Actually Welcome to the Concept of the Straight lines.
Since there are more than one lines that can land plane safely, we take one of it,
When, X = 10 and Y = 7, so the equation we get as,
y-7 = m(x-10) + c
lets find slope, that is value of m,
y2-y1/x2-x1 = m
so, 9-7/ 7-10 = 2/-3
so, m= -2/3
so the final Equation is,
=> y-7 =(-2/3)(x-10) +c
the equation of a parabola in
vertex form
is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
a
(
x
−
h
)
2
+
k
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−
where
(
h
,
k
)
are the coordinates of the vertex and a
is a multiplier
to obtain this form
complete the square
y
=
x
2
+
2
(
4
)
x
+
16
−
16
+
14
⇒
y
=
(
x
+
4
)
2
−
2
←
in vertex form
⇒
vertex
=
(
−
4
,
−
2
)
to obtain the intercepts
∙
let x = 0, in the equation for y-intercept
∙
let y = 0, in the equation for x-intercept
x
=
0
⇒
y
=
0
+
0
+
14
=
14
←
y-intercept
y
=
0
⇒
(
x
+
4
)
2
−
2
=
0
←
add 2 to both sides
⇒
(
x
+
4
)
2
=
2
take the square root of both sides
√
(
x
+
4
)
2
=
±
√
2
←
note plus or minus
⇒
x
+
4
=
±
√
2
←
subtract 4 from both sides
⇒
x
=
−
4
±
√
2
←
exact values
graph{(y-x^2-8x-14)((x+4)^2+(y+2)^2-0.04)=0 [-10, 10, -5, 5]}
SSS theorem: If two triangles have three pairs of sides in the same ratio, then the triangles are similar.
Write the ratio between the smallest sides, between the greatest sides and between the middle sides and compare the results:
This gives you that
By SSS theorem triangles ABC and EFG are similar with scale factor 180.
Answer:
18/36 or 1/2
Step-by-step explanation:
There are 18 nickels, which is the numerator.
You add all the numbers together to get the denominator, which is 12+6+18=36.
Then, you put the two values in a fraction - 18/36
and simplify, to get you 1/2.
I think the answer is 1/5 based on given information
