Answer:
1. A = 40 units²
2. A = 72 units²
3. B) 45
Step-by-step explanation:
1. This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 4(1/2 x 5 x 4)
= 40 units²
2. This shape comprises two pairs of congruent triangles.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)
= 72 units²
3. Count the number of shaded squares:
9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²
Answer:
the 4th graph
Step-by-step explanation:
the x-axis is first (the horizontal line), then the y-axis is next ( vertical line). you have to with the pairs that you are given. {(1, 2)...} you find the 1 on the x-axis then move up 2 space. that will be your first dot. then you do the same with the rest of them
Answer:
(6, - 4 )
Step-by-step explanation:
Given the 2 equations
- 
y = 3 → (1)
x - 
= 12 → (2)
Multiply (1) by 8 and (2) by 6 to clear the fractions
2x - 3y = 24 → (3)
10x - 3y = 72 → (4)
Rearrange (3) expressing - 3y in terms of x by subtracting 2x from both sides
- 3y = 24 - 2x
Substitute 3y = 24 - 2x into (4)
10x + 24 - 2x = 72, that is
8x + 24 = 72 ( subtract 24 from both sides )
8x = 48 ( divide both sides by 8 )
x = 6
Substitute x = 6 in either (3) or (4) and solve for y
Substituting in (3)
2(6) - 3y = 24
12 - 3y = 24 ( subtract 12 from both sides )
- 3y = 12 ( divide both sides by - 3 )
y = - 4
Solution is (6, - 4 )
Answer:
<em>Hello, I think the answer is -0.84 Hope That Helps!</em>
Answer:
Prime number: A prime number has factor of only 1 and itself.
Ex: 3: 1 and 3 are the only ways to compose 3.
A whole number that has factors other than 1 and itself is called a composite number.
Ex: 8: the factors of 8 include 1,2,4,8
Circle 5,7,2,19,3,11
Box 18,20,22,16,15,30,26,38,45,10,21,6,14
To determine the prime factorization of a number, you must break down a number into its factors. (im not sure?)
Continute until all of the factors are (im not sure)
Prime factorization is written exponential form (im not quite sure)
30= 2x3x5
30= 2^1 3^1 5^1
24=2 × 2 × 2 × 3
24= 2^3 x 3
sorry idrk if they are all right
