The forth picture is the one that represents 4.5
Answer:
35.w/g=m
36. P=1/2Q-15
37. R=IV
38. b=-mx+y
39. a) t=-d-e+f
b) t=19.175
40. No, X=-2.4
Step-by-step explanation:
Explanation for 40:
2(x-4)-4x=-6x+9x+4
first do the parentheses
2x-8-4x=-6x+9x+4
next combine like terms
-2x-8=3x+4
add 2x to each side
-8=5x+4
subtract 4 from each side
-12=5x
divide both sides by 5
x=-2.4
Answer:
6
Step-by-step explanation:
Multiply 7x+3 by 2. When you get 14x+6, set equal to 90 and solve for x.
Answer: ![2\ \dfrac{7}{12}\ \text{hours}](https://tex.z-dn.net/?f=2%5C%20%5Cdfrac%7B7%7D%7B12%7D%5C%20%5Ctext%7Bhours%7D)
Step-by-step explanation:
Given
Azmyne decided to study a total of ![6\ \frac{1}{2}\ hours](https://tex.z-dn.net/?f=6%5C%20%5Cfrac%7B1%7D%7B2%7D%5C%20hours)
She spent
on Friday and
on Saturday
Hours spent on Friday
![\Rightarrow 1\ \frac{1}{4}=\frac{5}{4}\ hours](https://tex.z-dn.net/?f=%5CRightarrow%201%5C%20%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B5%7D%7B4%7D%5C%20hours)
Hours spent on Saturday
![\Rightarrow 2\ \frac{2}{3}=\frac{8}{3}\ hours](https://tex.z-dn.net/?f=%5CRightarrow%202%5C%20%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B8%7D%7B3%7D%5C%20hours)
She must study for
![\Rightarrow \dfrac{13}{2}-\dfrac{5}{4}-\dfrac{8}{3}\\\\\Rightarrow \dfrac{13\times6-5\times3-8\times4}{12}=\dfrac{78-15-32}{12}\\\\\Rightarrow \dfrac{31}{12}=2\ \frac{7}{12}\ \text{hours}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B13%7D%7B2%7D-%5Cdfrac%7B5%7D%7B4%7D-%5Cdfrac%7B8%7D%7B3%7D%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B13%5Ctimes6-5%5Ctimes3-8%5Ctimes4%7D%7B12%7D%3D%5Cdfrac%7B78-15-32%7D%7B12%7D%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B31%7D%7B12%7D%3D2%5C%20%5Cfrac%7B7%7D%7B12%7D%5C%20%5Ctext%7Bhours%7D)
Remark
All you need is 2 points to get the line of the equation. One is itself (B and B') is the same in both triangles. Now we need to find one more point. Since this is a reflection, the midpoint between C and C' is the second point. That choice of C and C' is completely arbitrary.
Step One
y intercept of the line. That point is B which is (0,1)
Step Two
Find the midpoint between C and C'
C is (-4,-2) and C' is ( 0 , - 4) The midpoint is
C" = (x2 + x1)/2 , (y2 + y1)/2
C" = (-4 + 0 )/2 , (-2 + - 4) / 2
C" = (-4)/2 , - 6/2
C" = (-2, - 3) C" is the midpoint between C and C'
Step 3
Find the equation of the line.
y = ax + b We are trying to find A
y = ax + 1
-3 = a(-2) + 1
-3 - 1 = a(-2)
- 4 = a(-2) Divide by -2
-4/-2 = a
a = 2
The slope of the line is 2
Answer
y = 2x + 1