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borishaifa [10]

2 years ago

6

ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!! Please do the 2 questions!

1 answer:

sergiy2304 [10]2 years ago

7 0

Answer:

7. 80 miles

8. F

Step-by-step explanation:

7. Jorge leaves 2 hours early, and is going 20 miles per hour. So before Marcos starts going, Jorge has gone 40 miles (2*20). Then, 1 hour later, Jorge is at 60 miles and Marcos is at 40 (because he goes 40 miles per hour in his car). Another hour later, Jorge is at 80 (60+20) and Marcos is at 80 as well (40 + 40). They will both have gone 80 miles when Marcus catches up.

8. You want to get <em>a</em> isolated.

A = h/2(a + b)

First, multiply both sides of the equation by the reciprocal of h/2.

2A/h = a + b

Then, subtract b from both sides.

2A-b/h = a

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The altitude of an equilateral triangle is 5 cm. what is the length of a side of the triangle?

Grace [21]

Answer:

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Step-by-step explanation:

we know that

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Let

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Applying Pythagoras theorem

$b^{2}=(b/2)^{2}+5^{2}\\\\ b^{2}-(b/2)^{2}=25\\\\ (3/4)b^{2}=25\\ \\b^{2} =25*4/3\\ \\b=\frac{10}{\sqrt{3}}\ cm\\ \\b=\frac{10\sqrt{3}}{3}\ cm$

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Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

Or

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

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