Simplify <br> Rewrite the expression in the form 4n (4^11)(4^-8)

The figure below shows concentric circles, both centered at 0.0

Rama09 [41]

Answer:

C. 18 cm

Step-by-step explanation:

The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio

3 : 4 : 5 = 9 : 12 : 15

Half of XY is 9 cm, so the length of the entire chord is 18 cm.

_____

The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).

The unknown side (a) can be found from ...

15² = 12² +a²

225 -144 = a² . . . . . . subtract 12²

81 = a² . . . . . . . . . . . simplify

9 = a . . . . . . . . . . . . . take the square root

The chord length is 2a, so is ...

2(9 cm) = 18 cm . . . . length of chord XY

7 0

4 years ago

Nth Term: How do you work out these 3?

Vera_Pavlovna [14]

Question 3:

50-3n=5

therefore,

50-5=3n

45=3n

n=45/3

n=15

The 15th term of the sequence has a value of 5.

sorry i am not sure about the rest, i am new to this topic and have just started learning it.

8 0

4 years ago

What is the equation of the line that passes through<br> (-2, 4) and (2, 7)?

shepuryov [24]

Answer:

$y=\frac{3}{4}x+\frac{11}{2}$

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through (-2, 4) and (2, 7).

The most common way to write the equation of the line is in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

First, let's find the slope of the line.

The slope, calculated from two points is given as the formula $\frac{y_2-y_1}{x_2-x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points.

We have two points, which is needed to find the slope, but let's label their values to avoid confusion.

$x_1=-2\\y_1=4\\x_2=2\\y_2=7$

Now substitute those values into the formula.

m= $\frac{y_2-y_1}{x_2-x_1}$

m= $\frac{7-4}{2--2}$

Simplify

m= $\frac{7-4}{2+2}$

m= $\frac{3}{4}$

So the slope of the line is $\frac{3}{4}$ .

Substitute that value as m in y=mx+b

y= $\frac{3}{4}x+b$

Now we need to find b

As the equation passes through both (-2, 4) and (2, 7), we can substitute the values of either one of them in the equation to solve for b

Taking (-2, 4) for example,

Substitute -2 as x and 4 as y:

4= $\frac{3}{4}(-2)+b$

Multiply

4= $-\frac{3}{2}$ +b

Add -3/2 to both sides

$\frac{11}{2} = b$

Substitute that value into the equation

y= $\frac{3}{4}x+\frac{11}{2}$

Hope this helps!

5 0

3 years ago

The poInt (-3,2) is on the line given by which equation

sergejj [24]

There are an infinite amount of equations that pass through a single point. You must provide the slope or y-intercept to get a single equation.

Hope that clarifies.

8 0

3 years ago

Read 2 more answers

Can I please get help with number 4 and 5

meriva

For number five he descended -47

7 0

3 years ago

Simplify Rewrite the expression in the form 4n (4^11)(4^-8)