Answer:
y = - 
x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - and c = - 4 , thus
y = - x - 4 ← equation of line
Answer:
the simplified expression would be 35
Answer:
(8,-2)
Step-by-step explanation:
When reflecting something across the X axis the y axis coordinate is the one that will change to put the position further up or down. In this case we are moving it down to the same amount below the axis that it is now above it. That means that since it is currently 2 above the X axis it would then be 2 below the X axis making it at -2 so the coordinates would be (8,-2)
I hope this helps and please don't hesitate to ask if there is anything still unclear!
Answer:
Step-by-step explanation:
nth term = a +(n-1)d
a3 = 116 ; a + 2d = 116 ---------(i)
a7 = 180; a + 6d = 180 -------(ii)
multiply (ii) by -1. so a will be eliminated
a + 2d = 116 ---------(i)
(ii)*-1 <u>-a - 6d = -180</u> -------(ii) { Now add the two equations}
- 4d = -64
d = -64/-4
d = 16
Plug in the value of d in equation (i),
a + 2*16 = 116
a + 32 = 116
a = 116 - 32
a = 84
12th term = 84 + 11* 16 = 84 + 176 = 260
Answer:
3.5
Step-by-step explanation:
This can be calculatdd by applyinthe g Pythagorean theorem
a^2 + b^2= c^2
12^2 + x^2= 12.5^2
144+ x^2= 156.25
x^2= 156.25-144
x^2= 12.25
x= √12.25
x= 3.5
Hence the distance between the ladder and the house is 3.5 ft
