Answer:
a) k = 5; (-10, -35)
Step-by-step explanation:
Given:
Co-ordinates:
Pre-Image = (-12,3)
After dilation
Image = (-60,15)
The dilation about the origin can be given as :
Pre-Image
where 
represents the scalar factor.
We can find value of for the given co-ordinates by finding the ratio of 
or 
co-ordinates of the image and pre-image.
For the given co-ordinates.
Pre-Image = (-12,3)
Image = (-60,15)
The value of 
or 
As we get 
for both ratios i.e of and co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.
To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.
Pre-Image
Image
Pre-Image Image
(Answer)
ANSWER
1001
EXPLANATION
The sum of the first n - natural numbers is
The sum of the first 1000 terms is
The sum of the first 1001 terms is
The difference is
Answer:
The pressure exerted by gas number 3 is 159 mmHg
Step-by-step explanation:
To answer this question, the law to Use is Dalton’s law of partial pressure
Dalton’s law of partial pressure states that for a mixture of gases which do not mix, the total pressure exerted by such gases is equal to the sum of the individual pressure.
Now for the three gases, the total pressure Pt is equal to P1 + P2 + P3
Now we have Pt = 950 mmHg, P1 = 335 mmHg and P2 = 456 mmHg
P3 = Pt-P1-P2
Plugging the values above, we have ; 950-335-456 = 159 mmHg
Answer:
x <3
Step-by-step explanation:
13x-4 < 12x-1
Subtract 12x from each side
13x-12x-4 < 12x-12x-1
x-4 <-1
Add 4 to each side
x-4+4<-1+4
x <3
