Answer:
x = -12
Step-by-step explanation:
Set logs up on both sides-
log 16^x = log 64^x+4
The variable goes behind because of the exponent log <em>property</em> (exponents are permitted to go behind the log to multiply)-
x * log 16 = x + 4 * log 64
Divide both logs out-
log 64/log 16 = 1.5
Simplify-
x = x+4(1.5)
1.5x + 6 = x
Remove 1.5-
1 - 1.5 = -.5x
Simplify-
-.5x = 6
Divide both sides-
6/-.5x = -12
Hence, the answer would be -12
Answer: y=3/4x+3/2
Step-by-step explanation:
Let's solve for y.
3x−4y+6=0
Step 1: Add -3x to both sides.
3x−4y+6+−3x=0+−3x
−4y+6=−3x
Step 2: Add -6 to both sides.
−4y+6+−6=−3x+−6
−4y=−3x−6
Step 3: Divide both sides by -4.
−4y/−4= −3x−6/−4
y=3/4x+3/2
Answer:
the number of miles that you would drive to go the yellowstone is 814 miles
Step-by-step explanation:
The computation of the number of miles that you would drive to go the yellowstone is shown below:
= First leg of the journey from portland + more drives to yellow stone
= 426 miles + 388 miles
= 814 miles
Hence, the number of miles that you would drive to go the yellowstone is 814 miles
Answer:
See explanartions below
Step-by-step explanation:
Given the coordinates A(-6,3) B(0,5) C(2,-1)
We first need to get the slope of AB, BC and AC
For AB;
A(-6,3) B(0,5)
Mab = 5-3/0-(-6)
Mab = 2/6
Mab = 1/3
For BC;
B(0,5) C(2,-1)
Mbc = -1-5/2-0
Mbc = -6/2
Mc = -3
For AC:
A(-6,3) C(2,-1)
Mac = -1-3/2-(-6)
MAc = -4/8
Mac = -1/2
Taking the product of Mab and Mbc
Mab * Mbc = 1/3 + -3
Mab * Mbc = -1
<em>Since the product of Mab and Mbc is -1, hence AB abd BC are perpendicular showing that one of the angle of triangle ABC is 90 degrees</em>
Your answer is c, because 69,000 is less than 96,000. I hope this helped! Could I possibly get brainliest?