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3 years ago

X^2+x-5=0 completing the square

1 answer:

3 0

I hope this helps you

x^2+x-5=0

disctirminant = 1^2-4.1. (-5)

disctirminant = 1+20=21

x1= -1+ square root of 21/2

x2= -1- square root of 21/2

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What is the equation of the quadratic function represented by this table?

Schach [20]

Step-by-step explanation:

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

$vertex = (h \: \: \: k)$

from the table

$vertex = ( - 2 \: \: \: 4)$

therefore

$h = - 2 \: \: and \: \: k = 4$

$y = a {(x + 2)}^{2} + 4$

when x= 0, y = 3

$3 = a {(2)}^{2} + 4$

$3 = 4a + 4$

$a = \frac{ - 1}{4}$

therefore equation of the function

$y = - \frac{1}{4} {(x + 2)}^{2} + 4$

3 0

3 years ago

I need help it’s a quiz

solmaris [256]

Answer:

Question 6: 26 crowns plus 15 ribbons.

Question 7: 10 footballs plus 42 basketballs.

Step-by-step explanation:

Question 6 explanation: Since the expression is 22 crowns plus 13 ribbons plus 2 ribbons plus 4 crowns, you can think of the different items as variables in an equation. Picture crowns are the variable $x$ , and ribbons as the variable $y$ , this will help you solve the equation in an easier way that allows you to comprehend each step better. The equation will now be $22x+13y+2y+4x$ , in order to find how many $x$ (crowns) and $y$ (ribbons) you have, you need to combine like terms in the expression. In other words, add the terms with the variable $x$ together, and add the terms with the variable $y$ together. Simplified, the equation will be $26x+15y$ . Since the variables $x$ and $y$ were used to represent crowns and ribbons respectively, that means the correct answer is 26 crowns plus 15 ribbons.

Question 7 explanation: You can use the same method as you did in question 6, think of footballs and basketballs as the variables $x$ and $y$ respectively. The equation will be $16x+38y-6x+4y$ = $10x+42y$ . Since the variable $x$ was used to represent footballs and the variable $y$ was used to represent basketballs, that means the correct answer would be 10 footballs plus 42 basketballs.

4 0

2 years ago

How to solve this using trigonometry?

Leya [2.2K]

Using SOHCAHTOA and Kenui's height and angle of depression (which is the downward angle from the horizontal ) the answer should be:

because its the Adjacent and Opposite sides use Tan;
Tan(6.8) = o/a
tan(6.8) = Distance / 219
tan(6.8)(219 = Distance
26.114 m

But because the angle of depression is the downward angle from the horizontal the answer may be Tan(83.2)(219) = 1836.589
the 83.2 coming from 90 degrees - 6.8 degrees

either way i"m still unsure because I don't see a need for the two angles or Mias involvement, sorry if I'm wrong

8 0

2 years ago

John enlarged one side of his square flower bed by 8 ft to make it into a rectangle. The area of the new flower bed is 3 times t

maks197457 [2]

Answer:

4 ft.

Step-by-step explanation:

We can consider the orignial square's sides to be x, so area of the original figure: $x^{2}$