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sweet [91]
3 years ago
5

enter equation in point slope form for the line with the given slope things given point the slope of a line is 6/7 and contains

the point -9, six
Mathematics
2 answers:
tino4ka555 [31]3 years ago
6 0
Y - y1 = m(x - x1)
slope(m) = 6/7
(-9,6)....x1 = -9 and y1 = 6
now we sub...pay close attention to ur signs
y - 6 = 6/7(x - (-9)....not done yet
y - 6 = 6/7(x + 9) <===

lesya692 [45]3 years ago
4 0
Well the point would be (-9,6) and the slope is approx. 6/7 and if you'd like it in point slope form it would be y-6=6/7(x+9)

Hope this helped ;D
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How many solutions are there to this equation 3x(x-4)+5-x=2x-7
stich3 [128]

Answer:

  2 solutions

Step-by-step explanation:

I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...

  • x = 1
  • x = 4

__

To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:

  3x(x -4) +5 -x -(2x -7) = 0

  3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses

  3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms

  3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor

The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.

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<em>Alternate method</em>

Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...

  d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c

  d = (-15)^2 -4(3)(12) = 225 -144 = 81

This positive value means the equation has 2 real solutions.

4 0
3 years ago
The table shows how the number of sit-ups marla does each day has changed over time. at this rate how many sit-ups will she do o
DENIUS [597]
The number of situps form an AP with first term (a) = 17 and common difference (d) = 4

Tn = a + (n - 1)d
T12 = 17 + (12 - 1) x 4 = 17 + 11(4) = 17 + 44 = 61

Therefore, she will do 61 situps on day 12.
5 0
3 years ago
Read 2 more answers
A farmer wants to plant peas and carrots on no more than 400 acres of his farm. If x represents the number of acres of peas and
wlad13 [49]

Answer:

(1,400)

Step-by-step explanation:

Hope this helps

5 0
2 years ago
Read 2 more answers
determine the point of intersection of the following pair of lines ............2x-3y-4=-13 and 5x=-2y+25. 3x+2y-7=0 and 2x=12-5y
grandymaker [24]

Answer:

  1. (x, y) = (3, 5)
  2. (x, y) = (1, 2)

Step-by-step explanation:

A nice graphing calculator app makes these trivially simple. (See the first two attachments.) It is available for phones, tablets, and as a web page.

__

The usual methods of solving a system of equations involve <em>elimination</em> or <em>substitution</em>.

There is another method that is relatively easy to use. It is a variation of "Cramer's Rule" and is fully equivalent to <em>elimination</em>. It makes use of a formula applied to the equation coefficients. The pattern of coefficients in the formula, and the formula itself are shown in the third attachment. I like this when the coefficient numbers are "too messy" for elimination or substitution to be used easily. It makes use of the equations in standard form.

_____

1. In standard form, your equations are ...

  • 2x -3y = -9
  • 5x +2y = 25

Then the solution is ...

  x=\dfrac{-3(25)-(2)(-9)}{-3(5)-(2)(2)}=\dfrac{-57}{-19}=3\\\\y=\dfrac{-9(5)-(25)(2)}{-19}=\dfrac{-95}{-19}=5\\\\(x,y)=(3,5)

__

2. In standard form, your equations are ...

  • 3x +2y = 7
  • 2x +5y = 12

Then the solution is ...

  x=\dfrac{2(12)-5(7)}{2(2)-5(3)}=\dfrac{-11}{-11}=1\\\\y=\dfrac{7(2)-12(3)}{-11}=\dfrac{-22}{-11}=2\\\\(x,y)=(1,2)

_____

<em>Note on Cramer's Rule</em>

The equation you will see for Cramer's Rule applied to a system of 2 equations in 2 unknowns will have the terms in numerator and denominator swapped: ec-bf, for example, instead of bf-ec. This effectively multiplies both numerator and denominator by -1, so has no effect on the result.

The reason for writing the formula in the fashion shown here is that it makes the pattern of multiplications and subtractions easier to remember. Often, you can do the math in your head. This is the method taught by "Vedic maths" and/or "Singapore math." Those teaching methods tend to place more emphasis on mental arithmetic than we do in the US.

7 0
3 years ago
Can some one help me with this I need help with it it's due tomorrow so plz help me
Fynjy0 [20]
Add the two and you should get 2 and 7/16
7 0
3 years ago
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