The line drops 3 squares for each one it moves to the right, so the slope is
.. -3/1 = -3
The 1st selection is appropriate.
_____
Given the choices, you can tell at a glance that -3 is the correct one. When it goes down to the right, the slope is negative. when the angle is steep, the slope has a magnitude greater than 1. Of the negative choices offered, {-3, -1/3}, the obvious choice is -3.
A line has a slope of ±1 when it makes a 45° angle with the x- and y-axes. Steeper than that is a slope whose magnitude is greater than 1. Shallower than that, and the slope has a magnitude less than 1.
Answer:
400 square inches
Step-by-step explanation:
surface area= summation of area of all the faces the object has
out object has 2 triangular faces, and 3 rectangular faces
S.A = 2(0.5bh) + LW +LW+LW
= 2(0.5 x 8 x 15) + (15x7) + (17 x 7) + (7×8)
= 120+105+119+56
= 400 square inches
<span>First rewrite y - 2x<span> 2</span> = 8 x + 5 as</span>
y = 2x<span> 2</span><span> + 8 x + 5 </span>
Complete square and determine vertex.
y = 2(x<span> 2</span><span> + 4x + 4) - 8 + 5 </span>
= 2(x + 2)<span> 2</span><span> - 3 </span>
<span>vertex at (- 2 , - 3) </span>
If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up .
<span>vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)</span>
