(x^2 - 3x + 1) - (x^2 + 2x + 7)
Distribute the negative
x^2 - 3x + 1 - x^2 - 2x - 7
Combine like terms
-5x - 6
The awnser for question 5 is 4/6
X = pencils, y = pens
8x + 6y = 8.50
4x + 4y = 5.....multiply by -2
----------------
8x + 6y = 8.50
-8x - 8y = -10 (result of multiplying by -2)
-----------------add
-2y = - 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75
4x + 4y = 5
4x + 4(0.75) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 0.50 <== pencils cost 0.50
Hello,
8/(x-7)=7/2
==>(x-7)*7=8*2
==>7x-49=16
==>7x=65
==> x =9+2/7
Answser A
Step-by-step explanation:
It's a question of trigonometry.
You need to remember that tangent (tan) stands for Perpendicular / Base.
So, tan P = QR / PR
By Pythagoras Theorem,
34² = 30² + x²
x² = 34² - 30²
x² = 1156 - 900
x² = 256
x = 16
Now, placing the values,
tan P = 30 / 16
tan P = 1.875
HOPE IT HELPS ^_^