MATHEMATICS HIGH SCHOOL

Find x in picture below.
a. 4
b. 6
c.12

Answers

Answer 1

Answer:

Answer:

C.12

Step-by-step explanation:

Apply the formula for tangent-secant

Let the cord length inside the circle to be y

According to the tangent-secant relation

(3+y)/6 = 6/3

cross multiply

3(3+y)=6*6

9+3y=36

3y=36-9

3y=27

y=27/3

y=9

Distance x = y+3

x=9+3=12

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Simplify 2a2b3(4a2 + 3ab2 – ab) = ? A. 8a4b3 + 6a3b5 + 2a3b4
B. 8a4b3 + 6a3b5 – 2a3b4
C. 8a4b5 + 3a3b5 – 2a3b4
D. 8a4b5 + 3a3b5 + 2a3b4

Answers

2a²b³(4a² + 3ab² - ab)
2a²b³(4a²) + 2a²b³(3ab²) - 2a²b³(ab)
8a⁴b³ + 6a³b⁵ - 2a³b⁴

The answer is B.

Determine whether (6,4) is a solution of y = 19x - 2.

Answers

Answer:

Not a solution

Step-by-step explanation:

To determine if a pair of coordinates is the solution to an equation, just plug it in.

Given that the equation is:

y = 19x - 2

And the coordinates they give us to evaluate:

(6, 4)

Plug the coordinates in:

y = 19x - 2

4 = 19(6) - 2

4 = 114 - 2

4 = 112

4 ≠ 112

4 is not equal to 112. Therefore this pair is not the solution.

Answer: No, it's not a solution.

Explanation

The point (6,4) tells us that x = 6 and y = 4 pair up together.

Plug those values into the equation. Simplify both sides as much as possible (use PEMDAS). If we get the same thing on both sides, then that point is a solution to the equation.

y = 19x - 2

4 = 19*6 - 2

4 = 114 - 2

4 = 112

We get different values on each side. Therefore, the point (6,4) is not a solution to the equation.

Another approach you could do is graph the equation using a tool like Desmos. GeoGebra works as well. The point (6,4) is not on the diagonal line. Check out the diagram below to see what I mean.

If f(x)= 2x, find f(-3)
please help, I'm so confused ;-;

Answers

Answer:

-6

Step-by-step explanation:

2 x -3 = -6

hope this helped

What is 68,642 rounded to the nearest thousand?

Answers

68,642 rounded to the nearest thousand is 69,000.

It's because 68,642 is closer to 69,000 than to 68,000.

I hope it will help you and give a clue for rounding numbers in the future ;)

The rule of rounding numbers up is if it's 5 or up, round it. Since your number is 68,642, it would round to 69,000. Because the 6 in the hundreds place is greater than 5.

Make a the subject of the formula: v^2=u^2+2as. Please help & show working