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
(6,21)
This is because the top (x) is going up by two each time and the bottom row (y) is adding seven
Answer:
Option D
Step-by-step explanation:
Segment BD = Segment BD by reflexive property.
And that will also complete the congruence by AAS postulate.
Answer:
31.5 cm
Step-by-step explanation:
scale of an architecture is ratio of size of drawing to size of actual object.
Given size of football field is 160 feet by 360 feet
Given that on map shortest side is 14
since value of shortest side is 160 feet
then
scale defined for this football filed will be
scale = size of shortest side on model/size of shortest side of actual football field
scale = 14/160
Given that scale will remain same for longer side as
14/160= size of longer side on model/size of longer side of actual
14/160 = size of longer side on model/360
thus,
size of longer side on model = (14/160) * 360
size of longer side on model = 14*360/160 = 31.5
Thus, the other side of model that is longer side is 31.5 cm
Answer:
8 and - 2
Step-by-step explanation:
let x be the larger number and y the smaller , then
x = 5y + 18 → (1)
3x + 4y = 16 → (2)
substitute x = 5y + 18 into (2)
3(5y + 18) + 4y = 16 ← distribute parenthesis and simplify left side
15y + 54 + 4y = 16
19y + 54 = 16 ( subtract 54 from both sides )
19y = - 38 ( divide both sides by - 19 )
y = - 2
substitute y = - 2 into (1)
x = 5(- 2) + 18 = - 10 + 18 = 8
then larger number is 8 and smaller is - 2
