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kifflom [539]
3 years ago
15

PLEASE HURRY~ CHOOSING BRAINLIEST

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0
C because y=mxb so plug in the numbers
svp [43]3 years ago
6 0

Answer:

Step-by-step explanation:

Because the y intercept is two our y=mx+b equation looks like this

y=mx+2

We then need to find a slope that gives us an x intercept of 3 or satisfies the coordinates of (3,0)

We can plug this in and solve

0=3m+2

-2=3m

-2/3=m

which means our final equation is

-2/3x+2

C

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Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)
vfiekz [6]

Answer:

Step-by-step explanation:

given a point (x_0,y_0) the equation of a line with slope m that passes through the  given point is

y-y_0 = m(x-x_0) or equivalently

y = mx+(y_0-mx_0).

Recall that a line of the form y=mx+b, the y intercept is b and the x intercept is \frac{-b}{m}.

So, in our case, the y intercept is (y_0-mx_0) and the x  intercept is \frac{mx_0-y_0}{m}.

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph (x_0,\frac{1}{x_0}). Which means that y_0=\frac{1}{x_0}

The slope of the tangent line is given by the derivative of the function evaluated at x_0. Using the properties of derivatives, we get

y' = \frac{-1}{x^2}. So evaluated at x_0 we get m = \frac{-1}{x_0^2}

Replacing the values in our previous findings we get that the y intercept is

(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}

The x intercept is

\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0

The triangle in consideration has height \frac{2}{x_0} and base 2x_0. So the area is

\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0
3 years ago
2. Find the area. The figure is not drawn to scale.<br> 4 cm<br> 17 cm
BabaBlast [244]
area=base x height so i’m thinking it’s 4x17=68
7 0
3 years ago
3. Heating from the sun is more direct at the equator then at the North and
inna [77]

Answer:

true

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the unit rate<br> 180 miles in 4 hours =<br> miles per hour
Andrei [34K]

Answer:

= 45 miles per hour

Step-by-step explanation:

First, we want a unit rate where 1 is in the denominator.

So we divide,

180 miles/ 4 hours both ÷ by 4

= 45 miles/ 1 hour

= 45 miles/ hour

= 45 miles per hour

5 0
3 years ago
What is the surface area of the rectangular pyramid shown? 59.5 cm2 63 cm2 75.5 cm2 99 cm2
arsen [322]

Answer:

Option D.

Step-by-step explanation:

In this question figure of pyramid is attached below the question .

Surface area of the rectangular pyramid :

Area of the Base = Length × Width

                            = 10 × 2 = 20 cm²

Area of Lateral #1 = \frac{1}{2}(P)(L)

                             = \frac{1}{2}(10\times6.3)

                             = 31.5 cm²

Area of Lateral #2 = \frac{1}{2}(8\times 2)

                               = \frac{16}{2}

                               = 8 cm²

Surface area of the pyramid = 20 + 2(31.5) + 2(8)

                                                = 20 + 63 + 16

                                                = 99 cm²

Surface area of the pyramid is 99 cm²

7 0
3 years ago
Read 2 more answers
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