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3 years ago

2×3×10 to the 9th power = (1×10 to the 3rd power) (2×3 × 10n)

Mathematics

1 answer:

stiks02 [169]3 years ago

3 0

Answer:

this is what my calculator said sorry: 1.0077696E16

Step-by-step explanation:

calculator

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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

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CDI

Kryger [21]

Answer:

y = x + 2

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

$\frac {-2 + 6}{0 + 4} = \frac{4}{4} = 1$

Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:

y - y₁ = m(x - x₁)

y - 6 = x - 4

+ 6 + 6

_______________

y = x + 2 >> Line in Slope-Intercept Form

__________________________________________________________

y - 2 = x

+ 2 + 2

______________

y = x + 2 >> Line in Slope-Intercept Form

** You see? I told you that it would not matter which ordered pair you choose because you will always get the exact same result!!!

I am joyous to assist you anytime.

4 0

3 years ago

Read 2 more answers

Please help me with this

ddd [48]

Answer:

C. A square is a rhombus

Step-by-step explanation:

A square fulfills all the requirements to become a rhombus:

A. All sides being equal.

B. The diagonals bisected at an angle of 90 degrees

7 0

3 years ago

Solve. 3.8x = -19 Don't add spaces to your answer.

Veronika [31]

Answer:

answer: -5

Step-by-step explanation:

-5 × 3.8 = -19 so therefore x = -5

7 0

3 years ago

Read 2 more answers

How do I get started?

natita [175]

I think this is right maybe

6 0

4 years ago

2×3×10 to the 9th power = (1×10 to the 3rd power) (2×3 × 10n)​

2×3×10 to the 9th power = (1×10 to the 3rd power) (2×3 × 10n)