Answer:
2x + 15
Step-by-step explanation:
When you subtract an expression from another expression, it will be on the right side of the subtraction sign.
(4x + 9) - (2x - 6)
First, let's distribute the negative sign.
(4x + 9) - 2x + 6
Now combine like terms.
4x - 2x + 9 + 6
2x + 15
This is the fully simplified expression.
Hope this helps!
Answer:
See explaination
Step-by-step explanation:
See attachment for diagram
The r value is 0.373 (low). This implies a weak correlation between the dependent and independent variables for this sample.
The overall p- value for the regression model is 0.0017. This implies that at least one of the two independent variables (x1 or x2) in the model is significant predictor of the dependent variable y.
p- values for the both "Fact" and "Star" are < 0.05. This means both the independent variables are significant predictors of the "Rating" at 95% confidence level. The variable "Fact" is significant at 99% level of confidence also. This means the rating viewers award to a movie depends upon both the storyline (fact or Fiction) and the presence or absence of stars.
Expected rating for a fact based movie with no stars = 1.7991(1) + 1.2586(0) + 12.5685 = 14.37
Expected rating for a fiction based movie with a star = 1.7991(0) + 1.2586(1) + 12.5685 = 13.83
So, one may expect a fact based movie without any stars to get better ratings than a fiction based movie with one star.
The standard equation of the circle is:
(x-h)^2+(y-k)^2=r^2 where (h,k) it the center of the circle and r is the radius...
so
30.
(x-2)^2+(y-7)^2=16
31.
We need to find the radius...(I'll just use the Pythagorean Theorem)
r^2=6^2+8^2
r^2=36+64
r^2=100 (so the radius is 10) and its center is (-6,-8) so
(x+6)^2+(y+8)^2=100
Answer:
angle Z=20°
side xy≈15.36
hypotenuse≈19.49
Step-by-step explanation:
Find angle z adding the other two angles and subtracting that by 180 to get 20.
(12)tan(20) gets you side xy which is 15.36
12^2+15.36^2=xz^2