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3 years ago

Find the Sum: (20 - 6) + 3(c + 8)

Mathematics

1 answer:

RideAnS [48]3 years ago

6 0

Answer:

38 + 3c

Step-by-step explanation:

Apply the distributed property: (20 - 6) + 3c + 24
20 - 6 = 14
Plug 14 in: 14 + 3c + 24
Combine like terms: 38 + 3c

I hope this helps!

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What is the equation of the line that passes through the point (5,4) and is perpendicular to the line whose equation is 2x + y =

Zepler [3.9K]

The equation of the line that passes through the point (5,4) and is perpendicular to the line whose equation is 2x + y = 3 in standard form is x - 2y = - 3

Solution:

Given, line equation is 2x + y = 3

2x + y – 3 = 0 ----- eqn (1)

We have to find a line that is perpendicular to 2x + y – 3 = 0 and passing through (5, 4).

Now, let us find the slope of the given line,

$\text { Slope of a line }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-2}{1}=-2$

$\text { Slope of a line } \times \text { slope of perpendicular line }=-1$

$\begin{array}{l}{-2 \times \text { slope of perpendicular line }=-1} \\\\ {\text { Slope of perpendicular line }=-1 \times \frac{1}{-2}=\frac{1}{2}}\end{array}$

Now, slope of our required line = 1/2 and it passes through (5, 4)

The point slope form is given as:

$y-y_{1}=m\left(x-x_{1}\right)$

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

$\text { Here in our problem, } \mathrm{m}=\frac{1}{2}, \text { and }\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right)=(5,4)$

$y-4=\frac{1}{2}(x-5)$

Now let us convert to standard form:

The standard form of a line is just another way of writing the equation of a line.

The standard form of an equation is Ax + By = C. In this kind of equation, x and y are variables and A, B, and C are integers.

2(y – 4) = 1(x - 5)

2y – 8 = x – 5

x – 2y - 5 + 8 = 0

x - 2y + 3 = 0

x - 2y = - 3

Hence, the line equation in standard form is x - 2y = - 3

4 0

3 years ago

how do i do this ? i don’t know if i find the x value then that’s the answer or if i plug the x answer to both of those question

Nady [450]

Answer:

x=12

Step-by-step explanation:

X=12 because we can see from the picture that the left line is drawn between parallel lines, meaning that the two angles (10x-13 and 4x+25) are supplementary, meaning that they add up to 180.

so we can now write an equation and solve it

(10x-13)+(4x+25)=180

14x+12=180

14x=168

x=12

3 0

3 years ago

What % is 2000 from 40,000

3241004551 [841]

Answer:

Step-by-step explanation:

2000/40000 = 0.05

All you do is divide both numbers and you'll get the decimal form which in this case is 0.05 which means 5%.

8 0

3 years ago

Read 2 more answers

Can someone help , please ?

Oxana [17]

a. 1.732

because if the number behind the number you are rounding is 5 or greater, you go up a number, but if it is less than 5, then you leave it the same. this applies to both problems.

b. 3.142

4 0

4 years ago

Read 2 more answers

Can someone help me please ?

Oliga [24]

I think that it might be "c" but I am not sure but hey it is worth a shot sorry if I am wrong!

7 0

3 years ago