First, if you convert the improper fraction 9/2 to a mixed number, it will be equal to 9/2.
9/2 = 4 1/2
And if you multiply the top and bottom of a fraction with an integer number, you will have a fraction that is equal to fraction you began with.
I'll use 5 for this example.
9/2 * 5/5 = 45/10
Answer:
1. Substitute y = -3x +4 for y in the first equation
2. Combine like terms and isolate x
3. Substitute in x into the 2nd equation to get y
Step-by-step explanation:
1. Substitute y = -3x +4 for y in the first equation
2x- (-3x+4) = 6
2. Combine like terms
5x -4 = 6
5x -4 +4 = 6+4
5x=10 Divide by 5 to isolate x
5x/5 =10/5
x=2
3. Substitute in x into the 2nd equation to get y
y = -3x +4
y = -3(2) +4
y = -6+4
y=-2
(2,-2)
1. 8/9 ÷ 4/9 is done by inverting the divisor (4/9) and then multiplying:
(8/9)(9/4) = 8/4 = 2 (answer)
2. 1/3 ÷ 6 is done similarly: (1/3)(1/6) = 1/18 (answer)
3. 4 ÷ 1/5 = 4 * 5 = 20 (answer)
4. 7 1/2 ÷ 1/4 = (15/2)(4/1) = 30 (answer)
Answer:
58.1 degrees
Step-by-step explanation:
Given the following
JK = 9.4miles (towards south) negative y axis
If the move 15.1 miles towards east (that will be towards the positive x axis)
Using the SOH CAH TOA identity
opposite= 15.1 miles(side facing m<J)
adjacent= JK = 9.4miles
tan theta = opposite/adjacent
tan m<J = 15.1/9.4
tan m<J = 1.6063
m<J = arctan (1.6063)
m<J = 58.09 degrees
Hence the measure of m<J to the nearest tenth is 58.1 degrees
