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inessss [21]
3 years ago
10

What expression is equivalent to 6 × 10^−4/2 × 10^3

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

The correct answer is: [A]: " 3 * 10 ⁻⁷ " .

_____________________

Explanation:

To solve:

Given:

<u> (6 * 10⁻⁴ ) </u> = (6 ÷ 2) * 10⁽⁻⁴ ⁻³⁾ = 3 * 10 ⁻⁷ ; which is:

(2 * 10³ )

→ Answer choice: [A]: " 3 * 10 ⁻⁷ " .

_____________________

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Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0
lorasvet [3.4K]

Answer:

equation;

(x + 4) {}^{2}  + (y - 2) {}^{2}  = 27

Center (-4,2)

Radius is

3 \sqrt{3}

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

(x - h) {}^{2}  + (y - k)  {}^{2}  =  {r}^{2}

Where (h,k) is center

r is the radius

So first we group like Terms together

{x}^{2}  + 8x  +  {y}^{2}  - 4y - 7 = 0

Add 7 to both sides

{x}^{2}  + 8x +  {y}^{2}  - 4y = 7

( {x}^{2}  + 8x) +(  {y}^{2}  - 4y) = 7

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

(\frac{8}{2} ) {}^{2}  = 16

and

( - \frac{4}{2} ) {}^{2}  = 4

so we have

{x}^{2}  + 8x + 16 +  {y}^{2}  - 4y + 4y = 7 + 16 + 4

{x}^{2}  + 8x + 16  +  {y}^{2}  - 4y + 4y = 27

(x + 4) {}^{2}  +  (y  - 2) {}^{2}  = 27

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

\sqrt{27}  = 3 \sqrt{3}

So the radius is 3 times sqr root of 3.

8 0
2 years ago
Area of square floor is 100 square centimeters,and the scale of the drawing is 1 centimeter:2ft,what is the area of the actual f
Taya2010 [7]
100 square centimeters means the dimensions are 10x10
but the actual floor will be 1cm:2ft
so 10cm=20feet
making the dimensions 20feetx20feet
the area of the actual floor is 400 feet
4 0
3 years ago
If angle vuw = 4x+6 and wut = 6x+10 what is the measure of wut
Damm [24]

Answer:

C, 38°

Step-by-step explanation:

ray UW is the angle bisector of ∠VUT

--> m∠VUW = m∠WUT = 1/2 m∠VUT

<=> 4x + 6 = 6x - 10

<=> 6 + 10 = 6x - 4x

<=> 2x = 16

<=> x = 8

So, the measure of m∠WUT is: 6x - 10 = 6 . 8 - 10 = 48 - 10 = 38°

4 0
3 years ago
Learn with an example
Marta_Voda [28]

Answer:

y = 9x + (-7) should be the answer

6 0
3 years ago
Write 10 12/5 as an equivalent improper fraction
romanna [79]
10 \frac{12}{5} = \frac{(10 X 5 ) + 12}{5} 
= \frac{62}{5}
8 0
3 years ago
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