Answer: all 3 angle measures have to equal 180 degrees. So if two of them are more than 90 degrees, the sum of the angles would be greater than 180.
Step-by-step explanation:
First use the slope formula to find the slope of -4. y2-y1/x2-x1 which looks like this: 9-(-7)/-1-3 = 16/-4 = -4. Now use that slope and one of the points to sub into the y = mx+b to solve for b and then use that b and your slope of -4 to rewrite the equation. I chose (-1,9) as my point to get 9=-4(-1)+b. Solve for b to get b = 5. Therefore, the equation of the line is y = -4x + 5
Answer:
A. Nonnegative
Step-by-step explanation:
By definition, the absolute value of any number must be positive (i.e non-negative).Hence A is the answer.
Answer:
x=−3
Step-by-step explanation:
2(6x+1)−4(x−5)=−2
Step 1: Simplify both sides of the equation.
2(6x+1)−4(x−5)=−2
(2)(6x)+(2)(1)+(−4)(x)+(−4)(−5)=−2(Distribute)
12x+2+−4x+20=−2
(12x+−4x)+(2+20)=−2(Combine Like Terms)
8x+22=−2
8x+22=−2
Step 2: Subtract 22 from both sides.
8x+22−22=−2−22
8x=−24
Step 3: Divide both sides by 8.
8x/8=−24/8
Answer:
Distance between Archimedes and the rock = 7.51 m ≅
Step-by-step explanation:
The sunlight makes an angle of depression of 43 degrees
Hence angle between the rock and the sunlight rays is = 90-43=47 degrees
Distance between Archimedes and the rock = Tan 47 = X/7
X = 7 tan 47 = 7.506580970172 = 7.51m ≅