Answer:
(-4,-19)
Step-by-step explanation:
Substitute the points into the equation and see if it is true
y = 4x-3
-3 = 4(4) -3
-3 = 16-3
-3 = 13 false
-19 = 4(-4) -3
-19 = -16-3
-19 -19 true
8.6 + 5c = -29, first you want to subtract 8.6 from -29 making -37.6
5c = -37.6, you then want to divide -37.6 and 5 making -7.52
c = -7.52
Answer:
Step-by-step explanation:
CG = 
CF
8x = (9x + 6)
8x = 6x + 4
2x = 4
x = 2
I believe it would 15/8.
Tangent is Opposite/Adjacent so 15/8
Hope this helps! :)
Given: <span>9=(1/27)^(a+3)
[Note: Please review rules of PEMDAS.
The question posted as is means
</span><span>9=[(1/27)^a]+3 which is probably not what you mean. It has been interpreted with (a+3) as the exponent, please check.]
</span><span>
Need to find value of a that satisfies above.
We will first isolate a in order to solve for its value.
</span>9=(1/27)^(a+3)
Switch unknown to the left
(1/27)^(a+3) = 9
Since both 27 and 9 are powers of 3, we can take log to base 3.
take log (base 3) on both sides, applying rule of logarithm of exponents.
(a+3)log_3(1/27)=log_3(9)
(a+3)log_3(3^(-3))=log_3(3^2)
Apply definition of logarithm [log_a(a^k)=k]
(a+3)(-3)=2
(a+3)=-2/3
a=-3 2/3=-11/3
Check: (1/27)^(-11/3+3)=(1/27)^(-2/3)=(3^(-3))^(-2/3)=3^(-3(-2/3))=3^2=9 ok
Answer: a=-11/3 or a=-3.667 (approx.)
