To find the solution of the system of equations, basically find the point whew the 2 lines intersect at, in this case it would be (1,3).
Answer:
x = √3 - 1 and x = -√3 - 1
Step-by-step explanation:
x^2 +2x - 2 = 0
To solve this equation, keep the variables on one side and constants on the other
x^2 + 2x = 2
Now to complete the square, divide the coefficient of x by 2:
2x ---> coefficient of x is 2
so 2/2 = 1
Now add the square of 1 to both the sides of the equation:
x^2 + 2x + (1)^2 = 2 + (1)^2
which makes it
(x + 1)^2 = 3
To solve it, take square root of both sides which gives
x = √3 - 1 and x = -√3 - 1
Answer:
Angela by 3 sf per hour
Step-by-step explanation:
60÷15=4
28×4=112
115-112=3
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10
REVISED
Answer:
x = 15.33
Step-by-step explanation:
3y is equal to 2x + 13. The reason why is because they are corresponding angles, (right next to each other). From there, you would have to substitute y into 3y. The equation should look like: 3(23) = 2x + 13. All that is left is to solve for x.