Answer:
4
Step-by-step explanation:
3x-5=7x-21
3x-7x=5-21
-4x=-16 ( divide by -4 both sides)
x= 4
Answer:
x = 3 and x = -7
Step-by-step explanation:
The given quadratic equation is
. We need to find the solution of this equation.
If the equation is in the form of
, then its solutions are given by :

Here, a = 1, b = 4 and c = -21
Plugging all the values in the value of x, such that :

So, the solutions of the quadratic equation are 3 and -7.
Right Triangles and the Pythagorean Theorem
The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
The side opposite the right angle is called the hypotenuse (side c in the figure).
Answer:
5-3x7^0
(5-3)7^0
2x1
2
Step-by-step explanation:
7^0 is 1
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9514 1404 393
Answer:
162 degrees
Step-by-step explanation:
Angles P and F are supplementary, so ...
3x^2 +12x = 180
x^2 +4x = 60
x^2 +4x -60 = 0
(x +10)(x -6) = 0
The useful value of x that makes this true is x=6.
The measure of angle Q is 3x, so is 3·6 = 18 degrees. The measure of angle S is the supplement to that:
∠S = 180° -18° = 162°