Answer:
Option B. 
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
Remember that

substitute

Answer:
I think its D sorry if I get it wrong
Step-by-step explanation:
(2x+1)=Jeremy´s age
(2x+3)=Sam´s age.
we suggest this equation:
(2x+1)(2x+3)=783
4x²+6x+2x+3=783
4x²+8x-780=0
x²+2x-195=0
We solve this quadratic equation:
x=[-2⁺₋√(4-4*1*(-195))]/2=(-2⁺₋28)/2
x₁=(-2-28)/2=-15 this solution is not valid.
x₂=(-2+28)/2=13
Jeremy´s age=2x+1=2*13+1=27
Sam´s age=2x+3=2*13+3=29
The equation of the line is given as

A straight line equation is given in the form

where

is the gradient and

is the y-interest.
We need to rearrange

to make

the subject.

⇒ from here we can read the gradient and the y-intercept. The gradient,

and

.
<span>A line that is parallel to

will have the same gradient,

but different y-intercept. One example of equation of a line that is parallel to

is

</span>
Answer:
k = 2
Step-by-step explanation:
the dilation k is the scale factor. A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. To find the scale factor k, we will compare the original points with their transformation
Point R is at (-1,2), and R' is at (-2,4).
divide the ys: 4/2 =2
divide the xs: -2/-1 =2
therefore the scale factor is 2