PLEASE EXPLAIN YOUR REASONING!!
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
To calculate the result of that mutiplication you have to firs evaluate the first term of the second function multipying the whole first function, woudl be like this:
Now that you have this, you multiply the second term from the second function to obtain:
Now you just have to add both results:
+
And the result of the sum would be:
Answer:
P =2(x+ y) .
A =xy
Step-by-step explanation:
perimeter of rectangle (P)= 2(L+B
Area of rectangle (A) = L×B
Given,
width = 'x'
length = y = x+20
therefore using above formula
P = 2(x+20 + x) = 2(2x+20)
A = (x+20)(x)
cost of land per square foot = $12
cost of land per linear foot = $8
total cost of land = $10560
now,
P×8 + A×12 = 10560
2(2x+20)×8 + (x+20)(x)×12 = 10560
32x + 320 + 12x²+ 240x = 10560
12x² + 272x = 10240
12x² + 272x - 10240 = 0
solving this quadratic equation using Discriminant method
x = [-b ±√(b² - 4ac)]/2
where b is the coefficient of x
a is the coefficient of x²
and c is the constant term
by replacing values in the above formula
x = 19.5 , x = -42.24
as the area cannot be negative therefore -42.24 is neglected
hence x = 19.5ft
more on quadratic equations on
#SPJ10
Answer:
1.
2.
3.
4.
5.
6.
Step-by-step explanation:
Please find the attached diagram for the complete question.
We are supposed to complete the given blanks.
1.
We can see from our given diagram that angle KLP and angle PLM are linear angles, so their measure will be equal to 180 degrees. Therefore, the correct expression for blank in 1st step would be .
2.
Now, we will substitute the measure of angle angle KLP in our equation. We can see that measure of angle angle KLP is . Therefore, the correct expression for blank in 2nd step would be
.
3.
Our next step is to find the measure of angle PLM in terms of x by subtracting from both sides as:
Therefore, our 3rd step would be .
4.
We can see that angle PMN is an exterior angle of our given triangle, so its measure will be equal to the sum of the opposite interior angles.
We can see that angle P and angle PLM are opposite interior angle of angle PMN, so we can set an equation as:
Therefore, the correct expression for blank in 4th step would be .
5.
Our next step is to substitute the values of angle PMN and angle P as given in the diagram.
Therefore, our 5th step would be .
6.
Now, we need to solve for x using algebra as:
Therefore, the value of x is 27 degrees.
