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3 years ago

Mr Thompson, Please help!

Mathematics

1 answer:

BARSIC [14]3 years ago

8 0

Problem 1

<h3>Answer: Choice C) x^2-4 </h3>

Explanation:

Use the difference of squares rule here.

That rule says (a-b)(a+b) = a^2-b^2

In this case, a = x and b = 2.

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Problem 2

<h3>Answer: Choice B) 2x^2+7x+5</h3>

Work Shown:

(2x+5)(x+1)

y(x+1) ..... let y = 2x+5

xy+y

x(y) + 1(y)

x(2x+5) + 1(2x+5) ... plug in y = 2x+5

2x^2+5x+2x+5

2x^2+7x+5

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Problem 3

<h3>Answer: Choice A) -x^2-5x+7</h3>

Explanation:

The standard form of a quadratic is ax^2+bx+c, where a,b,c are real numbers. In the case of choice A, we have a = -1, b = -5, c = 7.

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Problem 4

<h3>Answer: Choice D</h3>

Explanation:

Along the top we have three green rectangles. If each of them are of length x, then we have x+x+x = 3x so far. Then adding on a yellow piece of 1 unit leads to 3x+1 as the total horizontal width across the top.

Similarly, along the left side we have 1 green portion and 2 yellow leading to x+2. So this shows why this diagram represents (3x+1)(x+2)

A rectangle must be formed with the smaller pieces glued together. We cannot have any gaps or overlaps. The reason we're aiming for a rectangle is because the area of a rectangle is length*width. Think of (3x+1) as the length and (x+2) as the width.

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How many volleyball games would Rana

Fed [463]

Answer:

90 games

Step-by-step explanation:

Given: Total number of team (n) = 10

Each team will play twice with each other.

We know that every team will play two game with each other except with itself, therefore each team will play $(n-1)\times 2$

⇒ Each team will play = $(10-1)\times 2 = 18\ games$

∴ Each team will have 18 games with each other in the league.

Now, as there are total 10 teams and each team have 18 games each, however, we have to make sure that no team have more than two games with other team.

Example: $team_1 vs\ team_2\\\\team_2\ vs\ team_1\\$

Both the above game are same and it is a mistake to take two different game.

∴ Total number of games played by all team= $\frac{(n \times number\ of\ games\ played\ by\ each\ team}{2}$

⇒ Total games = $\frac{(10\times 18)}{2} = 90\ games$

∴ Rana have to schedule 90 games in the Volleyball league.

8 0

3 years ago

The growth rate of the sunflower from day 14 to day

nata0808 [166]

Option B) h = 4.5t – 27 is the equation of the straight line that best models the height h, in centimeters, of the sunflower t days after it begins to grow.

From the above graph we can see that from day 14 to day 35 , it is a straight line.

And equation of a straight line is y = mx + c or y – y1 = m(x – x1)

Where, m =slope of the line

c = intercept

the equation can be rewritten as h – h1 = m(t – t1) (1)

So, to find the equation of line , first we will calculate the slope of the line.

To find the slope : m = (h2 – h1 ) / (t2 – t1) (2)

From the graph and the table given, the coordinates (t1 , h1 ) and ( t2 , h2 ) are (14 , 36.6) and (35, 131) respectively.

Putting these values in equation (2), we get

m = (131 – 36.6)/(35 – 14)

m = 94.4/21

m = 4.5

now to find the equation of line we put the values in equation (1), we get

h – 36.6 = 4.5(t – 14)

h – 36.6 = 4.5t – 63

h = 4.5t -63 + 36.6

h = 4.5t -27

Hence the equation of the line is , option B) h = 4.5t -27

Learn more about the straight line here : brainly.com/question/6977417

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2 years ago

During the football game, Justin caught 3 passes. One was for a touchdown and was a 52 yard gain. The other was for a first down

pogonyaev

Answer:

Step-by-step explanation:

52+17-10=59

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3 years ago

Which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equa

svetoff [14.1K]

Answer:

D the last option

I got this answer right on ed

7 0

3 years ago

Read 2 more answers

I NEED HELP PLZ ( WILL GIVE BRAINLYIST) ( NO LINKS)

AlladinOne [14]

9514 1404 393

Answer:

66 cm²

Step-by-step explanation:

The area of the polygon is the sum of the areas of the triangle and the rectangle it sits on. The dimensions of the triangle can be found by examining the top/bottom dimensions shown and the left/right dimensions shown.

The width (base) of the triangle is the difference between the lengths of the bottom and top horizontal lines: (12 -9) cm = 3 cm.

The height of the triangle is the difference between the lengths of the left and right sides of the figure: (9 -5) cm = 4 cm.

The dimensions of the rectangle are shown a the bottom and the left sides of the figure.

triangle area = 1/2bh = 1/2(3 cm)(4 cm) = 6 cm²

rectangle area = LW = (12 cm)(5 cm) = 60 cm²

Total polygon area = 6 cm² + 60 cm² = 66 cm²

4 0

3 years ago