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Olenka [21]
3 years ago
6

When asked to write a point-slope equation for the line shown below, a student wrote y-4=2(x-1). How can he fix this to write th

e correct equation?
Mathematics
1 answer:
alexgriva [62]3 years ago
6 0
Point - slope form = y - y1 = m(x - x1)
y - 4 = 2(x-1)
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The sides of a right triangle are x, x+21, and x+27. what is the length of the hypotenuse
mina [271]
Answer: 51 uinits

The three numbers are x , x + 21 and x + 27. 
The greatest of the 3 numbers is x + 27, so x + 27 has to be the hypotenuse.

----------------------------------------------
Pythagoras Theorem
----------------------------------------------

a² + b²  = c²

x² + (x+21)² = (x+27)²

x² + x² + 42x + 441 = x² + 54x + 729

x² - 12x -288 = 0

(x - 24)(x + 12) = 0

x = 24 or x = -12 (rejected, length cannot be negative)

----------------------------------------------
Find hypotenuse
----------------------------------------------
 Hypotenuse = x + 27 = 24 + 27 = 51 units

-----------------------------------------------
Answer: 51 units
----------------------------------------------

3 0
3 years ago
Read 2 more answers
The Columbia Tower in Seattle is 954 feet tall. The Seafirst Tower is T feet tall and d feet away from the Colombia Tower. Find
Blababa [14]
You have to include a drawing that relates the distace between de towers and some angles.

I will use one that gives the angle from the base of Seafirst Tower to the top of Columbia tower as 53 degress.

This lets you calculate the distance between the towers, d, as

tan(53) = 954 / d => d = 954 / tan(53) = 718.89ft

The same drawing gives the angle from the the base of the Columbtia tower to the top of the Seafirst Tower as 27 degrees.

Tnen, tan(27) = height / d => height = d*tan(27) = 718.89*tan(27) = 366.29 ft

Answer: 366.29 ft


6 0
3 years ago
Find all the powers of 4 in the range of 1000
Nikitich [7]
4 to the 1st is 4
4 to the 2nd is 16
4 to the 3rd is 64
<span>4 to the 4th is 256</span>
5 0
3 years ago
HELPPP!<br> What is the solution to the system of equations graphed below?
Yuliya22 [10]
(-2,0) and (0,4) because these are the points where the two lines meet :)
7 0
3 years ago
Select the correct answer.
Afina-wow [57]

Answer:

d)\ \frac{81}{m^{7}}

Step-by-step explanation:

(3m^-4)^3(3m^5)

First, simplify (3m^{-4})^3:

(3m^{-4})^3\\\\3^3*m^{-4*3}\\\\27m^{-12}

27m^{-12}*3m^5\\\\27*3 *m^{-12+5}\\\\81m^{-7}\\\\81*\frac{1}{m^{7}} \\\\\frac{81}{m^{7}}

Hope this helps!

5 0
2 years ago
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