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Shkiper50 [21]
2 years ago
13

The equation of a straight line is 3y + 9x -12 =0. Use the equation to find the

Mathematics
1 answer:
Debora [2.8K]2 years ago
3 0

Answer:

-3

Step-by-step explanation:

Divide through the equation by the leading coefficient to obtain:

y+3x-4=0

y=4-3x

and our gradient is -3

You might be interested in
Subtract these polynomials.
zvonat [6]
Answer: A

Explanation:

(6x^2 - x + 8) - (x^2 + 2)
6x^2 - x + 8 - x^2 - 2
= 5x^2 - x + 6

6 0
2 years ago
The fence along the length of a ranch measures 4,450.5 meters and the fence along the width of a ranch measures 2,890 meters.
lawyer [7]
Given:Length = 4,450.5 metersWidth = 2,890 meters
1 kilometer = 1,000 meters
Length: 4,450.5 meters * 1km/1,000 meters = 4,450.5 km/1,000 = 4.4505km
Width: 2,890 meters * 1km/1,000 meters = 2,890 km/1,000 = 2.89 km
4.4505 km - 2.89 km = 1.5605 km
The length of the fence is 1.5605 km longer than the width of the fence.

3 0
3 years ago
What is the distance between the sandbox and garden
elena55 [62]
For this case, the first thing we must do is apply the law of the sine.
 We then have the following expression:
 sine (65) / x = sine (104) / 36
 Clearing the value of x we have:
 x = (sine (65) / sine (104)) * (36)
 x = 33.6 feet
 Answer:
 
The distance between the sandbox and garden is:
 
x = 33.6 feet
6 0
3 years ago
How is number 0.000063 written in scientific notation?
katen-ka-za [31]

Step-by-step explanation:

The scientific notation:

a\times10^k

<em>1 ≤ a < 10</em> and <em>k -</em><em> any integer number</em>

<em />

0.000063=0\underbrace{.00006}_{5\to}3=6.3\times10^{-5}\\\\\\0.000063=6.3:100,000=6.3:10^5=6.3\times10^{-5}

5 0
3 years ago
A standard six-sided die is rolled twice and the top faces are observed. What is the probability that the sum of the numbers on
melisa1 [442]

<u>Answer: </u>

A standard six-sided die is rolled twice and the top faces are observed and the probability that the sum of the numbers on the top faces is 10 is \frac{1}{12}

<u>Solution: </u>

The sample space of two dice outcomes is given as follows:

{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3, 1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4, 1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5, 1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6, 1) (6,2) (6,3) (6,4) (6,5) (6,6) }

Total number of events n(s) = 36

Expected Outcomes = {(4, 6), (5, 5), (6, 4)}

Number of favorable outcomes n(E) = 3

Probability (sum of numbers on the top faces is 10) = \frac{n(E)}{n(s)} = \frac{3}{36} = \frac{1}{12}

Therefore the probability that the sum of the numbers on the top faces is 10 is \frac{1}{12}

3 0
3 years ago
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