<u>answer (in words)</u>
FALSE. the coordinate pair (5, 2) is not a solution to the equation 
. in order to figure out whether or not the statement is true or false, plug the 
and 
values from the coordinate pair (5, 2) into the given equation, . if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.
<em>(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)</em>
<u>answer (algebraic/steps for solving)</u>
first, plug in 5 for in the equation .
- ⇒
then plug in 2 for .
- ⇒
now your equation is . all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.
- ⇒
multiply 3 · 2.
- ⇒
add 10 + 6.
- ⇒
16 and 10 are <em>not</em> equal, therefore (5, 2) is not a solution to the equation . in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.
i hope this helps! have a great rest of your day <3
Answer:
hello your question is incomplete attached below is the complete question
answer :
H0 : <em> u </em>= 21.62 ( Null hypothesis )
H1 : <em> u</em> = 21.62 ( alternative hypothesis )
Step-by-step explanation:
Formulating hypothesis that can be used to determine whether the population mean rate at 5 CCF of residential water discharged by U.S public utilities differs from $21.62
H0 : <em> u </em>= 21.62 ( Null hypothesis )
H1 : <em> u</em> = 21.62 ( alternative hypothesis )
Answer:
16
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>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>
Leg <em>a</em> = <em>a</em>
Leg <em>b</em> = 12
Hypotenuse <em>c</em> = 20
<u>Step 2: Solve for </u><em><u>a</u></em>
- Substitute in variables [Pythagorean Theorem]: a² + 12² = 20²
- Evaluate exponents: a² + 144 = 400
- [Subtraction Property of Equality] Isolate <em>a</em> term: a² = 256
- [Equality Property] Square root both sides: a = 16
Answer:
$1.15
Step-by-step explanation:
0.05 × 23 = 1.15
hope this helps
Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
y = - 5x + 6 → (1)
y = 3x - 2 → (2)
Since both equations express y in terms of x, equate the right sides
3x - 2 = - 5x + 6 ( add 5x to both sides )
8x - 2 = 6 ( add 2 to both sides )
8x = 8 ( divide both sides by 8 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting x = 1 in (2)
y = 3(1) - 2 = 3 - 2 = 1
Solution is (1, 1 )
