This looks like scalar matrix multiplication. The idea here is to multiply the scalar 3 by each item inside the matrix.
Doing so leads to the answer [3 -12 15 -21]
Side note: I'm assuming the matrix given to you has 1 row and 4 columns.
Wages wages wages wages wages wages wages wages wages wages wages wages wages
Answer:
x=3+2×sqrt(3)
x=3-2×sqrt(3)
Step-by-step explanation:
2(x-3)²-24=0
2(x-3)²=24
(x-3)²=12
Case 1:
x-3=sqrt(12)=2×sqrt(3)
x=3+2×sqrt(3)
Case 2:
x-3=-sqrt(12)=-2×sqrt(3)
x=3-2×sqrt(3)
Since the measures of the two angles are in the ratio 8:1, this means the bigger angle's is 8x and the smaller angle is x. Since they are complementary, they add to 90°, so you create the equation 8x+x=90°. This can be simplified to 9x=90°. Then, you divide 90 by 9 to get 10. This means x=10. Next, you replace x with 10 to find the measure of the bigger angle. 8x10=80, so the larger angle is 80°.
