3 years ago

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Mathematics

1 answer:

Stella [2.4K]3 years ago

6 0

Answer:9x6−156x5+664x4+176x3−620x2−48x+144

Step-by-step explanation:

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if a rectangle's length is 2 x − 1 and the width is 4 x − 2 , write an expression for the perimeter and an expression for the ar

miskamm [114]

Answer:

Step-by-step explanation:

2p/2 = 2x+7

1) 2x+7 -x - 5 =

width = x + 2

2) 2p/2 = 21 in

x + 5 + x + 2 = 21

2x = 14

x = 7

lenght = 7 + 5 = 12 in

width = 7 + 2 = 9 in

3 )

A = (x+5)(x+2)

A = 12 x 9 = 108

6 0

2 years ago

What is the sum of the first 6 terms of the series <br> -1+4-16+...

Romashka [77]

Answer:

819

Step-by-step explanation:

Givens

a = -1
r = - 4
n = 6

Formula

Sum = a(1 - r^n) / ( 1 - r)

Sum = -1(1 - (-4)^6 / (1 - -4)

Sum = -1 (1 - 4096) / 5

Sum = -1 (- 4095 ) / 5

Sum = 819

4 0

3 years ago

What is the area of the figure shown?

Anni [7]

The triangle is 3x10/2 = 15 ft.

The rectangle is 5x10 = 50 ft.

Total = 65 ft.

7 0

3 years ago

Find the value of a and b if root3-1/root3+1+ root3+1/root3-1=a+root3 b

Digiron [165]

Answer:

a=4 and b = 0

Step-by-step explanation:

Given : $\dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b$

To find, The value of a and b

Solution,

Solving LHS of the given equation,

$\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b$

Since,

$(a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2$

So,

$\dfrac{3+1-2\sqrt 3+3+1+2\sqrt 3}{3-1}=a+\sqrt 3 b\\\\4=a+\sqrt 3 b$

$4+0=a+\sqrt 3 b$

On comparing we get :

a = 4 and b = 0

4 0

3 years ago

Radius OA of circle O has a slope of 2.5. What is the slope of the line tangent to circle O to point A?

mixer [17]

The tangent at A is perpendicular to OA, so has a slope that is the negative reciprocal of that of the radius: -1/2.5 = -2/5.

5 0

3 years ago

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