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beks73 [17]
3 years ago
6

Solve the equation for x, where x is a real number (5 points): -5x^2 + 7x + 41 = 32

Mathematics
1 answer:
wel3 years ago
6 0
Subtract 32 to both sides to the equation becomes -5x^2 + 7x + 9 = 0.

To solve this equation, we can use the quadratic formula. The quadratic formula solves equations of the form ax^2 + bx + c = 0
                   x = [ -b ± √(b^2 - 4ac) ] / (2a)
                   x = [ -7 ± √(7^2 - 4(-5)(9)) ] / ( 2(-5) )
                   x = [ -7 ± √(49 - (-180) ) ] / ( -10 )
                   x = [ -7 ± √(229) ] / ( -10)
                   x = [ -7 ± sqrt(229) ] / ( -10 )
                   x = 7/10 ± -sqrt(229)/10
The answers are 7/10 + sqrt(229)/10 and 7/10 - sqrt(229)/10.
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Allushta [10]

Answer:

Step-by-step explanation:

We can use Hypotenuse Theorem for this:

For triangle ABC,

AC²=CB²+BA²

9²=CB²+3²

Switch the sides

-CB²=3² -9²

-CB²= 9-81

-CB²= -72

the signs cut each other

CB²=72

the square changes sides

CB=√72

CB= 8.49 cm

Now triangle CBD

We have the length of CB but not the other two whereas we have the angle

It will be sin

As we know sin= O/H

Here O is CB whereas H is CD

Put the values

sin 50= 8.49/H

H= 8.49 ÷sin 50

Calculate

H=11.1 cm

As we know H is CD so CD is 11.1 cm

Hope it helps

8 0
2 years ago
Convert 5 feet to inches. There are 12 inches in 1 foot.
cupoosta [38]

Answer:D

Step-by-step explanation:

1

12

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7 0
3 years ago
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Emma ran 3 miles in 27 minutes how long would it take her to run 5 miles?
Marizza181 [45]
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4 0
3 years ago
Scarlett Squirrel teaches a hula dancing class to young squirrels. 141414 squirrels showed up to class on Monday, 101010 squirre
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Answer:

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Step-by-step explanation:

add all of the numbers together

divide by 5 since there are 5 numbers

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3 0
3 years ago
827 divided by 1120
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