Answer:
-6x
Step-by-step explanation:
2. ( 1/10 x 1/10 x 1/10 )^3
3. ( 10 x 10 x 10 )^-2
Step-by-step explanation:
1. (1/10 × 1/10 × 1/10 × 1/10)^2
(10^-4)^2
10^-8
2. (1/10 × 1/10 × 1/10)^3
(10^-3)^3
10^-6
3. (10 × 10 × 10)^-2
(10^3)^-2
10^-6
Question
Write as a single exponent.
1. ( 1/10 x 1/10 x 1/10 x 1/10 )^2
2. ( 1/10 x 1/10 x 1/10 )^3
3. ( 10 x 10 x 10 )^-2
The equation of the line that is tangent to the circle at (8, -2) is:
We know that the line which is tangent at a point on a circle is perpendicular to the line joining the center of the circle and that point.
Here we are given the equation of a circle as:
The center of the circle is at: (3,-2)
( Since, the standard form of a circle with center at (h,k) and radius r is given by:
)
Also, the equation of a line joining (3.-2) and (8,-2) is given by:
Also, we know that the slope of this line is zero.
Also, we know that if two lines are perpendicular with slope m and m' respectively then,
Hence, we get that the slope of the tangent line is:
Also, we know that:
The equation of a line with given slope m' and a passing through point (a,b) is given by:
Here (a,b)=(8,-2)
and
i.e. the equation of the tangent line is:
According to the Fundamental Theorem of Algebra, the roots exist for the polynomial function is
Further explanation:
The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.
The polynomial function has n roots or zeroes.
Degree is highest power of the polynomial function.
Given:
The polynomial function is
Explanation:
The polynomial function has seven zeroes as the degree of the polynomial is 7.
According to the Fundamental Theorem of Algebra, the roots exist for the polynomial function is
Learn more:
1. Learn more about inverse of the functionbrainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Polynomials
Keywords: quadratic equation, equation factorization. Factorized form, polynomial, quadratic formula, zeroes, Fundamental Theorem of algebra, polynomial, seven roots.
Tom starts to lay the bricks at 9 a.m
He has half an hour break at 11 a.m
He has another half an hour break at 1 p.m
What time should Tom finish laying the 180 bricks?