This means it’s 6(3)^2. The PEMDAS process will help in this situation. Since exponents (E) come before multiplication (M), you would raise 3 to the 2nd power first. 3^2 is the same as 3 times 3, which equals 9. Now, you can multiple 6 by 9, which would result with 54. 54 is your answer!
Answer: The number is 27
The system of equations is: 7x - 2y = 0
-9x + 9y = 45
<u>Step-by-step explanation:</u>
Let x represent the number in the tens place and y represent the number in the ones place. <u>x</u> <u>y</u>
Then 10x + y = 3(x + y)
When the digits are reversed: 10y + x = 10x + y + 45
Simplify each of the above equations and then create a system of equations:
10x + y = 3x + 3y → 7x - 2y = 0
10y + x = 10x + y + 45 → -9x + 9y = 45
9( 7x - 2y = 0) → 63x - 18y = 0
2(-9x + 9y = 45) → <u> -18x + 18y </u>=<u> 90</u>
45x = 90
x = 2
Input x = 2 into either equation to solve for y:
7x - 2y = 0
7(2) - 2y = 0
14 = 2y
7 = y
Answer:
231cm²
Step-by-step explanation:
find the area of the rectangle. 12 x 11=132
find the area of the triangle. 9 x 11=99
add the two areas together. 99 + 132=231
Answer: THe correct option is (C) 15.
Step-by-step explanation: We are given to find the length of SR in the right-angled triangle SRQ as shown in the figure.
Since RT is perpendicular to the hypotenuse SQ, so triangle RTQ and SRT are also right-angled triangles at angle RTQ and RTS respectively.
Also, RQ = 20 units and TQ = 16 units.
Using Pythagoras theorem in triangle RTQ, we have

Now, since RT is perpendicular to the hypotenuse of ΔRST, so we get

Again, using Pythagoras theorem in right-angled triangle RST, we get

Thus, the length of SR is 15 units.
Option (C) is CORRECT.
91/25, 3.92, 3.928, 2 13/20
im pretty sure this is correct AND IM RLY SRY IF IT ISN’T