Answer:
(x,y) = (
,
)
Step-by-step explanation:
We have to find point of intersection of two lines.
the given equations of line are:
10x - 4y = 43 - (1)
-3x - 3y = -15 - (2)
Multiplying the first equation by 3 we have:
(10x - 4y = 43)×3 = 30x - 12 y = 129 - (3)
Multiplying second equation by 10 we have :
(-3x - 3y = -15)×10 = -30x -30y = -150 - (4)
Now, adding equation (3) and (4) we have:
-42y = -21
⇒ y = 
Now, putting this value of y in equation (1), we have
10x - 2 = 43
⇒ 10x = 45
⇒x = 
Hence, the intersection of given two lines is (x,y) = (
,
)
Answer:
D: 14q + 21√qr
Step-by-step explanation:
We want to find the product of;
(2√q + 3√r) and 7√q.
Where p and q are integers.
Using distributive property, we have;
(2√q × 7√q) + (3√r × 7√q)
>> 14q + 21√qr
Correct option is D
Denote by M the point of intersection of the medians.
Denote also the distance DM by x and the distance QM by y.
From the median properties of triangles we know that

Also,

Since the medians are perpendicular, we deduce that:

Then, since
Answer:
I believe the answer is 1)
Step-by-step explanation:
Answer:
The answer is √5 .
Step-by-step explanation:
You have to rationalize the fraction in order to get rid of surd in the denorminator by multiplying √3 to both numerator amd denorminator :






