Answer:
x=3, y=8; (3,8)
Step-by-step explanation:
To use the substitution method, first solve for a variable.
2x+y=14
2x+y(-2x)=14(-2x)
y=14-2x
Now substitute y in the other equation with 14-2x
5x-2(14-2x)= - 1
Simplify by multiplying inside the parenthesis.
5x-28+4x= - 1
Combine the x values
9x-28= - 1
9x=27
x=3
Now substitute the x value in to solve for y
2(3)+y=14
6+y=14
y=8
Answer:
10 boxes in the top row.
192 boxes in entire display.
Step-by-step explanation:
Let n be the number of rows.
Given:
Total number of rows = 8
Boxes in bottom row = 38
And each row has four fewer boxes than the row below it.
Solution:
Part A:
We know that the bottom row has 38 boxes and each row has four fewer boxes than the row below it.
Using below function for determining the number of boxes in each rows.
Where:
n = Number of row.
We need to find the boxes in the first row.
So, substitute n = 1 in above function.
Therefore, 10 boxes in the top row.
Part B:
Total boxes in the entire display.
Using formula as given below to determine the sum of the boxes in entire display.
Substitute n = 8, f(1) = 10 and f(8) = 38 in the above equation.
Therefore, 192 boxes in the entire display.
Answer:
4/5
Step-by-step explanation:
Use the formulae
y2-y1 divided by x2- x1 then you will get your slope
Answer:
Hi, there your answer will C. 85pi ft^2
Step-by-step explanation:
pi(5)(12)+pi(5)^2
60pi+25pi
85pi ft^2
Hope this helps :)
Answer:
The entire area of the sailboat is 60cm²
Step-by-step explanation:
You can find the area of this shape by breaking it down into simpler shapes and adding up their individual areas.
In this case, the areas we'll use are the rectangle at the bottom, and the pair of triangles at the top.
Because the two triangles can be put together to form a single triangle, we don't need to measure them independently. We can simply take the total length of their bases, multiply it by their height, and divide by two. This follows the rule that the area of a triangle is equal to the area of the square that contains it divided by two.
(2cm + 3cm) × 6cm
= 5cm × 6cm
= 30cm²
The rectangle's area is of course equal to its width times its height, so we can say:
2.5cm × 12cm
= 30cm²
The total area of the shapes then is 30cm² + 30 cm², giving us a total area of 60cm²
