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s344n2d4d5 [400]
1 year ago
7

What is the equation of the line that passes through the point (6,-4) and has a slope of-?

Mathematics
1 answer:
andriy [413]1 year ago
5 0

Answer:

<u>y = -x + 2</u>

Step-by-step explanation:

*Assuming the slope given is -1*

<u>Applying point-slope formula</u> :

  • y - (-4) = -1 (x - 6)
  • y + 4 = -x + 6
  • y = -x + 2
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B2%7D%5E%7Bx%20%2B%202%7D%20-%20%20%7B2%7D%5E%7B%20x%20%2B%203%7D%20%7D%7B%2
weeeeeb [17]

I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be <em>x</em> + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that <em>n</em>ª / <em>n</em>ᵇ = <em>n</em>ª⁻ᵇ, so that we have

… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)

… = (2¹ - 2²) / (2⁰ - 2¹)

… = (2 - 4) / (1 - 2)

… = (-2) / (-1)

… = 2

Another way to get the same result: rewrite every term as a multiple of <em>y</em> = 2ˣ :

… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)

… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4<em>y</em> - 8<em>y</em>) / (2<em>y</em> - 4<em>y</em>)

… = (-4<em>y</em>) / (-2<em>y</em>)

… = 2

8 0
3 years ago
Can someone please help me <br> Step-by-step explanation please
-Dominant- [34]

Answer:

x=3

Step-by-step explanation:

AB+BC>AC

2x + 3 + x + 1 > x + 10

we correct like terms

2x + x + 3 + 1> x+ 10

3x + 4> x + 10

3x - x > 10-4

2x > 6

divide both sides by 2

2x÷2 > 6÷2

x = 3

4 0
2 years ago
The school cafeteria seats 250 students. 203 students are already seated. Write and sole an inequality that represents the addit
Nitella [24]

Answer:

An equation that represents the given situation is 203+x=250 and the additional number of students that can be seated is 47

Step-by-step explanation:

Number of students already seated in school cafeteria = 203

Let x be the additional number of students that can be seated

So, Total number of seats available in school cafeteria = 203+x

We are given that the school cafeteria seats 250 students

So, 203+x=250

\Rightarrow x=250-203

\Rightarrow x=47

Hence an equation that represents the given situation is 203+x=250 and the additional number of students that can be seated is 47

6 0
3 years ago
The height of a volleyball, h, in feet, is given by h = −16t2 + 11t + 5.5, where t is the number of seconds after it has been hi
slavikrds [6]

Answer:

It will travel high enough

Step-by-step explanation:

Find the vertex of the parabola:

x=-b/2a

x=-11/2(-16)

x=-11/-32

x=11/32

Plug x=11/32 into quadratic to get the y-coordinate:

h=-16(11/32)^2+11(11/32)+5.5

h=7.391

Since 7.391>7.3, the volleyball will travel high enough (aka. yes)

3 0
3 years ago
Can you please help me solve thanks step by step
shusha [124]

Answer:

40 degrees

Step-by-step explanation:

We know the entire angle of ABD is 70 and CBD and ABC are in it.

Since we know one of them (CBD) is 30, we can subtract 30 from 70 to find ABC. This is because the angle of ABC and CBD equal ABD.

30 + x = 70

-30 from both sides

x = 40

6 0
3 years ago
Read 2 more answers
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