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Korolek [52]
3 years ago
9

Mai uses Triangle A and says the slope of this line is `\frac{6}{4}.` Elena uses Triangle B and says no, the slope of this line

is `1.5.` Do you agree with either of them? Explain.
Mathematics
1 answer:
nikdorinn [45]3 years ago
8 0

Answer:

I agree with both of them because they are both correct

Step-by-step explanation:

See attachment for complete question;

Slope (m) is calculated using the following formula:

m = \frac{Rise}{Run}

Where

Rise = Vertical\ Distance

Run = Horizontal\ Distance

From the attachment, we have the following:

Triangle A

Rise = 6\ units

Run = 4\ units

So:

m = \frac{Rise}{Run}

m = \frac{6}{4}

<em>In this case, Mai is correct:</em>

Triangle B

Rise = 1.5\ units

Run = 1\ units

So:

m = \frac{Rise}{Run}

m = \frac{1.5}{1}

m = 1.5

<em>In this case, Elena is also correct:</em>

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<span> The quadratic formula says that any quadratic equation of the form ax^2 + bx + c, then
x=(-b ± √(b^2 - 4ac))/2a, and so because of the square root, theres obviously going to be no x-intercepts if b^2 - 4ac is negative, one x-intercept if its zero, or two if its positive. So to calculate the discriminant, which is whether it has an intercept, no intercepts or two intercepts is:
∆=b^2 - 4ac, where delta, the greek equivalent of D, is used to represent the discriminant.
In the above equation a=-4, b=3 and c=-2, so
∆=3^2 - 4*-4*-2=9 - 32=-23, so because the discriminant is negative, then there are no x-intercepts.








This is from
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7 0
3 years ago
Given: f(x) = 3 - x; g(x) = -2x<br><br> Find g[f(-1)].
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G[f(-1)]
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8 0
3 years ago
Write an equation of the line in slope-intercept form. y=
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3 years ago
2/3 + (-5/7)<br><br><br><br> .........
dmitriy555 [2]

Answer:

-1/21

Step-by-step explanation:

2/3 + -5/7

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14/21 - 15/21 = -1/21

4 0
3 years ago
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The number of bacteria, B, in a refrigerated food is given by the function b(t) = 15t2 - 60t + 125, where t is the temperature o
Nimfa-mama [501]

Answer: b(t(h))=135h^2+180h+125


Step-by-step explanation:

Given: The number of bacteria, B, in a refrigerated food is given by the function  b(t)=15t^2-60t+125 , where t is the temperature of food in degrees Fahrenheit.

The function t(h)=3h+4 gives the temperature, t, of the food h hours after being removed from the refrigerator.

Now, the number bacteria in the food in h hours is given by:-

b(t(h))=15(3h+4)^2-60(3h+4)+125\\=15(9h^2+16+24h)-180h-240+125\\=135h^2+240+360h-180h-240+125\\=135h^2+180h+125

So, The number bacteria in the food in h hours is given by:

b(t(h))=135h^2+180h+125


4 0
3 years ago
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