To solve any equation, we have to get the variables and the constants (numbers) on opposite sides of the equals sign.
First, we have to combine the like terms on the left side of the equation, resulting in
7a - 9 = 30
Then, because we want the constants on the right side of the equation, we have to +9 to cancel out the -9 on the left side.
7a=39
Next, the a has a coefficient of 7, which it is multiplied by. To undo multiplication, you have to divide. Therefore, we should divide both sides by 7.
a= 5 4/7 or 5.57142857143
In improper fraction form, a = 39/7, as this fraction cannot be simplified any farther.
9514 1404 393
Answer:
(c) g(x) = 1/3·f(x)
Step-by-step explanation:
You can pick a point, such as the vertex at (2, -3) on f(x) and see which of the transformations gives you a point on the graph of g(x).
You will find that g(x) represents a vertical scaling by a factor of 1/3, so ...
g(x) = 1/3·f(x)
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The point (2, -3) on f(x) corresponds to the point (2, -1) on g(x).
Answer:
x= 60.4
Step-by-step explanation:
y = 60.4
z= 29.6
x= 60.4
By complementary angle rule
Answer:
65.8 ft
Step-by-step explanation:
The number of strings required to tie each vertex to the other three will be ...
(4)(3)/2 = 6
Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.
d² = 12² +7² = 144 +49 = 193
d = √193 ≈ 13.892
Then the total length of all strings is ...
L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet
The artist will need 65.8 feet of string.
