-2m + 5 = 2m + 5
2m + 2m = 5 - 5
4m = 0
m = 0
-2m + 5 = -2m + 5
-2m + 2m = 5 - 5
0 = 0
-2m + 5 = -2m - 5
-2m + 2m = 5 + 5
0 = 10
Solution set is Ф
The third equation is the correct answer.
First set change the function f(x) to y so
that it would be
Then set y = 0
Then solve for x
X = - 3
To graph it, just plot the point (-3,0) on the x-axis
Answer:
A
Step-by-step explanation:
We want to find the surface area, which will essentially just be the areas of all the figures given in the net.
We have two congruent triangles and 3 different rectangles.
<u>Triangles</u>:
The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height. The base here is 3 and the height is 4, so:
A = (1/2) * b * h
A = (1/2) * 3 * 4 = 6
Since there are two triangles, multiply 6 by 2: 6 * 2 = 12 cm squared
<u>Rectangles</u>:
The area of a rectangle is denoted by: A = b * h, where b is the base and h is the height.
The base of the leftmost rectangle is 4 and the height is 7, so:
A = b * h
A = 4 * 7 = 28
The base of the middle rectangle is 3 and the height is 7, so:
A = b * h
A = 3 * 7 = 21
The base of the rightmost rectangle is 5 and the height is 7, so:
A = b * h
A = 5 * 7 = 35
Add these together:
12 + 28 + 21 + 35 = 96 cm squared
The answer is thus A.
<h2>
Area of Composite Shapes</h2>
To find the area of composite shapes, we can break the bigger shape down into small, simpler shapes, and find the sum of their areas.
For this triangle, we will need to know the formula to find the area of a triangle:
<h2>Solving the Question</h2>
The given shape can be seen as one large triangle with a little triangle cut out of it. To find the shaded region, we can:
- Find the area of the large triangle
- Find the area of the little triangle
- Subtract the area of the little triangle from the large triangle
<h3>Area of the Large Triangle</h3>
⇒ Plug in the values given for the base and height:
<h3>Area of the Small Triangle</h3>
⇒ Plug in the values given for the base and height:
<h3>Subtract the Area of the Small Triangle from the Area of the Large Triangle</h3>
<h2>Answer</h2>
The area of the shaded region is 
.
