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GarryVolchara [31]
3 years ago
14

Can someone please help me./ solve.

Mathematics
2 answers:
Zina [86]3 years ago
7 0

Answer:f=99

Step-by-step explanation

solve for f by simplifying both sides of the equation, then isolating the variable.

Pavel [41]3 years ago
3 0

Answer:

F is 99

Step-by-step explanation:

99 ÷ 77 = 1 2/7

1 2/7 - 4/7 = 5/7

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I would think the answer is -16 

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What does this equal to in standard form? (A+bi)
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3i(-7+11i)=-28i+33i^2=\boxed{-33-28i}

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Train a is traveling at 30 mph faster than train b. If train a travels 350 miles in the same amount of time that train b travels
GalinKa [24]

Answer:

20 mph

Step-by-step explanation:

Let speed of Train a = Va mph

Let speed of Train b = Vb mph

Va = Vb + 30

Let time taken for Train a = Ta

Let time taken for Train b = Tb

time taken = distance travelled/speed

Ta = 350/Va = 350/(Vb+30)

Tb = 140/Vb

But they both travel in the same amount of time.

So, Ta = Tb

\frac{350}{v_{b} + 30}=\frac{140}{v_{b}}

Cross multiply

350v_{b} = 140(v_{b} + 30)\\\\350v_{b} = 140v_{b} + 4200\\\\350v_{b} -140v_{b} = 4200\\\\210v_{b} = 4200

Divide both sides by 210

\frac{210v_{b} }{210} \frac{4200}{210} \\\\v_{b} = 20 mph

4 0
3 years ago
Which table represents a linear function?
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Which equation represents a line which is perpendicular to the line y = -x + 8?
natima [27]

Two lines are perpendicular between each other if their slopes fulfills the following property

m_1m_2=-1

where m1 and m2 represents the slopes of line 1 an 2, respectively.

To find the slope of a line we can write it in the form slope-intercept form

y=mx+b

Our original line is

y=-\frac{1}{8}x+8

Then its slope is

m_1=-\frac{1}{8}

Now we have to find the slope of the second line. Using the first property,

\begin{gathered} m_1m_2=-1_{} \\ -\frac{1}{8}m_2=-1_{} \\ m_2=(-1)(-8) \\ m_2=8 \end{gathered}

Then the second line has to have a slope of 8.

The options given to us are:

\begin{gathered} x+8y=8 \\ x-8y=-56 \\ 8x+y=5 \\ y-8x=4 \end{gathered}

Then we have to determine which of these options have a slope of 8. To do that we write them in the slope-intercept form:

\begin{gathered} x+8y=8\rightarrow y=-\frac{1}{8}x+1 \\ x-8y=-56\rightarrow y=\frac{1}{8}x+7 \\ 8x+y=5\rightarrow y=-8x+5 \\ y-8x=4\rightarrow y=8x+4 \end{gathered}

Once we have the options in the right form, we note that the only one of them that has a slope of 8 is the last one.

Then the line perpendicular to the original one is

y-8x=4

8 0
1 year ago
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