Answer:
Some Facts about lines (1) For non vertical line L, if L passes a point (x0,y0) with slope m, then an equation of line L is y − y0 = m(x − x0). (2) If a non vertical line L passes through distinct points (x1,y1) and x2(y2), then the slope of L is m = y2 − y1 x2 − x1 . x a + y b = 1.
Step-by-step explanation:
Answer:
The answer is given below
Step-by-step explanation:
Q1: How are rational exponents and radicals related?
Rational exponents are exponents in fraction form. Radicals are roots (square root, cube root and so on).
The denominator of the rational exponent is the root which is the same as the radical.
Q2: How can the average rate of change be identified for a function?
The average rate of change is ratio of the change in output to the change in input values. The average rate of change for a function is the slope of the function.
It can be gotten by finding the first derivative of he function.
Q3: How do linear and exponential functions compare as the domain increases?
For linear functions as x increases, y also increases by the same amount (i.e rate of change is constant). For exponential function the rate of change increases by a factor known as the multiplier.
Hey! Your answer would be 2.
<u>The system of equation</u>
First equation
x = 2y + 7
Second equation
3x - 2y = 3
<u>Substitute x with (2y + 7) in the second equation</u>
3x - 2y = 3
3(2y + 7) - 2y = 3
use distributive property
3(2y) + 3(7) - 2y = 3
6y + 21 - 2y = 3
add like terms
6y - 2y + 21 = 3
4y = 3 - 21
4y = -18
y = -18/4
y = -4.5
<u>Substitute y with its value, which is -4.5, in the first equation</u>
x = 2y + 7
x = 2(-4.5) + 7
x = -9 + 7
x = -2
<u>The solution is</u>
<u />(x,y) = (-2, -4.5)
Answer:
X = 32
Y = 51
Step-by-step explanation:
It is give that triangle MNP is CONGRUENT to triangle TUS .
So, MN = TU , NP = US , MP = TS , Angle M = Angle T , Angle S = Angle P .
Angle S + Angle T + Angle U = 180 - ( Angle sum property of Triangle )
24 + 142 + ( 2x - 50) = 180
= 166 + ( 2x - 50) = 180
= 2x - 50 = 180 - 166
= 2x = 14 + 50
= x = 64/2
= x = 32
Side NP = Side SU
( 2x - y ) = 13
= 2*32 - y = 13 By putting x = 32
= 64 - y = 13
= - y = 13 - 64
= - y = - 51
= y = 51
If any doubt so please ask .
THANK YOU
