Ten times the sum of three and number is -21. what is the number?
2 answers:
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To answer this, we will need to know:
• The slope of the equation we are trying to get
• The point it passes through using the
First, we will need to find the slope of this equation. To find this, we must simplify the equation
into 
form. Lets do it!
=
(Subtract 3x from both sides)
=
(Divide both sides by 5)
The slope of a line perpendicular would have to multiply with the equation we just changed to equal -1. In other words, it would have to equal the negative reciprocal.
The negative reciprocal of the line given is
.
Now that we know the slope, we have to find out the rest of the equation using the slope formula, which is:
Substituting values, we find that:
By simplifying this equation to slope-intercept form (By cross-multiplying then simplifying), we then get that:
, which is our final answer.
Thank you, and I wish you luck.
• The slope of the equation we are trying to get
• The point it passes through using the
First, we will need to find the slope of this equation. To find this, we must simplify the equation
=
=
The slope of a line perpendicular would have to multiply with the equation we just changed to equal -1. In other words, it would have to equal the negative reciprocal.
The negative reciprocal of the line given is
Now that we know the slope, we have to find out the rest of the equation using the slope formula, which is:
Substituting values, we find that:
By simplifying this equation to slope-intercept form (By cross-multiplying then simplifying), we then get that:
Thank you, and I wish you luck.
The width of the walkaway be 4 feet.
<h3>What is Discriminant Formula?</h3>
The discriminant formula is used to determine the nature of the roots of a quadratic equation. The discriminant of a quadratic equation is D =
If D > 0, then the equation has two real distinct roots.
If D = 0, then the equation has only one real root.
Given that:
also, area of walkaway = 464 square feet.
So,
Using Discriminant method,
a=4, b=100, c=-464
w=
w=
So,
Hence the width of the walkaway be 4 feet.
Learn more about discriminant formula here:
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