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3 years ago

What is an equation of the line through point (2,1) and perpendicular to the line (-4,1) and (3, -2)?

Mathematics

1 answer:

MissTica3 years ago

8 0

Answer:

Gradient of the line with points (-4,1)&(3,-2) is

(-2-1)÷(3-(-4))=-3/7

Then the equation of that^ line is

Y-1=-3/7(x-(-4))--->y=-3/7x-5/7

Since this^ line is perpendicular to the line you are looking for.the gradient of the line you are looking for is -1÷(-3/7)=7/3

The equation of the line you are looking for is

Y-1=7/3(x-2)--->y=7/3x-11/3

[Cause the line you are looking for passes through the point (2,1) and you found the gradient of this line]

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If a= 5^99 x 2^98 and b= 5^72 x 4^38 show ab has 172 digits when written as a ordinary number

Nonamiya [84]

Step-by-step explanation:

= (5⁹⁹ * 2⁹⁸) * (5⁷² * 4³⁸)

= 2⁹⁸ * 2⁷⁶ * 5⁹⁹ * 5⁷²

= 2¹⁷⁴ * 5¹⁷¹

= 2³ * (2¹⁷¹ * 5¹⁷¹).

The 2¹⁷¹ * 5¹⁷¹ will give 171 ending zeroes as 2 * 5 = 10.

And there is a 8 infront as 2³ = 8.

Hence altogether there are 171 + 1 = 172 digits.

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You add the prices altogether

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What’s the area of the triangle

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<em>The formula for area of a triangle is bh × 1/2.</em>

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3 years ago

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Please answer my question really quick name the equal parts of a whole

Shtirlitz [24]

Answer:

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3 years ago

Which expression is equivalent to log12 (1/2/8w)

dsp73

Answer:

$log_{12}(\frac{1}{2} )-(log_{12}(8 )+log_{12}(w))$ .

Step-by-step explanation:

The given logarithmic expression is $log_{12}(\frac{\frac{1}{2} }{8w})$ .

We need to apply the quotient rule of logarithm, which is given as follows;

$log_{a}(\frac{M}{N} )=log_{a}(M )-log_{a}(N )$ .

We apply this property to obtain,

$log_{12}(\frac{\frac{1}{2} }{8w})=log_{12}(\frac{1}{2} )-log_{12}(8w )$ .

We again apply the product rule which is given as;

$log_{a}({M\times N)=log_{a}(M )+log_{a}(N )$ .

We apply this rule to the last term to get,

$log_{12}(\frac{\frac{1}{2} }{8w})=log_{12}(\frac{1}{2} )-(log_{12}(8 )+log_{12}(w))$ .

Therefore, the correct answer is B.

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3 years ago

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