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nydimaria [60]
3 years ago
9

Solve the inequality: 2x - 7<-5 or 10x + 5 >85

Mathematics
1 answer:
Mila [183]3 years ago
7 0

Answer:

Step-by-step explanation:

hi its me addison ray

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Construct a line from A perpendicular to the y-axis, determine the distance from A to the y-axis along this perpendicular line, find a new point on the other side of the y-axis that is equidistant from the y-axis.

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Which of these lines is perpendicular to the line 5y = -6x + 2?
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Answer:6y= -5x + 3

Step-by-step explanation:

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3627

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Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inch
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2. Using Vièta's theorem, find the solutions to the equation. a) x^2 - 3x + 2 = 0 b) x^2 + 2x - 15 = 0.
olga_2 [115]

Given:

\begin{gathered} x^2-3x+2=0 \\ x^2+2x-15=0 \end{gathered}

Required:

We need to find the solution by Vièta's theorem.

Explanation:

Compare 1st equation with

ax^2+bx+c=0

we get

\begin{gathered} a=1 \\ b=-3 \\ c=2 \end{gathered}

Vièta's theorem is

\begin{gathered} x_1+x_2=-\frac{b}{a} \\ x_1x_2=\frac{c}{a} \end{gathered}

\begin{gathered} x_1+x_2=3 \\ x_1x_2=2 \end{gathered}

now solve this equation and we get

\begin{gathered} x_1=1 \\ x_2=2 \end{gathered}

because addition of 1 and 2 is 3 and multiplication is 2

Now for 2nd equation

\begin{gathered} a=1 \\ b=2 \\ c=-15 \end{gathered}

apply Vièta's theorem

\begin{gathered} x_1+x_2=-2 \\ x_1x_2=-15 \end{gathered}

by this

\begin{gathered} x_1=3 \\ x_2=-5 \end{gathered}

because addition of 3 and -5 is -2 and multiplication is -15

8 0
1 year ago
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