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2 years ago

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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What is the point-slope form of a line that has a slope of –4 and passes through point (–3, 1)?

dimaraw [331]

Answer:

y - 1 = - 4(x + 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 4 and (a, b) = (- 3, 1), hence

y - 1 = - 4(x - (- 3)), thus

y - 1 = - 4(x + 3) ← in point- slope form

8 0

2 years ago

Read 2 more answers

A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude

liberstina [14]

Answer:

y=90x+2,000

Step-by-step explanation:

90 is the rate of change because the hot air balloon descends 90 feet per minute.

And 2,000 is the starting point because the hot air balloon started the descent at 2,000 feet.

6 0

2 years ago

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Write an equation to represent the number of pages Jesse has read. Using x, the number of days Amir has been reading, write an e

katrin [286]

Question:

Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.

How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?

Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.

Answer:

It will take 6 days

Step-by-step explanation:

For Jesse:

$Rate = 30\ pages/day$

This implies that Jesse will cover 30y in y days

For Amir:

$Rate = 35\ pages/day$

This implies that Amir will cover 35x in x days

Because Amir starts a day later,

$y = x + 1$

So, we have the following equations:

$Jesse = 30y$

$Amir= 35x$

$y = x + 1$

To get the number of days when they read the same number of pages, we have:

$Jesse = Amir$

Substitute values for Jesse and Amir

$30y = 35x$

Substitute x + 1 for y

$30(x+1) = 35x$

Open bracket

$30x+30 = 35x$

Collect Like Terms

$30 = 35x-30x$

$30 = 5x$

Solve for x

$\frac{30}{5} = \frac{5x}{5}$

$\frac{30}{5} = x$

$6 = x$

$x = 6$

7 0

2 years ago

Complete the assignment on a separate sheet of paper Please attach pictures of your work.

Irina18 [472]

Answer:

TO FIND :-

Length of all missing sides.

FORMULAES TO KNOW BEFORE SOLVING :-

$\sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}$
$\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}$
$\tan \theta = \frac{Side \: opposite \: to \: \theta}{Side \: adjacent \: to \: \theta}$