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olya-2409 [2.1K]

3 years ago

11

I need help ASAP!!! ABC has vertices A(0,6), B(4,6), and C(1,3). Sketch a graph of ABC and use it to find the orthocenter of ABC

. Then list the steps you took to find the orthocenter, including any necessary points or slopes you had to derive

1 answer:

ryzh [129]3 years ago

3 0

To find the orthocenter of ABC

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1/3x-137.45=252.60 what is the value of x

nikdorinn [45]

The value of x is 1170.15 because first you add 137.45 from both sides of the equation, then your new equation should be 1/3x=390.05. After that you use the keep change flip method to help you divide 390.05 by 1/3 which will be 390.05 times 3 divided by 1 and your final answer should be x=1170.15 or 1170.15

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=4%20%20%20%7B%7D%5E%7Bx%20%7D%20%20%2B%206%20%7B%7D%5E%7Bx%7D%20%3D%209%20%7B%7D%5E%7Bx%7D%20%

Nookie1986 [14]

So, the value of x is 1.19

The question is an exponential equation

<h3>What is an exponential equation?</h3>

An exponential equation is a mathematical expression between two quantities in which one variable is raised to a power of the other variable.

<h3>How to find x?</h3>

Since $4^{x} + 6^{x} = 9^{x}$ ,

Dividing through by 4ˣ, we have

$\frac{4^{x} }{4^{x} } + \frac{6^{x} }{4^{x} } = \frac{9^{x} }{4^{x} } \\1 + (\frac{6}{4})^{x} } = (\frac{9}{4})^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3^{2} }{2^{2} })^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3}{2})^{2x} }$

Let y = (3/2)ˣ

So,

1 + y = y²

y² - y - 1 = 0

Using the quadratic formula to find y,

$y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}$

where a = 1 b = -1 and c = -1

Substituting the values of the variables into the equation, we have

$y = \frac{-(-1) +/- \sqrt{(-1)^{2} - 4\times 1 \times (-1)} }{2\times 1}\\= \frac{1 +/- \sqrt{1 + 4} }{2}\\= \frac{1 +/- \sqrt{5} }{2}\\= \frac{1 - \sqrt{5} }{2} or \frac{1 + \sqrt{5} }{2}\\= \frac{1 - 2.236}{2} or \frac{1 + 2.236}{2}\\= \frac{- 1.236}{2} or \frac{3.236}{2}\\= -0.618 or 1.618$

Since y = (3/2)ˣ

Takung logarithm of both sides, we have

㏒y = ㏒(3/2)ˣ

㏒y = x㏒(3/2)

x = ㏒y/㏒(3/2)

x = ㏒y/㏒1.5

Since we do not have logarithm of a negative number, we use y = 1.618.

So, x = ㏒y/㏒1.5

x = ㏒1.618/㏒1.5

x = 0.2090/0.1761

x = 1.19

So, the value of x is 1.19

Learn more about exponential equation here:

brainly.com/question/11832081

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5 0

1 year ago

Can someone just answer one n show all the work plz it will help a lot

rosijanka [135]

Step-by-step explanation:

this is the anwser it is inverse trigonometry

8 0

3 years ago

3(x^2-1) + 4(x^2 - 3) = 13<br><br> solve for x

Mrrafil [7]

Answer:

x=2, x=-2

Step-by-step explanation:

3x²-3+4x²-12=13

7x²=13+12+3

7x²=28

x²=4

x=-2

x=2

4 0

3 years ago

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How do you know if a situation represents<br> a proportional relationship?

kvasek [131]

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

7 0

2 years ago