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scoray [572]
3 years ago
13

What is the answer to (8x+5)^2=63? I've been stuck on this problem for about 10 minutes now.

Mathematics
1 answer:
Liula [17]3 years ago
8 0
When the equation is squared, you have to foil (8x+5), so it becomes 
(8x+5)(8x+5)=63 

then you use the distributive property, so it become 64x^2 +40x +40x +25, and you simplify that into 64x^2+80x+25=63

next you subtract 63 from the left, sso it becomes 64x^2+80x-38=0 
then you use the quadratic formula -b+/- (root b^2-4ac )/2a to solve for the zeros or x-values
You might be interested in
Rewrite the Cartesian equation y=-3 as a polar equation.
andreev551 [17]

r

sin

θ

=

−

3

Explanation:

Imagine we have a point  

P

with Rectangular (also called Cartesian) coordinates  

(

x

,

y

)

and Polar coordinates  

(

r

,

θ

)

.

The following diagram will help us visualise the situation better:

https://keisan.casio.com/exec/system/1223526375

https://keisan.casio.com/exec/system/1223526375

We can see that a right triangle is formed with sides  

x

,  

y

and  

r

, as well as an angle  

θ

.

We have to find the relation between the Cartesian and Polar coordinates, respectively.

By Pythagora's theorem, we get the result

r

2

=

x

2

+

y

2

The only properties we can say about  

θ

are its trigonometric functions:

sin

θ

=

y

/

r

⇒

y

=

r

sin

θ

cos

θ

=

x

/

r

⇒

x

=

r

cos

θ

So we have the following relations:

⎧

⎪

⎨

⎪

⎩

r

2

=

x

2

+

y

2

y

=

r

sin

θ

x

=

r

cos

θ

Now, we can see that saying  

y

=

−

3

in the Rectangular system is equivalent to say

r

sin

θ

=

−

3

Answer link

Jim G.

May 19, 2018

r

=

−

3

sin

θ

Explanation:

to convert from  

cartesian to polar

∙

x

x

=

r

cos

θ

and  

y

=

r

sin

θ

⇒

r

sin

θ

=

−

3

⇒

r

=

−

3

sin

θ

4 0
3 years ago
$800 is deposited in an account
Sergeeva-Olga [200]

Answer:

The balance after four years is $1129.27

Step-by-step explanation:

The formula for compound interest, including principal sum, is A=P(1+\frac{r}{n})^{nt}

  • A = the future value of the investment/loan, including interest
  • P = the principal investment amount (the initial deposit or loan amount)
  • r = the annual interest rate (decimal)
  • n = the number of times that interest is compounded per unit t
  • t = the time the money is invested or borrowed for

∵ $800 is deposited in an account

∴ P = 800

∵ The account pays 9% annual interest

∴ r = 9% = 9 ÷ 100 = 0.09

∵ The interest is compounded annually

∴ n = 1

∵ The time is 4 years

∴ t = 4

- Substitute the values of P, r, n, and t in the formula above

∵ A=800(1+\frac{0.09}{1})^{(1)(4)}

∴ A=800(1.09)^{4}

∴ A = 1129.265

∴ The balance after four years is $1129.27

8 0
3 years ago
How do I find the median for a congruent triangle
Andrej [43]
The length of a median is equal to half the square root of the difference of twice the sum of the squares of the two sides of the triangle that include the vertex the mediam is drawn from and the square of the side of the triangle the median is drawn to.

triangle sides by a, b, c.

ma=122c2+2b2−a2

mb=122c2+2a2−b2

mc=122a2+2b2−c2

3 0
3 years ago
How many of the 100 bin A items can be recycled at a specialized center?
pentagon [3]
Depending on how big the center is, I would say 15.
I hope this helped!
3 0
3 years ago
The mean number of people per day visiting a museum in July was 160. If 20 more people each day visited the museum in August, wh
PIT_PIT [208]
Since the number of days in July and in August is the same, there is no need to work out on the total number per month.

The mean number of people per day in August = 160 + 20 = 180

Answer: 180
5 0
3 years ago
Read 2 more answers
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