Answer:

Step-by-step explanation:
Given expression:

Substitute

into the expression:

answer is -1 < x < 5
-|x - 2|+ 9 > 6
Rearrange the terms
-|x - 2| > 6 - 9
-|x - 2| > - 3
then divide both sides of the inequality by the co- efficient of variable
|x - 2| < 3
convert the absolute inequality to standard inequality
-3 <x - 2 < 3
separate compound inequalities into system of inequality
{x - 2}> -3
{x - 2 < 3}
Rearrange variable to the left side of the equation
x > -3 + 2
calculate the sum or difference
x > -1
x -2 < 3
Rearrange variable to the left side of the equation
x < 3 + 2
calculate the sum or difference
x < 5
x > -1 and x < 5
Find intersection
-1 < x < 5
Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are deemed equal which is shown by the symbol =. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
learn more about inequality equation here :https://brainly.in/question/15934172
SPJ9
Answer:
49
Step-by-step explanation:
Let x be unknown number which should be added to numbers 1, 11, 23 to get geometric progression. Then numbers 1 + x, 11 + x, 23 + x are first three terms of geometric progression.
Hence,

and

Express q:

Solve this equation. Cross multiply:

Answer:
(y - 6) = 3/5(x - 5)
Step-by-step explanation:
First, let's look at what point-slope form is: (y - y₁) = m(x - x₁)
Let's plug in the vallues we know.
m is the slope: 3/5
x₁ is 5
y₁ is 6
Therefore:
(y - 6) = 3/5(x - 5)
This is your equation.
Hope this helps!
Answer:
5 is the hight
Step-by-step explanation: