(a) 95 = (x+7)*(x-7)
(b) 95 = (x+7)*(x-7)
Expand the brackets:
95 = x² -7x + 7x -49 = x² - 49
Subtract x² from both sides:
95-x² = -49
Subtract 95 from both sides:
-x²=-49-95
-x²= -144
Divide both sides by -1 to get rid of the negative numbers:
-x²/-1=-144/-1
x²=144
Take the square root of 144:
x = ± squareroot of 144
x = 12 or -12
x = 12 because you cannot have a negative age so Trina is 12 years old.
Since we have two ordered pairs, we can find the slope by plugging them into (y2-y1)/(x2-x1) which translates to (3-(-6))/(-4-(-1))=9/-3=-3
Since the slope is -3, we have the equation y=-3x+b, but we don't know b. So we plug in values for x and y and solve for b.
-6=-3(-1)+b
-6=3+b
-9=b
So the y-intercept is -9 and the full equation is y=-3x-9 which means A is the only correct answer.
Hope this helped!
Answer: 2x+3
Step-by-step explanation:
9x+18=6y-3x Our goal is to isolate y.
Let's add 3x to both sides of the equation to cancel out that -3x on the right side.
12x+18=6y Because all of these integers are divisible by the gcf of 6, we can divide both sides of the equation by 6.
2x+3=y
Area of a Triangle = 1/2 * b * h
A = 1/2 * 4 * 5
A = 1/2 * 20
A = 10 units
In short, Your Answer would be Option C
Hope this helps!
