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otez555 [7]
2 years ago
6

Write the quadratic equation in standard form:- 4x² – 13 – 2x = 4x - 2x²(Urgent!) ​

Mathematics
1 answer:
bazaltina [42]2 years ago
5 0

Answer:

2 {x}^{2}  + 6x + 13 = 0

Step-by-step explanation:

- 4 {x}^{2}  - 13 - 2x = 4x - 2 {x}^{2}  \\ 4x - 2 {x}^{2}  + 4 {x}^{2}  + 13 + 2x = 0 \\  4 {x}^{2} - 2 {x}^{2} + 4x + 2x + 13 = 0 \\  \purple{ \boxed{ \bold{2 {x}^{2}  + 6x + 13 = 0}}} \\ is \: the \: standard \: form \:

You might be interested in
An oak tree cast a shadow of 14 feet. A 30 foot flagpole casts a shadow of 60 how tall the Oak tree?
Alina [70]

Answer:

7 feet

Step-by-step explanation:

Oak tree = x

14 : x  as  60 : 30

Simplify the right ratio

14 : x  as 2:1

Get the same first number in both ratios by multiplying 2:1 by 7

14 : x  as 2(7) + 1(7)

14 : x as 14 : 7

Since the first number in each ratio is the same, we know that that x and 7 are equal

x = 7

Hope this helps, feel free to let me know if you would like a further explanation :)

5 0
3 years ago
») What is the volume of a ball with adiameter of 6 centimeters? Use 3.14for (pie)How is the volume of a sphere related tothe vo
Dahasolnce [82]
Volume of a sphere and a cone

We have that the equation of the volume of a sphere is given by:

V=\frac{4}{3}\pi r^3

We have that the radius of a sphere is half the diameter of it:

Then, the radius of this sphere is

r = 6cm/2 = 3cm

<h2>Finding the volume of a sphere</h2>

We replace r by 3 in the equation:

\begin{gathered} V=\frac{4}{3}\pi r^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot3^3 \end{gathered}

Since 3³ = 3 · 3 · 3 = 27

\begin{gathered} V=\frac{4}{3}\pi3^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot27 \end{gathered}

If we use π = 3.14:

\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=\frac{4}{3}\cdot3.14\cdot27 \\ \downarrow \\ V=4.18\bar{6}\cdot27 \end{gathered}

Rounding the first factor to the nearest hundredth (two digits after the decimal), we have:

4.18666... ≅ 4.19

Then, we have that:

\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=4.19\cdot27 \\ =113.13 \end{gathered}

Then, we have that:

<h2>Finding the volume of a cone</h2>

We have that the volume of a cone is given by:

V=\frac{1}{3}\pi r^2h

where r is the radius of its base and h is the height:

Then, in this case

r = 3

h = 6

and

π = 3.14

Replacing in the equation for the volume:

\begin{gathered} V=\frac{1}{3}\pi r^2h \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \end{gathered}

Then, we have:

3² = 9

\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot9\cdot6 \\ V=\frac{1}{3}\cdot3.14\cdot54 \\ V=56.52 \\  \end{gathered}

Answer: the volume of the cone that has the same circular base and height is 56.52 cm³

5 0
1 year ago
Solve for s<br> -24-6s=-42
erastovalidia [21]

Answer

S=3

Step-by-step explanation:

add 24 to both sides, then you subtract -42+24 take sign of the larges which is negative  and youll get -6s=-18 divide -6 to both sides and you will get S=3

7 0
2 years ago
A circle has a radius of 3. An arc in this circle has a central angle of 20 degrees. What is the length of th arc?
dexar [7]

I got 1.047198m

hope this helps

7 0
3 years ago
What steps do you take to divide multi digit whole numbers
const2013 [10]
For example
653÷ 536 =1.218283582089552.that is multi digital numbers
7 0
3 years ago
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