Answer:
Step-by-step explanation:
Arc(AB) = 102 degrees
Arc(ADB) = 360 - 102 = 258
<span>1.)what is the factored form of 72x-9
= 9(8x -1)
2.) expand: -3(-4y-9x)
= 12y + 27x
3.)simplify: 6(-5y+3)-25
= -30y + 18 -25
= -30y - 7
4.) write an equivalent expression for 15m-3
= 3(5m-1)
5.) simplify: 3/4 (16g-28h)-10h
= 12g - 21h - 10h
= 12g - 31h</span>
Answer:
A
1) horizontal translation of 2 units towards left
2) vertical translation of 10 units upwards
B)
1) k = -2
2) k = 10
C)
1) g(x) = f(x + 2)
2) g(x) = f(x) + 10
Step-by-step explanation:
A & B)
1) horizontal translation of 2 units towards left
2) vertical translation of 10 units upwards
C)
1) g(x) = f(x + 2)
2) g(x) = f(x) + 10
Answer:
(-2,9)
(2,-9)
Step-by-step explanation:
The point Q of quadrilateral QRST has coordinate (-9,2).
When this point is reflected across the y-axis , we negate the x-coordinate to obtain .
This point is again rotated through an angle of 90 degrees(counterclockwise) about the origin.
The rule for 90 degrees counterclockwise rotation is .
Therefore the image of Q(-9,2) after a reflection across the y-axis followed by a 90 degrees counterclockwise rotation about the origin is is Q'(-2,9).
However, the rotation could also be clockwise.
The rule for 90 degrees clockwise rotation is .
The image of Q(-9,2) after a reflection across the y-axis followed by a 90 degrees clockwise rotation about the origin is is Q'(2,-9).
Both answers are there, so you can check them since the question did not specify the direction.
Answer:
= The exponent is 12
Step-by-step explanation:
(9.1 × 10^9)(7.5 × 10^2)
When multiplying terms in scientific notation, we multiply the numbers in front and add the exponents
(a* 10^b) (c* 10^d) = ac * 10^(b+d)
(9.1 × 10^9)(7.5 × 10^2) = (9.1*7.5) * 10^(9+2)
=68.25 * 10^11
But this is not proper scientific notation. We can only have 1 number in front of the decimal. We need to move the decimal 1 place to the right. That adds 1 to the exponent.
=68.25 * 10^11 = 6.825 * 10^(11+1)
= 6.825 * 10^12