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
7:
Parallel lines have the same slope
y = -3x + b
Plug in the x and y values from the point
5 = -3(-4) + b
5 = 12 + b
-7 = b
Answer to 7: y = -3x -7
8:
Perpendicular lines have opposite reciprocal slopes
y = -2x + b
Plug in x and y from the point
-6 = -2(7) + b
-6 = -14 + b
8 = b
Answer to 8: y = -2x + 8
Answer:
-11.8
Step-by-step explanation:
<u>Given:</u>
-3.4 to 12.4 increased (difference = 15.8)
12.4 to 20.4 decreased (difference = 8)
20.4 to 3.2 increased (difference = 17.2)
<u>To find:</u>
Final temperature.
Solution:
As we noticed, this is a pattern of increase, decrease, increase... (and so on and so forth). From this alone, we have gotten the clue that the temperature is going to decrease. But here is the thing, How far will it decrease?
Use the difference of the starting result to find the ending result.
3.2 - 15
= -11.8
Therefore, the final temperature is -11.8.
For both lines the slope is 5/2 or 2.5.
Since the y-intercept is zero for both, both the equations are:
y=2.5x
Or
y=5/2x
Answer:
27.5
Step-by-step explanation:
1.5(5)+20=27.5
:) hope its right :)
