Answer: The midpoint is (-3, 2.5)
Step-by-step explanation:
-To find the midpoint, you need the formula for the midpoint:
![(\frac{x_{1} + x_{2}}{2},\frac{y_{1}+y_{2}}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_%7B1%7D%20%2B%20x_%7B2%7D%7D%7B2%7D%2C%5Cfrac%7By_%7B1%7D%2By_%7B2%7D%7D%7B2%7D%29)
-Next, use the two points (-2,4) and (-4,1) for that formula:
![(\frac{-2-4}{2},\frac{4+1}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B-2-4%7D%7B2%7D%2C%5Cfrac%7B4%2B1%7D%7B2%7D%29)
-Then, you solve:
![(\frac{-2-4}{2},\frac{4+1}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B-2-4%7D%7B2%7D%2C%5Cfrac%7B4%2B1%7D%7B2%7D%29)
![(\frac{-6}{2} , \frac{5}{2} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B-6%7D%7B2%7D%20%2C%20%5Cfrac%7B5%7D%7B2%7D%20%29)
![(-3,2.5)](https://tex.z-dn.net/?f=%28-3%2C2.5%29)
So, therefore the midpoint is (-3, 2.5).
Answer:
6.96*1000 this is the standard form ok
Answer:
There are a total of 70 cows in the herd.
Step-by-step explanation:
Represent the total number of cows by c. Then 0.20c = 14, and
c = 14/0.20 = 70.
There are a total of 70 cows in the herd.
Answer:
a = 6
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>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>a</em> = <em>a</em>
<em>b</em> = 8
<em>c</em> = 10
<u>Step 2: Solve for </u><em><u>a</u></em>
- Substitute in variables [Pythagorean Theorem]: a² + 8² = 10²
- Evaluate exponents: a² + 64 = 100
- [Subtraction Property of Equality] Subtract 64 on both sides: a² = 36
- [Equality Property] Square root both sides: a = 6