Answer:
x = -
Step-by-step explanation:
Given
(x + 5
) =
Multiply both sides by 8 to clear the fractions
6(x + 5 ) = 5 ← distribute parenthesis on left side
6x + 33 = 5 ( subtract 33 from both sides )
6x = - 28 ( divide both sides by 6 )
x = = -
Answer:
32
Step-by-step explanation:
Given:
Now we use Pythagoras to get the slant height in the middle of each triangle:
=
=
units
One again, you can use Pythagoras again to get the perpendicular height of the entire pyramid.
=
= 6 units.
Because slant edges of length 10 units each is cut by a plane that is parallel to its base and 3 units above its base. So we have the other dementions of the small right square pyramid:
So the volume of it is:
V = 1/3 *3* 4
= 32
Answer:
The slope that is perpendicular to the line will be:
Step-by-step explanation:
Given the equation
We know that
is the slope-intercept form of a line where m is the slope and b is the y-intercept.
So, writing the equation in the slope-intercept form
here
∵
As we know that for perpendicular lines, one slope is the negative reciprocal of the other.
Therefore, the slope that is perpendicular to the line will be: