Answer:
y = x + 5
Step-by-step explanation:
The graph of the ramp function y = x is a straight line with slope +1 and passing through the origin. If the whole graph is shifted up 5 units, the equation/function becomes
y = x + 5. The resulting graph is parallel to y = x.
Answer:
For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:
A = (1/2)*H*(X + Y)
with this we can complete the table.
a)
Here we know:
X = 7cm
Y = 11cm
H = 6cm
Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2
b)
Here we know:
X = 8 m
Y = 10 m
A = 126 m^2
Then:
126 m^2 = 0.5*H*(8m + 10m)
126 m^2 = H*9m
126 m^2/9m = H = 14m
Then the height of this trapezoid is 14m
c)
Here we know:
X = 5mm
H = 8mm
A = 72 mm^2
Then:
72 mm^2 = 0.5*8mm*(5mm + Y)
72 mm^2 = 4mm*(5mm + Y)
72mm^2/4mm = 5mm + Y
18 mm = 5mm + Y
18mm - 5mm = Y
13 mm = Y
Then the parallel side 2 is 13 mm long.
Answer:
20.354 inches
Step-by-step explanation:
1 inch = 2.54 cm
We have 51.7 cm
51.7 cm 1 inch
----------- * ----------- = 20.35433071 inches
1 2 .54 cm
We need to round to the nearest thousandths (3 decimal places)
20.354 inches
Answer:
he owed $4
Step-by-step explanation:
Ben borrowed twenty dollars to spend, and 20 is above 16, so his savings is immediately gone. He owes four dollars because that's how much he needs even after using up his savings.
9/27 is equivalent to 2/27
