MATHEMATICS HIGH SCHOOL

What is the value of n in the equation -1/2 (2n + 4) + 6 = -9 + 4(2n + 1)?
n =

Answers

Answer 1

Answer:

Answer:

n=1

Step-by-step explanation:

Answer 2

Answer:

Answer:

n=1

Step-by-step explanation:

Related Questions

In order for two triangles to be similar, all corresponding pairs of angles must be __________.adjacentcongruentproportionalsupplementary
The length of a rectangle is 10 feet more than the width. The area of the rectangle is 96 square feet. Find the dimensions of the rectangle. Solve algebraically.
WILL CHOOSE BRAINLIEST! PLEASE HELP! 15 POINTS!Find the area of the shaded segment of the circle.
How do I write 4(3x+2)-9 in written form?
Using PEMDAS (Order of Operations), what is the value of the expression 4+3^2+(4−12)? A. 15. B. 17. C. 13. D. 10.

Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10?

Answers

Answer: 10, 8, 6 , 4, 2, 0, -2, -4, ...

Explanation: every number of the sequence is the previous less 2 and the first terms is 10.

Answer:

D. 10, 8, 6, 4, 2, ...

Step-by-step explanation:

I got it right on the EDG. unit test!

How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?

Answers

Answer:

g(x) is the reflection of f(x) through the y-axis.

Step-by-step explanation:

Given : Functions $f(x)=0.7(6)^x$ and $g(x)=0.7(6)^(-x)$

To find : How are the two functions related to each other?

Solution :

When we examine the two function,

$f(x)=0.7(6)^x$ and $g(x)=0.7(6)^(-x)$

We see that x-coordinate in g(x) is negative which signifies that it will be reflected through y-axis.

Therefore, the functions are related to each other as g(x) is the reflection of f(x) through the y-axis.

0.7(6)^-x = 0.7 * 1 /6^x)
the graphs would be a reflection of each other in the y axis

Justin and Austin decide to play catch after school. They start at the same point.Justin walks 40 feet north and 10 feet west. Austin walks 30 feet south and 20 feet east. How far apart are
they? (Round to the nearest tenth).
A) 76.2 ft
B) 14.1 ft
C) 70.7 ft
D) 31.6 f

Answers

i think it’s A

a^^^^

The three sides of a triangle are tangent to a unique circle called the incircle. On the coordinate plane, the incircle of ABC has its center at the origin. The lines whose equations are x+4y=6s(qrt17), 2x+(sqrt5)y=-18, and 2(sqrt2)x=y+18 contain the sides of ABC. What is the length of the radius of the incircle?sqrt= square root

A. 2 units
B. 3 units
C. 6 units
D. 8 units

Answers

We are looking for the length of a radius.

If we can find the coordinates of the two endpoints of a radius, then we can find its length.

A tangent to a circle intersects the circle at a single point.

A radius of the circle drawn to the point of tangency is perpendicular to the tangent.

We know the center of the circle is the origin. That means we know one endpoint of every radius.

We use one side of the triangle which is given as an equation.

We find its slope. Then using that slope and the coordinates of the origin,

we can find the equation of the radius that is perpendicular to that side.

We then solve the equations simultaneously to find the coordinates of the point of tangency. The point of tangency is the other endpopint of the radius.

Knowing two endpoints of a radius, we can find its length. That will give us the answer since we are looking for the length of the radius.

Let's use the first given equation.

Find its slope.

$x + 4y = 6 √(17)$

$4y = -x + 6 √(17)$

$y = -(1)/(4)x + (3√(17))/(2)$

The slope of the side of the triangle is -1/4.

The slope of the radius perpendicular to that side is 4.

The equation of the line that contains the radius is

$y - y_1 = m(x - x_1)$

We are told the circle is centered at the origin, so one point on the line containing the radius is (0, 0).

$y - 0 = 4(x - 0)$

$y = 4x$

The line containing the radius is y = 4x.

Now we use the equation of the line containing the side of the triangle and the equation of the line containing the radius as a system of equations to find their point of intersection. That point is the other endpoint of the radius.

$x + 4y = 6 √(17)$

$y = 4x$

Multiply the first equation by 4 and subtract the x-term from both sides.

$16y = -4x + 24 √(17)$

$y = 4x$

Add the equations and solve for y.

$17y = 24 √(17)$

$y = (24 √(17))/(17) = (24)/(√(17))$

Now replace y with the value we found, and solve for x in the second equation.

$(24 √(17))/(17) = 4x$

$(6 √(17))/(17) = x$

$x = (6 √(17))/(17) = (6)/(√(17))$

The coordinates of the point of intersection are

$((6)/(√(17)), (24)/(√(17)))$

This point of intersection is one endpoint of the radius.

The other endpoint of the radius is the origin.

Now we need to find the the length of the radius.

$r = √((x_2 - x_1)^2 + (y_2 - y_1)^2)$

$r = \sqrt{((6)/(√(17)) - 0)^2 + ((24)/(√(17)) - 0)^2}$

$r = \sqrt{(36)/(17) + (576)/(17)}$

$r = \sqrt{(612)/(17)}$

$r = √(36)$

$r = 6$

Answer: The radius is 6 units long, choice C.

Answer:

Step-by-step explanation:

edge21

Mary is booking a 4-night stay at a hotel. The rate is $79 per room plus tax. If state tax is 6%, city tax is 2%, and municipal tax is 1%, what is her total lodging cost?