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KiRa [710]
2 years ago
14

What is the y-intercept of the line graphed on the grid? A) -1 B) 2 C) -2 D) 1​

Mathematics
1 answer:
GalinKa [24]2 years ago
3 0
-2 is the y-intercept
Hope this helps:)
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Who can solve |x-4| = 21
LenKa [72]

Answer:

|x| = 25

Step-by-step explanation:

Original Equation:

|x - 4| = 21

Just add 4 to both sides

|x| = 25

Hope this helped :)

5 0
3 years ago
Read 2 more answers
Expand the expression: -5(4-7c)​
Ronch [10]

Answer:

-20 + 35c

Step-by-step explanation:

Distribute the -5 in the equation.

5 0
3 years ago
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Use calculus to find the area of the triangle with the vertices (0, 5), (2, -2), and (5, 1).
guajiro [1.7K]

The area of the triangle with the vertices (0, 5), (2, -2), and (5, 1) by using the calculus is  21 square unit.

We need to find the equation among all possible pairs and then integrate the equations from one co-ordinate to another co-ordinate

Equation of line passing through (0,5) and (2,-2) is

y-5 = [(-2-5)/(2-0)](x-0)

=>y-5 = (-7) /2x

=>y= (-7/2x)+5 -------(eq1)

Equation of line passing through (0,5) and (5,1) is

y-5 = [(1-5) / (5-0)](x-0)

=>y-5 = (-4/5)x

=>y = (-4/5)x+5-------(eq2)

Equation of line passing from (2,-2) and (5,1) is

y-(-2) = [[1 - (-2)] / (5-2)] / (x-2)

=>y+2=(3/3)(x-2)

=>y=x-4--------(eq3)

Now, we use definite integration to find the area between the different equation of line.

So, area enclosed between the equations is given by the

area =\int\limits^5_2[(-4/5)x+5 - (-7/2)x + 5)dx  + \int\limits^5_1[(-4/5)x+5 -(x-4)]dx

=>area=\int\limits^5_2(7/2-4/5)x dx + \int\limits^5_1((-9/5)x+9)dx

Using properties of integration,\int\limits x\, dx=x^{2}/2

=>area=\int\limits^5_2(27/10)x dx + \int\limits^5_1(-9/5)x+9)dx

=>area=([27/10)×[5² - 2²])/2 + [ (-9/5)×(5²-1²) ]/2 +9×(5-1)

=>area=(27/20)×(25-4) + (-9/5)×24+9×4

=>area = (27×21)/20 + (-216)/5+ 36

=>area=(567/20) - (216/5) + 36

=>area= [(567-261×4)+(36×20)]/20

=>area=[(567-864)+720]/20

=>area=423/20

=>area=21 square unit.

Hence, area of triangle is 21 square unit.

To know more about area of triangle, visit here:

brainly.com/question/19305981

#SPJ4

4 0
1 year ago
Why is exponential functions important to know when owning a business ?
Ronch [10]

Answer:

You need to know your math!

Step-by-step explanation:

If your gonna start a business you have to know your math, sure you can hire people but people work for cash, so when you start out on your own with your business you need to know your math so you can keep the business running. Hope this helps! :)

4 0
3 years ago
Help!!!!
Feliz [49]

Answer:

<h2>: 7-⁴</h2>

Step-by-step explanation:

<h3>Exponential Form :</h3><h3>(a^m*a^n ) = (a^m+n )</h3>

<h3>7^-6 = 7^-2 * x </h3>

<h3>(only 7^-4 the term that can add to 7^-2 gives </h3><h3>= 7^-6 )</h3>

<h3>7^-6 = 7^-2 + 7^-4 </h3>

<h3> ( a^m*a^n) = ( a^m+n)</h3>
6 0
2 years ago
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