Answer:
x = 15
Step-by-step explanation:
Consider the right triangle on the left with hypotenuse h₁ , then
Using Pythagoras' identity
h₁² = x² + 9²
Consider the right triangle on the right with hypotenuse h₂ , then
h₂² = x² + 25²
Now consider the large right triangle with legs h₁ and h₂ , then
h₁² + h₂² = (9 + 25)² , substitute values
x² + 9² + x² + 25² = 34² , that is
2x² + 81 + 625 = 1156
2x² + 706 = 1156 ( subtract 706 from both sides )
2x² = 450 ( divide both sides by 2 )
x² = 225 ( take the square root of both sides )
x = = 15
Answer:
See below.
Step-by-step explanation:
<u>Part A:</u>
y = -3x + 2
y = -3x + 10
y = -3x
<u>Part B:</u>
y = 2x + 5
y = -3x + 5
y = -2x + 5
<u>Part C:</u>
y = -3x + 5
There can only be one line with this slope and intercept because the expression is very simple. There are only two pieces of information that define a straight line: slope and intercept. There is nothing else that can be altered to impact the line.
let's take a peek at some consecutive integers
2, 3, 4, 5, 6, 7......
notice, to get a consecutive from any of those, we simply hop back or forth one number, 5±1 gives us the consecutive ones of 4 and 6.
so let's say our first integer is "a", then our next one is "a + 1", and we know they sum up to -67.
Answer:
100÷5=20
The object moves at the speed of 20m per second
10 phone called. Since he has already spent 2 minutes in the phone, we can subtract 2 from 32 making it 30. He spends 3 minutes per call, so if you divide 30/3, you get 10.
To check. 3 mins • 10 calls is 30 mins total. Adding the 2 that he already spent, that’s 32 minutes.