Answer:
The correct option is D.
Step-by-step explanation:
The given expression is
Difference of two squares property:
Using the above property, the given expression can be written as
Applying square we get
Therefore the correct option is D.
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
4x+y=17;4x−3y=−3
Step: Solve4x+y=17for y:
4x+y+−4x=17+−4x(Add -4x to both sides)
y=−4x+17
Step: Substitute−4x+17foryin4x−3y=−3:
4x−3y=−3
4x−3(−4x+17)=−3
16x−51=−3(Simplify both sides of the equation)
16x−51+51=−3+51(Add 51 to both sides)
16x=48
16/x = 48/16
(Divide both sides by 16)
x=3
Step: Substitute 3 for x in y=−4x+17:
y=−4x+17
y=(−4)(3)+17
y=5(Simplify both sides of the equation)
Answer:
x=3 and y=5
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity to determine if the triangle is right
The square of the longest side should equal the sum of the squares on the other 2 sides, that is
QS² = RS² + QR² = 8² + 5² = 64 + 25 = 89 ( take the square root of both sides )
QS = 
Δ QRS is not right as QS would have to be
Answer:
Area: (x^2)-(9x/2)-2 3rd side=4x+9
Step-by-step explanation:
First, let's find the third side. If all of the sums add up to 7x+5, then we can easily subtract the two sides that we do have.
2x+1+x-5=3x-4
Now, you have to ask yourself what added to 3x-4 can be equal to 7x+5.
It's 4x+9 because we combine like terms. That's the third side. Now, we should follow the formula for getting the area of triangle using the side lengths:
(2x+1)(x-5)/2=area of triangle
2x*x=2x^2
2x*-5=-10x
x*1=x
-5*1=-5
Now the total is 2x^2-9x-4 when you continue to combine like terms. Now all we have to do is divide by 2. So, the area is 2x^2-9x-4/2. You can simplify that. Answer is up top.
The correct answer for this would be 240 hope this helps!
