Answer:
C. 18 cm
Step-by-step explanation:
The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio
3 : 4 : 5 = 9 : 12 : 15
Half of XY is 9 cm, so the length of the entire chord is 18 cm.
_____
The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).
The unknown side (a) can be found from ...
15² = 12² +a²
225 -144 = a² . . . . . . subtract 12²
81 = a² . . . . . . . . . . . simplify
9 = a . . . . . . . . . . . . . take the square root
The chord length is 2a, so is ...
2(9 cm) = 18 cm . . . . length of chord XY
I don’t know maybe try google
Answer:
C
Step-by-step explanation:
given a function f(x) then
f(x) + c ← denotes a vertical translation of f(x)
• If c > 0 then shift vertically up
• If c < 0 then shift vertically down
Here the vertex of f(x) is at the origin and the vertex of g(x) is (0, 3 ), that is 3 units vertically up
Hence g(x) = x² + 3 → C
The errors Emma made are
- She should have used division to represent the quotient of six and x
- She should have used parentheses to show that - 2 is multiplied by (x - 4.5)
<h3>Writing an expression as an equation</h3>
From the question, we are to determine the errors that Emma made
The given statement is
"The quotient of six and a number, x, is the same as negative two times the difference of x and 4.5"
"The quotient of six and a number, x", can be expressed as
6/x
"Two times the difference of x and 4.5", can be expressed as
2(x - 4.5)
Hence, the errors Emma made are
- She should have used division to represent the quotient of six and x
- She should have used parentheses to show that - 2 is multiplied by (x - 4.5)
Learn more on Writing an expression as an equation here: brainly.com/question/13155862
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Answer:
7. 6
8. 6
9. 12
10. 6
11. 12
12. 24
Step-by-step explanation:
