Answer:
18
Step-by-step explanation:
side length of triangle RST is 4 ✓ 3, 3 ✓ 3
So, area of triangle RST = 1/2 × 4✓ 3 × 3✓ 3 =18
Answer:
We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros.
Answer:y = -3x + 10
Step-by-step explanation:
To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:
where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.
Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:
So the slope between the two points is -3.
From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:
y = mx + b
plug in -3 for m (the slope) and 10 for b (the y-intercept)
y = -3x + 10
So now we have our equation.
I hope you find my answer and explanation helpful. Happy studying. :)
Answer:
An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x.
Step-by-step explanation:
The inverse function returns the original value for which a function gave the output. ... A function that consists of its inverse fetches the original value.
Example : f(x) = 2x + 5 = y. Then, g(y) = (y-5)/2 = x is the inverse of f(x).
Answer:
(a). $1465.42
(b). $214.58
Step-by-step explanation:
We have been given that installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. The interest rate is 1.25% per month on the unpaid balance.
(a) To find the cost of the TV, we will use monthly payment formula.
, where,
R = Periodic payment,
P = Loan amount,
i = Monthly interest rate in decimal form,
n = Number of total payments.
We know that total cost of TV would be equal to down payment plus amount of loan that is:
Therefore, the total cost of the TV would be $1465.42.
(b). First of all, we need to find total amount paid in 3 years by multiplying amount of each monthly payment by 36 (3 years equal to 36 months).
To find the total amount of interest paid, we will subtract amount of loan from total payment.
Therefore, the total amount paid in interest would be $214.58.
