Can someone help with 29, 30, 31, and 32 please!

The distance between Henry's house and his school is 648 feet. How many yards are equivalent to 648 feet?

vlabodo [156]

Answer:

216 yards

Step-by-step explanation:

There are 3 feet in a yard, so the number of yards is equal to the number of feet divided by 3.

648/3 = 216

5 0

3 years ago

Read 2 more answers

Point O is the center of the circle. What is the value of X? Answer options: 24, 15, 27, 20

Tanya [424]

Answer: FIRST OPTION

Step-by-step explanation:

To solve this problem you must apply the Intersecting Secant-Tangent Theorem. By definition, when a secant line and a tangent lline and a secant segment are drawn to a circle from an exterior point:

$(Tangent\ line)^2=(Secant\ line)(External\ Secant\ line)$

The total measure of the secant shown is:

$18+Diameter$

If the radius is 7, then the diameter is:

$D=7*2=14$

Therefore:

$Secant\ line=18+14=32$

You also know that:

$External\ Secant\ line=18\\Tangent\ line=x$

Keeping the above on mind, you can substitute values and solve for x:

$x^{2}=32*18$

$x=\sqrt{576}\\x=24$

4 0

2 years ago

Factor 80t - 16t = 0 help?

Alinara [238K]

I don't know if that is factor-able. It looks like you could just subtract and get 64t. which would lead to the answer being zero since you divide by zero when isolating the variable t.

6 0

3 years ago

How do you simplify the square root of 48

noname [10]

When you simplify the square root of a number, you are looking for factors of the number that are perfect squares that you can remove from under the radical. For example sq root of 8... it's not a perfect square but factors of 8 include 2 x 4... 4 is a perfect square so we can take it out of the radical by taking it's square root. Now you are left with 2* sq root of 2.

For sq root of 48

48 = 12 x 4

12 = 3x4 so we can say 48 = 3x4x4

so... sq root 48 = sq root 3x4x4

we have two 4's under the radical. Sq root x^2 = x so sq root 4^2 is 4

Pull it out from the radical and we are left with 4 * sq root 3

4 0

3 years ago

Again help, i don’t understand this at all

Semenov [28]

Answer:

The difference quotient of f is 8. Option C

Explanation:

Difference Quotient

Given a function f(x), the difference quotient is defined as

$\displaystyle d=\frac{f(h+h)-f(x)}{h},\ h\neq 0$