X^2 + 6x = -2 is a quadratic equation that can be solved by completing the square.
x^2 + 6x + (6/2)^2 - (6/2)^2 = -2
Rewriting this, (x+3)^2 = -2 + (6/2)^2 = -2 + 9 = 7
tAKING THE sqrt f both sides, we get x+3 = plus or minus 5.
Finally, x = -3 plus or minus 5, which boils down to x=2 and x= -8.
A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct statement is A.
<h3>What is a graph?</h3>
A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
As per the graph of the mechanic, the statement that best describes the relationship between the labor cost and the time for a car repair is that All repairs requiring 1 hour or less have the same labor cost.
Hence, the correct statement is A.
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Answer:
Step-by-step explanation:
I put incorrect
Second box is 4
And third box is 4
And fourth box is 1/12
The equation of a line that is perpendicular to the given line is y = –4x – 16.
Solution:
The equation of a line given is y = 0.25x – 7
Slope of the given line(
) = 0.25
Let
be the slope of the perpendicular line.
Passes through the point (–6, 8).
<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>




Point-slope intercept formula:

and 
Substitute these in the formula, we get



Add 8 on both sides of the equation.


Hence the equation of a line that is perpendicular to the given line is
y = –4x – 16
The time it will take the thermometer to hit the ground is 22 seconds
<h3>Calculating Time </h3>
From the question, we are to determine the how long it would take the thermometer to hit the ground
From the given information,
The equation for the height as a function of time is
h(t) = -16t² + initial height
From the given information,
The thermometer falls from a weather balloon at a height of 7744 ft
∴ Initial height = 7744 ft
When the thermometer hits the ground, h(t) = 0
Thus, we get
0 = -16t² + 7744
16t² = 7744
t² = 7744/16
t² = 484
t = √484
t = 22 seconds
Hence, the time it will take the thermometer to hit the ground is 22 seconds
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