Answer:
x = -10
Step-by-step explanation:
Solve the equation by simplifying according to PEMDAS. Then use inverse operations to solve.
4(x+5) = 3(x-2) -2(x+2)
4x + 20 = 3x - 6 - 2x - 4
4x + 20 = x - 10
3x = -30
x = -10
Answer:
Width is 10 1/2 inches and the length = 21 inches.
Step-by-step explanation:
Let the width be x then the length us 2x inches.
Perimeter = 2x + 2(2x) = 63
6x = 63
x = 10 1/2 inches.
Point <em>A</em> represents the complex conjugate z₁ and point L represents the complex conjugate of z₂ respectively
The complex conjugate of a complex number is a complex number that having equal magnitude in the real and imaginary part as the complex number to which it is a conjugate, but the imaginary part of the complex conjugate has an opposite sign to the original complex number
Therefore, graphically, the complex conjugate is a reflection of the original complex number across the x-axis because the transformation for a reflection of the point (x, y) across the x-axis is given as follows;
Preimage (x, y) reflected across the <em>x</em> axis give the image (x, -y)
Where in a complex number, we have;
x = The real part
y = The imaginary part
The reflection of z₁ across the x-axis gives the point <em>A</em>, while the reflection of z₂ across the x-axis gives the point <em>L</em>
Therefore;
Point <em>A</em> represents the complex conjugate z₁ and point L represents the complex conjugate of z₂
Learn more about complex numbers here;
brainly.com/question/20365080
Step-by-step explanation:
you flip it from the line, match the letters (Z woube be C, X would be A, etc.) and then writw the new coordinates
Important notes:
3 sides 1 angle - COSINE RULE
2 sides 2 angle - SINE RULE
since, the question wants to find the length of BC. In the end we will have 3 sides and 1 angle and use cosine rule
formula of cosine rule:
a² = b² + c² - 2bc Cos A° (to find the length)
Cos A° = b² + c² - a² / 2bc ( to find the angle, if there is given three sides and have to find the angle)
So just substitute,
a² = 13² + 15² - 2(13)(15) Cos 95°
a = 20.6 or 21
