Answer:
x = 7
Step-by-step explanation:
x+16 = 4x-5
7+16=23
4x7=28-5=23
Vertical angle theorem states that angles vertically opposite to one another are equal
28. -1/3=r-3/4
Move -3/4 to the other side. Sign changes from -3/4 to +3/4
-1/3+ 3/4=r-3/4+3/4
-1/3+3/4=r
Find the common denominator for both of the fractions which is 12. Multiply by 4 for -1/3. Multiply by 3 for 3/4.
-1/3(4)+3/4(3)= -4/12+9/12= 5/12
33. -5/6+c=-11/12
c=-11/12+5/6
Find the common denominator which is 12 for 5/6. Multiply by 2. 5*2=10, 6*2=12
c=-11/12+10/12=-1/12
34. s-1/9=5/18
s-1/9+1/9=5/18+1/9
Find the common denominator which is 18. Mutiply by 2 for 1/9 . 1*2=2, 9*2=18
s=5/18+2/18=7/18
Answers:
28. 5/12
33. -1/12
34. 7/18
The answer would be B) x = 4.
1.5x + 6 - 3 = 4.5x - 9
1.5x + 3 = 4.5x - 9
3 = 4.5x - 9 - 1.5x
3 = 3x - 9
3 + 9 = 3x
12 = 3x
12/3 = x
4 = x
x = 4.
Answer: 46.7 in/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
19.
a) to find thhe x- intercept we make y=0
x² +4x -5 = 0
(x+5)(x-1) =0
x+5=0 so x=- 5
x-1 =0 so x= 1
b)
y-intercept is at (0, -5)
c)
axis of symmetry is at
x=-b/2a =-4/2*1 = -2
x= -2
d)
vertex is at (-2, -9) because x coordinate is on the axis of symmetry at -2 and
y= x² +4x -5= (-2) ² +4(-2) -5 = 4-8-5 = 4-13 = -9