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Masteriza [31]
3 years ago
14

What is the equation in slope-intercept form of the line that passes through the points (-4, 2) and (12, 6)? ​

Mathematics
1 answer:
BartSMP [9]3 years ago
8 0

Answer:

Step-by-step explanation:

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What is the vertex of the graph of the function below? <br><br>y = x2 + 8x + 12
Vera_Pavlovna [14]
Hello, 

The\,\,formula\,\,for\,\,the\,\,vertex\,\,of\,\,a\,\,quadratic\,\,equation\,\,is:  \\  V=( -\frac{b}{2a},f(-\frac{b}{2a}) )

That means that we must first obtain x, then we replace x in the function to get y, so:

x=- \frac{b}{2a}  \\  \\ x=- \frac{8}{2*(1)}  \\  \\ \boxed{x=-4} \\  \\ Reeplacing \,\,x: \\ y=(-4)^{2} +8*(-4)+12 \\ y=16-32+12 \\ \boxed{y=-4}

Answer: V=(-4 , -4)
5 0
3 years ago
Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side
svp [43]
A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
      = (7 - 5) ÷ 2
      = 2 ÷ 2
      = 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²) 
      = √(5² - 1²)
      = √(25 - 1)
      = √24
      = 2√6

Last, we have all the information needed in order to calculate the area by the formula:

A =  \frac{(AB + CD)DH}{2}

A = (7 + 5) × 2√6 ÷ 2
   = 12√6

The area of the regular trapezoid is 12√6 square units.

7 0
3 years ago
Total cost of three shirts $25.99 each with sales tax of 5.5%
irakobra [83]
3 shirts at 25.99 each : 3 * 25.99 = 77.97
plus sales tax of 5.5% : 77.97 + .055(77.97) = 77.97 + 4.29 = 82.26
6 0
3 years ago
Read 2 more answers
Let p= x^2-7.
Advocard [28]

Since p = x² - 7, you can substitute/plug in p for x² - 7

So:

(x² - 7)² - 4x² + 28 = 5

(p)² - 4x² + 28 = 5      You can factor out -4 from (-4x² + 28)

p² - 4(x² - 7) = 5        Plug in p

p² - 4p = 5        Subtract 5

p² - 4p - 5 = 0        Your answer is C

8 0
3 years ago
How to convert 80 kg = g
Svetllana [295]

Answer:

It would be 8000g.

Step-by-step explanation:

This is as the 'kilo' in 'kilograms' means thousand, so you times by 1000 to get kilograms into grams and divide by 1000 to get grams into kilograms, i hope this helps

5 0
3 years ago
Read 2 more answers
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