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Aleksandr-060686 [28]
3 years ago
14

5.4 x 10^-8 in standard notation

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
8 0
.000000054 is the answer
amm18123 years ago
3 0
I hope this helps you

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If you apply the changes below to the absolute value parent function, f(x) = |x|, what is the equation of the new function?Shift
Serjik [45]

Answer: C

<u>Step-by-step explanation:</u>

The general form of the equation is: g(x) = a|x - h| + k  ;

  • "a" represents the vertical stretch <em>(or shrink)</em>
  • "h" represents the x-coordinate of the vertex (left and right)
  • "k" represents the y-coordinate of the vertex (up and down)

4 units left means h = 4

2 units up means k = 2

--> g(x) = |x - 4| + 2

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3 years ago
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Show that the triangles are similar by comparing the ratios of the corresponding sides. Simplify your answer completely in order
kirill [66]

Answer/Step-by-step explanation:

AC = 1.2

AB = 4

BC = 2.6

DF = 3

DE = 10

EF = 6.5

Thus:

\frac{DE}{AB} = \frac{10}{4} = \frac{5}{2}

\frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2}

\frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2}

The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.

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2 years ago
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Helen [10]

Answer:

y-intercept is (0, -4)

x-intercept is (-5, 0)

Step-by-step explanation:

Remember the x-intercept and the y-intercept are the points on the graph where the line crosses the x-axis and the y-axis respectively.

We can find the x intercept and the y intercept a couple of ways. One way is to graph the line, which I will do later. The other way is to do a little math.

The equation of a line in y-intercept form is

y = mx + b

where b = the y-intercept

In our equation above and solving for y we get the y-intercept is -4

4x + 5y =  - 20 \\ 5y =  - 4x - 20 \\ y =  -  \frac{4}{5} x - 4

Doing more algebra and solving for x we get the x intercept is negative 5.

y =  -  \frac{4}{5}  - 4 \\ y  + 4 =  -  \frac{4}{5} x \\ x =  -  \frac{5}{4} y -  \frac{20}{4 }  \\ x =  -  \frac{5}{4} y - 5

6 0
2 years ago
Wesley lives in a apartment and would like to have a vegetable garden. His city offers garden plots,but he has to pay for the fe
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Plot B
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Most fencing Plot A
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It’s one or two I can’t figure out which one though
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