Find the slope on the graph

Answer:

Please check the explanation.

Step-by-step explanation:

We also know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

Given the lines

1)

Comparing with y=mx+b, the slope of y = 6х - 3:

m₁=6  

Comparing with y=mx+b, the slope of y = - 1/6x + 7:

m₂=-1/6

As

m₁ × m₂ = -1

6 ×  - 1/6 = -1

-1 = -1

Thus, the lines y = 6х - 3 and y = - 1/6x + 7 are perpendicular.

2)

Comparing with y=mx+b, the slope of y = 3x + 2:

m₁=3  

simplifying to write in slope-intercept form

y=3x-3

Comparing with y=mx+b, the slope of y=3x-3:

m₂=3

As the slopes of y = 3x + 2 and 2y = 6x - 6 are equal.

i.e. m₁ = m₂ → 3 = 3

Thus, the lines y = 3x + 2 and 2y = 6x - 6 are paralle.

3)

simplifying to write in slope-intercept form

y = 4x - 3/2

Comparing with y=mx+b, the slope of y = 4x - 3/2:

m₁=4  

simplifying to write in slope-intercept form

y=-1/4x-1/4

Comparing with y=mx+b, the slope of y=-1/4x-1/4:

m₂=-1/4

As

m₁ × m₂ = -1

4 ×  - 1/4 = -1

-1 = -1

Thus, the lines 8x - 2y = 3 and x + 4y = - 1 are perpendicular.

4)

simplifying to write in slope-intercept form

y = -3/2x + 5/2

Comparing with y=mx+b, the slope of y = -3/2x + 5/2:

m₁=-3/2  

simplifying to write in slope-intercept form

y = -2/3x - 1

Comparing with y=mx+b, the slope of y = -2/3x - 1:

m₂=-2/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

5)

simplifying to write in slope-intercept form

y=6x+5

Comparing with y=mx+b, the slope of y=6x+5:

m₁=6  

simplifying to write in slope-intercept form

y=6x-1

Comparing with y=mx+b, the slope of y=6x-1:

m₂=6

As the slopes of y - 5 = 6x and y - 6x = -1 are equal.

i.e. m₁ = m₂ → 6 = 6

Thus, the lines y - 5 = 6x and y - 6x = -1 are paralle.

6)

Comparing with y=mx+b, the slope of y = 3х + 9:

m₁=3  

Comparing with y=mx+b, the slope of y =  1/3x - 4:

m₂=1/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

Answer:

[tex]c + r \leq 10[/tex]

[tex]7.5c + 10r \geq 56[/tex]

Step-by-step explanation:

Given

Hours = not more than 10

Earnings = At least 56

Required

Represent this as a system of inequalities

Let c represents the cleaning job

Let r represents the retail job

The number of hours

Not more than means [tex]\leq 10[/tex]

So:

[tex]c + r \leq 10[/tex]

Earnings

c = 7.50 per hour

r = 10 per hour

Earnings = At least 56

At least 56 means [tex]\geq 56[/tex]

So;

[tex]7.5c + 10r \geq 56[/tex]

Hence, the system is:

[tex]c + r \leq 10[/tex]

[tex]7.5c + 10r \geq 56[/tex]

Answer:

hi 51.2 is the answer

Step-by-step explanation:have a good day.

The population of California in the year 2025 is approximately 57.96 million.

To calculate the population of California in 2025, we need to use the population growth formula:

Population in the future = Population in the present * [tex](1 + Growth rate)^{Number of years}[/tex]

Given:

Population in 1995 = 32 million

Growth rate = 2% = 0.02 (in decimal form)

Number of years = 2025 - 1995 = 30 years

Now, let's calculate the population in 2025:

Population in 2025 = 32 million * (1 + 0.02)³⁰

Population in 2025 ≈ 32 million * (1.02)³⁰

Population in 2025 ≈ 32 million * 1.8114

Population in 2025 ≈ 57.9648 million

Therefore, the population of California in the year 2025 is approximately 57.96 million.

To know more about population:

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Answer:

9/10 and it can't be simplified

Step-by-step explanation:

BRAINLIEST PLEASE  

Answer:

9/10

Step-by-step explanation:

1/2 = 5/10

2/5 = 4/10

5/10+4/10= 9/10

Answer:

MP=18

Perimeter of ∆LMP=42

Answer:

MP= 18

Perimeter is 42

Step-by-step explanation:

The midsegment is always half of the third side

LP=LO/2

LP=15

18+15+9=42

Answer:

400 points for you

Step-by-step explanation:

Answer:

Number of video game = 20

Step-by-step explanation:

Given:

Total number of project = 56

Ratio = 5:9

Find:

Number of video game

Computation:

Number of video game = 56[5/(5+9)]

Number of video game = 56[5/(14)]

Number of video game = 280 / 14

Number of video game = 20

Answer:

6.26

Step-by-step explanation:

Integer Part: 6

Fractional Part: 258

If the last digit in the fractional part of 6.258 is less than 5, then simply remove the last the digit of the fractional part.

If the last digit in the fractional part of 6.258 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit.

If the last digit in the fractional part of 6.258 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is less than 9, then add 1 to the first digit in fractional part and make the second digit in fractional part 0. Then remove the third digit.

If the last digit in the fractional part of 6.258 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part 00.

With 6.258, rule B applies and 6.258 rounded to the nearest hundredth is 2.26

Answer: (-4, -2)

Step-by-step explanation:

just took the test and got this right! :-)

Answer:

Your answer is 3.

Step-by-step explanation:

I hope this helped.

Answer:

B is the answer for the question

Answer:

8

Step-by-step explanation:

Answer:

0.125

Step-by-step explanation:

Answer:

i think its c

but im not sure

Step-by-step explanation:

Answer:

$3.11

Step-by-step explanation:

It is given that,

Salvador bought 6 lbs of coffee for $18.66.

We need to find the unit price per pound.

The unit price per pound is calculated by dividing total cost by 6 as follows :

[tex]C=\dfrac{18.66}{6}\\\\=\$3.11[/tex]

Hence, the unit price per pound is $3.11

Answer:

3.14

Step-by-step explanation:

d=2

A= pi*r^2 = pi*(d/2)^2 = pi*(2/2)^2= pi*1 =pi =3.14

Answer:

g= (9,8)  f= (-5,1)

Step-by-step explanation:

you're welcome =)

Answer:

with what

Step-by-step explanation:

i don't know how to explain it I can just tell you that 7 is (1,5) 8 is (1,40) 9 is (-16,-7) and 10 is (8,5)

Answer:

you make 15 birdhouses, your friend makes 30.

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

-9.63

Step-by-step explanation:

-√92.75=

-9.63

Given:

In  ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.

To find:

The length of k, to the nearest inch.

Solution:

According to Law of sine,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

In ΔKLM, using law of sine, we get

[tex]\dfrac{k}{\sin K}=\dfrac{l}{\sin L}[/tex]

[tex]\dfrac{k}{\sin (55^\circ)}=\dfrac{48}{\sin (46^\circ)}[/tex]

[tex]k=\dfrac{48\times \sin (55^\circ)}{\sin (46^\circ)}[/tex]

On further simplification, we get

[tex]k=\dfrac{48\times 0.819152}{0.7193398}[/tex]

[tex]k=\dfrac{39.319296}{0.7193398}[/tex]

[tex]k=54.66025 [/tex]

Approximate the value to the nearest inch.

[tex]k\approx 55 [/tex]

Therefore, the length of k is 55 inch.

The length of k, to the nearest inch is  ∠K=55°.

Since

In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.

Now here we apply law of sine

[tex]a\div sin\A = b\div sin\ B = c\div sin\c \\\\k\div sin \ k = l\div sin\ L\\\\k\div sin\ 55 = 48\div sin\ 66[/tex]

k = 54.66

k = 55 degrees

hence, The length of k, to the nearest inch is  ∠K=55°.

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For your question: "Khalid invests $500 in an account that earns 1.5% interest per year, compounded annually. Which of the following is

formed by the amount in his account from year to year?"

The geometric sequence is formed.

Answer:

d

Step-by-step explanation: