Answer:
C
Step-by-step explanation:
It makes sense
Step-by-step explanation:
75×1=75
75×2=150
75×3=225
75×4=300
75×5=375
75×6=450
75×7=525
75×8=600
75×9=675
75×10=750
Answer:
y has the greatest value.
Step-by-step explanation:
1.23w = t
Divide both sides by 1.23.
--- (1)
1.01x = t
Divide both sides by 1.01.
--- (2)
0.99y = t
Divide both sides by 0.99.
--- (3)
From (1), (2) and (3), it is clear that y has the greatest value.
Answer:
- (3, 5), (1, 2) and (5, 1)
Step-by-step explanation:
Make three systems with pairs of lines and solve them to work out the vertices.
1) <u>Line 1 and line 2</u>
<u>Double the second equation and subtract equations:</u>
- -3x + 2y - 2(2x + y) = 1 - 2(11)
- -3x - 4x = 1 - 22
- -7x = - 21
- x = 3
<u>Find y:</u>
- 2*3 + y = 11
- 6 + y = 11
- y = 11 - 6
- y = 5
The point is (3, 5)
2) <u>Line 1 and line 3</u>
<u>Triple the second equation and add up equations:</u>
- -3x + 2y + 3(x + 4y) = 1 + 3(9)
- 2y + 12y = 1 + 27
- 14y = 28
- y = 2
<u>Find x:</u>
- x + 4*2 = 9
- x + 8 = 9
- x = 1
The point is (1, 2)
3) <u>Line 2 and line 3</u>
<u>Double the second equation and subtract the equations:</u>
- 2x + y - 2(x + 4y) = 11 - 2(9)
- y - 8y = 11 - 18
- - 7y = - 7
- y = 1
<u>Find x:</u>
- x + 4*1 = 9
- x + 4 = 9
- x = 5
The point is (5, 1)
Answer:
w = 4 cm
Step-by-step explanation:
recall that the area of a triangle is given by
A = (1/2) x base length x height
we are given:
A = 10 cm²
base length = 5 cm
height = w
substituting the values above into the equation,
A = (1/2) x base length x height
10 = (1/2) x 5 x w
20 = 5w
w = 20/5
w = 4 cm
