Answer:
Step-by-step explanation:
Given: m∠1 = 62° and lines t and l intersect
Prove: m∠4 = 62°
Proof:
Statement Reason
m∠1 = 62° Given
m∠1 , m∠2 are supplementary t is a straight line hence linear pair.
m∠4 , m∠2 are supplementary r is a straight line hence linear pair.
Angle 2=180-62 = 118 Definition of supplementary angles
Angle 4 = 180-118 =62 -do-
Angle 1 = Angle 4 Equality property
Hence proved
Answer:
f=4-3t^2/t+1
Step-by-step explanation:
The x-intercepts of the given quadratic function are -2 and 9.
What is a quadratic function?
A quadratic function is a function represented as, f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabolic curve represents the graph of a quadratic function.
A polynomial's highest degree reveals how many roots the polynomial has. The values for which the polynomial's numerical value is equal to zero are known as a polynomial's roots (also known as zeros of a polynomial). On a graph, the points where the polynomial's graph and the x-axis cross are the roots (x-intercepts).
Roots of the Quadratic Equation
Due to its degree of 2, a quadratic function can only have a maximum of two real roots. In order to find the roots of a quadratic equation, we equate its factors to 0. Thus, in this case, we have,
(x+2)*(x-9)=0
∴ x+2=0
⇒ x=-2
Similarly,
x-9=0
⇒ x=9
Hence, the x- intercepts of the given quadratic function come out to be -2 and 9.
Learn more about a quadratic function here:
brainly.com/question/27958964
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Answer:
base area=16π in² height=6 in ⇒ base area= πr²
16π²=π(r)²
r=4 in
v=1/3 ×π (4)²×(6)
v=32π in²
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v=1/3 π(12/2)²×5
v=1/3π(31)×5=
v=60π in³
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v=1/3 π×(25×4)=
v=100π/3 in³
OAmalOHopeO
Here is the answer:
3,000,000 + 500,000 + 10,000 + 5,000 + 900 + 5 = 3,515,905
