Find the slope using the formula [ y2-y1/x2-x1 ].
-9-(-12)/-15-(-24)
3/9
1/3
Find the y-intercept using the formula [ y = mx + b ].
y = 1/3x + b
-12 = 1/3(-24) + b
-12 = -8 + b
-4 = b
Use (18, 2) to see if the line passes through it
y = 1/3x - 4
2 = 1/3(18) - 4
2 = 6 - 4
2 = 2 TRUE
Thus, the line does pass through (18, 2).
Best of Luck!
Step-by-step explanation:
We can prove the statement is false by proof of contradiction:
We know that cos0° = 1 and cos90° = 0.
Let A = 0° and B = 90°.
Left-Hand Side:
cos(A + B) = cos(0° + 90°) = cos90° = 0.
Right-Hand Side:
cos(A) + cos(B) = cos(0°) + cos(90°)
= 1 + 0 = 1.
Since LHS =/= RHS, by proof of contradiction,
the statement is false.
Answer:
3cm and 7cm
Step-by-step explanation:
The length is 7cm.
The width is 3cm.
Area = Length × Width = 7cm × 3cm = 21cm²
For the right triangle to be given in name of three letters such as this, the right angle is most likely to be in the center, in this case letter K. To determine the common trigonometric properties of a certain angle we may use of the mnemonics SOH - CAH - TOA.
sin angle = opposite side / hypotenuse
cosine angle = adjacent side / hypotenuse
tangent angle = opposite side / adjacent side
If we let small letter j, k, and l be the sides opposite to angles J, K, and L, respectively. Then, the cos (L) will be,
cos (L) = j/k
Answer:
dont even stress i gotchu
It's 50*, 46* and 84*.
Ratio of the second problem is 1:1 they both have a slope of 1 (which is probably why all three points are on the same line)
Step-by-step explanation:
Since we know that the straight/flat angle would equal 180* we will set the total of all those angles to 180*
We will add them up to find x. Once we find x we can find the value of each angle.
6x-10 + 4x + 6 + 7x + 14 = 180
We will combine like terms and solve for x.
17x+10 = 180
17x = 170
x = 10.
Since we have x = 10, we will plug it into x of each angle to get the value of each angle.
6(10) -10 = 60-10 which equals 50*
4(10) + 6 = 40+6 which equals 46*
7(10) + 14 = 70 + 14 which equals 84*.