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Black_prince [1.1K]
2 years ago
7

Find the area of the following ellipse (round to nearest tenth).

Mathematics
1 answer:
goblinko [34]2 years ago
8 0

Answer:

\huge\boxed{A=60\pi cm^2}

Step-by-step explanation:

The formula of an area of a elipse:

A=\pi ab

We have:

2a=10cm\to a=5cm\\\\2b=24cm\to b=12cm

Substitute:

A=\pi\dot5\cdot12=60\pi(cm^2)

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Solve for x use the completing the square method x^2+6x=5
Mrac [35]

Answer:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

Step-by-step explanation:

x^{2}+6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power:  3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

x^{2}+6x+9-9-5=0

we have:

(x+3)^{2}-9-5=0

(x+3)^{2} = 14

lets apply square root on both sides of the equation:

\sqrt{(x+3)^{2}}=\sqrt{14}

we know:

\sqrt{a^{2}} = abs(a)

so we have:

abs(x+3)=\sqrt{14}

from where two solutions are obtained

x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}

finally we have:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

5 0
3 years ago
Read 2 more answers
What is the factorization of x^3 + 8?
Genrish500 [490]
X^3 + 8 = 
<span>factorized 
( x + 2 )</span><span>( <span><span>x2− 2x </span>+ 4 </span><span>)
</span></span>
8 0
3 years ago
10a - 25 + 56 need help asap​
Lady bird [3.3K]

Answer:

10a+31 is the simplified version but if you are trying to ask 10a-25=56 your answer would be 8.1

Step-by-step explanation:

5 0
3 years ago
Help for brianilist! first answer will get brianilist!!!!!!!
stealth61 [152]
HI THERE!!!!!

The answer is your question is the second choice 59 in^2.

Here is how you can do it:
 
1. Area of rectangle = length*width = 7*4 = 28 square inches
2. Area of triangle on the top = 0.5*base*height = 0.5*7*6 = 21 square inches
3. Area of triangle on right side = 0.5*base*height = 0.5*4*5 = 10 square inches.

Now you can do the total area:
Add them all →→ 28+21+10 = 59

Hope this helps u out.;)P.S. id really appreciate brainliest thx

~ TRUE BOSS



7 0
2 years ago
Determine if (3, 7) is a Solution or not Solution to the linear system.
spayn [35]

Answer:

y = 2x + 1 --> linear

y = -4x + 7 --> non-linear

Not a solution for linear system.

Step-by-step explanation:

for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:

7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.

for (b), we have to substitute our values again. You get:

7 = -4x3 + 7, which is

7 = -12+7, which is not true. So, (b) is not linear.

This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.

7 0
2 years ago
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