Answer: 100 inches
Step-by-step explanation: To solve this you have to know the surface area formula for a square prism which is 2a^2+4ah where a is an edge of the base and h is the height. Since 4.25 is the height, we just have to find a base edge. Since the base has an area of 16 inches and it is a square that has all equal sides, we know the base edge is 4 (4 times 4 =16). Now if you plug 4 in for a and 4.25 in for h, you get 100.
Using the discriminant of a quadratic equation, it is found that the quadratic equation would have one repeated solution for m = -3.
<h3>What is the quadratic equation?</h3>
The quadratic equation is given as follows:
mx² + 12x - 12.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
The discriminant is:
The solutions are as follows:
- If , it has 2 real solutions.
- If , it has 1 real solutions.
- If , it has 2 complex solutions.
For this problem, the coefficients are:
a = m, b = 12, c = -12.
Hence the discriminant is:
b² - 4ac = 144 + 48m.
We want it to be of 0, hence:
144 + 48m = 0
m = -144/48
m = -3.
More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811
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Answer:
the numbers are 77 and 79
Step-by-step explanation:
so the 2 numbers are
x and x+2
so
x+x+2=156
subtract 2 from both sdies
2x=154
divide by 2
x=77
Answer:
10
Step-by-step explanation:
40 × 0.25 = 10
hope it's helpful
The answer correct answer is 80.5