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Ipatiy [6.2K]
3 years ago
5

How would I do this question using odd co

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
7 0
Consecutive odd numbres are 2 apart
they numbers are x and x+2
square of first plus 3 times 2nd is 24
first is x
2nd is x+2

x²+3(x+2)=24
easy
x²+3x+6=24
minus 24 both sides
x²+3x-18=0
factor
(x+6)(x-3)=0
set to ezr
x+6=0
x=-6
false, this is even
x-3=0
x=3
x+2=5

the numbers are  3 and 5
9+15=24, yah



3 and 5 are numbers
Pie3 years ago
4 0
So your equation would be (x)squared + 3(x+2) = 24
simplify:
xsq + 3x + 6 = 24
xsq + 3x - 18 = 0
if we broke this down into multiplication, one of the multiplying factors would have to equal zero since the whole now equals 0 so,
(x+6)(x-3) = 0
so, x+6 = 0, or x-3 = 0
solve:
x = -6, or 3

then  just choose the odd one
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X(x+1)-1=4<br> ---<br> please help stuck on this question
Sloan [31]

Answer:

x=2

Step-by-step explanation:

use distributive property: x^2+2x-1=4

remove the -1 by adding 1 on both sides: x^2+2x=5

use the guadratic fromula:  ax²+bx+c=0

plug in the equation x^2+2x-5=0

a,b and c are the coefficients to plug into the formula

a=1, b=2, c=-1

Finally, you will find that x=2

8 0
2 years ago
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6) the circular base of a hemisphere of radius 2 rests on the base of a square pyramid of height 6. the hemisphere is tangent to
Rasek [7]

The length of the square base is thus 2 x 3\sqrt{2}/2 = 3\sqrt{2} = A

<h3>What is hemisphere?</h3>

Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

EXPLANATION; Let ABCDE be the pyramid with ABCD as the square base. Let O and M be the center of square ABCD and the midpoint of side AB respectively. Lastly, let the hemisphere be tangent to the triangular face ABE at P.

Notice that triangle EOM has a right angle at O. Since the hemisphere is tangent to the triangular face ABE at P, angle EPO is also 90 degree. Hence, triangle EOM is similar to triangle EPO.

OM/2 = 6/EP

OM = 6/EP x 2

OM = 6\sqrt{6^2 - 2^2} x 2 = 3\sqrt{2}/2}

The length of the square base is thus 2 x 3\sqrt{2}/2 = 3\sqrt{2} = A

To know more about Hemisphere, visit;

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6 0
1 year ago
Let f and g be the functions defined by f(x) = 10^ (x+2 / 3) and g(x) = log (x3 / 100) for all positive real numbers,
Vaselesa [24]

Answer:

F(x) and g(x) are not inverse functions.

Step-by-step explanation:

In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.

As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.

[tex]y=10^{(x+\frac{2}{3}) }\\\\log y=log 10^{(x+\frac{2}{3}) }\\log y = (x+\frac{2}{3}) . log10\\\frac{log Y}{log10} = (x+\frac{2}{3})\\\frac{log Y}{1} = (x+\frac{2}{3})\\log Y-\frac{2}{3}=x[/tex]

Now we change the variables.

F(x)=log x-\frac{2}{3}

F(x) and g(x) are not inverse functions.

4 0
3 years ago
Find the volume of the cone. Round solution to the nearest tenth when necessary
Neko [114]

Answer:

96 in 3

Step-by-step explanation:

7 0
3 years ago
What is the equivalent ratio of 3/10
tresset_1 [31]

Answer:

6/20

Step-by-step explanation:

multiply 3 x 2 then 10 x 2 and you will have an equivalent ratio. Theres alot more of them but heres a simple one.

6 0
3 years ago
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