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3 years ago

What is an equation of the line that passes through the point (−3,−1) and is perpendicular to the line x-2y=6?

Mathematics

1 answer:

gogolik [260]3 years ago

5 0

Answer:

y = 2x+5

Step-by-step explanation:

rearrange the equation to make y the sof

y = 1/2x - 3

to find gradient of perpendicular line

1/2 ÷ ( - 1 )

y = -2x + c , the replace the coordinates (-3,-1)

y = 2x + 5

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HELP plz I GIVE BRAINLIEST PLUS A LOT OF POINTS Draw a number line and mark all described points on it... ...Numbers that are ei

Viktor [21]

Answer:

Please find the attached file of the given graph:

Step-by-step explanation:

6 0

3 years ago

I NEED HELP ASAP PLEASEEEE

zhuklara [117]

Answer:

$(f-g)(x)=x^2-6x+5$ dom: (-∞,∞)

$(\frac{f}{g})(x)=x-7+\frac{7}{x+2}$ dom: (–∞,–2)u(–2,∞)

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)=(x^2-5x+7)-(x+2)$ *distribute the negative sign into (x+2)!

$x^2-5x+7-x-2\\x^2-6x+5$

a parabola (anything that begins with $x^2$ ) will have a domain of (-∞,∞) or all real numbers!!

$(\frac{f}{g} )(x)= \frac{x^2-5x+7}{x+2}$ use synthetic division to divide (the attached picture)

domain: Because the graph is not continuous, you have to write the domains on both sides of the asymptote which is (-∞,-2)u(-2,∞)

<u>synthetic division:</u>

1. take the divisor (x+2) and solve for x. x= –2 this goes in the top left corner

2. write the numbers AND their signs on the top row. if there is no number and just the variable (like $x^2$ ) just write 1.

3. the first number gets pulled down

4. multiply -2 by 1 and subtract it from –5. (-5-2= -7)

multiply -2 by -7 and add that to the next number in the top row which is -7. (-7 + 14=7)

5. the first number in the bottom row of numbers is the first number in the answer but with one less exponent than the dividend. **write 1 as x**

6. the last number in the bottom row, if it is not 0, is a remainder. write it as that number over the divisor. in this case the remainder is 7. so write it as $\frac{7}{x+2}$

4 0

2 years ago

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tent

Fantom [35]

Answer:

y = 8

x = 11.3

option 2

Step-by-step explanation:

We can recognize this right triangle as a special triangle, a 45° - 45° - 90° triangle more specifically. This triangle would be isosceles because the two base angles are both 45°. Since the triangle is isosceles, we can say that the legs are congruent, so y = 8. In a 45° - 45° - 90° triangle, the hypotenuse is √2 times the legs. To find x, we can set up the equation:

8 * √2 =x

x = 8√2 or about 11.3

3 0

3 years ago

Suppose we want to choose 5 objects, without replacement, from 13 distinct objects. (a) How many ways can this be done, if the o

Arisa [49]

Answer:

A. 1, 287 ways

B. 154,440 ways

Step-by-step explanation:

A. We want to choose 5 objects from a total 13, without considering the order in which they are chosen.

The correct way to do this is by using the combination formula since order is not considered;

Thus we have ; 13 C 5 read as 13 combination 5;

Mathematically, n C r is ; n!/(n-r)!r!

Thus, we have ;

13!/(13-8)!8! = 13!/5!8! = 1,287 ways

B. By considering order, we shall be using the permutation formula;

Mathematically n P r = n!/(n-r)!

Read as n permutation r;

Using the numbers involved, we have ; 13 P 5

= 13!/(13-5)! = 13!/8! = 154,440 ways

8 0

3 years ago

When factoring the equation 9x2+9x+2 what two numbers will the "9x" term be broken into?

Andrew [12]

Answer:

it will be broken into 9*what ever x is

Hope This Helps!!!

6 0

2 years ago

Read 2 more answers