Answer:
x = 4
Step-by-step explanation:
y = kx²
NOTE: k is constant for proportionality
putting values for x and y
if x is 2
and y is 12
12 = k(2)²
12 = k4
12 = 4k
divide both sides by coefficient of k
12÷4 = 4k ÷ 4
k=3
substitute 3 for k
therefore when
y is 48
and k is constant 3
then x will be:
48=3x²
divide both sides by coefficient of x²
48 divide by 3 = 3x² divide by 3
16=x²
take the square root of both sides
√16 = √x²
x = 4
Answer: ∠P= 20°
<h3>
Step-by-step explanation: Well we know that the sum of a triangle always equals to 180°, so ∠P + 80 +80 = 180°
</h3>
∠P + 160 = 180
Subtract 160 from both sides, 160 on the left is cancelled so that 180-160 equals 20
∠P=20°
10:14 or 10 to 14
The total number of roses is 14 and there are 10 red roses. For every 14 roses there are 10 red roses.
Let the dimensions be x and y
Given that the area is 40m²
xy = 40 ----------------- (1)
Given that the perimeter is 26
2(x + y) = 26
x + y = 13
x = 13 - y ---------------- Sub into (1)
(13 - y)y = 40
13y - y² = 40
y² - 13y + 40 = 0
(y - 8)(y - 5) = =
y = 8 or y = 5
The dimensions are 8 meters and 5 meters
