Answer:
480 bread rolls
Step-by-step explanation:
For 8 muffins, 6 bread rolls are sold.
This implies for every muffin, bread rolls are sold.
Hence for 640 muffins, they sold 640 ×
= 480 bread rolls.
X^2 - 6x + 40 = x + 5
Solution for quadratic equation
Subtract 40 from both sides.
x^2 - 6x + 40 - 40 = x + 5 - 40
= x^2 - 6x = x - 35
Subtract x from both sides.
x^2 - 6x - x = x - 35 - x
= x^2 - 7x = -35
Rewrite the equation in the form
(x + a)^2 = b
(x - 7/2)^2 = - 91/4
Answer
x = 7/2 + sqroot 91/2,
x = 7/2 - sqroot 91/2
Solution to simplify
Group like terms
x^2 - 6x + 40 = x + 5
x^2 - 6x - x = 5 - 40
x^2 - 7 = -35
Answer:
see explanation
Step-by-step explanation:
• Parallel lines have equal slopes
• The slopes of perpendicular lines are the negative reciprocal of each other
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 7x + 2y = 7 into this form
Subtract 7x from both sides
2y = - 7x + 7 ( divide all terms by 2 )
y = - x + ← in slope- intercept form
with slope m = -
Thus
slope of perpendicular line =
slope of parallel line = -
So let's call the missing angles A, B, and C. We know that A + B + C = 180 and we also know that A = B and that C = A + B - 40. So our equation looks like this
180 = 4A - 40 and we add 40 on both sides of the equal sign and get
220 = 4A and we divide on both sides of the equal sign by 4 to get
55 = A So that means B = 55 as well. That means 55 + 55 = 110 and 110 - 40 = 70 So C = 70 and to check, 55 + 55 + 70 = 180.
The measures of the three angles are; 55 degrees, 55 degrees, and 70 degrees.
By applying the relationships between <em>rectangular</em> and <em>polar</em> systems of coordinates we determine that (x, y) = (-3, 0) is equivalent to (r, θ) = (3, π).
<h3>How to convert rectangular coordinates into polar form</h3>
<em>Rectangular</em> coordinates represent a point in terms of <em>orthogonal</em> distances ("horizontal" and "vertical"), whereas the <em>polar</em> coordinates are represented by a distance with respect to origin (r) and a <em>standard</em> angle (θ). There is the following relationship between <em>rectangular</em> and <em>polar</em> systems of coordinates:
(x, y) = r · (cos θ, sin θ) (1)
Where and .
If we know that (x, y) = (-3, 0), then the polar form of the coordinates are:
,
By applying the relationships between <em>rectangular</em> and <em>polar</em> systems of coordinates we determine that (x, y) = (-3, 0) is equivalent to (r, θ) = (3, π).
To learn more on coordinate systems: brainly.com/question/11657509
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