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Westkost [7]
3 years ago
9

Whats the solution to x-7>-5

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0
X-7 > -5
x < -5-7
x < -12
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PLEASE HELP!!!
vovikov84 [41]

Answer:

Both the parts of this question require the use of the "Intersecting Secant-Tangent Theorem".

Part A

The definition of the Intersecting Secant-Tangent Theorem is:

"If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment."

This, when applied to our case becomes, "The length of the secant RT, times its external segment, ST, equals the square of the tangent segment TU".

Mathematically, it can be written as:

Part B

It is given that RT = 9 in. and ST = 4 in. Thus, it is definitely possible to find the value of the length TU and it can be found using the Intersecting Secant-Tangent Theorem as:

Thus,  

Thus the length of TU=6 inches

6 0
3 years ago
Choose the correct simplification of (4x3 + 3x2 − 6x) − (10x3 + 3x2).
Ray Of Light [21]
Answer:
-6x (x + 1)(x - 1)

Explanation:
Before we begin, remember the following:
(-ve) * (-ve) = +ve
(-ve) * (+ve) = -ve
(+ve) * (+ve) = +ve
(+ve) * (-ve) = -ve
a² - b² = (a + b)(a - b)

Now, for the given:
(4x³ + 3x² - 6x) - (10x³ + 3x²)
First, we eill remove the brackets based on the rules mentioned above. This will give us:
4x³ + 3x² - 6x - 10x³ - 3x²
Now, we will combine like terms as follows:
(4-10)x³ + (3-3)x² - 6x
-6x³ - 6x
Taking -6x as a common factor:
-6x (x² - 1)
Factoring the bracket as difference between two squares will give us the final simplest form:
-6x (x + 1)(x - 1)

Hope this helps :)
7 0
3 years ago
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Kadeem earns a salary of $1,800 per month plus a 10% commission on his sales. In order to save money for the down payment on a h
docker41 [41]
I'm guessing 99.65
1800+10%-20%-25%=99.65
but it probably wrong

5 0
3 years ago
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What is the volume of a sphere with a diameter of 9.1 m, rounded to the nearest tenth of a cubic meter?
muminat
Hello the answer would be approximately 394.57 good luck with the test
7 0
2 years ago
Identify the polynomial.
Leona [35]

Answer:

Binomial

Step-by-step explanation:

P = a² + bcd³

The polynomial contains two terms, so it is a binomial.

6 0
3 years ago
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