15 minutes= 2 problems
75 / 15 = 5
2 x 5 = 10 problems
X + 0.5 + 3x - 2 = 3x + 1.5
X= 3.5
Putting the all x on the right side and distributing all the numbers on the left side
Let the number be x, therefore, its square is x², and 44 more than the number is x+44 whose square is (x+4)².
Thus the sum will be x² + (x+44)²² = 8080
x² + x² + 88x + 1936= 8080 Combining the right terms
2x² + 8x - 6144 = 0 dividing by 2
x² + 44x - 3072 =0 solving for x
x = 37.6 or -81.6
Therefore, the positive number is 37.6
Try this way:
S=S₁-S₂, where S - area of the figure, S₁ - area of the triangle, S₂ - area of the quadrangle.
S=0.5*(5+2)*(5+4)-2*4=31.5-8=23.5 in.²
Answer: 23.5 in.²
Answer:
y = (x - 3)² + 6
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = x² - 6x + 15
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 15
y = (x - 3)² - 9 + 15
y = (x - 3)² + 6 ← in vertex form
