Answer:
62
Step-by-step explanation:
Plug in the value of a in the equation:
12(4) - 6 + 7(4) - 2(4)
Solve 12(4) - 6:
12(4) - 6 = 48 - 6 = 42
Solve 7(4) - 2(4):
7(4) - 2(4) = 28 - 8 = 20
Combine both answers (42+20):
42+20 = 62
Complete answer:
12(4) - 6 + 7(4) - 2(4) = 62
Answer:
OK, lets start by drawing a basic graph (the first one) so we can visualize.
We already know that the y coordinate of the circle's center is 
.
We know that the circle is tangent to the 
axis at 
That means the x coordinate of the center has to be 
, as the tangent is a point on the edge of the circle that touches a line at exactly one point.
The radius is the distance from the center of the circle to its edge. We know the center's location now, it is 
and a point on the edge of the circle (the tangent point) which is . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)
We can imagine the circle should look like this (the second one):
Now we can piece together an equation
The equation of a circle is 
where 
is the center and 
is the radius. When we put the numbers in: we get 
which can be simplified into which is the answer.
Step-by-step explanation:
3 5/9 divided by -2 2/3
change the mixed numbers to improper fractions
3 5/9 = (9*3+5)/9 = 32/9
-2 2/3 = -(3*2+2)/3 = -8/3
32/9 divided by -8/3
copy dot flip
32/9 * -3/8
-96/72
divide top and bottom by 24
-4/3
=-1 1/3
Answer: - 1 1/3
Answer:
Width=6.5 cm
Length=12 cm
Step-by-step explanation:
Step 1: Express the lengths and widths
Width=w
Length=l, but 1 cm less than twice the width=(2×w)-1=2 w-1
Step 2: Solve for the length and width
A=L×W
where;
A=area of the photograph
L=length of the photograph
W=width of the photograph
In our case;
A=91 cm²
L=2 w-1
W=w
91=(2 w-1)w
2 w²-w=91
2 w²-w-91=0, is a quadratic equation
solve for w
w={-1±√(-1²-4×2×-91)}/(2×2)
w=(-1±27)/4
w=(27-1)/4=6.5, or (-1-27)/4=-8
Take w=6.5 cm
L=(2×6.5)-1=13-1=12 cm
Width=6.5 cm
Length=12 cm
