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masha68 [24]
2 years ago
12

The equation of a line is given by, 13x – y + 12 = 0. Find the slope and both the intercepts.​

Mathematics
1 answer:
MArishka [77]2 years ago
3 0

Answer:

The slope is 13.

The x intercept is x=\frac{-12}{13}.

The y intercept is y=12.

Step-by-step explanation:

1. Finding the slope.

This is a linear equation, because <u>it's graph forms a line</u>. In a linear equation, the slope is always the value that multiplies x. In this case, x is being multiplied by 13, therefore, <u>the slope is 13</u>.

2. Finding the x intercept.

The x intercept is found when the value of y is 0. Let's replace the value of y for 0 in the equation and solve the x:

13x-y + 12 = 0\\\\13x-(0) + 12 = 0\\\\13x+12 = 0\\\\13x= -12\\\\x=\frac{-12}{13}

<u>The x intercept is </u>x=\frac{-12}{13}<u>.</u>

3. Finding the y intercept.

The y intercept is found when the value of x is 0. Let's replace the value of x for 0 in the equation and solve the y:

13x-y + 12 = 0\\\\13(0)-y + 12 = 0\\\\-y + 12 = 0\\\\-y=-12\\\\y=12

<u>The y intercept is </u>y=12<u>.</u>

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Hi can some please help?
Oduvanchick [21]
So I'm assuming that you're taking Calculus.
The first thing you want to do is take the integral of f(x)...
Use the power rule to get:
4X^2-13X+3.
Now solve for X when f(x)=0. This is because when the slope is 0, it is either a minimum or a maximum(I'm assuming you know this)
Now you get X=0.25 and X=3. Since we are working in the interval of (1,4), we can ignore 0.25
Thus our potential X values for max and min are X=1,X=4,X=3(You don't want to forget the ends of the bounds!)
Plugging these value in for f(x), we get
f(1)=2.833
f(3)=-8.5
f(4)=1.667
Thus X=1 is the max and X=3 is the min.
So max:(1,2.833)
min:(3,-8.5)

Hope this helps!
3 0
3 years ago
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.47 and a standard deviation of 1.5. U
alex41 [277]

Answer:

2.5% of American women have shoe sizes that are greater than 11.47.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.47

Standard deviation = 1.5

The normal distribution is symmetric, which means that half the measures are below the mean, and half are above the mean.

What percentage of American women have shoe sizes that are greater than 11.47?

11.47 = 8.47 + 2*1.5

This means that 11.47 is two standard deviations above the mean.

Of those measures below the mean, none are greater than 11.47.

Of those measures above the mean, 95% are between the mean and 11.47, and 5% are above. So

0.5*0.05 = 0.025

2.5% of American women have shoe sizes that are greater than 11.47.

8 0
3 years ago
What is 232and1/4-129and7/8?
Elanso [62]
232 \frac{1}{4} - 129 \frac{7}{8} 
The answer is: 102  \frac{3}{8}
5 0
3 years ago
When atoms combine the force of attraction that holds them together is a:
alisha [4.7K]
This is referred to as a Chemical Bond.
7 0
3 years ago
Use Heron's formula to find the area of the triangle. Round to the nearest square foot.
Sphinxa [80]

Answer:

A ≈ 2 ft²

Step-by-step explanation:

The area (A) of a triangle using Heron's formula is

A = \sqrt{s(s-a)(s-b)(s-c)}

where s is the semiperimeter and a, b , c the sides of the triangle.

s = \frac{a+b+c}{2} = \frac{4+4+1}{2} = \frac{9}{2} = 4.5

Then

A = \sqrt{4.5(4.5-4)(4.5-4)(4.5-1)}

   = \sqrt{4.5(0.5)(0.5)(3.5)}

   = \sqrt{3.9375}

   ≈ 1.9843...

   = 2 ft² ( to the nearest square foot )

8 0
2 years ago
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