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valina [46]
3 years ago
14

What is the y-intercept of the line described by the equation below? Y=3x - 6

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
5 0

We are given the equation y = 3x - 6

The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

The b value in this equation is -6, thus the y-intercept is -6.

Let me know if you need any clarifications, thanks!

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Help asap idek what to do
daser333 [38]

So to solve this question, your goal is to find out how the way it is solved is not correct.

Your answer would be: On the third line, the student adds the 8 to both sides instead of subtracting. The way the initial equation is given is

y-(-8)=-6(x-2). After distributing the six, the student should make the 8 positive because subtracting a negative makes a positive. After solving, the equation should look like: y(+8)=-6x+12, so you would subtract the 8 from both sides instead of adding it, and solve from there.

5 0
3 years ago
Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
3 years ago
Factor 72y + 108z to identify the equivalent expressions​
ra1l [238]

36(2y+3z) and 12(6y+9z)

4 0
3 years ago
Can someone pls help? also what would be the equation/formula be to solve this??
lesya [120]

Answer:

2825.4227689325 millimeters2

Step-by-step explanation:

sorry if wrong!

3 0
3 years ago
Complete the number sentence to solve. Enter the answer in simplest form. Four students share 6 granola bars equally. How many g
nata0808 [166]

Answer:

1.5 bars of granola per student

Step-by-step explanation:

Number of students = 4

Number of granola bars = 6

Four students share 6 granola bars equally.

Each student gets = 6 ÷ 4

= 1 1/2

= 1.5 bars of granola per student

Each student's share is 1.5 granola bars.

3 0
3 years ago
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