Answer:
8:15 pm
Step-by-step explanation:
A concert starts by 7:00pm
They perform for 30 minutes
There is a 15 minutes break
The band performs for another 30 minutes
Hence the concert will end by 8:15 pm
Answer:
C. -7x
Step-by-step explanation:
Only one of the offered choices passes the horizontal line test: at most one point of intersection with any horizontal line.
__
A: a parabola opening upward, so will have two points of intersection with a general horizontal line (only one at the vertex).
B: a horizontal line, so will have an infinite number of points of intersection with a horizontal line.
D. A "V-shaped" graph that will generally have two points of intersection with a horizontal line (only one at the vertex).
Eliminate x's
multiply 2nd equation by -2 ad add to first
2x+3y=9
<u>-2x-10y=-16 +</u>
0x-7y=-7
-7y=-7
divide by -7
y=1
sub back
2x+3y=9
2x+3(1)=9
2x+3=9
minus 3
2x=6
divide 2
x=3
x=3
y=1
(x,y)
(3,1)
D
We have that
scale factor=1 in/2.5 miles
<span>the actual area of a lake is 12 square miles
</span>we know that
[area on the map]=[scale factor]²*[area actual]
[area on the map]=[1/2.5]²*[12]-----> 1.92 in²
the answer is
1.92 in²
Step-by-step explanation:
first step is to find the gradient of the line which "m" on the equation
gradient formula is y2 - y1 ÷ x2 - x1 = -½ as shown on the picture we substituted those points given
2nd step is to substitute on the equation y=mx+c
m= -½
y= 3 (you can choose any from those given points but in my case I chose point A)
x= -2
c= ? only unknown variable so we can can calculate it
substitute as shown on the picture to get c= 2
therefore our equation of the line will be y= -½x+2