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soldier1979 [14.2K]
3 years ago
15

What is the minimum value of the function?

Mathematics
1 answer:
12345 [234]3 years ago
3 0

Answer:

-1 ..?

Step-by-step explanation: because the lowest number a curve touches is -1

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A telephone pole has a wire attached to its top that is anchored to the ground. the distance from the bottom of the pole to the
kirza4 [7]

The height of the pole is 96 feet

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the legs a, b and the hypotenuse c, often called the Pythagorean equation:[1]

a^{2}+b^{2}=c^{2},

Create a diagram of the scenario first. You would have a right triangle with a hypotenuse (longest side) of h + 4, a longest leg of h - 68, and one leg of length h to represent the pole.

Set up the equation h^2 + (h - 68)^2 = (h + 4)^2 using the Pythagorean theorem (a^2 + b^2 = c^2).

h^2 + (h - 68)^2 = (h + 4)^2

On simplifying we get

h^2+h^2-136h+4624 = h^2+8h+16

2h^2-136h+4624=h^2+8h+16

h^2-144h+4608=0

Solving using quadratic formula

h_{1,\:2}=\frac{-\left(-144\right)\pm \sqrt{\left(-144\right)^2-4\cdot \:1\cdot \:4608}}{2\cdot \:1}  

h_1=\frac{-\left(-144\right)+48}{2\cdot \:1},\:h_2=\frac{-\left(-144\right)-48}{2\cdot \:1}

h1 = 96 feet , h2 = 48 feet

If height would have been 48 feet then the other side would have a negative value as as 48 - 68 = -20 .

Hence the height of the pole is 96 feet

Learn more about Pythagoras theorem here :

brainly.com/question/343682

#SPJ4

7 0
1 year ago
50 x 10⁴ what dose that equal
Alborosie

Answer:

500000

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Number 7 please! I need help badly
melamori03 [73]

Answer:

A computer costs $225 and a printer $150.

Step-by-step explanation:

Let c be the cost of a computer and p the cost of a printer, then:

3c + p   = 825

4c + 2p = 1200

Multiply the first equation by -2:

-6c - 2p = -1650

Add this to the second equation:

-2c = -450

c = 225.

Now substitute  c = 225 in the first equation:

3*225 + p = 825

p = 825 - 675 =  150.

7 0
3 years ago
A pair of shoes cost $220. You have a 20% coupon and the tax is 8.25%. What is the total cost of the shoes?
Tom [10]

Answer: 190.52

Step-by-step explanation:

5 0
3 years ago
1. A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would
ANTONII [103]

Answer:

So 12 of 15 free throws is 80% so she would have to make at least 13 of 15 free throws to at least get over 85% cause 13 of 15 is 86.6% repeated

Step-by-step explanation:

3 0
3 years ago
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