Answer:
Step-by-step explanation:
take a line segment of 5.3 cm mark it as A & B. add 1cm to it mark the 3rd point as C. from point B draw a perpendicular line . construct perpendicular bisector of A and C.
55/100 or 11/20
Since 55% is 55/100 as a fraction. then at it's simplest form it's 11/20.
Answer:
a. a = 1, b = -5, c = -14
b. a = 1, b = -6, c = 9
c. a = -1, b = -1, c = -3
d. a = 1, b = 0, c = -1
e. a = 1, b = 0, c = -3
Step-by-step explanation:
a. x-ints at 7 and -2
this means that our quadratic equation must factor to:

FOIL:

Simplify:

a = 1, b = -5, c = -14
b. one x-int at 3
this means that the equation will factor to:

FOIL:

Simplify:

a = 1, b = -6, c = 9
c. no x-int and negative y must be less than 0
This means that our vertex must be below the x-axis and our parabola must point down
There are many equations for this, but one could be:

a = -1, b = -1, c = -3
d. one positive x-int, one negative x-int
We can use any x-intercepts, so let's just use -1 and 1
The equation will factor to:

This is a perfect square
FOIL:

a = 1, b = 0, c = -1
e. x-int at 
our equation will factor to:

This is also a perfect square
FOIL and you will get:

a = 1, b = 0, c = -3
Let x be her initial distance from the building, then tan 37 = 130/x
x = 130/tan 37 = 130/0.7536 = 172.5 feet
Let y be her distance from the building after moving forward, then
tan 40 = 130/y
y = 130/tan 40 = 130/0.8391 = 154.9
After moving forward, she is 172.5 - 154.9 = 17.6 ft closer.
Answer: 31, 932.74
Step-by-step explanation:
The population of the small town = 39,668
Yearly rate of decline = 1.5%
Therefore, to calculate 1.5% of 39,668 = 1.5 x 39,668
------------------
100
= 595.02
So, the population is declining by 595.02 on yearly basis.
To ascertain what will the population would have declined to in the next 13 years,
We multiply , = 595.02 x 13
=7,735.26
Now population in 13 years = 39,668 - 7,735.26
= 31,932.74