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Georgia [21]
3 years ago
5

X^2 + y^2=40 and y=x-4 solve this simultaneous equation

Mathematics
1 answer:
inn [45]3 years ago
3 0
Write x-4 instead of y.
x²+(x-4)²=40
x²+x²-8x+16=40
2x²-8x-24=0
x²-4x-12=0
(x-6)(x+2)=0
x=6 or x=-2

for x=6, y=6-4 = 2
for x=-2, y=-2-4 = -6
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Choose the two equations you would use to solve the absolute value equation below. Then solve the two equations.
sukhopar [10]
|x+5|=55\\\\x+5=55\ \vee\ x+5=-55\\\\x=55-5\ \vee\ x=-55-5\\\\x=50\ \vee\ x=-60
6 0
3 years ago
Multiple or divide as indicated 2x/4x+2 x 14 x+7/6
otez555 [7]
<span>2x/4x+2 x 14 x+7/6 is unclear.  Do you mean 2/4x, or do you mean  2x
                                                                                                           --------  ??
                                                                                                            4x+2
Use parentheses to make things clearer.

I will assume that you meant to write

   2x
--------- * 14x + 7/6
4x + 2

but am very much unsure if this is correct or not.



Perhaps you meant 

</span>2x/(4x+2) times 14(x+7/6)
<span>
This comes out as follows:

 2x * 14 (x + 7/6)        28x(x + 7/6)        14x(x + 7/6) 
------------------------ = ------------------- = --------------------
       4x+2                        2(2x + 1)              2x + 1         after reduction.

Performing the multiplication, we get            14x^2 + 98/6
                                                                     --------------------
                                                                              2x+1
</span>  

It appears that you're using "x" both as a variable name and as the "multiply" operator.  If so, please don't!  Use " * " to indicate multiplication.
<span>
</span>Please take and share a screen shot of this problem.
3 0
4 years ago
What is the area of a sector with a central angle of 2π/9 radians and a radius of 16.7 ft?
Y_Kistochka [10]

Answer:

Area of the sector is 97.30 square feet.

Step-by-step explanation:

The area of the sector is given by

A=(\frac{\theta}{2})r^2

Plugging the known values in this formula to find the area of the sector

A=(\frac{2\pi/9}{2})(16.7)^2\\\\A=\frac{2\pi}{18}\cdot16.7^2

Use the value of π as 3.14

A=\frac{2\cdot3.14}{18}\cdot16.7^2

Simplifying, we get

A=97.3016

Rounded to the nearest hundredth, we get

A=97.30

8 0
3 years ago
Read 2 more answers
Ted earned $4,300 from his summer internship that he plans to invest so that he can buy a used car after three years. Ted choose
olganol [36]

Answer: Yes he will be

Step-by-step explanation:

To find out if Ted can afford the car, find the future value of $4,300 in three years.

First convert the number of years and rates to quarterly values as this is the compounding period:

Term = 3 * 4 quarters = 12 quarters

Rate = 5.5% / 4 = 1.375% per quarter

Future value = Amount * ( 1 + rate) ^ term

= 4,300 * ( 1 + 1.375%)¹²

= $5,065.69

<em>Considering that Ted makes $5,065.69 in 3 years, he will be able to buy a car that costs $4,700.</em>

8 0
3 years ago
To find the quotient Start Fraction 5 Over 7 End Fraction divided by one-third,
posledela

Answer:

its C.

Step-by-step explanation:

i took the test

8 0
3 years ago
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