Here in the second term I am considering 2 as power of x .
So rewriting both the terms here:
First term: 12x²y³z
Second term: -45zy³x²
Let us now find out whether they are like terms or not.
"Like terms" are terms whose variables (and their exponents such as the 2 in x²) are the same.
In the given two terms let us find exponents of each variable and compare them for both terms.
z : first and second term both have exponent 1
x: first and second term both have exponent 2
y: first and second term both have exponent 3
Since we have all the exponents equal for both first and second terms variables, so we can say that the two terms are like terms.
Answer:
StartFraction 3 Over x EndFraction + StartFraction 4 Over x squared EndFraction
Step-by-step explanation:
Answer:
y=2/5x+4 Answer: A)
Step-by-step explanation:
Answer: C (Rotation, Translation and Reflection )
Step-by-step explanation:
A congruence transformation is the type that won't change the shape of the triangle.
They are the reflections(flips), rotations(turns) and translations(slides).
Answer: 16) Vertex = (3, 39)
17) Vertex = (-2, -17)
<u>Step-by-step explanation:</u>
When given the standard form of a quadratic equation: ax² + bx + c
use the Axis of Symmetry formula to find the x-value of the vertex. x = -b/(2a)
Then plug the x-value into the given equation to find the y-value.
16) y = -x² + 6x + 30
↓ ↓ ↓
a= -1 b=6 c=30
Max: y = -(3)² + 6(3) + 30
= -9 + 18 + 30
= -9 + 48
= 39
Vertex: (3, 39)
***************************************************************************************
17) y = 3x² + 12x - 5
↓ ↓ ↓
a= 3 b=12 c= -5
Min: y = 3(-2)² + 12(-2) - 5
= 3(4) - 24 - 5
= 12 - 29
= -17
Vertex: (-2, -17)
