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malfutka [58]
3 years ago
13

Determine the possible smallest value(s) of x.

Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer:

x = 5, x = 7

Step-by-step explanation:

Tangents to a circle from an external point are congruent, that is

x² = 12x - 35 ( subtract 12x - 35 from both sides )

x² - 12x + 35 = 0 ← in standard form

Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)

The factors are - 5 and - 7, since

- 5 × - 7 = + 35 and - 5 - 7 = - 12, thus

(x - 5)(x - 7) = 0

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x - 7 = 0 ⇒ x = 7

smallest value of x is 5

largest value of x is 7

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ziro4ka [17]
To find 10,000 more than 6,310, you add; so the answer is 16,310
3 0
3 years ago
I really need the answers to these cuz they'll make or break my grade
MrMuchimi

Answer:

whats the question? its a little blurry and hard to see

Step-by-step explanation:

8 0
3 years ago
Suppose that a group of 10 students are to be assigned to four dorm rooms: a single, a double, a triple and a quad. How many way
Nesterboy [21]

Answer:

Total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200

Step-by-step explanation:

We have given number of students = 10

These 10 students are assigned to four dorm rooms a single, a double, a triple and a quad

So number of ways to assigned single student =^{10}C_1=\frac{10!}{1!9!}=10\\

Now left student = 10 -1 = 9

So number of ways to assigned double student =^{9}C_2=\frac{9!}{2!7!}=36

Now left student = 9-2 = 7

So number of ways to assigned triple student =^{7}C_3=\frac{7!}{2!4!}==70

Now left student = 7 - 3 = 4

So number of ways to assigned quad student =^{4}C_4=\frac{4!}{4!0!}=1

So total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200

6 0
3 years ago
8. Look at the pattern.<br> What is the next figure in the pattern?
jeka94

Answer:

The first shape

Step-by-step explanation:

as you can tell the side numbers are increasing for example...

triangle=3 sides

square=4 sides

pentagon=5 sides

so on and so forth

have a wonderful day!

6 0
2 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP ME I’M STRUGGLING PLEASE I NEED HELP NO ONE IS HELPING ME WHYYY
Simora [160]
22.5 is the answer i think
5 0
3 years ago
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