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marishachu [46]
3 years ago
7

Solve x^2 – 8x + 41 = 0 for x.

Mathematics
1 answer:
icang [17]3 years ago
5 0
<span>\displaystyle x^2 - 8x + 41 = 0 \\\\ \Delta=b^2-4ac \\ \Delta=(-8)^2-4\cdot1\cdot41 \\ \Delta=64-164 \\ \Delta=-100 \\ \\ X_{1,2}= \frac{-b\pm i \sqrt{-\Delta} }{2a} = \frac{8 \pm 10i}{2} \\ \\ X1=4-5i \\ \\ X2=4+5i</span>
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PLEASE HELP!! WILL GIVE BRANLIEST
stepladder [879]
The equation for this is ; y=1/2(x+4)^2-1

Explain

we use the vertex form
y=a(x-h)^2+k where the vertex is (h,k)

Select ( -4,-1)


Where h=-4
K=-1


y=a(x-h)^2+k

We get

y=a(x-(-4))^2+ -1

Y= a(x+4)^2+-1

Now replace to 0,7

7=a(0+4)^2-1

7=a(4)^2-1

7=16a-1


So now

7=16a-1
7+1=16a

8=16a
a=8/16
That should 1/2

So y=a(x+4)^2 -1
Should become

Y=1/2(x+4)^2 -1



Do you have any doubts now !
3 0
2 years ago
What is the distance between -13 and 13 on a number line?
Svetllana [295]
D. 26

-13________0________13

This distance here is 26 (clearly, since it can't be negative or zero)

Hope this helps
4 0
2 years ago
Read 2 more answers
Twelve more than 3 times a number is more than the opposite of 11
aleksley [76]

Answer: n > \frac{-23}{3}

Step-by-step explanation:

1. So, to understand this you need to understand that the opposite of 11 is -11.

2. Use the formula 3n+12>-11.

3. Subtract 12 from both sides (3n>-23)

4. Divide by 3 on both sides. (n>\frac{-23}{3})

5. You can go a step further and simplify into -7\frac{2}{3}.

6. n > \frac{-23}{3}

6 0
3 years ago
Read 2 more answers
Solve the system of equations below. <br> 5x + 2y = 9<br> 2x - 3y = 15
riadik2000 [5.3K]

Answer:

(3,-3)

y= -3

x= 3

Step-by-step explanation:

5x+2y=9

2x-3y=15

solve the equation

x=9/5-2/5y

2x-3y=15

substitute the value of x into an equation

2(9/5-2/5y)-3y=15

distribute

18/5-4/5y-3y=15

subtract -4/5 to -3

18/5-19/5y=15

subtract 18/5 from both sides

-19/5=57/5

divide both sides by -19/5

y= -3

substitute the value of y into an equation

x=9/5-2/5(-3)

distribute

x=9/5+6/5

add 9/5 to 6/5

x=3

--------

(3,-3)

--------

3 0
3 years ago
What is the area, in square inches, of the rectangle below?
chubhunter [2.5K]
The answer would be D i believe
6 0
2 years ago
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