Answer:
x=4 and x= - 5
Step-by-step explanation:
In order to solve this we should re-arrange the equation:
This is equal to:
Then we can seperate this into:
So solving for x in both cases we get
Answer:
$320
Step-by-step explanation:
From simple interest formular
A=P(1+int) where A is amount payable, P is principal amount borrowed and int is interest gained
int=Rt where R is rate of interest in decimal form, t is duration
The rate of 10% converted to decimal is 10/100=0.1
Substituting P for $3200, R for 0.1 and t for 1 year
A=$3200(1+(0.1*1))=$3200*(1+0.1)=3200*1.1=$3520
To find the interest, it's A-P hence $3520-$3200=$320
Therefore, interest owed is $320
Answer:
c = -6
Step-by-step explanation:
To find the value of c to make the line pass through the point K = (2, -3), we just need to use the values of x = 2 and y = -3 in the equation, then we find the value of c.
So, we have that:
y - 1.5*x = c
(-3) - 1.5 * (2) = c
-3 - 3 = c
c = -6
So the value of c is -6
To check if the value is correct, we can use the value x = 2 and see if the value of y is -3:
y - 1.5*x = -6
y - 1.5*2 = -6
y - 3 = -6
y = -6 + 3 = -3
So it's correct.
Answer:
20 ft long; 12 ft wide
Step-by-step explanation:
Let w = the width of the garden
Then l = w + 8
A = lw
A = (w + 8)w
=====
The sidewalk is 4 ft wide, so, for the big rectangle consisting of garden plus sidewalk:
Width = w +8
Length = w + 16
Area = (w + 8)(w + 16)
=====
The <em>difference</em> between the two areas is the area of the sidewalk (320 ft²).
(w + 8)(w + 16) - (w + 8)w = 320 Factor out w + 8
(w+ 8)(w + 16 – w) = 320 Combine like terms
(w+ 8) × 16 = 320 Divide each side by 16
w + 8 = 20 Subtract 8 from each side
w = 12 ft
l = 12 + 8
l = 20 ft
The garden is 20 ft long by 12 ft wide.
Answer:
No. They are slightly pointed. Even if it has the slightest angle that is not 180 degrees, then it is not parallel.
Step-by-step explanation:
