Answer:
8
Step-by-step explanation:
Let the equation of the function represented by the table is,
y - y' = m(x - x')
Where m = slope of the line
(x', y') is a point lying on the line.
Since, slope of a line passing through and is,
m =
Therefore, slope of a line passing through (18, 26) and (35, 43) is,
m =
= 1
Therefore, equation of the line passing through (18, 26) and slope 1 will be,
y - 26 = 1(x - 18)
y = x - 18 + 26
y = x + 8
Therefore, missing term of the equation is 8.Step-by-step explanation:
Answer: perimeter = 96mm, Area = 564mm².
Step-by-step explanation:
From the diagram, it is a trapezium, it has a rectangle joined together by a right angled triangle. Now to find the perimeter, we add all the dimensions together. To get the other side of the rectangle, which is also the perpendicular height of the figure, we take the Pythagoras. Let the perpendicular height = x
Therefore,
25² = ײ + 7²
625 = x² + 49
x² = 625 - 49
x² = 576
x. = √576
= 24.
Now the perimeter
= 20 + 25 + 7 + 20 + 24
= 96mm.
Area of the figure will be
= 1/2( a + b )h
Where a = 20, b = 20 + 7 = 27 and h = 24, now substitute for the values
( 20 + 27) x 24
---------------------
2
= 47 x 24/2
= 47 x 12
= 564mm²
To determine the cost of the mail, we simply substitute the mass of the package to the given function. Mathematical functions are used to relate two variables, observing how changing one variable affects the other variable. For this case, the cost of a mail and the weight of the package are related by the function <span>y = 0.7x2 –2.5x + 3 where x represents the mass in units of pounds (lb) and y is the cost in units of dollars ($). We calculate cost as follows:
</span><span>y = 0.7x^2 –2.5x + 3
</span><span>y = 0.7(5)^2 –2.5(5)+ 3
y = 8 dollars
Therefore, the cost of mailing a 5 lb package would be 8 dollars.</span>
Multiply the gain per month by the number of months:
1.2 x 7 = 8.4 pounds.
Add to the birth weight:
8 + 8.4 = 16.4 pounds.
To the nearest pound = 16 pounds.