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Marat540 [252]
2 years ago
11

Use the quadratic formula to find both solutions to the quadratic equation

Mathematics
1 answer:
Anna71 [15]2 years ago
7 0

Answer:

-\frac{5}{2} ;1.

Step-by-step explanation:

2x² + 3x-5=0;

\left[\begin{array}{ccc}x=\frac{-3-\sqrt{3^2+4*5*2}}{2*2} \\x=\frac{-3+\sqrt{3^2+4*5*2} }{2*2} \end{array} \ = > \ \left[\begin{array}{ccc}x=-\frac{5}{2} \\x=1\end{array}

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D = 0.5gt^2
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g = 2d/t^2

when t = 10 s, and d = 490 feet,
g = 2(490)/10^2 = 980/100 = 9.8 feet/s
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the cylinders volume is 99pie

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8y and y are like terms. True False
ICE Princess25 [194]

Answer:

True

Step-by-step explanation:

8y and y are like terms. This is because since both values have y they're common

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Andrea recorded the points she scored in her last eight basketball games. What is the mean absolute deviation of the scores
grandymaker [24]
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6 0
3 years ago
A line passes through (10,2) and (14,-22). Write the equation of the line in standard form.
jarptica [38.1K]

Answer:

The equation of the line in standard form is:

6x + y = 62

Step-by-step explanation:

Given the points

  • (10,2)
  • (14,-22)

Determining the slope between (10, 2) and (14, -22)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(10,\:2\right),\:\left(x_2,\:y_2\right)=\left(14,\:-22\right)

m=\frac{-22-2}{14-10}

m=-6

The point-slope form of the line equation is  

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

substituting the values m = -6 and the point (10, 2) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - 2 = -6(x - 10)

y - 2 = -6x +60

adding 2 to both sides

y-2+2 = -6x + 60 + 2

y = -6x +  62

We can write the equation in the standard form such as

Ax + By = C

Thus,

y = -6x +  62

adding -6x to both sides

6x + y = -6x + 62 + -6x

6x + y = 62

Therefore, the equation of the line in standard form is:

6x + y = 62

4 0
3 years ago
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