Answer:
30 years old
Step-by-step explanation:
Let the two ages be A and C.
Then C = (1/2)A, and A = C + 15.
Substitute C + 15 for A in C = (1/2)A:
C = (1/2)(C + 15), or 2C = C + 15.
Then C = 15, and A = C + 15 becomes A = 15 + 15, or A = 30.
Answer: The answer is 39 square feet.
Step-by-step explanation:
By saying square feet it's indicated that you mean the area of this irregular figure.
To do this you can break apart the shape into two pieces.
The first 11 x 3 rectangle then the 2 x 3 rectangle.
Next, you can find the area to be 33 square feet and 6 square feet. respectively, afterward, you add the areas together to find the area of the figure, which is 39 square feet.
Answer: 81
To get this answer, you do two things
1) Take half of the x coefficient 18 to get 9
2) Square the result from the previous step to get 9^2 = 9*9 = 81
This value is added on to get x^2+18x+81 which factors to (x+9)^2 confirming we have a perfect square trinomial
-4.50 is closer to 0 so no
Answer:
The value of x is 21.
Step-by-step explanation:
Since this is a right angle triangle, you can apply Pythagoras theorem, side² + side² = hypo² :
(x + 3)² + 10² = (x + 5)²
x² + 6x + 9 + 100 = x² + 10x + 25
x² + 6x + 109 - x² - 10x - 25 = 0
-4x + 84 = 0
-4x = -84
4x = 84
x = 84 ÷ 4
x = 21 units
