Answer:
x = 7
Step-by-step explanation:
QY = 5x
YZ = 18
QZ = 53
Thus:
QY + YZ = QZ (segment addition postulate)
5x + 18 = 53
5x = 53 - 18 (subtraction property of equality)
5x = 35
Divide both sides by 5
x = 7
The formula for the area of a triangle is half the base times the height. So 1/2 x 40 x 32 = 640cm^2
X = apples trees
Y= azaleas
6x + 5y = 219
3x + 4y = 132
-2(3x + 4y = 132)
-6x - 8y = -264
6x + 5y = 219
-3y = -45
-3y/-3 = -45/-3
y = 15
6x + 5y = 219
6x + 5(15) = 219
6x + 75 - 75 = 219 - 75
6x/6 = 144/6
X = 24
The cost for each apple tree is $24 and fit each azalea is $15
15/6 is an improper fraction.
Lets convert this into a proper fraction.
How many times does 6 go into 15?
6*2 = 12
Only twice, so our whole number is 2.
15-12 = 3
3 is our numerator.
2 3/6 = 2 1/2
Mixed number form: 2 1/2
Final answer: 2 1/2
Answer:
y = (5/9)(x -2)(x +6)
Step-by-step explanation:
When a polynomial has a zero (p, 0), it has a factor (x -p).
The given zeros mean the factored form of the equation will be ...
y = a(x -2)(x +6)
The given point will mean the value of 'a' will satisfy ...
(x, y) = (3, 5)
5 = a(3 -2)(3 +6) = 9a
a = 5/9 . . . . . . . . . . . . . . divide by the coefficient of 'a'
The factored equation is ...
y = (5/9)(x -2)(x +6)
