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Lena [83]
2 years ago
7

What is the quadratic formula in vertex form?

Mathematics
1 answer:
telo118 [61]2 years ago
8 0

Answer:

See explanation below to use the vertex form to solve a quadratic equation.

Step-by-step explanation:

(x - h)^2 - k = 0, the vertex is (h, -k)

An example below, taking a quadratic equation and completing the square:

x^2 - 2x - 1 = 0

x^2 - 2x = 1

(-2/-2)^2 = 1, add 1 to both sides of the equation.

x^2 - 2x + 1 = 1 + 1

(x - 1)^2 = 2

(x - 1)^2 - 2 = 0

The vertex is (1, -2)

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Which shows the correct substitution of the values a, b, and c from the equation 0 = 4x2 + 2x – 1 into the quadratic formula bel
neonofarm [45]

Answer:

x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4(4)(negative 1) EndRoot Over 2(4) EndFraction

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^2+bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^2-4ac} }{2a}

in this problem we have

4x^2 + 2x - 1=0

so

a=4

b=2

c=-1

substitute in the formula

x=\frac{-2(+/-)\sqrt{2^2-4(4)(-1)} }{2(4)}

therefore

x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4(4)(negative 1) EndRoot Over 2(4) EndFraction

8 0
2 years ago
Read 2 more answers
the loudness, L, measured i in decibels (Db), of a sound intencity, I, measured in watts per square meter, is defined as L=10log
Jet001 [13]

Answer: D, 110 !!!

Step-by-step explanation:

8 0
3 years ago
What simple interest rate would allow $6000 to grow to an amount of $14550 in 10 years?
Harman [31]

Answer:

\boxed{ \bold{ \huge{  \boxed{ \sf{ \: 14.25 \: \% \: }}}}}

Step-by-step explanation:

Given,

Principal ( P ) = $ 6000

Amount ( A ) = $ 14550

Time ( T ) = 10 years

Rate ( R ) = ?

<u>Finding </u><u>the </u><u>Interest</u>

The sum of principal and interest is called an amount.

From the definition,

\boxed{ \sf{Amount =  \: Principal + Interest}}

plug the values

⇒\sf{14550 = 6000 + Interest}

Swap the sides of the equation

⇒\sf{6000 + Interest = 14550}

Move 6000 to right hand side and change its sign

⇒\sf{Interest = 14550 - 6000}

Subtract 6000 from 14550

⇒\sf{Interest = \: 8550 \: }

Interest = $ 8550

<u>Finding </u><u>the </u><u>rate </u>

{ \boxed{ \sf{Rate =  \frac{Interest \times 100}{Principal \times Time}}}}

plug the values

⇒\sf{ Rate = \frac{8550  \times 100}{6000 \times 10} }

Calculate

⇒\sf{Rate =  \frac{855000}{60000} }

⇒\sf{Rate = 14.25 \: \% \: }

Hope I helped!

Best regards!!

8 0
3 years ago
In a right triangle, the measure of one acute angle is 26°. What is the measure of the other acute angle?
Makovka662 [10]
The sum of the angles of a triangle ALWAYS sum up to 180 degrees.  So to find the other angle, you would take 180, subtract 90, and then subtract 26, to get 64.
The measure of the 3rd angle equals 64.
5 0
2 years ago
Math experts please help​
Licemer1 [7]

Answer:

The answer is 64

Step-by-step explanation

Lines JK and HI are congruent therefore making the 60 degree angle on line JK can also be used to find the rest of triangle <HAI, and triangles always add up to 180 degrees

8 0
3 years ago
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