Answer:
3/8 simplified is still 3/8 (0.375 in decimal form)
9/64 simplified is also still 9/64 (0.140625 in decimal form)
Step-by-step explanation:
Answer: x = 14.43
Step-by-step explanation:
The Pythagorean Theorem states the following:
a^2 + b^2 = c^2
Make one side of the triangle x
Make the second side of the triangle 2x
Now, you can plug the values into the equation, right?
x^2 + 2x^2 = 25^2 or 625
3x^2 = 625
Divide each side by 3 and you are left with:
x^2 = 208.33
Now, take the square root of 208.33
x = 14.43
That is the shorter side. The longer side is twice that value: Therefore, 14.43 x 2 = 28.86 14.43 is one side of the triangle. The other is that same value times two. Therefore, the sides of your triangle are: 14.43 Shorter side 28.86 Longer side
Answer:
(x, y) = (1.89, 0.59)
Step-by-step explanation:
Written in general form, the equations are ...
4x +5y -10.51 = 0
3x +8y -10.39 = 0
These can be solved using the cross-multiplication method to find ...
∆1 = (4)(8) -(3)(5) = 17
∆2 = (5)(-10.39) -(8)(-10.51) = 32.13
∆3 = (-10.51)(3) -(-10.39)(4) = 10.03
Then the values of the variables are ...
x = ∆2/∆1 = 32.13/17 = 1.89
y = ∆3/∆1 = 10.03/17 = 0.59
The solution is (x, y) = (1.89, 0.59).
The answer is B, or 2x + 3y - 5 = 0. This is because when you substitute both points in for x and y, you get the values of 0=0, which is true!
Hello,
if the question is to solve the equation:
1) log must exist:
a)==>2r²-27>0==>(r-√(27/2))(r+√(27/2))==> outside the roots
r<-√(27/2) or r>√(27/2)
b)==>3r²+12r>0 ==>3r(r+4)>0 ==>outside the roots
r>0 or r<-4
==>r<-4 or r>√(27/2)=3.6742...
If this is realized:
2r-27=3r²+12r
==>r²+12r+27=0
Δ=12²-4*27=36=6²
r=(-12+6)/2=-3 or r=(-12-6)/2=-9
One solution r=-9
Proof