9514 1404 393
Answer:
a) x = -3
b) y = (28/27)x -27
Step-by-step explanation:
a) College street has a slope of 0, so is a horizontal line. 2nd Ave is perpendicular, so is a vertical line, described by an equation of the form ...
x = constant
For 2nd Ave to intersect the point (-3, 1), the constant must match that x-coordinate. The equation is ...
x = -3
__
b) Since Ace Rd is perpendicular to Davidson St, its slope will be the opposite reciprocal of the slope of Davidson St. The slope of Ace Rd is ...
m = -1/(-27/28) = 28/27
Using the point-slope equation for a line, we can model Ace Rd as ...
y -y1 = m(x -x1)
y -1 = (28/27)(x -27)
y = (28/27)x -27
Answer:41.7
Step-by-step explanation:let the unknown percent be x
X\100 of 48=20
X/100 x 48 =20
48x/100= 20
Cross multiply
48x =100 x 20
48x = 2000
Divide both sides by 48
X= 2000/48
X= 41.7
So...
= (5x-12) - (3x+18)
= 5x - 12 - 3x - 18
= 2x - 30
I believe that's the answer
Answer:
$173.06
Step-by-step explanation:
Think of "her new monthly salary" as the sum of "her monthly salary plus a 6.5% increase. Multiplying "her monthly salary" by 1.065 will produce a result that includes both the original monthly salary and the increase:
1.065($162.50) = $173.06
x=6 , y = 4
Step-by-step explanation:
( x-2,6)=(4,Y+2)
this means; (x-2) &( 4) stands for" x "axis.
and( 6 )& (y+2) stands for y axis.
So, we can say( x-2)=X1 & (4)=X2 , (6)=Y1 & (y+2)=Y2
then; to Solve The Equation we use The Formula: X1=X2 for "X" And Y1=Y2 for "Y".
Solution: for "X" ; X1=X2
x-2= 4
x=4+2
x=<u>6</u>
For "Y" ; Y1=Y2
6 = y+2
y=6-2
y=<u>4</u>
finally check ; ( (x-2),6) = (4,(y+2) )
(6-2),6 = (4,(4+2) )
( (4),6) = (4,(6) )
(4,6) = (4,6)
so, X1 =X2 ; 4 = 4
Y1 = Y2 ; 6 = 6
