What is the volume of the figure?

mojhsa [17]

The model shows that we are to arrange the factors based on the terms in the square box. The factored form is(6x+5)(x-4)

<h3>Factorizing quadratic equations</h3>

Factorization is a way of simplify. Given the equation 6x² - 19x - 20

Factorize

6x² - 19x - 20

6x² - 24x + 5x- 20

6x(x-4)+5(x-4)

(6x+5)(x-4)

We are to arrange each term of the factors in the square box

Learn more on factoring here: brainly.com/question/24734894

#SPJ1

5 0

1 year ago

Find the measure of angle Y. A. 115° B. 65° C. 43° D. 22°

Gala2k [10]

Answer:

The answer is B. 65

Step-by-step explanation:

add 43 and 22, then subtract that by 180 and that will give you 115. Then subtract 180 and 115 and the answer is 65.

3 0

2 years ago

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Made this question if you can able to make

Vilka [71]

Answer:Serkan teacher regularly buys 75 TL of gasoline in his car every week.

At the end of the 13th week, how much is the total gasoline expenditure made by the serkan teacher?

A)390 B)420 C)900 D)975

Step-by-step explanation:

4 0

2 years ago

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PLEASE ANSWER ASAP!! Explain two different ways to solve 72^2/4

777dan777 [17]

Answer:

Step-by-step explanation:

$72^{\frac{2}{4}}=72^{\frac{1}{2}}= \sqrt{2*2*2*3*3}\\\\\\=2*3*\sqrt{2}\\\\=6\sqrt{2}$

6 0

2 years ago

/// WORTH 70 points /// ASAP ////

belka [17]

A community is developing plans for a pool and hot tub. The community plans to form a swim team, so the pool must be built to certain dimensions. Answer the questions to identify possible dimensions of the deck around the pool and hot tub.

Part I: The dimensions of the pool are to be 25 yards by 9 yards. The deck will be the same width on all sides of the pool. Including the deck, the total pool area has a length of (x + 25) yards, and a width of (x + 9) yards.

Write an equation representing the total area of the pool and the pool deck. Use y to represent the total area. Hint: The area of a rectangle is length times width. (1 point)

$y = (x+25)(x+9)$

Rewrite the area equation in standard form. Hint: Use the FOIL method. (1 point)

$y = x^2 + 9x + 25x + 9(25)$

$y = x^2 +34x + 225$

Rewrite the equation from Part b in vertex form by completing the square. Hint: Move the constant to the other side, add to each side, rewrite the right side as a perfect square trinomial, and finally, isolate y. (4 points: 1 point for each step in the hint)

$y-225 = x^2 +34x$

$y-225 + 17^2 = x^2 +34x + 17^2$

$y-225 + 289 = (x+17)^2$

$y = (x+17)^2 - 64$

What is the vertex of the parabola? What are the x- and y-intercepts? Hint: Use your answer from Part a to identify the x-intercepts. Use your answer from Part b to identify the y-intercept. Use your answer from Part c to identify the vertex. (4 points: 1 point for each coordinate point)

The vertex is where the squared term is zero, x=-17 , y =-64, (-17,-64)

The y intercept is y at x=0, so (0,225)

The x intercepts are the zeros; so at x=-25 and x=-9, aka (-25,0), (-9,0)

Graph the parabola. Use the key features of the graph that you identified in Part d. (3 points)

[Plot the points we generated and connect the dots. I'll leave the graphing to you]

In this problem, only positive values of x make sense. Why? (1 point)

x is the width of the pool edge; it must be positive.

What point on your graph shows a total area that includes the pool but not the pool deck? (1 point)

x=0, y=225 i.e. (0,225)

The community decided on a pool area that adds 6 yards of pool deck to both the length and the width of the pool. What is the total area of the pool and deck when x = 6 yards? (2 points)

(9+6)(25+6)=15(31)=465

Part II: A square hot tub will be placed in the center of an enclosed area near the pool. Each side of the hot tub measures 6 feet. It will be surrounded by x feet of deck on each side. The enclosed space is also square and has an area of 169 square feet. Find the width of the deck space around the hot tub, x.

Step 1: Write an equation for the area of the enclosed space in the form y = (side length)2. Hint: Don't forget to add x to each side of the hot tub. (1 point)

$y=(x+6)(x+6)=(x+6)^2$