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Elena L [17]
3 years ago
9

#15-22 a lil help please

Mathematics
1 answer:
barxatty [35]3 years ago
3 0
15) G[greater than or equal to] 25
16) C[less than or equal to] 50

Sorry I couldn’t graph more- I’m in the car and the only paper I have is a gum wrapper ;(

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In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.<br>​
Lemur [1.5K]

In both cases,

AB^2=AD^2

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

(4x+7)^2=(6x-3)^2

16x^2+56x+49=36x^2-36x+9

20x^2-92x-40=0

5x^2-23x-10=0

(5x+2)(x-5)=0\implies\boxed{x=5}

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

(4x^2-18x-10)^2=(x^2+x+4)^2

16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16

15x^4-146x^3+235x^2+352x+84=0

(x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}

(again, omit the solutions that would give a negative length for either AB or AD)

7 0
3 years ago
Is 9.78083 a rational number
Alexus [3.1K]
No it’s not as its not constant and its a fraction
4 0
3 years ago
Read 2 more answers
Suppose A and B are dependent events. If P(A) = 0.5 and P(BIA) = 0.6, what is
klasskru [66]

If the probability of independent event A is 0.5, then P(A|B) will be 0.5. Then the correct option is B.

<h3>Which pair of events are called independent events?</h3>

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

P(A ∩ B) = P(A)P(B)

Comparing it with chain rule will give

P(A|B) = P(A)

P(B|A) = P(B)

Suppose A and B are dependent events.

If P(A) = 0.5

Then P(A|B) will be

P(A|B) = P(A)

P(A|B) = 0.5

Then the correct option is B.

Learn more about probability here:

brainly.com/question/1210781

#SPJ1

4 0
2 years ago
What are the benefits to using technology over a handheld compass and straightedge?
Nady [450]
A benefit is the technology can be more aaurate and you can use a compass and a straightedge wrong and get lost. Also the compass can break
7 0
3 years ago
What is 34/38 in simplest form? ( please show the work)
olga55 [171]
34 and 38 are both multiples of 34 and 38 so divide each by 2
34/38 = 17/19
this is its simplest form as it cannot be cancelled down any more

4 0
3 years ago
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