Answer:
-7
Step-by-step explanation:
-8 = (-1/4)(4) + b
-8 = -1 + b
b = -7
Answer:
since if we are testing the null hypothesis at the 95% confidence level is that the difference of the two means is not significant at the 95% confidence level, so the null hypothesis must be rejected.
Hence option 3) is correct.
so.... notice, using the p/q factors, we ended up using 3/1 or just 3, so the root of x = 3, which gives us the factor of x-3 then
then you factor the quadratic, then set f(x) to 0, and solve each for "x"
Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x + 5y = 10 into this form
Subtract x from both sides
5y = - x + 10 ( divide all terms by 5 )
y = - 
x +2 ← in slope- intercept form
with slope m = -
• Parallel lines have equal slopes, hence
y = - x + c ← is the partial equation of the parallel line
To find c substitute (1, 3) into the partial equation
3 = - + c ⇒ c = 
y = - x + ← equation of parallel line
