Answer:
Absolute error = $25
Step-by-step explanation:
Given that:
Amount spent by John on shopping trip = $75
Estimated amount to spent on shopping trip = $100
Absolute error = Approximate value - Exact value
Here,
Approximate value = $100
Exact value = $75
Absolute error = 100 - 75
Absolute error = $25
Percentage = 
Percentage = 
Percentage = 33.33%
Hence,
Absolute error = $25
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]}
4×4=16 (4^2)
16×4=64 (4^3)
64×4=256 (4^4)
So 256 is 4^4
To calculate the area of a rectangle you multiply the length of the the sides, on 38) the sides are 4 and (3x-2) so to find the area do 4 x (3x-2) = 12x-8
To find the area of a right angled triangle you multiply the two sides and then divide by two, so for 39) and 40) follow this method but divide by two after as they’re triangles to find the area for these
Answer:
= 56°
= 34°
Step-by-step explanation:
3x + 5 + 2x = 90°
3x + 2x + 5 = 90°
5x + 5 = 90°
5x = 90 - 5
5x = 85
x = 85/5
x = 17
3x + 5
= 3(17) + 5
= 51 + 5
= 56°
2x
= 2(17)
= 34°
