2 years ago

Which is an equation of the line that passes through the point

Mathematics

1 answer:

Allisa [31]2 years ago

4 0

Answer:

y = $\frac{1}{2} x$ +3

Step-by-step explanation:

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Fred Salmon purchased six $1,000 bonds at 92. The bonds pay 6.5%, what is the cost of the bonds

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The cost of the bond
6×1,000×0.92=5,520

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3 years ago

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A recipe for 12 corn muffins calls for 1 cup of flour. The number of muffins you can make varies directly with the amount of flo

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the length of a rectangle is 6.7 cm more than 2 times the width. If the perimeter of the rectangle is 57.2 cm, what are its dime

ss7ja [257]

57.2-6.7-6.7=43.8
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2 years ago

A 25-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away from the wall at a constant ra

dsp73

Answer: The ladder is sliding down the wall at a rate of $5\dfrac{17}{50}\ ft/sec$

Step-by-step explanation:

Since we have given that

Length of ladder = 25 foot

Distance from the wall to the bottom of ladder = 15 feet

Let base be 'x'.

Let length of wall be 'y'.

So, by pythagorus theorem, we get that

$x^2+y^2=25^2\\\\15^2+y^2+625\\\\225+y^2=625\\\\y^2=625-225\\\\y^2=400\\\\y=\sqrt{400}\\\\y=20\ feet$

$\dfrac{dy}{dx}=-4\ ft/sec$

Now, the equation would be

$x^2+y^2=625\\$

Differentiating w.r.t x, we get that

$2x\dfrac{dx}{dt}+2y.\dfrac{dy}{dt}=0\\\\2\times 15\dfrac{dx}{dt}+2\times 20\times -4=0\\\\30\dfrac{dx}{dt}-160=0\\\\\dfrac{dx}{dt}=\dfrac{160}{30}=5.34\ ft/sec$

Hence, the ladder is sliding down the wall at a rate of $5\dfrac{17}{50}\ ft/sec$

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3 years ago

Can someone help me with this task please?

Snowcat [4.5K]

Answer: 115,340

Step-by-step explanation: that's the answer just sperate the numbers

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2 years ago