Answer:
60
Step-by-step explanation:
Let the number be x
3x/2 + 7 = 97(the largest two digit prime number)
3x/2 =90
X=60
12 cm^2, because I added the 2 bases (3 cm and 5 cm) and then multiplied it by the height (3 cm). Finally, I divided it by 2
Step by step
5x+2y=9
Move variable to the right side and change
It’s side.
5x=9-2y
Divide both sides of the equation by 5
X = 9/5 - 2/5y
Final solution
Answer: x = 9/5 - 2/5y
Basically, you have to find the line through (-3, 1) that is perpendicular to the line 6x + y = 9 and then find where the two lines intersect. Dropping a perpendicular from the point to the line is the shortest distance from the point to the line.
6x + y = 9
y = -6x + 9
slope is -6
perpendicular would have slope 1/6
(y - 1) = (1/6) (x + 3)
y - 1 = (1/6) x + (1/2)
multiplying both sides by 6
6y - 6 = x + 3
x - 6y = -9
Where do these two lines intersect?
From above we know given equation is y = -6x + 9
Plugging into other equation
x - 6(-6x + 9) = -9
x + 36x - 54 = -9
37 x = 45
x = 45/37
y = -6(45/37) + 9
y = -270/37 + (333/37)
y = 63/37
point is (45/37, 63/37)
Answer:
The answer is B
Step-by-step explanation:
We have to substitute values for this.
f(1) = 1/2(2)^1
f(1) = 1
Now we can eliminate D and A
f(3) = 1/2(2)^3
f(3) = 4
f(6) = 1/2(2)^6
f(6) = 32
Answer is B
