Answer:
False, False, True, False, True
Step-by-step explanation:
When you divide by a whole number, the answer always come out smaller
When you divide by a fraction, the answer always come out larger
The order of mathematical operation is MDAS.
M - multiplication
D - division
A - addition
S - subtraction
3 - 3 x 6 + 2
Multiplication : 3 x 6 = 18
Division: none
Addition : + 3 + 2 = 5 (combine positive numbers)
Subtraction : 5 - 18 = -13
3 - 18 + 2 = -13
Answer:
210 cm³
Step-by-step explanation:
volume = W x L x H
(where W = width, L = length and H = height)
By inspection of the diagram,
W = 6 cm
L = 7 cm
H = 5 cm
Therefore, volume = 6 x 7 x 5 = 210 cm³
(f×g)(-1) is -14.
Step-by-step explanation:
- Step 1: Calculate (f×g)(x) by using the formula (f×g)(x) = f(x) × g(x)
⇒ (f×g)(x) = (x + 3)(4x - 3)
⇒ (f×g)(x) = 4x² - 3x + 12x - 9
⇒ (f×g)(x) = 4x² + 9x - 9
- Step 2: Find (f×g)(-1) by substituting -1 in the place of x
⇒ (f×g)(-1) = 4(-1)² + 9(-1) - 9
⇒ (f×g)(-1) = 4 - 9 - 9 =-14
Answer:
(x +6)^2 +(y +2)^2 = 72
Step-by-step explanation:
The given points are vertices of a right triangle. The circle circumscribing that triangle (through all 3 vertices) will have its center at the midpoint of the hypotenuse:
((0, 4) +(-12, -8))/2 = (-6, -2)
The equation of a circle with center (h, k) through point (a, b) is ...
(x -h)^2 +(y -k)^2 = (a -h)^2 +(b -k)^2
For center (-6, -2) and point (0, 4), the equation is ...
(x +6)^2 +(y +2)^2 = (0+6)^2 +(4 +2)^2
(x +6)^2 +(y +2)^2 = 72
