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3 years ago

Find the equation of the line

Mathematics

1 answer:

Elis [28]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 2 ← is in slope- intercept form

with slope m = 6

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{6}$ , thus

y = - $\frac{1}{6}$ x + c ← is the partial equation

To find c substitute (6, - 2 ) into the partial equation

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

y = - $\frac{1}{6}$ x - 1 ← equation of line

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Is (8,8) a solution to the equation y=x?

Nookie1986 [14]

Answer:

Yes

Step-by-step explanation:

(8,8) is a solution is y=x.

If we substitute the point into the equation, the equation is true.

(8,8) is in (x,y) format

Substitute:

y=x

8=8

LS=RS (left side equal rights side)

7 0

3 years ago

Read 2 more answers

PLEASE HELP QUICK!!! A bowl has 85 pieces of candy. Nineteen children empty the bowl of candy. Some children take 3 pieces, some

Mekhanik [1.2K]

Answer: 3 kids take 3 pieces of candy each

Step-by-step explanation:

Let the number of children that took 3 pieces is x ( total take 3*x pieces of candy)

Number of children that took 5 pieces is y ( total take 5*y pieces of candy)

1 child took 1 piece that actually means that x+y=18 and 3*x+5*y=84.

( Because total number of all kids is 19. We just deduct one kid (Let his name is John) who took only 1 candy. So we have 19-1 =18 kids without John. The similar is with the candies. Total number is 85. We deduct 1 piece which John has taken. )

So we have 2 equations or the system of 2 equations:

1). x+y=18

2). 3*x +5*y=84

Multuply both sides of equation 1) by 3

We have 3*x+3*y=18*3

Deduct 3*y from both sides of this equation

3*x+3*y-3*y=54-3*y

3*x=54-3*y

Substitute 3*x in equation 2). by 54-3*y

2) 54-3*y+5*y=84

2*y=30

y=15 ( kids take 5 pieces of candy each)

Using equation 1) find x

x+15=18

x=3 (kids take 3 pieces of candy each)

5 0

3 years ago

Find the value of x from the equation

Jobisdone [24]

$\dfrac{8^{3x}}{2^{10}}=\dfrac{4^{2x}}{16} \\\dfrac{2^{3(3x)}}{2^{10}}=\dfrac{4^{2x}}{4^2} \\2^{9x-10}=4^{2x-2} \\2^{9x-10}=2^{2(2x-2)} \\2^{9x-10}=2^{4x-4} \\9x-10=4x-4 \\5x-6=0 \\5x=6 \\\boxed{x=\dfrac{6}{5}}$

Hope this helps.

r3t40

3 0

3 years ago

A survey of 260 families show that 99 had dog 76 had cat 34 had dog and cat 98 had neither a cat nor a dog nor a parakeet 8 had

Archy [21]

Answer:

<u>Option D. 21</u>

Step-by-step explanation:

The question is as shown in the attached figure 1

The Venn diagram representing the problem is the attached figure 2

D ⇒ Dog , C⇒ Cat and P ⇒ parakeet

Let the The families had parakeet only = X

A survey of 260 families show that:

99 had dog

76 had cat

34 had dog and cat

98 had neither a cat nor a dog nor a parakeet

8 had a cat a dog and a parakeet

So,

The families had a dog and a cat only = 34 - 8 = 26

The families had a dog only = 99 - (26 + 8 ) = 65

The families had a cat only = 76 - (26 + 8) = 42

∴ X = 260 - ( 98 + 8 + 26 + 65 + 42 ) = 260 - 239 = 21

So, The families had a parakeet only = 21

<u>The answer is option D</u>

5 0

3 years ago

-10x^2-4x+2=0 real number solutions

s344n2d4d5 [400]

Answer:

2 real solutions

Step-by-step explanation:

a=-10, b=-4, c=2

(-4)^2-4x(-10)x2=96

8 0

3 years ago