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3 years ago

What is the diameter of the circle?

Mathematics

1 answer:

LuckyWell [14K]3 years ago

6 0

You need to include the image of the question it doesn’t make sense if

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The sum of two numbers is 41. The larger number is one less than twice the smaller number. Find the numbers.

Arte-miy333 [17]

I hope this helps you

small a

larger 2a-1

a+2a-1=41

3a=42

a=14

2a-1=2.14-1=27

6 0

3 years ago

Find the constant of proportionality k. Then write an equation for the relationship between x and y

ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Answer:

(a) $k = 5$

(b) $y = 5x$

Step-by-step explanation:

Given

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

$(x_1,y_1) = (2,10)$

$(x_2,y_2) = (6,30)$

The constant of proportionality k is:

$k = \frac{y_2 - y_1}{x_2 - x_1}$

$k = \frac{30-10}{6-2}$

$k = \frac{20}{4}$

$k = 5$

Solving (b): The equation

In (a), we have:

$(x_1,y_1) = (2,10)$

k can also be expressed as:

$k = \frac{y- y_1}{x- x_1}$

Substitute values for x1, y1 and k

$5 = \frac{y- 10}{x- 2}$

Cross multiply:

$y - 10 = 5(x - 2)$

Open bracket

$y - 10 = 5x - 10$

Add 10 to both sides

$y - 10 +10= 5x - 10+10$

$y = 5x$

6 0

3 years ago

Please help me with this answer

Naya [18.7K]

Answer: I think its 4200

8 0

3 years ago

Please simplify this ITS URGENT !!

frutty [35]

Answer:

$5 {x}^{2} - 4x - 3$

Step-by-step explanation:

$(8 {x}^{2} - 5x + 1) - (3 {x}^{2} - x + 4) \\ = 8 {x}^{2} - 5x + 1 - 3{x}^{2} + x - 4 \\ = 5 {x}^{2} - 4x - 3$

5 0

4 years ago

Answer if you know

Arlecino [84]

I've attached a plot of one such cross-section (orange) over the region in the x-y plane (blue), including the bounding curves (red). (I've set $y=1.25$ for this example.)

The length of each cross section (the side lying in the base) has length determined by the horizontal distance $x$ between the y-axis $x=0$ and the curve $y=\sqrt x$ . In terms of $y$ , this distance is $x=y^2$ . The height of each cross section is twice the value of $y$ , so the area of each rectangular cross section should be $2y^3$ .

This means the volume would be given by the integral

$\displaystyle\int_0^22y^3\,\mathrm dy$

8 0

3 years ago