We have similar triangles so
12/x = (12+78)/(x+13)
We can skip some algebra by doing the ratio on the pieces. We'll show it works at the end.
12/x = 78/13
x = 12(13)/78 = 2
We check
12/2 = 6
(12+78)/(2+13) = 90/15 = 6, good
Answer: x=2
Answer:
The absolute value graph below does not flip.
Step-by-step explanation:
New graphs are made when transformed from their parents graphs. The parent graph for an absolute value graph is f(x) = |x|.
The equation used for a new graph transformed from the parent graph is in the form f(x) = a |k(x - d)| + c.
"a" shows vertical stretch (a>1) or vertical compression (0<a<1), and <u>flip across the x-axis if "a" is negative</u>.
"k" shows horizontal stretch (0<k<1) or horizontal compression (k>1), and <u>flip across the y-axis if "k" is negative</u>.
"d" shows horizontal shifts left (positive number) or right (negative number).
"c" shows vertical shifts up (positive) or down (negative).
The function f(x)=2|x-9|+3 has these transformations from the parent graph:
a = 2; Vertical stretch by a factor of 2
k = 1; No change
d = 9; Horizontal shift right 9 units
c = 3; Vertical shift up 3 units
Since neither "a" nor "k" was negative, there were no flips, <u>also known as reflections</u>.
Arc length = r θ =(3.9/2)*6.7 = 13.065 m.
Note: This arc angle is over 2 π , meaning that it will more than wrap around the circle.
Answer:
60
Step-by-step explanation:
3 x 20 = 60
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Answer:
a) [9] [15] [21] [27] [33] [39] [45]
b) [69] [68] [66] [63] [59] [54] [48]
Step-by-step explanation:
A sequência de números fornecida é
a) [9] [15] [21] [27] [33] [39] [45]
Cada próximo número é igual ao número anterior + 6
Portanto, o número após 21 será 21 + 6 = 27
E o número após 39 será 39 + 6 = 45
b) [69] [68] [66] [63] [59] [54] [48]
Cada próximo número é igual ao anterior - a diferença aumenta em 1
Por exemplo
Diferença entre 69 e 68 - 1
Diferença entre 68 e 66 - 2
Diferença entre 66 e 63 - 3
Diferença entre 63 e 59 - 4
Portanto, o número após 59 será 59 -5 = 54
E o número depois de 54 será 54 - 6 = 48