All categories

2 years ago

What are the coordinates of the x-intercept of the line -3x-5y=12?

2 answers:

max2010maxim [7]2 years ago

5 0

well, x-intercept means for a graphed funciton where the x-axis gets touched/intercepted, Check the picture below, when that occurs, y = 0, so if we want to know what "x" is at that point we can simply set y = 0 and solve for "x".

$-3x-5y=12\implies \stackrel{\textit{setting y = 0}}{-3x-5(0) =12}\implies -3x-0=12 \\\\\\ -3x=12\implies x=\cfrac{12}{-3}\implies x = -4 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{coordinates}}{(-4~~,~~0)}~\hfill$

guajiro [1.7K]2 years ago

4 0

Answer:

Step-by-step explanation:

Download docx

You might be interested in

Solve for r. 19 = 7 − –3r

FinnZ [79.3K]

Answer:

Step-by-step explanation:

19 = 7 + 3r

12 = 3r

4 = r

5 0

3 years ago

Read 2 more answers

When an object is thrown upwards with a speed of 64 ft/sec, its height above the ground is given by the function h(t)=−16t2+64t

Svet_ta [14]

Answer:

The object will reach its highest point 0.5 seconds after it has been thrown.

Step-by-step explanation:

The object reaches its maximum height when velocity is equal to zero, the velocity is the derivative of function height. That is:

$v(t) = \frac{d}{dt}h(t)$ (1)

Where $v(t)$ is the velocity of the object at time $t$ , in feet per seconds.

If we know that $h(t) =-16\cdot t^{2}+64\cdot t$ and $v(t) = 0\,\frac{ft}{s}$ , then the time when object reaches its highest point is:

$v(t) = -32\cdot t+64$

$-32\cdot t + 64 = 0$

$t = 0.5\,s$

The object will reach its highest point 0.5 seconds after it has been thrown.

3 0

2 years ago

Which graph represents y=³√x ?

QveST [7]

Answer:

1 / (3 - √x³)

Step-by-step explanation:

∛x = x^1/3

^1/3 means the exponent is 1/3

then the derivative is:

d/dx ∛x = d/dx x~1/3 = 1/3*x~(1/3 - 1) = 1/3 x~-2/3 = 1/3 * (1/√x³)

= 1 / (3*√x³)

Hope it helps.

4 0

1 year ago

Find the amount in an account where $500 is invested at 2.5% compounded continuously for period of 10 years

Alex17521 [72]

500 *1.025^10 ≈ 640.04

4 0

3 years ago

A line segment is sometimes/always/never similar to another line segment, because we can sometimes/never/always map one into the

Fantom [35]

Answer:

A line segment is always similar to another line segment, because we can always map one into the other using only dilation a and rigid transformations

Step-by-step explanation:

we know that

A dilation is a Non-Rigid Transformations that change the structure of our original object. For example, it can make our object bigger or smaller using scaling.

The dilation produce similar figures

In this case, it would be lengthening or shortening a line. We can dilate any line to get it to any desired length we want.

A rigid transformation, is a transformation that preserves distance and angles, it does not change the size or shape of the figure. Reflections, translations, rotations, and combinations of these three transformations are rigid transformations.

If we have two line segments XY and WZ, then it is possible to use dilation and rigid transformations to map line segment XY to line segment WZ.

The first segment XY would map to the second segment WZ

therefore

A line segment is always similar to another line segment, because we can always map one into the other using only dilation a and rigid transformations

6 0

3 years ago