Find the solutions to the following equation by using the quadratic formula . 2x^2+14x+20=216

Mathematics

1 answer:

vampirchik [111]3 years ago

7 0

Answer:

x = 7 , − 14

Step-by-step explanation:

I believe this is correct.

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Randy walks his dog each morning he walks 7/12 of a mile in 7 minutes how many miles does he walk in 1 minute

Andrej [43]

Answer:1/12

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One of the parking lot lights at a hospital has a motion detector on it, and the equation (x+10)2+(y−8)2=16 describes the bounda

Pani-rosa [81]

We are given an equation:
$(x+10)^{2} + (y-8)^{2} = 16$

This is an equation of a circle. General form of a circle equation is:
$(x-a)^{2} + (y-b)^{2} = r^{2}$
Where:
a = x coordinate of a center
b = y coordinate of a center
r = radius of a circle

Motion detector can detect person anywhere within a boundary. The greatest distance at which detector can detect is at the edge of a circle. That distance, between detector and edge of circle, is equal to radius.

From the equation we have:
$r^{2} =16 \\ r=4$
The greatest distance at which person can be detected is 4ft.

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The perimeter of a triangle is 42 yards. The first side is 5 yards less than the second side, and the third side is 2 yards less

Maru [420]

Let the second side be equal to x Then the first side is x-5 The third side will be x-5-2 = x-7 Therefore you add all the following sides and equate it to 42 yards. Ie x+x+5+x-7 = 42 3x=44 X= 44/3 Therefore the second sides length is 44/3 The first sides length is 44/3 -5 = 29/3 The third side is 44/3 -7 = 23/3

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Please help me this is important

Dmitrij [34]

Answer:

C. II, III, and IV only

Step-by-step explanation:

Lol I haven't done one of these in a while, so thanks for the practice!

It's important to note that a dilation does NOT change the angles of the shape whatsoever. By this, you know that II and III are automatically correct, which rules out A and B. After that, you can look at I, which is the only difference between C and D. Since the dilation factor is 2/3, the parallelogram you see is smaller than the original. Since in I, the original would be larger than the denominator, the correct answer would be at least greater than one (to be precise, it'd be 3/2). To make everything easier, you can find the value by assigning the original side a value of 1, which would make the prime value 2/3. 1/(2/3) is going to be 3/2.

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3 years ago