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Novay_Z [31]
3 years ago
11

One solution to a quadratic function, h, is given.

Mathematics
1 answer:
Margaret [11]3 years ago
7 0

Answer:

B. The other solution to function h is -4-i\,7.

Step-by-step explanation:

From Algebra, we remember that quadratic functions of the form a\cdot x^{2}+b\cdot x + c has solutions of the form:

x = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}, where both are complex if and only if \sqrt{b^{2}-4\cdot a \cdot c}< 0.

Hence, if one solution of the quadratic function is -4+i\,7, then the other solution is -4-i\,7. The correct answer is B.

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One side of triangle is 4 4 times the shortest side. The third side is 23 23 feet more than the shortest side. The perimeter is
jasenka [17]

Answer:

9, 32 and 36

Step-by-step explanation:

The perimeter of a triangle is the sum of all the sides.  Since you know the perimeter and the expressions for each of the sides, you can set up an equation to solve for the variable and find the values of the other sides:

one side: '4 times the shortest side' = 4s

shortest side: 's'

third side: '23 more than the shortest side' = s + 23

perimeter  = 77

Equation:  4s + s + (s + 23) = 77

Combine like terms:  6s + 23 = 77

Subtract 23 from both sides:  6s + 23 - 23 = 77 - 23 or 6s = 54

Divide by 6:  6s/6 = 54/6 or s = 9

one side: 4s = 4(9) = 36

shortest side: s = 9

third side: s + 23 = 9 + 23 = 32

3 0
3 years ago
What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points) Blank 1:
Alex

Hey there!

This is a one-step equation, meaning that we can solve it in one step.

This is the step:

  • Subtract 14 from both sides

Goal:

  • To find out the value of x

Subtract 14:

x+14-14=63-14

the 14's on the left cancel:

x=49

Hence, the answer is

\boxed{\boxed{\bold{x=49}}}

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

\rule{200}{2}

7 0
2 years ago
What is area? How do you find the area of a rectangle?
Savatey [412]

Answer:

The extent or measurement of a surface or piece of land is called area.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

Step-by-step explanation:

Hope this will help you

please make me as a brainliest

6 0
2 years ago
Read 2 more answers
The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting
Stolb23 [73]

Answer:

1. 0.1635

2. 0.0026

Step-by-step explanation:

The computation of the probability in the following cases are as follows:

1.

Given that

Mean = 25 minutes

ANd, the standard deviation is 6.1 minutes

So here the z score would be

= (31 - 25) ÷(6.1)

= 0.98

Now the probability is

= P(Z>0.98)

= 0.1635

2. the z score would be

= (8 - 25) ÷(6.1)

= -2.79

Now the probability is

= P(Z<-2.79)

= 0.0026

7 0
3 years ago
This is for my sister
ELEN [110]

Answer:

Large umber is 11, small one 7

Step-by-step explanation:

11- 4 =7

7+11=18

5 0
2 years ago
Read 2 more answers
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