Hope this equation is correct and helps you
Answer:
-9/2
Step-by-step explanation:
-2x-5 = 4
+5 +5
-2x = 9
------ ------
-2 -2
x = -9/2
Answer:
B. No.
Step-by-step explanation:
We have been given 3 side lengths 7 ft, 12 ft, 17 ft. We are asked to determine, whether the given set of lengths can form a right triangle or not.
We will use Pythagoras theorem to solve our given problem, which states that the square of hypotenuse of a right triangle is equal to the sum of squares of two legs of right triangle.
Since the sum of squares of both legs is less than square of hypotenuse, therefore, the given set of lengths can not be the side lengths of a right triangle.
Answer:
Put the equation in standard form by bringing the 4x + 1 to the left side.
7x2 - 4x - 1 = 0
We use the discriminant to determine the nature of the roots of a quadratic equation. The discriminant is the expression underneath the radical in the quadratic formula: b2 - 4ac.
b2 - 4ac In this case, a = 7, b = -4, and c = -1
(-4)2 - 4(7)(-1)
16 + 28 = 44
Now here are the rules for determining the nature of the roots:
(1) If the discriminant = 0, then there is one real root (this omits the ± from the quadratic formula, leaving only one possible solution)
(2) If the discriminant > 0, then there are two real roots (this keeps the ±, giving you two solutions)
(3) If the discriminant < 0, then there are two imaginary roots (this means there is a negative under the radical, making the solutions imaginary)
44 > 0, so there are two real roots
Answer:
A computer costs $225 and a printer $150.
Step-by-step explanation:
Let c be the cost of a computer and p the cost of a printer, then:
3c + p = 825
4c + 2p = 1200
Multiply the first equation by -2:
-6c - 2p = -1650
Add this to the second equation:
-2c = -450
c = 225.
Now substitute c = 225 in the first equation:
3*225 + p = 825
p = 825 - 675 = 150.
