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Effectus [21]
3 years ago
8

Which point slope equation represents a line that passes through (3, -2) with a slope of - 4/5

Mathematics
1 answer:
katen-ka-za [31]3 years ago
3 0
We know that
the equation of a line in the point slope form is
y-y1=m*(x-x1)

if m=-4/5  and the point is (3,-2)
the equation is
y-y1=m*(x-x1)------> y-(-2)=(-4/5)*(x-3)----> y+2=(-4/5)*(x-3)

the answer is
<span> y + 2 = -4/5 (x - 3)</span>
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Circles M and K are congruent, QR is congrent to LN. Find the length of QR
Novosadov [1.4K]

Given QR is congrent to LN and QR = 4x + 2 and LN = x + 7.

So, QR = LN

Hence, we can set up an equation as following:

4x + 2 = x + 7

4x + 2 - x = x + 7 - x Subtract x from each sides.

3x + 2 = 7 By simplifying.

3x + 2 - 2 = 7 - 2 Subtract 2 from each sides.

3x = 5

\frac{3x}{3} =\frac{5}{3} Divide each sides by 3 to isolate x.

So, x=\frac{5}{3}

Next step is to plug in x=\frac{5}{3} in QR = 4x+2 to get length of QR.

So, QR = 4(\frac{5}{3})+2

=(\frac{20}{3})+\frac{2}{1} Since 2 can be written as 2/1.

By multiplying the second fraction by the common denominator 3.

=(\frac{20}{3})+\frac{2*3}{1*3}

=(\frac{20}{3})+\frac{6}{3} By simplifying the second fraction.

=(\frac{26}{3})

So, QR=\frac{26}{3}

5 0
3 years ago
A van and a bicycle move towards each other. The speed of the van is 80 km per hour, and the speed of the bike is 20 km per hour
otez555 [7]

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.

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Bike > ________300km_________< Van

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So now the distance between them is 200km.

Now another hour passes. The distance between them was 200km. But the bike moved 20km and the van moved 80km, since its been one hour. Which means the distance between them is less.

200km-(20km+80km) = 100km

So now the distance between them is 100km

Now another hour passes. The distance between them was 100km. But the bike moved 20km and the van moved 80km, since its been one hour. Which means the distance between them is less.

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So now the distance between them is 0km, which means they have met. If we count, it took them 3 hours.

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Step 1)

Add both speeds. 20km+80km=100km

Step 2)

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So do 300km/100km = 3hours.

______

The solution is: .

————

Hope this helped!

4 0
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Answer:

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6 0
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Step-by-step explanation:

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