Answer:
it have no answer in real number(but it have in complex number if you know)
Step-by-step explanation:
4x^2+36=0
4x^2=-36
(if you know complex numbers see this: x^2=-9 then
)
We know that :
Ф Product of the slopes of two lines perpendicular to each other should be equal to -1
Let the slope of the line perpendicular to given line be : M
Given equation of the line : y = -1/2x + 4
This line is in the form : y = mx + c, where m is the slope and c is the y intercept
Comparing with y = mx + c :
we can notice that slope of the given line is -1/2
⇒ M × -1/2 = -1
⇒ M × 1/2 = 1
⇒ M = 2
<u>Answer</u> : Slope of the line perpendicular to given line is 2
*see attachment for the missing figure
Answer:
Angle ADE = 45°
Angle DAE = 30°
Angle DEA = 105°
Step-by-step explanation:
Since lines AD and BC are parallel, therefore:
Given that angle Angle CBE = 45°,
Angle ADE = Angle CBE (alternate interior angles are congruent)
Angle ADE = 45° (Substitution)
Angle DAE = Angle ACB (Alternate Interior Angles are congruent)
Angle ACB = 180 - 150 (angles on a straight line theorem)
Angle ACB = 30°
Since angle DAE = angle ACB, therefore:
Angle DAE = 30°
Angle DEA = 180 - (angle ADE + angle DAE) (Sum of angles in a triangle)
Angle DEA = 180 - (45 + 30) (Substitution)
Angle DEA = 180 - 75
Angle DEA = 105°
If this is a 30, 60, 90 triangle, which I think it is, it would b 4
Using a proportional relationship, the amounts are given as follows:
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For this problem, we have that:
- The input variable is the number of tennis players.
- The output variable is the number of soccer players.
From the first row of the table, the constant is given as follows:
k = 35/15 = 7/3.
Hence the relationship is:
y = 7/3x.
For the second row of the table, we have that x = 3, hence:
y = 7/3 x 3 = 7.
For the third row of the table, we have that y = 84, hence:
84 = 7/3x
x = 84 x 3/7
x = 36.
Then the amounts are given as follows:
More can be learned about proportional relationships at brainly.com/question/10424180
#SPJ1
