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3 years ago

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.

I believe this is the answer

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3 years ago

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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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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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4 years ago

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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

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1 year ago