Answer:
h = 7 + 6x
Step-by-step explanation:
Since we are trying to find the height of the tree, we put h on the left side of the equation. Since the tree is 7ft tall at the moment, we write 7ft on the right side of the equation. Knowing that the tree grows 6 inches each year (x) we write 6x on the right side of the equation.
1/2 is simplest form.
Both 13 and 26 are factors of 13.
13 times 1 is 13 and 13 times 2 is 26.
So 13/26 = 1/2.
My calculations told me that Elena won the race.
Step-by-step explanation:
Please give me atleast 3 stars if I am right.
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.Dilation is define by the rule
(x,y)-- (kx, ky) where
k represents the scale factor.
In this exercise is given that a quadrilateral with vertices
K'(2,1),
L'(-2,3),
M'(-3,-4) and
N'(3,-5) was dilated by a scale factor of

, and it is asked to find the vertices of the pre-image of the quadrilateral.
Image Pre-ImageK'(2,1) ---- (2×2,1×2) ---- K(4,2)
L'(-2,3) --- (-2×2,3×2) --- L(-4,6)
M'(-3,-4) -- (-3
×2,-4×2) -- M(-6,-8)
N'(3,-5) --- (3×2,-5×2) --- N(6,-10)
The coordinates which represent the vertices of the quadrilateral's pre-image are K(4,2), L(-4,6), M(-6,-8), and N(6,-10) or in other words letter C from the given choices.
Answer:
-512
Step-by-step explanation:
Evaluate y^5/(x^3/2^2) where x = 2 and y = -4:
(y^5)/(2^(-2) x^3) = (-4)^5/2^(-2)×1/2^3
2^3 = 2×2^2:
(-4)^5/2^(-2) 1/(2×2^2)
2^2 = 4:
(-4)^5/((2×4)/2^2)
2×4 = 8:
(-4)^5/(8/2^2)
2^(-2) = 1/4:
((-4)^5/8)/(1/4)
(-4)^5 = (-1)^5×4^5 = -4^5:
((-4^5)/8)/(1/4)
4^5 = 4×4^4 = 4 (4^2)^2:
((-4 (4^2)^2)/8)/(1/4)
4^2 = 16:
((-4×16^2)/8)/(1/4)
| 1 | 6
× | 1 | 6
| 9 | 6
1 | 6 | 0
2 | 5 | 6:
((-4×256)/8)/(1/4)
4×256 = 1024:
((-1024)/8)/(1/4)
Multiply the numerator by the reciprocal of the denominator, ((-1024)/8)/(1/4) = (-1024)/8×4:
(-1024×4)/8
(-1024)/8 = (8 (-128))/8 = -128:
-128×4
-128×4 = -512:
Answer: -512