What is the length of the diagonal of a rectangle

1 answer:

3 0

A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.

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Determine whether the point (1, 1) is a solution to the system of equations. Explain your reasoning in complete sentences. graph

erastova [34]

The solutions to system of equations are the point of intersection of the graphs of the equations.
The point of intersection of the graphs of the given equation is (0, 2). Therefore, point (1, 1) is not a solution to the system of equation.

6 0

3 years ago

Determine if the expression 9y5 – 10y3 is a polynomial or not. If it is a polynomial,

Stolb23 [73]

I am going to assume that the equation was supposed to be $9y^{5}$ $-10y^{3}$

Answer:

It is a polynomial. It is a binomial and it has a degree of 5.

Step-by-step explanation:

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables so $9y^{5}$ $-10y^{3}$ will be considered a polynomial.

A binomial is a polynomial with 2 terms.

The degree of a polynomial is the highest exponent in it which in this equation is 5.

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3 years ago

Give the intervals where f(x) is concave up. (enter your answer using interval notation. if an answer does not exist, enter dn

Kipish [7]

Concave up is U-shaped.
There will be a inflection/critical point f'(x) =0 then a negative slope f'(x) = neg then another inflection/critical point f'(x) =0 at the bottom of the U-shape then a positive slope to last inflection/critical point. The interval for the Concave Up shape is the first and last inflection points.

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3 years ago

Simplify the following

Goshia [24]

Answer:

Step-by-step explanation:

Using the rules of logarithms

log $x^{n}$ = nlogx