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3 years ago

What is a slope intercep form

2 answers:

5 0

The slope-intercept form is simply the way of writing the equation of a line so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are immediately apparent. Often, this form is called y = mx + b form.

Dovator [93]3 years ago

5 0

<u>Answer with step-by-step explanation:</u>

We can write the equation of a line in a number of ways, one of which is the slope intercept form.

The slope intercept form of the equation of a line is also the standard form of an equation which can be represented by:

$y = m x + c$

where $y$ is the y-coordinate,

$m$ is the slope of the line,

$x$ is the x coordinate; and

$c$ is the y intercept.

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Jodi poured herself a cold soda that had an initial temperature of 45degreesF and immediately went outside to sunbathe where the

arlik [135]

The initial temperature difference of 101-45 = 56 degees declined to 101-55 = 46 degrees in 8 minutes, We can write the exponential equation for the soda's temperature as

... T = 101 -56(46/56)^(t/8) . . . . where t is in minutes

After an additional 10 minutes, we have t=18, so the soda temperature will be

... T = 101 -56(46/56)^(18/8) ≈ 65.0 . . . degrees

6 0

3 years ago

A large rectangular movie screen in an IMAX theater has an area of 8,364 square feet. Find the dimensions of the screen if it is

jeyben [28]

Answer:

The dimensions of the screen are

Length:102 feet

Width: 82 feet

Step-by-step explanation:

we know that

The area of the rectangle (movie screen) is equal to

$A=LW$

where

L is the length

W is the width

we have

$A=8,364\ ft^2$

$8,364=LW$ ----> equation A

The screen is 20 feet longer than it is wide.

$L=W+20$ ---> equation B

substitute equation B in equation A

$8,364=(W+20)W$

solve for W

$8,364=W^2+20W\\W^2+20W-8,364=0$

solve the quadratic equation by graphing

the solution is W=82 ft

see the attached figure

Find the value of L

$L=82+20=102\ ft$

therefore

The dimensions of the screen are

Length:102 feet

Width: 82 feet

7 0

3 years ago

Jeff has a density of 1000 g/mL and a volume of 25-mL. What is Jeff’s mass?

zlopas [31]

Answer:

25,000 grams

Step-by-step explanation:

Density can be found using the following formula:

$d=\frac{m}{v}$

If we rearrange the formula for $m$ , mass, we will multiply both sides of the equation by v.

$d*v=\frac{m}{v}*v$

$d*v=m$

The mass can be found by multiplying the density by the volume.

Jeff's density is 1000 grams per milliliter and his volume is 25 milliliters.

$d= 1000 g/mL\\v=25 mL$

Substitute the values into the formula.

$m=d*v$

$m= 1000 g/mL * 25 mL$

Multiply. When you multiply, the "mL" or milliliters will cancel out.

$m= 1000 g * 25$

$m= 25000 g$

Jeff's mass is 25,000 grams.

6 0

3 years ago

A store called Surfmania sells a $170 surfboard for 30% off. Another store, Coolwaves, sells the same surfboard but for $150, bu

Marizza181 [45]

Answer:

no se467/'%7&!&?!&$-!---;!8

6 0

3 years ago

Factor this expression completely.<br> 36y2 - 1

shtirl [24]

Answer:

(6y - 1)(6y + 1)

Step-by-step explanation:

To factorize completely, we may adopt the difference of 2 squares approach. The theory states that difference of two square is the product of the difference of the number and the sum of the numbers.

Such that

a² - b² = (a - b) (a + b)

Hence 36y² - 1

= 6²y² - 1²

= (6y)² - 1²

= (6y - 1)(6y + 1)

5 0

3 years ago

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