Step-by-step explanation:
Question 10 :
3x + 6 = 4x – 12 ( reason: corresponding angles due to parallel lines)
simplify and get x, thus x = 18
to find 3x + 6 or 4x - 12(which is both the same),
3(18) + 6 = 60° , 4(18) - 12 = 60°
Question 11:
2x + 24 + x = 180 ( reason: interior angles due to parallel lines)
simplify again to get x, you will get x = 52
then find the individual by subbing in the value of x into the equation.
so 2x + 24 = 2(52)+24 = 128° and x = 52°
Answer:
5x^2+22x-12 x cannot be -5, -4, -2
(x+5)(x+4)(x+2)
Step-by-step explanation:
In order to solve this, your denominator must be the same. Let's start by writing out the two different quadratic formulas:
x^2 + 6x + 8 <-- This should factor out to (x+4)(x+2)
x^2 + 7x + 10 <-- This should factor out to (x+5)(x+2)
Now that you have factored out the two quadratics, plug them into the equation.
5x - 3
(x+4)(x+2) (x+5)(x+2)
Now as we know, -2 cannot be x because it will turn the entire equation undefined. Multiple top and bottom with (x+5) on the right side and (x+4) on the left side.
5x (x+5) - 3(x+4)
(x+5)(x+4)(x+2) (x+5)(x+4)(x+2)
Focus on the top. 5x(x+5) will turn out to be 5x^2+25x. 3(x+4) will turn out to be 3x+12. Combine the two equations because now they are equal to each other and do the subtraction:
5x^2+25x - (3x+12) = 5x^2+22x-12 x cannot be -5, -4, -2
(x+5)(x+4)(x+2) (x+5)(x+4)(x+2)
8th grade = 3x = 3(47) = 141 band members.
7th + 8th = 188
7th = x
8th = 3x
x + 3x = 188 ; x = 47 ; 47 + 3(47) = 47 + 141 = 188
4x = 188
4x / 4 = 188 / 4
x = 47 --> 7th grade
8th grade = 3x = 3(47) = 141
To check:
x + 3x = 188 ; x = 47 ;
47 + 3(47) = 188
47 + 141 = 188
188 = 188
we can do this by 2 ways
1- by plotting the points on graph and then tracing the points to get shape,
for linear, we will get straight line
for quadratic, we will get parabola
in this case, it is linear as we get a straight line
2- by solving for values of x and y
consider standard linear equation y = mx +c where m is slope and c is constant
by putting given values of x and y we get
y + 2x = 4(answer)
if we consider standard parabola equation
y^2 = 4ax
this equation is not true for given points
Answer:
96million
Step-by-step explanation:
48/6=8
12 000 000 * 8 = 96 000 000
=96 million
