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Jobisdone [24]
2 years ago
6

What is the slope of the line passing through the points (1, 2) and (5, 4)? A .−2 B.12 C.1 D.2

Mathematics
1 answer:
LekaFEV [45]2 years ago
3 0

Answer:

B, 1/2

Step-by-step explanation:

The equation for slope of line is \frac{y_{1}-y_{2}}{x_{1}-x_{2}} = \frac{4-2}{5-1}= \frac{2}{4}  = \frac{1}{2} , B

<em>I hope this helps! :)</em>

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A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of
anzhelika [568]

9514 1404 393

Answer:

  205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

  A = LW

  7585 = (6w-17)(w)

  6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

  x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}

The width is 37 feet, so the length is ...

  6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.

8 0
3 years ago
Rewrite the equation in standard form by expanding it. <br> y= 3 (x+2)^2 - 4
morpeh [17]

Answer:

y = 3x^2 + 12x + 8

Step-by-step explanation:

To rewrite in standard from by expanding the equation using the distributive property.

y= 3 (x+2)^2 - 4

y = 3(x^2 + 4x + 4) - 4

y = 3x^2 + 12x + 12 - 4

y = 3x^2 + 12x + 8

4 0
3 years ago
Write the expression 3*3*3*3*3 in exponential notation
makvit [3.9K]

Answer:

3^5

Step-by-step explanation:

becuase 3*3*3*3*3

8 0
3 years ago
Read 2 more answers
Solving Quadratic Systems
Vitek1552 [10]
Did you right the question is that an online pic
5 0
3 years ago
A colony of bacteria is growing exponentially according to the function below, where t is in hours. About how many hours will it
Ivenika [448]
The function is:
B ( t ) = 4 * e^(0.8 t)
4 * e^(0.8 t) = 400
e^(0.8 t) = 400: 4
e^(0.8 t) = 100   / ln
ln e^(0.8 t) = ln 100  ( and since: ln e = 1 and ln e^x = x * ln e )
0.8 t = 4.6
t = 4.6 : 0.8 = 5.76 ≈ 6
Answer:
D ) 6 hours.
4 0
3 years ago
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