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Leya [2.2K]
4 years ago
15

- 3x + y = 6 what is the slope-intercept

Mathematics
1 answer:
tatiyna4 years ago
5 0

Answer:

Slope: 3 Y-intercept: 6

Step-by-step explanation:

You want to put this equation into y=mx+b form so it's easier to tell.

Add 3x on both sides.

y = 3x + 6

The slope is always the coefficient (number) in front of the x in the y = mx + b form. 6 is the y-intercept (reason: the y-intercept is when x=0, and when you substitute 0 for x in this, you get y=6).

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How many solutions will each system of linear equations have? Match the systems with the correct number of
JulsSmile [24]

Answer:

Step-by-step explanation:

Given that,

y = x + 6 equation 1

3x - 3y = -18.  Equation 2

Substitute equation 1 into equation 2

3x-3(x+6) = -18

3x - 3x - 18 = -18

-18 = -18

Therefore, it has no solution. Check attachment for echelon matrix solution

B. y = -2x + 5 equation 1

2x + y = -7.  Equation 2

Substitute equation 1 into 2

2x -2x + 5 = -7

5 = -7

Since the equation is not balance, then, it has infinite numbers of solution.

C. y = -4x + 11.  Equation 1

6x + y = 11.   Equation 2

Substitute equation 1 into 2

6x - 4x + 11 = 11

2x = 11 - 11

2x = 0

x = 0

Also, y = -4x + 11

y = 0 + 11 = 11

Then, this has a unique solution I.e. one solution.

5 0
3 years ago
Not sure how to do this, fill in the blank to make the two fractions equivalent. 3/5 = ?/25
AVprozaik [17]
3/5=x/25
Multiply both sides by 25 to get: x = 25(3/5)x = 15

Hope I wasn't too late!
8 0
3 years ago
Simplify the expression by combining like terms. Then,
Inessa [10]

Answer:

-14

Step-by-step explanation:

The like terms in this equation is y^2 and -7y^2 so combining the two the equation becomes:

xy-6y^2

Then we substitute the values in:

5×2-6×2^2 = -14

5 0
3 years ago
Apply the Pythagorean Theorem to find the distance between points A and C.
galina1969 [7]

Answer:

So the correct option is C )  58 units.

Also If we require Distance then l(AC) = √58 = 7.615 units

Step-by-step explanation:

Let the Points be

point A( x₁ , y₁) ≡ ( -2 , 1)  

point C( x₂ , y₂) ≡ (5 , -2)  

To Find:

d(AC) = ?

Solution:

By Applying the Pythagorean Theorem to find the distance between points A and C we get

l(AC) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}

Substituting A( x₁ , y₁) ≡ ( -2 , 1) and C( x₂ , y₂) ≡ (5 , -2) we get

l(AC) = \sqrt{((5-{(-2}))^{2}+(-2-1)^{2} )}\\\\l(AC) = \sqrt{(5+2)^{2}+(-3)^{2}}\\\\l(AC) = \sqrt{(49+9)}\\\\l(AC) = \sqrt{58}\\\\OR\\l(AC)^{2} = 58\ units

So the correct option is C )  58 units.

If we require Distance then l(AC) = √58 = 7.615 units

8 0
3 years ago
A club surveyed its members to decide on styles for a T-shirt order
-BARSIC- [3]

Answer:32 black

6 white long sleeve shirts

Step-by-step explanation:

62+6=68

100-68=32

3 0
3 years ago
Read 2 more answers
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