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2 years ago

Write an expression to represent the area of a right triangle with legs length as follow: 2x-2 and 4x+2

1 answer:

8 0

For Right angled triangle area
A=ab/2
(2x-2)(4x+2)/2
(8x^2+4x-8x-4)/2
(8x^2-4x-4)/2 take common term 2
2(4x^2-2x-2)/2
So A=4x^2-2x-2

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Which unit rate corresponds to the proportional relationship shown in the graph?

Evgen [1.6K]

Answer:

1.5 cm/s

Step-by-step explanation:

The unit rate is the same as the slope.

To find the slope, we use the slope formula:

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

Using our points, we have

m = (9-0)/(6-0) = 9/6 = 3/2 = 1.5 cm/s

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3 years ago

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Which sequence matches the recursive formula?

goldenfox [79]

Hello:
an = 2an-1 + 5, where a1 = 5
n =2 a2 = 2a1 +5 = 2(5)+5 = 15
n =3 a3 = 2a2 +5 = 2(15)+5 = 35
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3 years ago

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What is the volume of this triangular prism 20 mm 10 mm 8 mm

Nimfa-mama [501]

Answer:

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Step-by-step explanation:

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2 years ago

Here are two rectangles.

Drupady [299]

The two rectangles are similar and the scale factor is 3:4

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3 years ago

A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the

Vedmedyk [2.9K]

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

Step(i):-

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

Step(ii):-

Area of the rectangle = length × width

= x ( x-3)

Given that the area of the rectangle = 70 square feet

x ( x-3) = 70

⇒ x² - 3x - 70 =0

⇒ x² - 10 x + 7 x - 70 =0

⇒ x (x -10) +7( x-10) =0

⇒ ( x+7) ( x-10) = 0

⇒ x =-7 and x=10

Final answer:-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

8 0

3 years ago