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3 years ago

Roxanne is using successive approximation to solve this equation.

Mathematics

1 answer:

faltersainse [42]3 years ago

4 0

Answer:

Step-by-step explanation:

upper bound: - 1/2

lower bound: -1

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If x^2 + y^2 = 25, find the equation of the line tangent to the circle when x = -4

bekas [8.4K]

Answer:

In the point (-4,3) tangent is : y=4/3x+25/3 i.e, y=1.33x+8.33

In the point (-4,-3) tangent is: y=-4/3x-25/3 i.e, y=-1.33x-8.33

Step-by-step explanation:

The center of the circle is in (0,0), because x^2+y^2=(x-0)^2+(y-0)^2=25. And the radius is 5, because 5^2=25.

We have first center: (x1,y1)=(0,0)

The point of the tangent is in x=-4, so x^2+y^2=25 is 16+y^2=25,i.e y=3 and y=-3. Like you can see we have 2 tangents to the circle when x=-4. the point (-4,3) and (-4,-3).

We will do for the first point:

The point of tangent is (x2,y2)=(-4,3)

The gradient of the radius

mr=(y2-y1)/(x2-x1)=(3-0)/(-4-0)=-3/4

The gradient of the tangent mt is:

mr*mt=-1 (they are ortogon)

mt=-1/mr=-1/(-3/4)=4/3

the equation of the line trought one point is:

y-y2=k(x-x2), where k is mt,i.e. k=4/3

y-3=4/3(x-(-4))

y=4/3x+16/3+3

y=4/3x+25/3

y=1.33x+8.33

Now for the 2nd point (-4,-3),

mr=-3/-4=3/4

mt=-4/3

y+3=-4/3(x-(-4))

y=-4/3x-16/3-3

y=-4/3x-25/3

y=-1.33x-8.33

7 0

3 years ago

While driving in an exotic foreign land, you see a speed limit sign that reads 180,000 furlongs per fortnight. How many miles pe

erma4kov [3.2K]

Answer:

66.96

Step-by-step explanation:

Furlong = 1/8 mile

Fortnight = 14 days

Day = 24 hours

If the speed limit is 180,000 furlongs per fortnight, converting the units from furlongs per fortnight to miles per hour:

$V=180000\frac{furlong}{fortnight}*\frac{1\ mile}{8\ furlong}*\frac{1\ fortnight}{14\ days}*\frac{1\ day}{24\ hours} \\V=66.96\ mph$

The speed limit on this exotic land in 66.96 miles per hour.

7 0

3 years ago

7×9-8+11-6 [5+2 (-3)]

kupik [55]

Ok, MissWalker! Please try your best to understand this, it may get confusing.
I have solved this on a different website, and here is my solving in a picture. I hope I helped!!! :D

8 0

3 years ago

17. A television costs $270.25 including 15% sales tax. How much of<br> the cost is tax?

ella [17]

Answer:

Below in bold.

Step-by-step explanation:

The 15% is calculated on the cost before tax, $x.

So x + 0.15x = 270.25

1.15x = 270.25

x = 270.25/1.15

= $235.

So 270.25 - 235

= $35.25 was sales tax.

6 0

3 years ago

christen has to run around the rectangle soccer field during practice. The soccer field measures 60 meters long by 45 meters wid

Elena L [17]

Answer:

210 m

Step-by-step explanation:

Perimeter is the distance around the outside of a two-dimensional shape.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

Christen ran around the soccer field, so she ran around the perimeter.

We can find the perimeter by adding all of the side lengths.

Perimeter=60 m+45 m+60 m+45 m

Christen ran 210m.

7 0

3 years ago