What is 12.87+3.905? Show how to solve please.

Polynomials Multiply (2x - 3)(7x – 4)

choli [55]

Answer:

(2x-3)(7x-4)

2x(7x-4)-3(7x-4)

14x²-8x+21+12

14x²-8x+33

7 0

2 years ago

Read 2 more answers

1) find the equation of the line parallel to

In-s [12.5K]

Answer:

1) The equation of the line parallel to x-5y=6 and through (4,-2) is 5y = x -14

2) The equation of the line perpendicular to y= -2/5x + 3 and through (2,-1) is 2y = 5x -12

Solution:

1) find the equation of the line parallel to x-5y=6 and through (4,-2).

Given, line equation is x – 5y = 6

We have to find the line equation that is parallel to given line and passing through the point (4, -2)

Now, let us find slope of the given line.

$\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-5}=\frac{1}{5}$

Now, we know that, slope of parallel lines are equal.

So, slope of required line is 1/5 and it passes through (4, -2)

Now, using point slope form

$y-y_{1}=m\left(x-x_{1}\right) \text { where } m \text { is slope and }\left(x_{1}, y_{1}\right) \text { is point on line. }$

$y-(-2)=\frac{1}{5}(x-4) \rightarrow 5(y+2)=x-4 \rightarrow 5 y+10=x-4 \rightarrow x-5 y=14$

Hence, the line equation is 5y = x -14

2) find the equation of the line perpendicular to y= -2/5x + 3 and through (2,-1)

$\text { Given, line equation is } y=-\frac{2}{5} x+3 \rightarrow 5 y=-2 x+15 \rightarrow 2 x+5 y=15$

We have to find the line equation that is perpendicular to given line and passing through the point (2, -1)

Now, let us find slope of the given line.

$\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-2}{5}=-\frac{2}{5}$

Now, we know that, product of slopes of perpendicular lines equals to -1.

So, slope of required line $\times$ slope of given line = -1

slope of required line = $-1 \times \frac{5}{-2}=\frac{5}{2}$

And it passes through (2, -1)

Now, using point slope form

$\begin{array}{l}{\text { Line equation is } y-(-1)=\frac{5}{2}(x-2) \rightarrow 2(y+1)=5(x-2)} \\\\ {\rightarrow 2 y+2=5 x-10 \rightarrow 5 x-2 y=12}\end{array}$

Hence, the line equation is 2y = 5x -12

4 0

3 years ago

Write 454.12kg with 3 significant

s344n2d4d5 [400]

Answer: 454

Step-by-step explanation:

The first three digits will be the significant digits. Round the third digit.

454.12

the digit and the 4 is 1 so 454.12 is rounded to 454

6 0

3 years ago

Solve for the y-intercept m=-3/4 (-12,3)

igor_vitrenko [27]

Answer:

y=-3/4x-6

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Question in the photo

umka21 [38]

Answer:

23/96 = about 24%

Step-by-step explanation:

42 + 23 + 31 = 96 students total in survey

23 students that like volleyball / total students =23.95% about 24%

3 0

3 years ago