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NISA [10]
3 years ago
9

Write the equation of each line using the given information.

Mathematics
1 answer:
MrRissso [65]3 years ago
4 0

Answer:

See explanation.

Step-by-step explanation:

We need a point and a slope to have a point slope equation.

y-y_{1}=m(x-x_{1})

We need a slope and y-intercept to write in slope intercept form.

y=mx+b

A) y-1=\frac{1}{2}(x+4) or y=\frac{1}{2}x+3

B) y+1=-1(x-2)

C) y-1=0(x-1)

D) y=-3x+8

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3 years ago
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What is (4c)^2d ?<br> c = 5 and d = 8
Arte-miy333 [17]

Answer:

  3200

Step-by-step explanation:

Replace the variables with their values and do the arithmetic.

  (4·5)²·8 = 20²·8 = 400·8 = 3200

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3 years ago
Mathematics I don t understand please help
Fed [463]

Answer:

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

Step-by-step explanation:

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Select the two values of x that are roots of this equation.<br> 2x^2+ 1 = 5x
iren [92.7K]

Answer:

\frac{5+\sqrt{17}}{4},      \frac{5-\sqrt{17}}{4}

Step-by-step explanation:

One is asked to find the root of the following equation:

2x^2+1=5x

Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:

ax^2+bx+c=0

Change the given equation using inverse operations,

2x^2+1=5x

2x^2-5x+1=0

The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:

\frac{-b(+-)\sqrt{b^2-4ac}}{2a}

Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,

\frac{-b(+-)\sqrt{b^2-4ac}}{2a}

\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}

Simplify,

\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}

\frac{5(+-)\sqrt{25-8}}{4}

\frac{5(+-)\sqrt{17}}{4}

Rewrite,

\frac{5(+-)\sqrt{17}}{4}

\frac{5+\sqrt{17}}{4},      \frac{5-\sqrt{17}}{4}

8 0
3 years ago
What is the outlier for the data set?
Gnesinka [82]
The outlier is 9

Explanation

An outlier is a number that is at least 2 standard deviations away from the mean. For example, in the set, 1,1,1,1,1,1,1,7, “7 “would be the outlier.
3 0
2 years ago
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