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irakobra [83]
2 years ago
9

The slope-intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered pair, m is the slope of

the line, and b is where the line crosses the y-axis.
Which is an equivalent equation solved for the slope, m?
Mathematics
1 answer:
Yakvenalex [24]2 years ago
6 0
Hey there! First, set up the equation y = mx + b<span>. Next, we're going to subtract b from both sides, leaving us with </span>y - b = mx. After that, divide the equation by x to isolate the variable "m". The answer is y-b / x = m. I hope this helps!
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The center of a hyperbola is (−2,4) , and one vertex is (−2,7) . The slope of one of the asymptotes is 1/2 .
maxonik [38]

Answer:

<h2>The equation is \frac{(y - 4)^{2} }{9 } - \frac{(x + 2)^{2} }{36 } = 1.</h2>

Step-by-step explanation:

The equation of a hyperbola is represented by \frac{(y - k)^{2} }{b^{2} } - \frac{(x - h)^{2} }{a^{2} } = 1, where (h, k) is the center of the hyperbola.

As per the given condition, h = -2 and k = 4.

Thus, the equation becomes \frac{(y - 4)^{2} }{b^{2} } - \frac{(x + 2)^{2} }{a^{2} } = 1.

One vertex is (-2, 7).

Hence, putting x = -2 and y = 7, we get b^{2} = 9.

The slope of the asymptote is \frac{b}{a}.

Hence, \frac{b^{2} }{a^{2} } = \frac{1}{4} \\a^{2} = 36.

Thus, the equation is \frac{(y - 4)^{2} }{9 } - \frac{(x + 2)^{2} }{36 } = 1.

7 0
2 years ago
Nina has x coins. Clayton has 5 fewer coins than six times the number of coins Nina has. Write an expression for the total numbe
DedPeter [7]

Answer:

7x - 5

Step-by-step explanation:

Let

Nina = x coins

Clayton = 6x - 5 coins

Expression for the total number of coins Nina and Clayton have altogether.

Nina + Clayton

= x + (6x - 5)

= x + 6x - 5

= 7x - 5

The correct answer and expression is 7x - 5

7 0
2 years ago
Read 2 more answers
If c (x) = StartFraction 5 Over x minus 2 EndFraction and d(x) = x + 3, what is the domain of (cd)(x)?
Volgvan

Answer:

The domain of the function (cd)(x) will be all real values of x except x = 2.

Step-by-step explanation:

The two functions are c(x) = \frac{5}{x - 2} and d(x) = x + 3

So, (cd)(x) = (\frac{5}{x - 2})(x + 3) = \frac{5(x + 3)}{x - 2}

Then, for x = 2 the function (cd)(x) will be undefined as zero in the denominator will make the function (cd)(x) undefined.

Therefore, the domain of the function (cd)(x) will be all real values of x except x = 2. (Answer)

8 0
2 years ago
Read 2 more answers
Marissa bought 60 horns for her New Year’s Eve party for $83.40.
katovenus [111]

Answer:

We don't have the statements but I can tell you the following info:

Step-by-step explanation:

83.4/60= $1.39 for each horn

18*1.39= $25.02 for the 18 additional horns.

$83.40+25.02= $108.42 for the total 78 horns

3 0
2 years ago
anna can buy 3 sweatshirts for a total of $45.how much would it cost if she were to buy 5 sweatshirts at same price?
Feliz [49]

Answer: Anna could buy 5 sweatshirts for $75.

Step-by-step explanation:

lets figure out the price of one sweatshirt.

45/3 = 15

one sweatshirt is $15

5*15=75

so 5 sweatshirts cost $75

6 0
2 years ago
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