Answer:
B
Step-by-step explanation:
many different values of x lead to the same value of y.
hence, many-to-one.
but it does not mean that all values of x have to lead to the same value of y. it could be, but it is not demanded. so, it is not necessarily a horizontal line.
and this does not give us any information about the power of x involved. so, we cannot make any statement about linear or non-linear function.
Answer:
y=3/4x +3
Step-by-step explanation:
Find the slope first. y-y over x-x
Y: 9-6 =3
X 8-4 = 4
so the slope is 3/4
Now choose one of the ordered pairs to use to substitute to find the y intercept or "b" in y=mx + b
I chose 4,6 since the slope has a 4 in the denominator
Use y=mx + b
Y =6 from ordered pair m/slope= 3/4 x= 4 from ordered pair and you are looking for b
6= 3/4 (4) + b
6= 12/4 or 3 + b subtract 3 from both sides
3= b
equation is y=3/4x +3
Answer/Step-by-step explanation:
Given:
m<3 = 54°
m<2 = right angle
a. m<1 + m<2 + m<3 = 180° (angles in a straight line)
m<1 + 90° + 54° = 180° (substitution)
m<1 + 144° = 180°
m<1 = 180° - 144°
m<1 = 36°
b. m<2 = 90° (right angle)
c. m<4 = m<1 (vertical angles)
m<4 = 36° (substitution)
d. m<5 = m<2 (vertical angles)
m<5 = 90°
e. m<6 = m<3 (vertical angles)
m<6 = 54°
f. m<7 + m<6 = 180° (same side interior angles)
m<7 + 54° = 180° (substitution)
m<7 = 180 - 54
m<7 = 126°
g. m<8 = m<6 (alternate interior angles are congruent)
m<8 = 54°
h. m<9 = m<7 (vertical angles)
m<9 = 126°
i. m<10 = m<8 (vertical angles)
m<10 = 54°
j. m<11 = m<4 (alternate interior angles are congruent)
m<11 = 36° (substitution)
k. m<12 + m<11 = 180° (linear pair)
m<12 + 36° = 180° (substitution)
m<12 = 180° - 36°
m<12 = 144°
l. m<13 = m<11 (vertical angles)
m<13 = 36°
m. m<14 = m<12 (vertical angles)
m<14 = 144° (substitution)
Answer: x=7 and AC = 44 unuts.
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other. (i)
Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.
BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6
Using (i)

Now , AE = 4(7)-6 = 28-6 = 22
AC =2 AE = 2 (22) =44 units.
Hence, x=7 and AC = 44 unuts.
Answer:
d=sqrt(18^2+24^2)=30
Step-by-step explanation: