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Gelneren [198K]
3 years ago
11

10 PTS! PYTHAGOREAN THEOREM!

Mathematics
1 answer:
Sever21 [200]3 years ago
7 0

Answer: 9.32


Explanation:

25² + BC² = 30²

BC² = 30² - 25²

BC² = 275

BC = 5√11


25² + BD² = 36²

BD² = 36² - 25²

BD² = 671

BD = √671


x = √671 - 5√11

x = 9.32

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Find the distance between the points ( – 9, – 4) and ( – 4,8).
Dmitriy789 [7]

Answer:

Distance=13\ units

Step-by-step explanation:

<u><em>Distance between two points:</em></u> Distance between two pints (x_1,y_1)\ and\ (x_2,y_2) is given by

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between (-9,-4)\ and\ (-4,8).

d=\sqrt{(-4-(-9))^2+(8-(-4))^2}\\\\d=\sqrt{(-4+9)^2+(8+4)^2}\\\\d=\sqrt{(5)^2+(12)^2}=\sqrt{25+144}\\\\d=\sqrt{169}\\\\d=13

6 0
2 years ago
Identify the values of the variables. Give your answers in simplest radical form. HELP ASAP!!
kumpel [21]

Answer:

B

Step-by-step explanation:

Since the triangle is right use the sine/ tangent ratios to solve for x and y

note sin60° = \frac{\sqrt{3} }{2} and tan60° = \sqrt{3}

sin60° = \frac{opposite}{hypotenuse} = \frac{3\sqrt{6} }{y}

ysin60° = 3\sqrt{6}

y × \frac{\sqrt{3} }{2} = 3\sqrt{6}

multiply both sides by 2 and divide by \sqrt{3}

y v= 6\sqrt{\frac{6}{3} } = 6\sqrt{2}

tan60° = \frac{opposite}{adjacent} = \frac{3\sqrt{6} }{x}

xtan60° = 3\sqrt{6}

x × \sqrt{3} = 3\sqrt{6}

divide both sides by \sqrt{3}

x = 3\sqrt{\frac{6}{3} } = 3\sqrt{2}


8 0
3 years ago
Read 2 more answers
The graph shows the functions f(x), p(x), and g(x): Graph of function g of x is y is equal to 1 plus the quantity 1.5 raised to
satela [25.4K]
Part A:

Given that the <span>straight line p(x) joins the ordered pairs (0, 2) and (1, -5), thus the equation of the line joining ordered pairs (0, 2) and (1, -5) is given by

\frac{y-2}{x} = \frac{-5-2}{1} =-7 \\  \\ \Rightarrow y-2=-7x \\  \\ \Rightarrow y=-7x+2

Thus, p(x) = -7x + 2

</span>Given that the <span>straight line f(x) joins the ordered pairs (4, 1) and (2, -3), thus the equation of the line joining ordered pairs (4, 1) and (2, -3) is given by

\frac{y-1}{x-4} = \frac{-3-1}{2-4} =\frac{-4}{-2}=2 \\  \\ \Rightarrow y-1=2(x-4)=2x-8 \\  \\ \Rightarrow y=2x-7

Thus, f(x) = 2x - 7
</span>
The solution to the pair of equations represented by p(x) and f(x) is given by

p(x) = f(x)
⇒ -7x + 2 = 2x - 7
⇒ -7x - 2x = -7 - 2
⇒ -9x = -9
⇒ x = -9 / -9 = 1

Substituting for x into p(x), we have

p(1) = -7(1) + 2 = -7 + 2 = -5

Therefore, the solution to the pair of equations represented by p(x) and f(x) is  (1, -5)



Part B:

From part A, we have that f(x) = 2x - 7

when x = -8

f(-8) = 2(-8) - 7 = -23

Thus, (-8, -23) is a solution to f(x).

When x = -10

f(-10) = 2(-10) - 7 = -27

Thus, (-10, -27) is a solution to f(x).

Therefore, two solutions of f(x) are (-8, -23) and (-10, -27).



Part C:

From part A, we have that p(x) = -7x + 2, given that g(x) = 1 + 1.5^x

From the graphs of p(x) and g(x), we can see that the two graphs intersected at the point (0, 2).

Therefore, the solution to the equation p(x) = g(x) is (0, 2).

3 0
3 years ago
Y=6x-1, y=3x-4 the solution is_____
TEA [102]

Answer:

y= -7 and x= -1

Step-by-step explanation:

To do this, line up the variables so it looks like this...

y-6x=-1

y-3x=-4

The reason why -6x and -3y changes to negative is because that it moved to the other side of the equation.

distribute negative to the bottom equation because the two equations have the same number variable which is y...

y-6x=-1

-y+3x=4

Y cancels out and it will be left with -3x = 3.

X = -1.... plug that in to any of the two equation and you get y = -7.

Hope I helped and have a nice day!!

5 0
2 years ago
What value of n solves the equation?
vampirchik [111]
2^n = 1/8

Try each one of the options in turn 

The question marks are negatives right?
7 0
3 years ago
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