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Mashcka [7]
3 years ago
8

(-4,6); slope = -3/4

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
3 0

Answer:

y = - \frac{3}{4} x + 3

Step-by-step explanation:

Assuming you require the equation of the line

The equation of a line in slope- intercept form is

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

Here m = - \frac{3}{4} , thus

y = - \frac{3}{4} x + c ← is the partial equation

To find c substitute (- 4, 6) into the partial equation

6 = 3 + c ⇒ c = 6 - 3 = 3

y = - \frac{3}{4} x + 3 ← equation of line

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Suppose Ken has 25 coins and nickels and dimes only and has a total of a $1.65 how many of each coin does he have?
nikklg [1K]
x-\ number\ of\ nickels\\
y-\ number\ of\ dimes\\\\
x+y=25 \ \ \ | x=25-y\\
0.05x+0.1y=1.65\\\\
0.05(25-y)+0.1y=1.65\\\\
1.25-0.05y+0.1y=1.65\\\\
1.25+0.05y=1.65\ \ \ | subtract\ 1.25\\\\
0.05y=0.4\ \ \ \ \ | divide\ by\ 0.05\\\\
y=8\\\\
x=25-8=17\\\\
There\ are\ 17 \ nickels\ and\ 8\ dimes.

6 0
3 years ago
Using the following triangle, what is the cosine of angle B?
Nikolay [14]

Answer:

  cos(B) = a/c

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Cos = Adjacent/Hypotenuse

The leg adjacent to angle B is "a". The hypotenuse is "c", so the desired cosine is ...

  cos(B) = adjacent/hypotenuse = a/c

7 0
3 years ago
5. Find the thickness of each layer. Use the data to determine the percentage of the total
zmey [24]

Answer:

Exosphere - 10,000 kilometers thick

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Mesosphere - 2200 km

Stratosphere - Depends, but most occurring thickness is 50km

Troposphere - 8-14km

Step-by-step explanation:

Double check and verify this information with your lesson since honestly the numbers could very well differ depending on your lesson and when they were taken. I hope this helps though..have a good one

3 0
2 years ago
The cost of a taxi ride is represented by the function c(m)=2m+4, where m is the number of miles traveled. What is the cost per
galina1969 [7]

Answer:

cost per mile = $2.

Step-by-step explanation:

Given the cost function, c(m) = 2m + 4,

Where the m represents the number of miles traveled, and $2 is the cost per mile of the cab. The $4 represents the flat rate, a set fee, or the initial value.

Therefore, the cost per mile of the cab is $2.  

3 0
3 years ago
Theo used to drive 60 miles to work each day. His new home is now 20 miles away
posledela

Answer:

66.6% decrease in distance

Rounded 67%

He is traveling 1/3 of what he used to travel

Step-by-step explanation:

8 0
2 years ago
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