Answer:
about 9.4 units
Step-by-step explanation:
Distance formula:
√(x1 - x2)² + (y2 - y1)²
Coordinates:
A (4, 2)
B (9, 10)
Let's make 9 = x1
Let's make 4 = x2
Let's make 10 = y1
Let's make 2 = y2
Substitute into the distance formula:
√(x1 - x2)² + (y2 - y1)²
√(9 - 4)² + (2 - 10)²
Solve:
√(9 - 4)² + (2 - 10)²
√(5)² + (-8)²
√25 + 64
√89
≈ 9.4
Therefore, the length of AB is approximately 9.4 units.
There will be a true-false test today. :)
I think what the teacher wants to express is that SI units are much more convenient to use than English units because the prefixes of the metric system will give you an idea on the conversion factor. Unlike English units, like ft to yard, there is no prefix to help you. You have to know the fact that 1 yard is equal to 3 feet.
The expression represented by 21 increased by twice Gail's height is 21 + 2g
<h3>What are expressions?</h3>
Expressions are mathematical statements that are represented by variables, coefficients and operators
<h3>How to translate the algebraic expression?</h3>
The expression is given as
21 increased by twice Gail's height
Where
g represents Gail's height
So, we have
21 increased by twice Gail's height ⇒ 21 increased by twice g
Twice means 2*
So, we have
21 increased by twice Gail's height ⇒ 21 increased by 2g
increased by means +
So, we have
21 increased by twice Gail's height ⇒ 21 + 2g
Hence, the expression represented by 21 increased by twice Gail's height is 21 + 2g
Read more about expressions at
brainly.com/question/22019327
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Since we don't know where to start, we can always give that a variable which in this case, it's X. Since we are finding the sum of three consecutive odd numbers, we will be skipping numbers so we can add 2 each time. Now, let's set up an equation.
<h2>
X + X + 2 + X + 4 = 159</h2><h2 /><h2>
3x + 6 = 159</h2><h2>
-6 -6 ← subtract 6 on both sides</h2><h2 /><h2>
3x = 153</h2><h2>
÷3 ÷3 ← divide both sides by 3</h2><h2 /><h2>
X = 51</h2><h2>
X + 2 = 53</h2><h2>
X + 4 = 55</h2><h2 />
Therefore, the smallest of our three consecutive integers is 51.
