What is the multiplier? *

Simplify this expression 16+28÷2-6/10-4*2

CaHeK987 [17]

Answer:

12

Step-by-step explanation:

16+14-6/10-8

30-6/2

24/2

12

5 0

4 years ago

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What is the equation of the line that passes through (6, 1) and is perpendicular to the line y 3x+2? CI) At what angle do the li

Andrews [41]

Answer with explanation:

The equation of any line with slope 'm' and passing through any point $(x_1,y_1)$ is given by

$y=mx+(y_1-mx_1)$

As we know that the general equation of a line with slope 'm' is $y=mx+c$

Comparing with the given equation $y=3x+2$ we can conclude slope of the given line is $m_1=3$

Now we know that the product of slopes of perpendicular lines is -1

Mathematically we can write for perpendicular lines

$m_1\times m_2=-1$

Thus the slope of the required line is obtained from the above relation since it is given that they are perpendicular

$3\times m_{2}=-1\\\\\therefore m_{2}=\frac{-1}{3}$

Hence using the given and the obtained values the equation of the required line is

$y=-\frac{1}{3}x+(1-\frac{-1}{3}\times 6)}\\\\y=\frac{-x}{3}+3$

Part b)

The angle of intersection between 2 lines with slopes $m_{1},m_2$ is given by

$\theta =tan^{-1}(\frac{m_2-m_1}{1+m_1m_2})$

Comparing the equations of given lines

$y=6x+3\\\\y=2x+3$

with the standard equation we get

$m_{1}=6\\\\m_{2}=2$

Thus the angle of intersection becomes

$\theta =tan^{-1}(\frac{2-6}{1+2\times6})=17.10$

8 0

4 years ago

Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added toge

podryga [215]

Answer:

18 times the first equation and 8 times the second equation

Step-by-step explanation:

we have

$\frac{1}{4}x-\frac{1}{6}y=5$ ------> first equation

$\frac{4}{5}x+\frac{3}{8}y=10$ ------> second equation

step 1

Multiply the second equation by 8 both sides to remove the fraction in the variable y

$8(\frac{4}{5}x+\frac{3}{8}y)=10(8)$

$\frac{32}{5}x+3y=80$

step 2

Multiply the first equation by 18 both sides to obtain the coefficient -3 in the variable y

$18(\frac{1}{4}x-\frac{1}{6}y)=5(18)$

$\frac{18}{4}x-3y=90$

step 3

Adds the new equation 1 and equation 2

$\frac{18}{4}x-3y=90\\\\ \frac{32}{5}x+3y=80\\ -------$

The y-term is eliminated

therefore

The answer is

18 times the first equation and 8 times the second equation

3 0

4 years ago

Christopher columbus' ships had traveled for 16 days. How many miles did they travel in a day, on average, if the distance of th

Naddika [18.5K]

Answer:

On average, they travel 145 miles in a day

Step-by-step explanation:

2,320 ÷ 16 = 145

4 0

3 years ago

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Need help please FILE ATTACHED

Angelina_Jolie [31]

Answer: n+4 or 4+n

Step-by-step explanation: too much to explain but I promise it’s right

5 0

3 years ago