Answer:
Q1) (x+7)² = 9
x = -10, -4
Q2) (x-8)² = 144
x = -4, 20
Q3) (x-1)² = 81
x = -8, 10
Step-by-step explanation:
Q1) x² + 14x + 49 = 9
x² + 2(x)(7) + 7² = 9
(x + 7)² = 9
x + 7 = +/- sqrt(9)
x + 7 = 3
x = -4
x + 7 = -3
x = -10
Q2) x² - 16x + 64 = 144
x² - 2(x)(8) + 8² = 144
(x - 8)² = 144
x - 8 = +/- sqrt(144)
x - 8 = 12
x = 20
x - 8 = -12
x = -4
Q3) x² - 2x + 1 = 81
x² - 2(x)(1) + 1² = 81
(x - 1)² = 81
x - 1 =+/- sqrt(81)
x - 1 = 9
x = 10
x - 1 = -9
x = -8
Answer:
m(
1000
123f
+
5
381p
)
Step-by-step explanation:
i dont know if thats right that my compution
sorry
Answer:
x > 6 and x ≤ 10
Step-by-step explanation:
You have to sleep for more than 6 hours, which means it is greater than and can not be equal to because it has to be more than 6 hours.
For the second problem, at most includes the 10th person so x is less than or equal to 10.
Hope this makes sense!!
Answer:
18/25
Step-by-step explanation:
Total number of students = 23+14+10+3 = 50.
14 out of 50 are playing sport and taking a foreign language.
So the answer is (50 - 14) / 50
= 36/50
= 18/25.
Answer:
h = 7.1 cm
Step-by-step explanation:
To find the height of the triangle, we can first find the area of the triangle using the Heron's formula:
Where a, b and c are the sides of the triangle and p is the semi perimeter of the triangle:
So the area of the triangle is:
Now, to find the height, we can use the following equation for the area of the triangle:
The height draw in the figure is relative to the side of 17 cm, so this side is the value of base used in the formula. So we have that:
Rounding to the nearest tenth, we have h = 7.1 cm
