Answer:
Step-by-step explanation:
Our equations are

Let us understand the term Discriminant of a quadratic equation and its properties
Discriminant is denoted by D and its formula is

Where
a= the coefficient of the 
b= the coefficient of 
c = constant term
Properties of D: If D
i) D=0 , One real root
ii) D>0 , Two real roots
iii) D<0 , no real root
Hence in the given quadratic equations , we will find the values of D Discriminant and evaluate our answer accordingly .
Let us start with

Hence we have two real roots for this equation.


Hence we do not have any real root for this quadratic

Hence D>0 and thus we have two real roots for this equation.

Hence we have one real root to this quadratic equation.
Standard form is ax+by=c
first we use
y-y1=m(x-x1)
a point is (x1,y1)
the slope is m
the slope between the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(1,1) and (3,4)
slope=(4-1)/(3-1)=3/2
a oint is (1,1) and slope is 3/2
y-1=3/2(x-1)
y-1=3/2x-3/2
solve for ax+by=c form, a is normally positive and a and b and c are whole numbers
times 2 both sides
2y-2=3x-3
minus 2y
-2=3x-2y-3
add 3
1=3x-2y
3x-2y=2
Answer:
(-3,-6) and (-3,2)
Step-by-step explanation:
A line with an undefined slope is vertical. In this case it must have x coordinates equal to -3
Answer:
The Estimated weight of the puppy = 12 pounds
Actual weight of the puppy = 14 pounds
Difference in estimated weight and actual weight = 14 - 12
= 2 pounds
⇒ [(14 - 12)*100]/14
⇒ (2*100)/14
⇒ 200/14
⇒ 14.285 %
2,3,7,8=
1)3*7=21
2)2*8+7=32
3)7*3+8=29
4)7*3+2=23
5)7*8 divided by 2=28
6)8*3=24
7)2*3*8=48
Hopes This Helps :)