Find the slope of the line that passes through (9,3) and (6,4)

What is the ratio of the area of the inner square to the area of the outer square?

Anastasy [175]

Answer:

$\frac{(a-b)^2+b^2}{a^2}$

Step-by-step explanation:

Since, By the given diagram,

The side of the inner square = Distance between the points (0,b) and (a-b,0)

$=\sqrt{(a-b-0)^2+(0-b)^2}$

$=\sqrt{(a-b)^2+b^2}$

Thus the area of the inner square = (side)²

$=(\sqrt{(a-b)^2+b^2})^2$

$=(a-b)^2+b^2\text{ square cm}$

Now, the side of the outer square = Distance between the points (0,0) and (a,0),

$=\sqrt{(a-0)^2+0^2}$

$=\sqrt{a^2}=a$

Thus, the area of the outer square = (side)²

$=a^2\text{ square cm}$

Hence, the ratio of the area of the inner square to the area of the outer square

$=\frac{(a-b)^2+b^2}{a^2}$

4 0

3 years ago

Read 2 more answers

What 878.9-89.51 i need help i dont understand

Marina86 [1]

Answer: 789.39

Step-by-step explanation: Just subtract 89.51 from 878.9.

Mark Brainliest if this helped!

3 0

3 years ago

What is the slope of the line that passes through (2, 12) and (4, 20)?On the graph of the equation 3x + 2y = 18, what is the val

Paha777 [63]

Answer: The slope of the line that passes through (2, 12) and (4, 20) is 4.

The value of the y-intercept is 9.

Step-by-step explanation:

Slope of line passing through (a,b) and (c,d) = $\dfrac{d-b}{c-a}$

Then, the slope of the line that passes through (2, 12) and (4, 20) = $\dfrac{20-12}{4-2}$

$=\dfrac{8}{2}=4$

So, the slope of the line that passes through (2, 12) and (4, 20) is 4.

To find the y-intercept of 3x + 2y = 18, first write in slope intercept form y=mx+c ( where c= y-intercept ).

$2y=-3x+18\\\\\Rightarrow\ y=-\dfrac{3}{2}x+9$

By comparison, c= 9

Hence, the value of the y-intercept is 9.

4 0

3 years ago

En un paralelogramo de tiene ?

soldi70 [24.7K]

Answer:

Elementos y propiedades del paralelogramo

Lados: el paralelogramo tiene cuatro lados, siendo iguales y paralelos dos a dos (a y b). Ángulos: los ángulos interiores son iguales dos a dos, siendo iguales los ángulos no consecutivos (α y β). Como en todo cuadrilátero, sus ángulos interiores suman 360° (2α + 2β = 360°)

Step-by-step explanation:

Elements and properties of the parallelogram

Sides: the parallelogram has four sides, two by two (a and b) being equal and parallel. Angles: the interior angles are equal two by two, the non-consecutive angles (α and β) being equal. As in any quadrilateral, its interior angles add up to 360 ° (2α + 2β = 360 °) (English version lol)

6 0

3 years ago

A bag contains 6 red balls numbered 1, 2, 4, 5, 8, 9 and 4 white balls numbered 3, 6, 7, 10,

geniusboy [140]

Answer:

60%

a. 80%

b. 70%

Step-by-step explanation:

In this case we are first asked for the probability that when drawing a ball at random it is 8, 9 and 4 white balls numbered 3, 6, 7, 10, that is 6 balls. We know that there are a total of 10 balls since they are 6 red and 4 white, 6 + 4 = 10.

Therefore the probability is:

6/10 = 0.6

that is to say that the probability that it is one of these balls is 60%

to. that is red or odd,

red are 1, 2, 4, 5, 8, 9 and in addition to that, in white there is one with 3 and with 7 that are odd, making them 8 balls, therefore:

8/10 = 0.8

In other words, the probability is 80%

b. white or even,

the white ones are 3, 6, 7, 10 and in the red ones the 2, 4 and 8 are even, that is to say that they are 7 balls, which means that:

the probability is:

7/10 = 0.7

The probability is 70%

6 0

3 years ago

Find the slope of the line that passes through (9,3) and (6,4)​

Find the slope of the line that passes through (9,3) and (6,4)