Answer:
3x+5
Step-by-step explanation:
Let number =X
So
Five more than 3 times a number
3x+5
Answer:
Below in bold.
Step-by-step explanation:
c) 3 x (9^2)^3/4 x ((81^3)^5/6
= 3 x 81^3/4 x 81^15/6
= 3 x 81^(3/4 + 15/6)
= 3 x 81^13/4
= 3 x 3^13
= 3^14
= 4,782,969.
f) (5x^-1y^2)^-2 / (25 x^2 y - 1)^2
= 5^-2 x^2y^-4 / 625 x^4y^-2
= 5^-2 x^-2 y^-2 / 5^4
= 5^-6 x^-2y^-2
= 0.000064x^-2y^-2.
Answer:
Step-by-step explanation:
Let the ends of the given segment are A and B.
Coordinates of A → (8, 6)
Coordinates of B → (12, 12)
If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,
(x, y) → (kx, ky)
If k = 
(x, y) → 
By this rule coordinates of the image points of A and B will be,
A(8, 6) → 
→ A'(5.3, 4)
B(12, 12) → 
→ B'(8, 8)
Now we can get the image of segment AB after dilation by a scale factor of
.
Answer:
The surface area of the prism is 108 square in.
Answer:
Step-by-step explanation:
-5f=-3(8-f)
Opening bracket
-5f = - 24 + 3f
Collecting like terms
-5f - 3f = -24
-8f = -24
Dividing by -8
f = -24/-8
f = 3