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Goryan [66]
2 years ago
5

Is (9, 2) a solution to the system below?

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
8 0
C sorry if i’m wrong btw
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Write the equation of a line that passes through points (0,4) and (-2,-3) in slope intercept form
Otrada [13]

y=mx+b is the equation of a line;

m=slope , b= y-intercept

You can find the slope with this following equation: (y(2)-y(1))/(x(2)-x(1))

In this case the points are (0,4) and (-2,-3). The first set being (0,4) and the second (-2,-3). This means (0,4) can be expressed as (x(1),y(1)) and (-2,-3) expressed as (x(2),y(2)). Plugging these numbers into the slope equation gives us: (-3-4)/(-2-0) = -7/-2 = 7/2.

m= 7/2 ; so we have : y= (7/2)x+b

We are give a set of points which it passes through, we can simply plug them in:

4 = (7/2)(0)+b (0 is the x and 4 is the y)

We get 4 = 0 +b .... 4=b

our final equation is : y=(7/2)x+4

4 0
3 years ago
2. what value of b makes the following equation true
Svetradugi [14.3K]

Answer:

  2. 10

  3. D.  1 for all n

Step-by-step explanation:

2. The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^b = 1/a^-b

__

  \dfrac{4^8}{(4^2)^{-3}}\div 4^4=\dfrac{4^8}{4^{-6}\cdot4^4}=\dfrac{4^8}{4^{-2}}\\\\=4^8\cdot4^2=4^{10}

The value of n is 10.

__

3. Using the above rules of exponents, the expression simplifies to ...

  6^(-n+n) = 6^0 = 1

The value is 1 for any n.

4 0
2 years ago
Solve for xxx. Enter the solutions from least to greatest. x^2 +7=43x 2 +7=43x, squared, plus, 7, equals, 43 \text{lesser }x =le
vaieri [72.5K]

Answer:

Step-by-step explanation:

x²+7=43x

x²-43x+7=0

x=\frac{43 \pm \sqrt{(43)^2-4(1)(7)} }{2(1)} \\=\frac{43 \pm \sqrt{1849-28} }{2} \\=\frac{43 \pm \sqrt{1821} }{2} \\\approx \frac{43 \pm 42.673}{2}\\\approx 0.1635,42.8365

4 0
3 years ago
State the domain of the relation R{(-3,3), (1,1), (0,2),(1,-4),(5,-1)} and then State the range of the relation R={(-3,3), (1,1)
harina [27]
The range is the Y value and the Domain is the X value.
6 0
2 years ago
Terri has $ 60 to spend at the carnival . It will cost her $ 5 to enter the carnival and $ 1.25 per ride . The solution to which
cestrela7 [59]
Subtract 60-5 which would be 55, then divide 55 by 1.25 which would be 44 rides
3 0
2 years ago
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