A = (1/2) b * h
h = b - 5
42 = (1/2) * b * (b - 5)
42 = (1/2) * b^2 - 5b
multiply both sides by 2 to clear the fraction (1/2)
2(42) = 2(1/2) *b^2 - 5b
84 = b^2 -5b
Since this is a quadratic equation, subtract 84 from both sides so that it is set = to zero.
b^2 - 5b - 84 = 0
Now factor.
(b - 12)(b + 5) = 0
b - 12 = 0; b = 12
b + 5 = 0; b = -5
You can't have a negative length so the answer is 12m
To check the answer:
A = (1/2) * 12* 7
A = 42 m^2
1250 skiers bought season passes
2500 snowboarders bought season passes
Answer:
✔️Ratio of weight to mass in simplest form: 49/5 or 49 : 5
✔️x = 110
Step-by-step explanation:
Since the ratio of weight to mass is constant, therefore we can use any pair of values from the table to find the ratio that represents the table. Let's pick the first row:
(20, 196)
Ratio of weight to mass = 196 : 20
= 196/20
= 49/5
Or 49 : 5
✔️Let's use this ratio/proportion to find x in the table
Ratio of weight to mass = 49:5
Thus:
1078/x = 49/5
Cross multiply
x*49 = 1078*5
49x = 5,390
x = 5,390/49
x = 110
X^2 + y^2 - x - 2*y = 0
To find both coordinates and radius we need to make this equation in circle form:
(x-a)^2 + (y-b)^2 = r^2
x^2 - 2*1/2*x + 1/4 - 1/4 + y^2 - 2*1*y + 1 - 1 = 0
Here we are adding and subtracting numbers in order to get square binomial.
(x - 1/2)^2 + (y-1)^2 = 5/4
coordinates of center are (1/2,1) and the radius is √
Answer:
1. isosceles because two of the sides are equal
2. right because there is a right angle
Step-by-step explanation: