Answer:
A. y=-1/3x+10
Step-by-step explanation:
Perpendicular gradients(slopes) are negative reciprocals so
m=-1/3 then use the point (6,8) to find the equation of the line
y=mx+b
8=(-1/3)(6)+b
8=-2+b
b=10
y=-1/3x+10
I think 1/3 i dont know for sure tho
Answer:
32.7°
Step-by-step explanation:
Use the formula for law of cosines, for this question we need so solve for angle B, so use...
b² = a² + c² - 2(a)(c)Cos B
We are given a, b, and c, so plug them in...
55² = 90² + 50² - 2(90)(50)Cos B
Now simplify...
3,025 = 8100 + 2500 - (9000)Cos B
-7,575 = -(9000)Cos B (subtract 8100 and 2500 from both sides)
0.841666667 = Cos B (divide both sides by -9000)
Cos^(-1) 0.841666667 = B (use cosine inverse function on calculator)
32.68346376° = B
32.7° = B
Step 1 Given. The problem is telling us to start with the equation 4<span>·0=0
Step 2 Substitute. Any number plus its opposite is zero. Since the opposite of 10 is -10, 10+(-10)= 0: 4(10+-10)=0
Step 3 Use the distributive property. In other words multiply 4 by 10 and 4 by -10: 4</span>·10+4·-10=0
Step 4 Multiply. perform the first multiplication of step 3: 4·10=40, so: 40+4·-10=0
Step 5 Subtract 40 from both sides. 40-40+4·-10=0-40; simplify the left side: 0+4·-10=0-40
4·-10=0-40
Step 5 Simplify to solve for 4·-10. Simplify the right side: 4·-10=-40
We can conclude that you should fill your table as follows:
Step 1 Given. 4·0=0
Step 2 Substitute. Any number plus its opposite is zero. 4(10+-10)=0
Step 3 Use the distributive property. 4·10+4·-10=0
Step 4 Multiply. 40+4·-10=0
Step 5 Subtract 40 from both sides. 4·-10=0-40
Step 5 Simplify to solve for 4·-10. 4·-10=-40