 2
So let's solve this:
We start with the equation:
a*10 + b*1 + (b*10 + a*1) = 132
(a*10 + a) + (b*10 + b) = 132
a*11 + b*11 = 132
(a + b)*11 = 132
(a + b) = 132/11 = 12
Then:
a + b = 12
And remember that:
a = b + 2
or
a = b - 2
Then if we select the first one, we get:
a + b = 12
(b + 2) + b = 12
2*b + 2 = 12
2*b = 12 -2 = 10
b = 10/2 = 5
b = 5
then a = b + 2= 5 + 2 = 7
The number is 75.
And if we selected:
a = b - 2, we would get the number 57.
Both are valid solutions because we are changing the order of the digits, so is the same:
75 + 57
than
57 + 75.
