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3 years ago

Write the equation of a line whose slope is 2/3 and crosses the y axis at (0, -5)

Mathematics

1 answer:

postnew [5]3 years ago

7 0

The equation of line with slope 2/3 and crosses the y axis at (0, -5) is:

$y=\frac{2}{3}x-5$

Step-by-step explanation:

We will use the slope intercept form of the equation to make an equation of the given line

The slope-intercept form is:

$y=mx+b$

Here m is the slope and b is the y-intercept

Given

m = 2/3

Putting the value of slope

$y=\frac{2}{3}x+b$

The y intercept is -5 so we will put in the equation

$y=\frac{2}{3}x-5$

The equation of line with slope 2/3 and crosses the y axis at (0, -5) is:

$y=\frac{2}{3}x-5$

Keywords: Equation of line, slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

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A sheet of paper 90 cm-by-66 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and f

NNADVOKAT [17]

Answer:

$26 - \sqrt{181}$ cm

Step-by-step explanation:

The volume of the box is:

V = height * length * width

V = x*(66 - 2*x)*(90 - 2*x)

V = (66*x - 2*x^2)*(90 - 2*x)

V = 5940*x - 132*x^2 - 180*x^2 + 4*x^3

V = 4*x^3 - 312*x^2 + 5940*x

where x is the length of the sides of the squares, in cm.

The mathematical problem is :

Maximize: V = 4*x^3 - 312*x^2 + 5940*x

subject to:

x > 0

2*x < 66 <=> x < 33

In the maximum, the first derivative of V, dV/dx, is equal to zero

dV/dx = 12*x^2 - 624*x + 5940

From quadratic formula

$x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)}$

$x = \frac{624 \pm \sqrt{(-624)^2 - 4(12)(5940)}}{2(12)}$

$x = \frac{624 \pm \sqrt{104256}}{24}$

$x = \frac{624 \pm \sqrt{2^6*3^2*181}}{24}$

$x = \frac{624 \pm 8*3*\sqrt{181}}{24}$

$x_1 = \frac{624 + 24*\sqrt{181}}{24}$

$x_1 = 26 + \sqrt{181}$

$x_2 = \frac{624 - 24*\sqrt{181}}{24}$

$x_2 = 26 - \sqrt{181}$

But $x_1 > 33$ , then is not the correct answer.

5 0

2 years ago

What is the slope of a line parallel to the line 2x + 3y = 5?

SOVA2 [1]

i think its 2/3 but im not sure .

6 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!!!!!!!!!!

Anvisha [2.4K]

Answer:

60.7

Step-by-step explanation:

multiply 7 3/4 by 4, then multiply 4 5/8 by 4, then 2 4/5 by 4, then add it all together to get your answer.

6 0

3 years ago

So,i have the answer to this question,but i have no clue how to work it out,ik im not that smart but anyways i need helppo

mestny [16]

Answer:

$1290 = \frac{h}{10} + \frac{h}{5} \\ 12900 = h + 2h \\ 3h = 12900 \\ h = 4300$

7 0

3 years ago

I have no idea what the answer is

Digiron [165]

Sin is opposite over hypotenuse so the answer would be sqrt3\2

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3 years ago