M= 1/2
to find this you plug in the points into the the formula m=y2-y1 / x2-x1
m=3-6 / -4-2
m=-3 / -6
this simplifies to m=1/2
Answer:
The vertex forms an acute angle.
Step-by-step explanation:
first number=x
second number=x+2
third number=x+4
(x+2)(x+4)=35
x(x+4)+2(x+4)=35
x²+4x+2x+8=35
x²+6x+8=35
x²+6x=35-8
x²+6x=33
x²+6x-33=0
using that, you can find the first number,
then use the data to find the other two.
Answer:

Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above

Find the interest


Step-by-step explanation:
Length = x-3
width = x+8
Area of the rectangle = 60 inch²
(x-3)(x+8)=60
x²+8x-3x-24=60
x²+5x-24=60
x²+5x-84=0
x²+12x-7x-84=0
x(x+12) - 7(x+ 12) =0
(x+12)(x-7)= 0
x= -12 or, x= 7
Measure of sides of rectangle can never be negative.
Answers:
Therefore,
x=7
Dimensions
length =7-3
=4 inches
width = 7+8
=15 inches