Answer:
(2, 4)
Step-by-step explanation:
To find the solution, set the equations equal to each other, then solve for x:
6x - 8 = -3x + 10
9x - 8 = 10
9x = 18
x = 2
Now, find the y value by plugging in 2 as x into one of the equations, and solve for y:
y = 6x - 8
y = 6(2) - 8
y = 12 - 8
y = 4
So, the solution as an ordered pair is (2, 4)
Answer:
t = 19.7
Step-by-step explanation:
24.8 = t + 5.1
-5.1 -5.1
----------------------
19.7 = t
Answer: 10
Step-by-step explanation: We can just count the number of vertices in the star and each vertex makes an angle. There are ten vertices in a star and thus ten angles.
Answer:
a) 7/4 b) 5 c) 2
Step-by-step explanation:
Logrithmic Rule for a and b
Let a, M, N be positive real numbers.
a)
logaM - logaN = loga(M/N)
log9(7) - log9(4) = log9 (7/4)
b)
logaM + logaN = logaMN
log2 (x) + log2(9) = log2(45)
x9=45
(x9)/9 = 45/9
x = 5
c)
Change of base formula.
logb(x)=logd(b)/logd(x)
x log6(5) = log6(25) divide each term by log6(5)
x log6(5) / log6(5) = log6(25) / log6(5) Cancel common factor log6(5)
x = log6(25) / log6(5)
x = log6(5^2) / log6(5)
Expand log6(5^2) by moving 2 outside the logarithm.
x = 2log6(5) / log6(5) cancel the like term log6(5)
x = 2
In the first grid more squares are shaded than in the 2nd grid.
