Answer:
30.56 yd²
Step-by-step explanation:
To determine the area of the composite shape, we need to:
- Divide the shape into two smaller "known" shapes (Refer to image).
- Determine the area of those "known" shapes.
- Add the area of the known shapes to obtain the area of the figure.
<u>Determining the area of shape 1 (Rectangle 1):</u>
⇒ Area of rectangle = Lenght × Breadth
⇒ = 2.1 × 4.8
⇒ = 10.08 yd²
<u>Determining the area of shape 2 (Rectangle 2):</u>
⇒ Area of rectangle = Lenght × Breadth
⇒ = 6.4 × 3.2
⇒ = 20.48 yd²
<u>Determining the area of the figure:</u>
⇒ Area of figure = Area of rectangle 1 + Area of rectangle 2
⇒ = 10.08 + 20.48
⇒ = 30.56 yd²
Standard for is x × 10 ^I
where,
I = indice
10 > x < 0
you cannot write this is standard form with putting in what they stand for. However you can simplify it -
4(8m-7n) +6(3n-4m)
32m - 28n + 18n - 24m
8m - 10n
but hey I am from England do what we call standard form might be different
<h3>
Answer: 18 miles</h3>
Reason:
The path is 2 miles and Randy walked it 13 times. He walked a total of 2*13 = 26 miles.
Carla walked the path 22 times, so she walked a total of 2*22 = 44 miles.
The difference of those results is 44-26 = 18 miles.
If you wanted to do the full calculation in one line, then it would be
2*22 - 2*13 = 18
or you could say
2*(22-13) = 18
Answer:
x = 4
y = -3
Step-by-step explanation:
We can use substitution, elimination, or graphically.
Step 1: Rearrange first equation
2x + 4y = -4
2x = -4 - 4y
x = -2 - 2y
Step 2: Rewrite systems of equations
x = -2 - 2y
3x + 5y = -3
Step 3: Substitution
3(-2 - 2y) + 5y = -3
-6 - 6y + 5y = -3
-6 - y = -3
-y = 3
y = -3
Step 4: Find <em>x</em> using <em>y</em>
2x + 4(-3) = -4
2x - 12 = -4
2x = 8
x = 4
Graphically:
Use a graphing calc and analyze where the 2 lines intersect.
Use the distributive property.
4(4a + 5) = 4 * 4a + 4 * 5 = 16a + 20
Answer: 16a + 20
