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dimulka [17.4K]
4 years ago
9

Solve 14n2+32n=−34 by using the quadratic formula. Simplify any fractions. If there are multiple answers, list them separated by

a comma, e.g. 1,2. If there is no solution, enter ∅.
Mathematics
1 answer:
bezimeni [28]4 years ago
7 0

Answer:

Step-by-step explanation:

Hello, first of all we can divide by 2.

7n^2+16n+17=0\\\\\Delta=b^2-4ac= 16^2-4*7*17=-220 < 0 \ \ !!

The discriminant is negative so there is no real solutions.

Thank you.

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What is :<br><br>(49^x)(7^x^2)=2401^2
ludmilkaskok [199]
(49^x)(7 ^{x^2})=2401^2 \\ \\( (7^2)^x)(7 ^{x^2})= (7^4) ^2 \\ \\ 7 ^{2x}\cdot 7^{x^2}=7^{8} \\ \\ 7 ^{2x+x^2} =7^{8} \\ \\2x+x^2 =8

 x^2-2x-8 = 0\\ \\ a=1, \ b=-2, \ c=-8 \\ \\\Delta =b^2-4ac = (-2)^2 -4\cdot1\cdot (-8) = 4 +32 =36 \\ \\x_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{2-\sqrt{36}}{2 }=\frac{ 2-6}{2}=\frac{-4}{2}=-2 \\ \\x_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{2+\sqrt{36}}{2 }=\frac{ 2+6}{2}=\frac{8}{2}= 4 \\ \\Answer: \ x=-2 \ \ or \ \ x=4

7 0
3 years ago
Read 2 more answers
Line BD is tangent to circle O at C, Arch AEC = 299, and ACE = 93. Find Angle DCE.
VladimirAG [237]
In triangle ACE,
we know C=93,E can be calulated by using arch angle AEC...what ever that is....,using this we get  A=180-(E+93)

So, by alternate segment theorem, DCE= A.

thats all i can say.
7 0
3 years ago
Determine whether each number is prime, composite, or neither.
givi [52]
Alright lets start by defining both prime and composite.

A natural number that has exactly two factors, one and itself, is called a prime number.
And natural number, other than one, that is not prime, is composite.

So lets start on #1: 8. We should know right off the bat that this is an even number and therefore can be divided by 2 (8/2=4). Since 8 is not one, we know that it is a composite number.

On #2 the number is 13. Now try some random numbers (2,3...) and you will find that nothing will give you a whole number (other than one). This means this number is prime.

#3 is the number 24 which is also even and can be divided by two, therefore is it composite.

33 is the number on #4. Now this one you should look at and realize that it can be divided by 11. Any two numbers that are the same (11, 22, 33, 44, 55...) can be divided by 11. This number is composite.

#5, the last one, is number 89. 89 is not a composite number, because it's only divisors are one and itself. This would make is a prime number.

Sorry this was kinda long, but I hope it helps! If you have any questions, feel free to ask!
4 0
4 years ago
I will give an easy Brainliest! Thank you! :D​
zavuch27 [327]

Answer:

r (100) = 10*p (10)

Step-by-step explanation:

r= 100 pieces of candy

10=10

p=10 pieces of candy

r (100) = 10*p (10)

4 0
3 years ago
A cylindrical tank holds about 615.44
djyliett [7]

Answer:

The height is 15.992 in

Step-by-step explanation:

1. The equation for a cylinder is V=\pi r^2h.  In this case, the equation looks like 615.44=\pi (3.5)^2h

2. Isolate h by dividing both sides of the equation by \pi (3.5)^2

3. This leaves us with \frac{615.44}{\pi (3.5)^2}=h

4. Solve for the left side, which leaves us with h = 15.992 (rounded to the nearest thousandth)

4 0
2 years ago
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