B - 45 because 27 divided by 6 is 4.5 and then 10x4.5=44
Answer:
(11/4) is the slope
Step-by-step explanation:
1) Subtract the second y value (-9) by the first y value (2) in the coordinates. This equals 11.
2) Then, subtract the second x value (-3) by the first x value (1) in the coordinates. This equals 4.
3) Divide the answer you get for step one by the answer for step 2 and that's your slope. 11/4
Answer:
-37/68
Step-by-step explanation:
3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4
(21/2x+6)-(1/2+2)=(3/2x-3/8)-1/4
(21/2x-1/2x)+(6-2)=3/2x-3/8-1/4
10x+4=3/2x-5/8
37/8=-17/2x
37/8 (2)=-17/2x(2)
37/4=-17x
37/68=-x
-37/68=x
Answer:
Step-by-step explanation:
Given that:
for 
That means, angle 
is in the 3rd quadrant.
To find:
Value of cot(t)
Solution:
First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.
In 3rd quadrant, tangent and cotangent are positive.
All other trigonometric ratios are negative.
Let us have a look at the following identity:
here, 
So, 
But, angle is in 3rd quadrant, so value of
Answer:
Father's age is 50, Son's age is 10
Step-by-step explanation:
X+Y=60
X-Y= 40
Let X represent the Father's age while Y represents the Son's age;
therefore, from the two equations, the value of X is
X= 60-Y
X= 40+Y then putting in the value of x
(40+Y) + Y= 60,
40+2Y=60
2Y=60-40 =20
Y= 10,
Now that we know the value of Y, we can get the value of x
If X+Y=60, then
X+10=60,
X=60-10,
X= 50
