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sdas [7]
4 years ago
6

A circle is shown. Secants R S and R T intersect at point R outside of the circle. Secant R S intersects the circle at point U.

Secant R T intersects the circle at point V. The length of R U is 6, the length of U S is 10, and the length of R V is 8.
If secant segments SR and TR intersect at point R, find the length of VT.

Start by relating the secants and segments theorem to this diagram:

(RS)() = ()(RV)

Substitute values from the diagram into the equation:

(16)() = ()(8)

Solve for VT:

VT =
Mathematics
2 answers:
allsm [11]4 years ago
7 0

Answer:

Everything in -> [x]

(RS) [(RU)] = [(RT)] (RV)

(16) [(6)] = [(8+VT)] (8)

VT = [4]

Step-by-step explanation:

I just did the assignment, you're welcome.

Leno4ka [110]4 years ago
7 0

Answer:

(RS) [(RU)] = [(RT)] (RV)

(16) [(6)] = [(8+VT)] (8)

VT = [4]

Step-by-step explanation:

Here mi amor

jk

Lol

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What multiplies into negative 20 and adds into 19?
Artist 52 [7]
20 and -1: they add into 19 and since a negative times a positive is a negative they multiply to -20
7 0
4 years ago
(a^3+14a^2+33a-20)\(a+4)
Oksi-84 [34.3K]
Perhaps you meant   <span>(a^3+14a^2+33a-20)   /   (a+4), for division by (a+4).  

Do you know synthetic division?  If so, that'd be a great way to accomplish this division.  Assume that (a+4) is a factor of </span>a^3+14a^2+33a-20; then assume that -4 is the corresponding root of a^3+14a^2+33a-20.

Perform synth. div.  If there is no remainder, then you'll know that (a+4) is a factor and will also have the quoitient.

-4  /   1   14   33   -20
     ___    -4_-40    28___________
          1   10   -7       8

Here the remainder is not zero; it's 8.  However, we now know that the quotient is 1a^2 + 10a - 7 with a remainder of 8.
8 0
3 years ago
Mr. Jones purchased two sodas.
kondaur [170]

Answer:

  the prices were $0.05 and $1.05

Step-by-step explanation:

Let 'a' and 'b' represent the costs of the two sodas. The given relations are ...

  a + b = 1.10 . . . . the total cost of the sodas was $1.10

  a - b = 1.00 . . . . one soda costs $1.00 more than the other one

__

Adding these two equations, we get ...

  2a = 2.10

  a = 1.05 . . . . . divide by 2

  1.05 -b = 1.00 . . . . . substitute for a in the second equation

  1.05 -1.00 = b = 0.05 . . . add b-1 to both sides

The prices of the two sodas were $0.05 and $1.05.

_____

<em>Additional comment</em>

This is a "sum and difference" problem, in which you are given the sum and the difference of two values. As we have seen here, <em>the larger value is half the sum of the sum and difference</em>: a = (1+1.10)/2 = 1.05. If we were to subtract one equation from the other, we would find <em>the smaller value is half the difference of the sum and difference</em>: b = (1.05 -1.00)/2 = 0.05.

This result is the general solution to sum and difference problems.

5 0
3 years ago
Please help me please
marishachu [46]

Answer:

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4 0
3 years ago
I will give BRAINLIEST PLS HELP y = x + 1/2 and z = 2x - 3, which of the following is equivalent to y + yz? PLS HELP
STALIN [3.7K]

Answer:

y+yz is: 2x^2-2x-1

Step-by-step explanation:

Given expressions are:

y = x+\frac{1}{2}\\z = 2x-3

The given expressions are polynomials and we have to find the value of y+yz

First of all, we will find the product of y and z

We will use the distribution to find the product.

yz = (x+\frac{1}{2})(2x-3)\\= x(2x-3)+\frac{1}{2}(2x-3)\\= 2x^2-3x+x-\frac{3}{2}\\=2x^2-2x- \frac{3}{2}

The next step is to add y and yz

y+yz = (x+\frac{1}{2})+(2x^2-3x-\frac{3}{2})\\Combining\ like\ terms\\= 2x^2+x-3x+\frac{1}{2} -\frac{3}{2}\\=2x^2-2x + \frac{1-3}{2}\\=2x^2-2x+\frac{-2}{2}\\=2x^2-2x-1

The answer is not one of the options which i assume might be a typing mistake.

Hence,

y+yz is: 2x^2-2x-1

6 0
3 years ago
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