9514 1404 393
Answer:
C) 4
Step-by-step explanation:
The point-slope equation of the line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +9 = 3(x -1) . . . . . line with slope 3 through point (1, -9)
For y=0 (the 0 of the function), we have ...
9 = 3(x -1)
3 = x -1
4 = x
The x-intercept is (4, 0).
The answer is line c, because you have to rise 5 and run 2.
The magnitude of YZ is 8.6
<u>Explanation:</u>
<u />
Y( -4, 12)
Z ( 1, 19)
Magnitude of YZ = ?
We know:
On substituting the value we get:
Thus, the magnitude of YZ is 8.6
Answer:
A) 32 and 28
Step-by-step explanation:
A= √4².√2
= √16.√2
= √32
m= 32
B= √2². √7
=√4.√7
=√28
n= 28
Answer:
The sides are 30 ft, 40 ft and 50 ft.
Step-by-step explanation:
The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.
Using Pythagoras theorem the length of the sides can be found.
a² + b² = c²
(x - 4)² + (x + 6)² = (2x - 18)²
(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)
x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324
2x² - 8x + 12x + 16 + 36 = 4x² - 72x + 324
2x² + 4x + 52 = 4x² - 72x + 324
2x² - 4x² + 4x + 72x + 52 - 324 = 0
-2x² + 76x - 272 = 0
2x² - 76x + 272 = 0
divide through by 2
x² - 38x + 136 = 0
find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.
x² - 4x - 34x + 136 = 0
x(x - 4) - 34(x - 4) = 0
(x - 4)(x - 34 ) = 0
x = 4 or 34
we can only use 34 since using 4 will result to negative number.
x - 4 = 34 - 4 = 30 ft
x + 6 = 34 + 6 = 40 ft
2x - 18 = 68 - 18 = 50 ft
