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pav-90 [236]
3 years ago
12

Hi!!

Mathematics
1 answer:
VashaNatasha [74]3 years ago
7 0

Answer:

24 + 5b -b²

Step-by-step explanation:

i am not sure what is meant by propert/ identity but

8 x 3 = 24

8 x b = 8b

(-b) x 3 = (-3b)

(-b) x b = (-b)²

24 + 8b + (-3b) + (-b)²

24 + 5b - b²

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Equation of a line, in general form, that is perpendicular to 2x-3y + 7 = 0 and passes through the point (-3/4, 1)
TEA [102]

Answer:

  12x +8y +1 = 0

Step-by-step explanation:

You can write the equation by swapping the x- and y-coefficients and negating one of them. Then compute the constant that makes the line go through the given point. You can do that like this:

  3(x-(-3/4)) +2(y -1) = 0

  3x +9/4 +2y -2 = 0 . . . . eliminate parentheses

  3x +2y +1/4 = 0 . . . . . . . simplify

To eliminate the fraction, multiply by 4:

  12x +8y +1 = 0

_____

<em>Comment on the equation</em>

The line ax+by=0 passes through the origin. Replacing x and y with x-h and y-k, respectively, makes the line pass through the point (h, k). That's what we did above to make the line pass through the given point.

The business of swapping coefficients and negating one causes the slope of the new line to be the negative reciprocal of the slope of the original line. That is what makes the new line perpendicular to the original.

4 0
3 years ago
PLEASW HELP DUE AT 9:20​
Bess [88]

Answer:

1 x 10^10

2 x 10^-10

7 x 10^-11

8 x 10^-11

Step-by-step explanation:

7 0
3 years ago
HELP what's the distance for this question? ​
jeyben [28]

Answer:

Distance = 38.57ft

Step-by-step explanation:

Given

Base = 60

\theta = 50

Required

The distance between the top and John

The distance is calculated using:

sin\alpha =  \frac{Distance}{Base}

Where

\alpha = 90 - \theta --- the angle between the diagonal line and the vertical line

\alpha = 90 - 50

\alpha = 40

So, we have:

Sin(40) = \frac{Distance}{60}

Distance = 60 * sin(40)

Distance = 60 * 0.6428

Distance = 38.57ft

Distance = 986 * tan(38)

Distance = 986 * 0.7812

Distance = 770ft<em> --- approximated</em>

5 0
3 years ago
Estimate by rounding to the nearest ten.​ Then, find the sum.441+345=?
cricket20 [7]
441 to the nearest ten is 440
345 to the nearest ten is 350

The sum is;

440 + 350 = 790
3 0
3 years ago
Solve for x using
irga5000 [103]

Answer:

x = 42

Step-by-step explanation:

Cross multiplying is done as follows:

<em>the </em><em>denominator </em><em>of the second </em><em>fraction </em><em>is </em><em>multiplied </em><em>with the </em><em>numerator </em><em>of the first </em><em>equation</em> and <u>denominator of the first fraction is multiplied with the numerator of the second equation</u>

5(3x+6) = 4(4x-3) multiply inside the parenthesis

15x + 30 = 16x - 12 transfer like terms to same side of the equation

30 + 12 = 16x - 15x

42 = x

5 0
2 years ago
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