Answer:
The length of the rectangle is;
5x(x+13)/(x-5)
Step-by-step explanation:
Mathematically, we know that the area of a rectangle is the product of the length and width of the triangle
To find the length of the rectangle, we will have to divide the area by the width
we have this as;
(x^2 + 15x + 26)/6x^2 divided by (x^2-3x-10)/30x^3
thus, we have ;
(x^2 + 15x + 26)/6x^2 * 30x^3/(x^2-3x-10)
= (x^2+15x+ 26)/(x^2-3x-10) * 5x
But;
(x^2 + 15x + 26) = (x+ 2)(x+ 13)
(x^2-3x-10) = (x+2)(x-5)
Substituting the linear products in place of the trinomials, we have;
(x+2)(x+13)/(x+2)(x-5) * 5x
= 5x(x+13)/(x-5)
Answer:
if we assume that
tan = opp/adj
then we can find the hypotenus by using phytagoras law
h² = o² + a²
h² = (m-1)² + (2√m)²
h² = m² - 2m + 1 + 4m
h² = m² + 2m + 1
then we factorized become
h² = (m + 1)²
h = m+1
so for sin x = opp/hyp = (m-1)/(m+1)
hope this can help you.
Answer:
The y-intercept is y=1.
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
∠POR is congruent to ∠VOE because they are vertical angles
∠PRV is congruent to ∠RVE because alternate interior angles are congruent when the lines are parallel.
VO is congruent to OR which is given
Therefore, ΔPRO is congruent to ΔEVO by the angle-side-angle theorem
So, PR is congruent to VE because corresponding parts of congruent triangles are congruent
Answer:
See explanation.
Step-by-step explanation:
An expression is a <u>set of terms that are combined using addition, subtraction, multiplication, or division.</u> The following are examples of expressions:



Note: expressions do not equal anything.
In contrast, equations are <u>expressions that equal at least one term.</u> The following are examples of equations:




Note: equations <u>do</u> equal a term, as shown in the examples.