Equation of a line that is perpendicular to given line is 
.
Equation of a line that is parallel to given line is 
.
Solution:
Given line 
.
Slope of this line, 
= 
Slope of perpendicular line, 
Passes through the point (–7, 5). Here 
.
Point-slope formula:
Subtract 7 from both sides, we get
Equation of a line that is perpendicular to given line is .
To find the parallel line:
Slopes of parallel lines are equal.
Passes through the point (–7, 5). Here .
Point-slope formula:
Subtract 7 from both sides,
Equation of a line that is parallel to given line is .
Answer:
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Step-by-step explanation:
The volume of a hemisphere (
), measured in cubic centimetres, is obtained from this formula:
Where 
is the radius of the hemisphere, measured in centimetres.
We know that radius is the half of the diameter (
), measured in centimetres, then:
(
)
Now, we get the volume of each hemispherical bowl:
The total volume of six hemispherical bowl is:
From Physics we know that 1 litre equals 1000 cubic centimetres. Then:
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Answer:
x = 32°
Step-by-step explanation:
∆KLM is an isosceles triangle because it has two equal sides, KL & KM. Therefore, the angles opposite to each of the two equal sides, which are referred to as the base angles are congruent to each other.
m<KML = m<KLM = 58°
m<MKL = 180 - (58 + 58) (Sum of triangle)
m<MKL = 64°
m<JKM = 180 - m<MKL (linear pair theorem)
m<JKM = 180 - 64 (Substitution)
m<JKM = 116°
∆JKM is also an isosceles triangle with two equal sides. Therefore, it's based angles (x & <J) would also be equal to each other.
Thus:
x = ½(180 - m<JKM)
x = ½(180 - 116) (Substitution)
x = 32°
The discount rate is the discount amount ($8) divided by the regular price, as a percentage.65/8=8.125 rounded to 8 so 8%.
Set each factor to zero
X-6=0
X-1=0
Solve for X
X=6
X=1
Therefore, the answer is C
