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3 years ago

Find the slope of the line that is parallel to the line y = 2x + 5

Mathematics

1 answer:

Ugo [173]3 years ago

4 0

Answer:

Step-by-step explanation:

parallel lines have same slope.

y = 2x + 5

y = mx + b

m is the slope

b is y-intercept

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Factor the expression over the complex numbers. x^2 + 72

Ivan

No solution simply because the expression cannot be solved with rational numbers

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3 years ago

Of a group of students 5/8 of them are boys. The girls are put into groups so that each group has 1/6 of the total number of stu

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Select the correct answer from each drop-down menu. In the coming year, a vehicle manufacturer has decided to manufacture 150 ve

dezoksy [38]

Answer:

Given:

v = 150d

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d represents the number of days

150 is the daily production

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Step-by-step explanation:

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2 years ago

Evaluate the expression: 2x + 7 - 3x, when x = 2

Galina-37 [17]

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4 0

3 years ago

Read 2 more answers

Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is

Mamont248 [21]

Answer:

1)The rocket hit the ground at $x = \frac{5}{4}$

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

Step(i):-

Given equation

y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5$

Equating zero

$\frac{dy}{dx} = 0$

⇒ -4 x +5 =0

⇒ -4 x = -5

⇒ $x = \frac{5}{4}$

The rocket hit the ground at $x = \frac{5}{4}$

Step(ii):-

$\frac{dy}{dx} = -4x +5$ ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

$\frac{d^{2} y}{dx^{2} } = - 4(1)$

The maximum height at x = $\frac{-5}{4}$

y = -2 x² + 5 x + 7

$y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7$

$y = \frac{-2(25)+ 25 (16)+7(64)}{64}$

$y = \frac{798}{64} = 12.468 feet$

The maximum height of the rocket = 12.468 feet

4 0

3 years ago