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3 years ago

12

Is the following shape a rectangle

1 answer:

Gelneren [198K]3 years ago

4 0

Answer:

c

Step-by-step explanation:

no because the adjacent sides are not perpendicular.

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Which transformation is a rotation?

sergeinik [125]

Maybe the one where the are facing eachother?

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3 years ago

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Division of fraction 3/5 divided by 10/11

Tema [17]

3/5 ÷ 10/11
multiply by the inverse

3/5 x 11/10 = 33/50

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2 years ago

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If y = 3x+b intersects y= mx +3 at (2, 3), find the value of b and m.

Darina [25.2K]

Answer:

The value of b is -3 and m is 0.

Step-by-step explanation:

You have to substitute the coordinates into both equation in order to find m and b value :

Find m,

$y = mx + 3$

At (2,3),

$3 = m(2) + 3$

$3 - 3 = 2m$

$2m = 0$

$m = 0$

Find b,

$y = 3x + b$

At (2,3),

$3 = 3(2) + b$

$b + 6 = 3$

$b = 3 - 6$

$b = - 3$

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2 years ago

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a candidate received 430,500 of the 750,000 ballots cast in an election. What percent of the vote did this candidate receive?

Evgesh-ka [11]

430,500/ 750,000 = 0.574

0.574 x 100 = 57.4 %

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3 years ago

A triangle has base 2x+1 and height 6x-3. What value of x would give an area of 240m2?

GREYUIT [131]

Answer:

The values of x which would give an area of 240m² would be:

$x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}$

Step-by-step explanation:

Given

The base of triangle b = 2x+1

The height of triangle h = 6x-3

The Area of the triangle A = 240 m²

The Area of the triangle has the formula

A = 1/2 × b × h

substituting b = 2x+1, h = 6x-3 and A = 240

$240\:=\:\frac{1}{2}\:\left(2x+1\right)\:\times \left(6x-3\right)$

$480=\left(2x+1\right)\left(6x-3\right)$

$480=12x^2-3$

Subtract 480 from both sides

$12x^2-3-480=480-480$

$12x^2-483=0$

$3\left(4x^2-161\right)=0$

$3\left(2x+\sqrt{161}\right)\left(2x-\sqrt{161}\right)=0$

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

$2x+\sqrt{161}=0\quad \mathrm{or}\quad \:2x-\sqrt{161}=0$

solving

$2x+\sqrt{161}=0$

$2x=-\sqrt{161}$

Divide both sides by 2

$\frac{2x}{2}=\frac{-\sqrt{161}}{2}$

$x=-\frac{\sqrt{161}}{2}$

also solving

$2x-\sqrt{161}=0$

$2x=\sqrt{161}$

Divide both sides by 2

$\frac{2x}{2}=\frac{\sqrt{161}}{2}$

$x=\frac{\sqrt{161}}{2}$

Therefore, the values of x which would give an area of 240m² would be:

$x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}$

3 0

2 years ago