Answer:
Step-by-step explanation:
P = (-4, 3)
Reflecting across the y axis negates the x value
P₁ = (4, 3)
Reflecting across the x axis negates the y value
P' = (4, -3)
option D
The equation y =
x -
in standard form is 8x - 10y = 7
Step-by-step explanation:
The standard form of a linear function is Ax + By = C, where
- A is positive
- A, B, and C are integers with greatest common divisor 1
∵ The equation is y =
x - ![\frac{7}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B10%7D)
- At first multiply the terms of the equations by the least common
multiple of 5 and 10 to cancel the denominators of the fractions
∵ The least common multiple of 5 and 10 is 10
- Multiply all the terms of the equations by 10
∵ 10(y) = 10(
) x - 10(
)
∴ 10y = 8x - 7
- Subtract 8x from both sides
∴ 10y - 8x = -7
- Multiply each term by -1 to make the coefficient of x positive
∴ -10y + 8x = 7
- Start with x
∴ 8x - 10y = 7 ⇒ (the greatest common divisor of 8 , 10 , 7 is 1)
The equation y =
x -
in standard form is 8x - 10y = 7
Learn more:
You can learn more about the linear equations in brainly.com/question/9801816
#LearnwithBrainly
Answer:
20.99 m
Step-by-step explanation:
The apex angle is ...
180° -2·37.57° = 104.86°
By the law of sines, the unknown side x has length ...
x/sin(37.57°) = 33.28/sin(104.86°) = (side opposite)/sin(angle)
x = 33.28·sin(37.57°)/sin(104.86°) ≈ 20.99396 ≈ 20.99 . . . . meters
<span>$628,119.20
The formula for calculating the periodic payment on a loan is:
P = r(PV)/(1-(1+r)^(-n))
where
P = Payment
PV = Present Value
r = Interest rate per period
n = number of periods
So for this loan, assuming that payments are made monthly, the value r will be 0.05575/12 = 0.004645833, the value n will be 30*12 = 360, and PV is 592000. So let's substitute these values into the equation and calculate:
P = r(PV)/(1-(1+r)^(-n))
P = 0.004645833(592000)/(1-(1+0.004645833)^(-360))
P = 2750.333333/(1-(1.004645833)^(-360))
P = 2750.333333/(1-0.188505723)
P = 2750.333333/0.811494277
P = 3389.220861
So each payment will be $3389.22
Arnold will make a total of 360 payments, so will spend
360 * $3,389.22 = $1,220,119.20
Since his loan was for only $592,000; let's subtract that from his total payments to get the interest.
$1,220,119.20 - $592,000 = $628,119.20
Therefore his total interest is $628,119.20</span>
Answer:
x=5
Step-by-step explanation:
That is a right angle, so 18x=90. To find x, you have to divide 90 by 18, which gives you 5.