Answer:
<h2>(0.5, 0.5)</h2>
Step-by-step explanation:
The formula of a midpoint of a segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂):
From the graph we have the points A(-2, 4) and C(3, -3).
Substitute:
Answer:
The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
Step-by-step explanation:
I hope this helped ;)
Answer:
a.) The sum of the weights of the two in insects is 0.0031 grams. (0.0031 grams)
b.) The fly is 0.0013 grams heavier than the gnat. (0.0013 grams)
Step-by-step explanation:
2.2 * 10^-3 = 2.2 * 1/1000 which is 2.2/1000.
9 * 10^-4 = 9 * 1/10000 = 9/10000
To add 9/10000 to 2.2/1000 we have to find the common denominator, which will be 10000.
So we do:
2.2/1000 * 10/10 = 22/10000
9/10000 + 22/10000 = 31/10000 = 0.0031.
The sum of the weights of the two in insects is 0.0031 grams.
To find how much heavier the fly is than the gnat we do:
22/10000 - 9/10000 = 13/10000 = 0.0013
The fly is 0.0013 grams heavier than the gnat.
Answer: the speed of the river is 9km/h
Step-by-step explanation:
Let x represent the speed of the river current.
He rides 140 km downstream in a river in the same time it takes to ride 35km upstream. This means that his speed was higher when riding downstream and it was lower when riding upstream.
Assuming he rode in the direction of the river current when coming downstream and rode against the current when going upstream.
time = distance/speed
Manuel has a boat that can move at a speed of 15 km/h
His downstream speed would be
15 + x
time spent coming downstream would be
140/(15 + x)
His downstream speed would be
15 - x
time spent going downstream would be
35/(15 - x)
Since the time is the same, then
140/(15 + x) = 35/(15 - x)
Crossmultiplying
140(15 - x) = 35(15 + x)
2100 - 140x = 525 + 35x
140x + 35x = 2100 - 525
175x = 1575
x = 1575/175
x = 9
Answer:
C. -2x + 80
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
8 - 2(3x - 36) + 4x
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute -2: 8 - 6x + 72 + 4x
- [Addition] Combine like terms (x): -2x + 8 + 72
- [Addition] Combine like terms (Z): -2x + 80
