Correct formula is y = kx, where k is the "constant of proportionality."
If y = 9 when x = 2, then 9 = k(2), or k = 9/2.
Then y = (9/2)x.
If x = 3, y = (9/2)(3) = 27/2 (answer)
<h3>
Answer: AC = sqrt(21)/2</h3>
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Explanation:
Triangle CDA is congruent to triangle CDB. We can use the HL (hypotenuse leg) congruence theorem to prove this. This only works because we have two right triangles.
Since CDA and CDB are congruent, this means their corresponding pieces are the same length. Specifically AD = DB, so
AD+DB = AB
AD+AD = 3
2*AD = 3
AD = 3/2 = 1.5
For triangle CDA, we have AD = 3/2 = 1.5 and CD = sqrt(3). We can use the pythagorean theorem to find the missing side AC
a^2 + b^2 = c^2
(AD)^2 + (CD)^2 = (AC)^2
(3/2)^2 + (sqrt(3))^2 = (AC)^2
9/4 + 3 = (AC)^2
(AC)^2 = 9/4 + 3
(AC)^2 = 9/4 + 12/4
(AC)^2 = 21/4
AC = sqrt(21/4)
AC = sqrt(21)/sqrt(4)
AC = sqrt(21)/2
This is the same as writing (1/2)*sqrt(21) or 0.5*sqrt(21)
Hi there:)
The formula is
A=p (1+r)^t
A future value 3007.26
P principle 2000
R interest rate 0.06
T time ?
To solve for t use this formula
T=log (A/p)÷log (1+r)
T=log(3,007.26÷2,000)÷log(1+0.06)
T=6.9 years round
T= 7 years
Hope it helps
Simplify each side of the equation by removing parentheses and combining like terms.
Use addition or subtraction to isolate the variable term on one side of the equation.
Use multiplication or division to solve for the variable.
Answer:
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Step-by-step explanation: I just took the test on edge
