Answer:
x = 6
Step-by-step explanation:
- <em><u>Pull out like factors:
</u></em>
-4x - 13 = -1 • (4x + 13)
- <em><u>Equation at the end of step 2:
</u></em>
-178 - (-5x + -4 • [4x + 13] ) = 0
- <em><u>Pull out like factors:
</u></em>
21x - 126 = 21 • (x - 6)
- <em><u>Equation at the end of step 4:
</u></em>
21 • (x - 6) = 0
x-6 = 0
- <em><u>Add 6 to both sides of the equation:</u></em>
x = 6
<h3>
Answer: 36 square units</h3>
=========================================================
Explanation:
Draw a horizontal line to cut the figure into a rectangle on top and a triangle down below.
The rectangle has length and width of 6 and 4 (horizontal and vertical components respectively). The area of this rectangle is 6*4 = 24 square units.
The triangle has a base of 6 and a height of 4. The base and height of any triangle are always perpendicular.
The area of the triangle is base*height/2 = 6*4/2 = 24/2 = 12 square units. If you were to cut out half of the triangle and rearrange things, you'll find that a rectangle can be formed. This rectangle is half in area that of the first rectangle we found. This is why we divide by 2 when finding the area of the triangle.
Once you know the two sub-areas, we add them up to get the overall area: 24+12 = 36 square units.
A. <span>–13 + 27 = 27 + (–13) is an example of the commutative property.
The commutative property states that a + b = b + a.</span>
Answer:
units
Step-by-step explanation:
If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.
We know the formula of length of perpendicular from a point
to the straight line ax + by + c = 0 is given by

Therefore, in our case the perpendicular distance is
units. (Answer)
Answer:
9, 7, -1, -2
Step-by-step explanation:
-2 is smaller than -1