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3 years ago

Write the equation of the line that passes through the point (7,-2) and has a slope of

2 answers:

6 0

I only know how to do a, so i hope i can help a little bit.
y=mx+b
-2=-3(7)+b
-2=-21+b
b=19
so your equation is y=-3x+19
i hope this helps!!

yarga [219]3 years ago

5 0

Answer:

Step-by-step explanation:

a) The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The slope of the equation is given as - 3

The line passes through the point (7,-2)

To determine the intercept, we would substitute m = - 3, x = 7 and y = -2 into y = mx + c. It becomes

- 2 = - 3 × 7 + c = - 21 + c

c = - 2 + 21 = 19

The equation becomes

y = -3x + 19

b) the standard form is expressed as

Ax + by = C

We would substitute x = 7, y = - 2 and m = - 3 into the point slope equation, y - - 2 = - 3(x - 7)

y + 2 = - 3x + 21

3x + y = 21 - 2

3x + y = 19

The standard form is 3x + y = 19

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Which equation could possibly represent the graphed function?

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

You're looking for x-intercepts

From the graph you know that the x-intercepts are as follows:

x = -4, x = -2, x = 4

And this is when y or f(x) = 0

so you can rewrite each x-intercept as an equation

0 = x + 4

0 = x + 2

0 = x - 4

Now you know each of the terms

f(x) = (x-4)(x+2)(x+4)

7 0

2 years ago

Read 2 more answers

The area of a square ice rink is 400 yd.². What is the perimeter of the rink in yards

MakcuM [25]

Answer:

80 yd^2

Step-by-step explanation:

Since the formula for squares is s^2, we can use this to set up an equation, which is

s^2=400

If we square root this, we get

s=20

The perimeter formula for a square is 4s, so if we plug in, we end up with 80 yd^2

8 0

3 years ago

Which transformation produces another triangle that has the same area as the one shown?

vfiekz [6]

Answer:

A reflection in the line y = -2, then a translation 2 units right.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Rigid transformation are transformation that preserves the shape and size of the object. Rotation, reflection, translation are rigid transformation whereas dilation is not a rigid transformation.

Any transformation regarding dilation changes the side length of the object and hence the area.

From the question, only one option is right. The rest options are not right because they involve dilation. The correct option is:

A reflection in the line y = -2, then a translation 2 units right.

7 0

2 years ago

Find the volume of the wedge-shaped region contained in the cylinder x2 + y2 = 49, bounded above by the plane z = x and below by

fiasKO [112]

$\displaystyle\iiint_R\mathrm dV=\int_{y=-7}^{y=7}\int_{x=-\sqrt{49-y^2}}^{x=0}\int_{z=x}^{z=0}\mathrm dz\,\mathrm dx\,\mathrm dy$

Converting to cylindrical coordinates, the integral is equivalent to

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}\int_{z=r\cos\theta}^{z=0}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}-r^2\cos\theta\,\mathrm dr\,\mathrm d\theta$
$=-\displaystyle\left(\int_{\theta=\pi/2}^{3\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=7}r^2\,\mathrm dr\right)$
$=\dfrac{2\times7^3}3=\dfrac{686}3$

4 0

3 years ago

PLEASE PLEASE HELP

stepan [7]

Answer:

38 divided by 16146.2 = 0.0023534949 then rounded to the nearest hundredth = 0.00

38. divided by 16146.2= The same as that one ^

1614.62 divided by 3.8= 424.9 then rounded you get 424.90

8 0

3 years ago