Answer:
A) x=2, 8
Step-by-step explanation:
abs(x-5)=3
x-5=3, x-5=-3
x=3+5=8,
x=-3+5=2
Answer:
D. (0.6, 1.3)
Step-by-step explanation:
The difference between y-values is smallest for x=0.6. The approximate y-value is reasonably chosen as the average of the y-values for that value of x.
(x, y) = (0.6, 1.3) is a reasonable approximation
A = a^2.....where " a " is the size of 1 side
A = 256
256 = a^2...take sqrt of both sides, eliminating the ^2
sqrt 256 = a
16 = a
so each side is 16 ft....now we find the perimeter
P = 4a....where " a " is the size of each side
P = 4(16)
P = 64.......so they will need 64 ft of fencing <===
Answer:
18 cm^2
Step-by-step explanation:
The legs of a right triangle are the base and height of the triangle.
Since C is a right angle, AB is the hypotenuse.
AC and BC are the legs and the base and height.
sin 75 = BC/12
BC = 12 sin 75
cos 75 = AC/12
AC = 12 cos 75
area = bh/2 = (12 sin 75)(12 cos 75)/2
area = 18 cm^2
Let the 1st number be x; 2nd number be y; 3rd number be z.
x + y + z = 79
x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first
Therefor,
x + (x * 5) + (x+16) = 79
1st step, multiply the 2nd number: x * 5 = 5x
x + 5x + x + 16 = 79
Add all like numbers:
7x + 16 = 79
To get x, transfer 16 to the other side and change its sign from positive to negative.
7x = 79 - 16
7x = 63
To get x, divide both sides by 7
7x/7 = 63/7
x = 9
To check. Substitute x by 9.
x + (x * 5) + (x+16) = 79
9 + (9 * 5) + (9 + 16) = 79
9 + 45 + 25 = 79
79 = 79 equal. value of x is correct.
