Answer:
The answer is k = 4.
Step-by-step explanation:
Given:
Y = 8 and X = 2.
Now, to solve direct variation.
direct with 
.
Now, using equation to solve direct variation:
Dividing both sides by 2 we get:
.
Therefore, the answer is k = 4.
Answer:
b=2.5
p=6
Step-by-step explanation:
Take the fraction and simplify it. So 10/8 would be 5/4
You multiply the 2 by 2, giving you h/4
So now you have 5/4=h/4
h=5 but now you have to divide both by 2 again so it can go back to the original fraction.
5÷2=2.5 and 4÷2=2
Second Problem! 4/2 is equal to 2/1
You can also multiply 4 by 3 to get the numerator as 12. Multiply the 4 by 3 and the 2 by 3
Now you have 12/6= 12/p
So p is 6
Answer:
I could be wrong, but I think it's x=12
The first step is to find the slope. Use the slope formula
m = (y2-y1)/(x2-x1)
The two points are (x1,y1) = (-1,5) and (x2,y2) = (2,-1)
So,
x1 = -1
y1 = 5
and
x2 = 2
y2 = -1
will be plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-1-5)/(2-(-1))
m = (-1-5)/(2+1)
m = (-6)/(3)
m = -2
The slope is -2
Use m = -2 and one of the points to find the y intercept b. I'll use the point (x,y) = (-1,5) ---> x = -1, y = 5
y = mx+b ... slope intercept form
5 = -2*(-1)+b
5 = 2+b
5-2 = 2+b-2
3 = b
b = 3
The y intercept is 3
-----------------------------------
m = -2 is the slope
b = 3 is the y intercept
Therefore y = mx+b turns into y = -2x+3 as the equation that goes through the two points
Answer:
cupboard is 1.2 m wide.
Will a stick 1m 5cm long fit across the cupboard?
Give reasons for your answer
