Slope = 75
Y-intercept = 150
Answer:
20 weeks
Step-by-step explanation:
you take the total quantity of paper (4 cases times 8 reams per case = 32 reams.
If they use 3 reams every 2 weeks, it will take 22 weeks to use 33 reams
round it to the nearest ten would be 20 weeks!
Answer:
From the given information, the value of a is 3 and the measurement of ∠R is 25°
Step-by-step explanation:
For this problem, we have to find the value of a and the measurement of ∠R. We are given some information already in the problem.
<em>ΔJKL ≅ ΔPQR</em>
This means that all of the angles and all of the sides of each triangle are going to be equal to each other.
So, knowing this, let;s find the measurement of ∠R first.
All triangles have a total measurement of 180°. We are already given two angle measurements. We are given that the m∠P is 90° because the small box in the triangle represents a right angle and right angles equal 90°. We are also given that the m∠Q is 65° because ∠Q is equal to ∠K so they have the same measurement. Now, let's set up our equation.
65 + 90 + m∠R = 180
Add 65 to 90.
155 + m∠R = 180
Subtract 155 from 180.
m∠R = 25°
So, the measurement of ∠R is 25°.
Now let's find the value of a.
KL is equal to PQ so we will set up an equation where they are equal to each other.
7a - 10 = 11
Add 10 to 11.
7a = 21
Divide 7 by 21.
a = 3
So, the value of a is 3.
Answer:
y=3x+2
Step-by-step explanation:
y=mx+b
we have m here so
y=3x+b
then the 2 is the y-intercept
y=3x+2
Answer:
Option B is correct
Step-by-step explanation:
Given is a cos funciton.
Period = 3
Max = 20 and minimum =0
Hence centre line is y = 1/2 (max+min)
i.e. y =10 is the central line
Let the funciton be of the form
y = a cos (bx+C)+d
We got d = 10...i
Period =3
Hence b =
... ii
Amplitude = a = distance of max from central line = 20-10 =10...iii
Since reflection over x axis, sign of a =negative
a=-10
Since no horizontal shift, c=0 ... iv
Put to gether the function is
