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melisa1 [442]
3 years ago
9

Type ALL the steps of writing the equation of the line given the slope of the line is −4 and a point on the line is (−2,1).

Mathematics
1 answer:
Mars2501 [29]3 years ago
3 0

Answer:

y = -4x - 7

Step-by-step explanation:

we use the slope intercept formula given by; y = mx + b

b = y intercept, which is when x = 0

m = slope

so they tell us the slope.. we just need to find b - the y intercept.

y = mx + b

plug in your coordinates (-2,1)

1 = -4(-2) + b

1 = 8 + b

1 - 8 = b

-7 = b

put it all together.

y = -4x - 7

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Toy cars cost $2. If Anna bought 4 toy cars and 5 toy airplanes and spent $38, how
Y_Kistochka [10]

Answer: A toy airplane costs $6

Step-by-step explanation: Because 4 toy cars cost $8 , then there are $30 for 5 toy planes. One toy plane cost 30/5 = $6

8 0
3 years ago
A credit card contains 16 digits between 0 and 9. However, only 100 million numbers are valid. If a number is entered randomly,
marusya05 [52]

Answer:

P(valid) = 1 * 10^{-8}

Step-by-step explanation:

Let us first find the number of possible credit card numbers that can be formed with the numbers 0 - 9.

We want to form a 16 digit number out of 10 digits, so, we have:

N = 10^{16}

There are 10^{16} numbers that can be formed.

There are only 100 million valid numbers (100 * 10^6 = 10^8). Let the number of valid numbers be n.

Therefore, the probability of picking a number that is valid is:

P(valid) = n / N

P(valid) = 10^{8} / 10^{16}\\\\P(valid) = 1 * 10^{-8}

8 0
3 years ago
Hand lotion origninally cost $3.00 for 16-ounce. This week the lotion is on sale $2.40 for 16-ounce. What is the percent decreas
pshichka [43]

Answer:

20%

Step-by-step explanation:

To find out the percent decrease of the price of the lotion, the first step is to get the amount of the decrease in price.

The lotion is normally $3.00 for the bottle.

This week, it's at $2.40 for the same bottle.

The difference is then of $0.60 per bottle.

Now, we take that $0.60 and we divide it by the original price of $3, we get:

$0.60 / $3.00 = 0.20  

So the special is a reduction of 20% from the original price of $3.00 per bottle.

6 0
3 years ago
Sin (3x+19)=Cos(5x-25) <br> What is the value of x? <br> A) 6 <br> B) 12 <br> C) 18 <br> D) 24
malfutka [58]

Answer:

B

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Given

sin(3x + 19) = cos(5x - 25), then

3x + 19 = 90 - (5x - 25)

3x + 19 = 90 - 5x + 25

3x + 19 = 115 - 5x ( add 5x to both sides )

8x + 19 = 115 ( subtract 19 from both sides )

8x = 96 ( divide both sides by 8 )

x = 12 → B

5 0
3 years ago
Read 2 more answers
Find cscθ.<br><br>pls answer
ExtremeBDS [4]

Answer:

The answer to your question is csc Ф = \frac{-5}{4}

Step-by-step explanation:

Process

1.- Determine the sign

We must determine csc Ф in the forth quadrangle, here csc is negative.

2.- Determine the hypotenuse

     c² = a² + b²

     c² = 3² + (-4)²

     c² = 9 + 16

     c² = 25

     c = 5

3.- Determine csc Ф

    csc Ф = \frac{hypotenuse}{opposite side}

    csc Ф = \frac{5}{-4}  = \frac{-5}{4}

7 0
3 years ago
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