Answer:
14cm²
Step-by-step explanation:
Area of a triangle (A) is 1/2bh where;
b is the base of the triangle
h is the height of the triangle
Given the base = 7cm and height = 4cm,
Substituting the given values into the formula of area of a triangle we have;
A = 1/2×7×4
A = 14cm²
Therefore the area of the triangle is 14cm²
Answer:
(1, 3)
Step-by-step explanation:
Given the expression
x+y = 4 ... 1
y = 2x+1 ....2
Substitute equation 2 into 1
x + (2x+1) = 4
3x + 1 = 4
3x = 4-1
x = 3/3
x = 1
Since y = 2x + 1
y = 2(1) + 1
y = 3
Hence the solution to the equation is (1,3). This means that the coordinate point on the graph where both lines intersect will be at (1, 3)
Answer:

Step-by-step explanation:
We are given that
Length of rope=l=160 feet
Radius of quadrant of circle=r=160 feet
We have to find the maximum grazing area of the cow.
We know that
Area of quadrant of circle=
Where 
Using the formula
Area grazed by cow=
Area grazed by cow=
So for this problem, we will be using the exponential equation format, which is y = ab^x. The a variable is the initial value, and the b variable is the growth/decay.
Since our touchscreen starts off at a value of 1200, that will be our a variable.
Since the touchscreen is decaying in value by 25%, subtract 0.25 (25% in decimal form) from 1 to get 0.75. 0.75 is going to be your b variable.
In this case, time is our independent variable. Since we want to know the value 3 years from now, 3 is the x variable.
Using our info above, we can solve for y, which is the cost after x years.

In context, after 3 years the touchscreen will only be worth $506.
3: 18
4: 17
5: 561
6: 17
7: 23
:)