Answer:
The numbers are
and
Step-by-step explanation:
Let
x -----> the smaller positive real number
y -----> the larger positive real number
we know that
A positive real number is 2 less than another
so

----> equation A
When 4 times the larger is added to the square of the smaller, the result is 49
so
----> equation B
substitute equation A in equation B

solve for x

The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
so
The positive real number is
Find the value of y

Answer:
It is first one
Step-by-step explanation:
Answer:
2800m
Step-by-step explanation:
Assumption:
Start point from which Percy Cod walks is "x"
If he walks around a perimeter that is the shape of a rectangle,
Length of area = L = 1000m
Width of area = W = 400m
Distance around the rectangle = D = 2 * (L + W)
D = 2 * (400+1000)
D = 2 * 1400
D = 2800m
The number of the cupcakes sold that day that were vanilla flavored is 172.
<h3>How do we calculate a number from a percentage?</h3>
The number of the cupcakes sold that day that were vanilla flavored can be calculated using the following formula:
Number of vanilla flavored cupcakes sold = Total number of cupcakes sold * Percentage that were vanilla flavored .............. (1)
Substituting the relevant values into equation (1), we have:
Number of vanilla flavored cupcakes sold = 400 * 43% = 172
Learn more about percentages here: brainly.com/question/14801224.
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Answer:
y = x + 6
Step-by-step explanation:
The y-intercept is (0, 6). This is where the line crosses the y-axis.
The slope is 4/4, or 1: m = 1
The equation of the line is therefore y = x + 6