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Kobotan [32]
3 years ago
9

Find m and b of y

Mathematics
1 answer:
k0ka [10]3 years ago
5 0

Answer:

m = 2.25

b = 4.15

Step-by-step explanation:

Let us consider the points (1, 6.4) & (3, 10.9)

Slope (m) = (10.9 - 6.4)/(3 - 1) = 4.5/2 = 2.25

Now, by point slope formula of a line, we have:

y - y_1 = m(x - x_1)

\therefore y - 6.4 = 2.25(x - 1)

\therefore y - 6.4 = 2.25x - 2.25

\therefore y = 2.25x - 2.25+6.4

\therefore y = 2.25x + 4.15

Equating it with y = mx + b, we find:

m = 2.25

b = 4.15

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Omg this is too hard, which is this one?
Juli2301 [7.4K]
Hi there!
So, to start you have to convert cups into ounces.
1 cup is 8 fluid ounces, so 3 cups are 8*3 which are 24 fluid ounces.
So, if she filled x amount of 2-ounce containers, then it would be 24/2 which are 12 containers that are full.

The answer is C) 12.


Hope it helps!

5 0
3 years ago
Write the slope-intercept form of the equation that passes through the point (-3, 5) and is perpendicular to the line y = 1/5x +
aleksley [76]

Answer:

<h2>y = -5x - 10</h2>

Step-by-step explanation:

\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================

\text{We have}\ y=\dfrac{1}{5}x+10\to m_1=\dfrac{1}{5}\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{5}}=-5.\\\\\text{Put the value of a slope and the coordinates of the point (-3, 5)}\\\text{to the equation}\ y=mx+b:\\\\5=-5(-3)+b\\5=15+b\qquad\text{subtract 15 from both sides}\\-10=b\to b=-10\\\\\text{Finally:}\\\\y=-5x-10

7 0
3 years ago
Eight thirds divided by six seventh
Crank

Answer:

I believe it is 16/7 or 2 2/7

3 0
3 years ago
Which of the following does not influence the consumer when he or she is deciding whether or not to buy a product?
Ad libitum [116K]

Answer:external factor

Step-by-step explanation:

8 0
3 years ago
QUESTION 1) Line M passes through the points (-4, -11) and (3, 3). Line N passes through the points (5, -2) and (-6, 9). Which o
7nadin3 [17]

Answer:

Yes, lines M and N intersect because their slopes are different.

Step-by-step explanation:

First, we can start out by finding the slope of Line M and Line N. The slope formula is (y_2 - y_1)/(x_ 2- x_1)

Slope of Line M:

(3--11) / (3--4)

(3+11) / (3+4)

14/7

2

Now we know that the slope of Line M is 2.

Slope of Line N:

(9--2) / (-6-5)

11/-11

The slope of Line N is -1!

Since the slopes of Line N and M are different, they intersect. The answer is Yes, lines M and N intersect because their slopes are different.

If the slopes were the same, Line N and M would NEVER intersect because they are parallel.

Hope this helps

4 0
3 years ago
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