Answer:
7/2
Step-by-step explanation:
2x=12-5....collectible like terms
2x=7
x=7/2...dividing both side by 2
Answer:
C. 17.6
General Formulas and Concepts:
<u>Math</u>
<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] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = 40°
Opposite Leg = <em>x</em>
Adjacent Leg = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [tangent]:
- [Multiplication Property of Equality] Isolate <em>x</em>:
- Rewrite:
- Evaluate:
- Round:
Answer:
y=7/3x²-13/3x+2
Step-by-step explanation:
<u>Determine the value of c:</u>
y=ax²+bx+c
2=a(0)²+b(0)+c
2=c
<u>Substitute (1,0) into the quadratic and create an equation with a and b:</u>
y=ax²+bx+2
0=a(1)²+b(1)+2
0=a+b+2
-2=a+b
<u>Do the same with (3,10) to get a second equation:</u>
y=ax²+bx+2
10=a(3)²+b(3)+2
10=9a+3b+2
8=9a+3b
<u>Set the two equations equal to each other and solve for a and b:</u>
-2=a+b
8=9a+3b
<u>Multiply first equation by 3 and eliminate b to find a:</u>
-6=3a+3b
- (8=9a+3b)
_______
-14=-6a
14/6=a
7/3=a
<u>Substitute 7/3=a into the first equation:</u>
-2=7/3+b
-2-(7/3)=b
-13/3=b
<u>Final equation:</u>
y=7/3x²-13/3x+2
See the graph for a visual representation
Answer:
See below
Step-by-step explanation:
I will describe this set in R³. Let P=(x,y,z) be a point equidistant to A and B, that is, the distance from P to A is equal to the distance from P to B.
First, using the usual distance formula, the distance from P to A is equal to
On the other hand, the distance form P to B is equal to
P is equidistant from A and B if and only if P satisfies the equation d(P,A)=d(P,B), that is,
Take the square in both sides of this equation to get
You can simplify using difference of squares and multiplying like this:
which is the equation of a plane.
Answer:
A. (2, 1)
D. (-2, -1)
E. (4, 2)
F. (3, 6)
Step-by-step explanation:
Use the equation and plug in each answer choice, and see if it matches.
The first number in the (,) is the x and the second is the y.. so
(3, 8)
3 = x
8 = y
example...
Option B. does not work because.
-2 x 0.5 = -1
Hope this helped! Please mark as brainliest! Thanks!