2 years ago

The diagram represents an enlargement of a rectangle by a scale factor of 4,

Mathematics

1 answer:

Lapatulllka [165]2 years ago

3 0

Answer:D 16inches by 8 inches

Step-by-step explanation:

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Henry has $21.50 to ride the trolley around San Francisco this week. It will cost him $0.50 every time he rides. Identify the de

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Answer:

Dependent: Cost of the ride.

Independent : Number of rides.

Step-by-step explanation:

The independent variable is the variable what we change and the dependent variable is the variables which changes because of that changes.

Here the total cost of ride changes for any change in the number of rides.

Hence, the number of rides is the independent variable and the total cost of ride is the dependent variable

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In the derivation of the quadratic formula by completing the square, the equation (x+b over 2a)^2=-4ac+b^2 over 4a^2 is created

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Answer:

The result of applying the square root property of equality to this equation is $x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$ .

Step-by-step explanation:

Consider the provided equation.

$\left(x+\dfrac{b}{2a}\right)^2=\dfrac{-4ac+b^2}{4a^2}$

As the above equation is formed by perfect square trinomial so simply applying the square root property as shown:

$\sqrt{(x+\dfrac{b}{2a})^2}=\pm \dfrac{\sqrt{-4ac+b^2}}{\sqrt{4a^2}}\\x+\dfrac{b}{2a}=\pm \dfrac{\sqrt{b^2-4ac}}{2a}$

Isolate the variable x.

$x=-\dfrac{b}{2a}\pm \dfrac{\sqrt{b^2-4ac}}{2a}\\x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Hence, the result of applying the square root property of equality to this equation is $x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$ .

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Jarvis works in a garage £6 an hour. If he works on Saturday, he is paid time and a quarter. If he works on Sunday, he is paid t

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Answer: He is paid $90 last weekend.

Step-by-step explanation:

Since we have given that

Amount he earns per hour = $6

If he works on Saturday, he is paid time and a quarter .

Amount would be

$6\times 1.25=\$7.5$

If he works on Sunday, he is paid time and a half.

Amount would be

$6\times 1.5=\$9$

Number of hours he worked on Saturday = 6 hours

Number of hours he worked on Sunday = 5 hours

So, Total amount he is paid last weekend altogether is given by

$6\times 7.5+5\times 9\\\\=\$90$

Hence, he is paid $90 last weekend.

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