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Nonamiya [84]
3 years ago
7

Point G is on line segment FH. Given FH = 4x, GH = x, and FG = 2x + 10,

Mathematics
2 answers:
sergeinik [125]3 years ago
8 0

Answer:

FG=11

Step-by-step explanation:

kondaur [170]3 years ago
4 0

Answer:

30 units

Step-by-step explanation:

If point G is on line segment FH, then point G lies between points F and H.

Segment Addition Postulate states that given 2 points F and H, a third point G lies on the line segment FH if and only if the distances between the points satisfy the equation FG + GH = FH.

By segment addition postulate,

FG+GH=FH

Given

FH = 4x,

GH = x,

FG = 2x + 10,

then

4x=x+2x+10\\ \\4x=3x+10\\ \\4x-3x=10\\ \\x=10\\ \\FG=2x+10=2\cdot 10+10=30\ units

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Q7Which statement is incorrect for the graph of thefunction y = -5 cosGcos( 3 (x – 3)) +62The period is 4.The amplitude is 3.The
guajiro [1.7K]

The given function is,

y=-5\cos (\frac{\pi}{2}(x-3))+6

The graph can be drawn as,

The period will be distance between two consequetive maximas,

\text{Period}=1-(-3)=4

Thus, period is correct.

The amplitude can be determined as,

\begin{gathered} Amplitude=\frac{\max -\min }{2} \\ =\frac{11-1}{2} \\ =5 \end{gathered}

Thus, amplitue is incorrect.

The range is,

y\in\lbrack1,11\rbrack

Thus, the range is correct.

The midline is,

\begin{gathered} \text{midline}=\frac{\max +\min }{2} \\ =\frac{1+11}{2} \\ =6 \end{gathered}

Thus, the midline is correct.

Thus, option (b) is the solution.

5 0
1 year ago
How many solutions would there be for the following system of equations?
Mila [183]
Solution A1 is correct hope it helpsss
4 0
3 years ago
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Substitution for {2x-3y=11 and -x + 2y = -6
Svetradugi [14.3K]

Step-by-step explanation:

-x+2y=-6

x-2y=6

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7 0
3 years ago
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Answer:

<em>The table shows an exponential function</em>

Step-by-step explanation:

<u>Linear vs Exponential Functions</u>

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y=mx+b

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If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

An exponential function is written as:

y=y_o.r^x

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If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

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Calculate the slope for (1,2) and (2,1):

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The radical of index 1 is simply equal to its argument:

\displaystyle r=\frac{1}{2}

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4 0
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sergiy2304 [10]

Answer:

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Step-by-step explanation:

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2 years ago
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