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Fed [463]
1 year ago
7

The slope of the line below is 3. Which of the following is the point slopeform of the ling?O A. y-2=3(446)O B. y-6--3/442)O C.

y425-34-5)O D. 446=-3x - 2)

Mathematics
1 answer:
polet [3.4K]1 year ago
4 0

The slope of the line is given as -3 and it passes through the point (2, -6).

Thus we can write the equation of the line in point-slope form;

\begin{gathered} \frac{y-y_1}{x-x_1}=-3 \\ \frac{y-(-6)}{x-2}=-3 \\ \frac{y+6}{x-2}=-3 \\ y+6=-3(x-2) \\  \end{gathered}

Therefore, the correct option is D

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Answer 11.32

Step-by-step explanation:

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All rectangles are simular true or false
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true

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Can someone please help me in this question
Pie

Step-by-step explanation:

a) Let y = f(x) = 3x - 2x^2

f(-2) = 3(-2) - 2(-2)^2 = p

= -6 - 8

= -14

= p

f(2.5) = 3(2.5) - 2(2.5)^2 = q

= 7.5 - 12.5

= -5

= q

b) graphing

c) From the graph, you should be able to verify the following:

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ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2

iii) the maximum occurs at

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4 0
3 years ago
If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3
horrorfan [7]

Answer:  The correct option is (B) 24 : 25.

Step-by-step explanation:  Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Therefore, the ratio of the area of R to the area of S is

\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

6 0
4 years ago
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