I am hesitant to provide a definite answer since I'm not completely certain, but it's clear you can discard options C and D right away since the rate of change cannot be negative. Between options A and B, I would lean towards option B. I would have asked you to consider me the brainliest if I were correct, but I suspect this is for the IA4, where you're unable to check your grade... haha. Apologies, but I hope this assists you in some way!
Response:
The factored expression 
is 
.
Detailed explanation:
Provided:
Our goal is to express the given equation in a factored form.
Factoring pertains to rewriting an expression so that the product of its factors yields the original expression
Let’s consider the expression .
We recognize the algebraic identity 
Thus, we have 
.
Matching with the above identity, we assign x= a, and b = 11, leading to
.
Consequently, the factored expression is .
The function V(h(r)) is limited to r values that are greater than 0. V(h(r)) = 3.5πr^3. The volume is dependent on the cylinder's radius. Step-by-step explanation: Edgenuity.
The diagrams for parts A and C are included here. For part B, we have circle O. We begin by drawing two radii OA and OC, connecting points A and C to create chord AC. The radius intersects chord AC at point B, bisecting AC into equal segments AB and BC. This gives us two triangles, ΔOBA and ΔOBC, where OA equals OC (since they're radii), OB equals OB (by the reflexive property), and AB is equal to BC (as stated in the question). By applying the SSS triangle congruence criterion, we conclude that ΔOBA is congruent to ΔOBC, allowing us to deduce that ∡OBA equals ∡OBC, both measuring 90°. Thus, OB is perpendicular to AC. Moving on to part D, we again work with circle O and draw the two radii OA and OC, joining points A and C to create chord AC. The radius intersects AC at point B, where AB is perpendicular to AC, meaning ∡B equals 90°. We then consider the right triangles ΔOBA and ΔOBC, and given OA equals OC (the radii), and OB equals OB (reflexive property), we conclude through the HL triangle congruence that ΔOBA is congruent to ΔOBC. Consequently, we find BA equal to BC, thus OB bisects AC.
Answer: To eliminate the y terms and solve for x with minimum steps, we should multiply the first equation by 9 and the second equation by -4.
Step-by-step explanation:
Given: Equation (1) 5x − 4y = 28
Equation (2) 3x - 9y = 30
To eliminate the y-terms and determine x in the fewest operations, it requires us to multiply equation (1) by 9 and equation (2) by -4 to have
9(5x − 4y) =9 (28) ⇒ 45x - 36y = 252
-4(3x - 9y) = -4(30) ⇒ -12x + 36y = -120
By adding both equations together, the y-term is eliminated, leading to 45x - 12x = 132
⇒ 33x = 132 ⇒ x = 4.
