Hey there!
Looking at the graph, we can see that the lengths of the two bases are 6 and 3. We can also see that the height is 6 as well.
The formula for the area of a trapezoid is shown below.
A=0.5h(a+b)
In the equation, h represents the height and a and b represent the two bases.
Let's plug our values into the equation.
A=0.5(6)(6+3)
A=3(9)
A=27
Therefore, our answers are below.
Bases: 3 and 6
Height: 6
Area: 27 square units
I hope this helps!
Answer:
y = 3x
Step-by-step explanation:
A proportional function has the equation
y = kx, where k is the constant of proportionality and also the slope of the line.
Answer: y = 3x
Answer:
(-2, 3)
Step-by-step explanation:
4x + 5y = 7
3x - 2y = -12
Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.
Let's work with y.
5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.
2(4x + 5y = 7)
5(3x - 2y = -12)
Multiply.
8x + 10y = 14
15x - 10y = -60
Eliminate.
23x = -46
Divide both sides by 23.
x = -2
Now that we know x, let's plug it back into one of equations to find y.
4x + 5y = 7
4(-2) + 5y = 7
Multiply.
-8 + 5y = 7
Add.
5y = 15
Divide.
y = 3
Now we know x and y; let's plug both back into the equation we have not checked yet.
3x - 2y = -12
3(-2) - 2(3) = -12
Multiply.
-6 - 6 = -12
Subtract.
-12 = -12
Your solution is correct.
(-2, 3)
Hope this helps!
Answer:
The correct option is d
Step-by-step explanation:
From the question we are told that
The sample size is n = 64
The mean is 
The standard deviation is 
Generally the standard error of the mean is mathematically represented as
=> 
=> 
Down 11 units and right 7 units.
