Answer:
y=-49
Step-by-step explanation:
The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
The equation in slope intercept form is,
. The given equation is obtained by comparing the standard equation of the straight line.
<h3>What is a slope of a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
The given equation is;
1.25 (25) = 31.25
31.25=1.25 (25)
The standard equation of the slope intercept form. is;
On comparing the given equation with the above equation, we get;
y=31.25
m=1.25
x=25
c=0
The equation in slope intercept form is;
Hence, the above equation is the slope intercept form.
Learn more about the slope of the straight line;
brainly.com/question/3493733
#SPJ1
Answer:
Step-by-step explanation:
<u>Rule for rounding:</u>
- Round up if number is between 5 and 9
- Round down if number is between 0 and 4
<u>What numbers in hundredths can be rounded to 14.5?</u>
and
<u>From above we see that:</u>
- The greatest decimal is 14.54
- The least decimal is 14.45
