Answer:
y = 49
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 21 when x = 6 , then
21 = 6k ( divide both sides by 6 )
3.5 = k
y = 3.5x ← equation of variation
When x = 14 , then
y = 3.5 × 14 = 49
Answer:
3
Step-by-step explanation:
We know x = -2, so we can substitute -2 in for x
3x^2- 9
3*-2^2-9
Solve the exponent first (PEMDAS)
3*4-9
Multiply next
12-9
Subtract
3
Answer:
x - 9
Step-by-step explanation:
In this case, "simplify" directs that you 1) carry out the indicated multiplication and 2) combine like terms.
-3(x+3)+4x = -3x - 9 + 4x = x - 9
<u>Finding x:</u>
We know that the diagonals of a rhombus bisect its angles
So, since US is a diagonal of the given rhombus:
∠RUS = ∠TUS
10x - 23 = 3x + 19 [replacing the given values of the angles]
7x - 23 = 19 [subtracting 3x from both sides]
7x = 42 [adding 23 on both sides]
x = 6 [dividing both sides by 7]
<u>Finding ∠RUT:</u>
We can see that:
∠RUT = ∠RUS + ∠TUS
<em>Since we are given the values of ∠RUS and ∠TUS:</em>
∠RUT = (10x - 23) + (3x + 19)
∠RUT = 13x - 4
<em>We know that x = 6:</em>
∠RUT = 13(6)- 4
∠RUT = 74°
Your answer is 506.44.
multiply 662 x .10 now minus that answer from 662 to get 595.80
now multiply that by .15
now minus that by 595.80
gives you 506.43
