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2 years ago

Write an equation for the line that passes through (-1,4) with a slope of -10

Mathematics

1 answer:

Maurinko [17]2 years ago

4 0

Answer:

y = - 10x - 6

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 )

Here slope m = - 10, hence

y = - 10x + c ← is the partial equation

To find c substitute (- 1, 4) into the partial equation

4 = 10 + c ⇒ c = 4 - 10 = - 6

y = - 10x - 6 ← equation of line

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a package of 8 rechargeable batteries cost 12. at the rate how much would 20 rechargeable batteries would cost

Anettt [7]

Step-by-step explanation:

8 battery =12

20 battery =?(x)

8x=240

x=240÷8

x=30

for 20 battery..it would cost 30

5 0

3 years ago

Un vehiculo parte del reposo con una velocidad constante de 2 m/seg 2 y se mueve durante 5 segundos, su desplazamiento durante e

Andreas93 [3]

Answer:

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How does giving this award help the BLM more effectively manage land resources?

It prevents the companies from mining land resources such as gold and coal.

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It encourages companies to follow rules set by government agencies.

It educates the companies about ways hard rock mining can destroy land resources.

7 0

2 years ago

The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.' a) What

Tcecarenko [31]

Answer:

$Mean = 0.36$

$SD = 0.5817$

$P(x=3) = 0.003588$

Step-by-step explanation:

Given

Let

A = Event of being a universal donor.

So:

$P(A) = 0.06$

$n = 6$

Solving (a): Mean and Standard deviation.

The mean is:

$Mean = np$

$Mean = 6 * 0.06$

$Mean = 0.36$

The standard deviation is:

$SD = \sqrt{np(1-p)}$

$SD = \sqrt{6*0.06*(1-0.06)}$

$SD = \sqrt{0.3384}$

$SD = 0.5817$

Solving (b): P(x = 3)

The event is a binomial event an dthe probability is calculated as:

$P(x) = ^nC_x * p^x * (1-p)^{n-x}$

So, we have:

$P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^{6-3}$

$P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^3$

$P(x=3) = 20 * 0.06^3 * (1-0.06)^3$

$P(x=3) = 0.003588$

7 0

2 years ago

Write each of the following as a polynomial in descending powers of its variable

nikklg [1K]

1. 7x(x + 3)
    7x(x) + 7(3)
    7x² + 21

2. (7x + 1)(x + 3)
    7x² + 21x + x + 3
    7x² + 22x + 3

3. (x² + x)²
    (x² + x)(x² + x)
   x^4 + x³ + x³ + x²
   x^4 + 2x³ + x²

4 0

3 years ago

Benjamin started her walk from the front door of her ground floor apartment. She walked 6 meters to the corner of the building a

notsponge [240]

Answer:

<u>4 meters.</u>

Step-by-step explanation:

Benjamin has walked two legs of a right triangle, so you can connect her two movements with a line if you were sketching the situation.. The displacement is the objects overall change in position in relation to its origin, so in your case, Benjamin's apartment. While the total distance adds up regardless of her position.

So, the total distance Benjamin walked is 10m + 6m = 16m

Her displacement can be found by your best friends, the Pythagorean Theorem: 10m ^2 + 6m ^2 = delta x^2 (or displacement squared).. giving you a displacement of 11.66, or 12 m.

The difference between the distance she walked and her displacement is 4 meters.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

6 0

3 years ago