Answer:
6.25 km an hour
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Step-by-step explanation:
The answer is 28.8 (the first option)
Based on the coordinates of triangle RST, we can infer that triangle RST is <u>not a right-angled triangle. </u>
<h3>Is triangle RST a right-angled triangle?</h3>
For this to be a right-angled triangle, the Pythagoras theorem has to apply where:
Largest side² = Side A² + Side B²
Lengths of the triangle:
RS² = (4 - 2)² + (4 - 3)²
= 5
ST² = (5 - 4)² + (0 - 9)²
= 17
TR² = (2 - 5)² + (3 - 0)²
= 18
We can see that:
18 ≠ 17 + 5
This is therefore not a right-angled triangle.
Find out more on the Pythagoras theorem at brainly.com/question/343682.
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Answer:
4.28 ounces each
Step-by-step explanation:
21.4 divided by 5 equals 4.28
Answer:
f
(
x
)
=
−
1
2
x
2
+
3
x
−
1
2
Explanation:
A quadratic function can be written in vertex form as:
f
(
x
)
=
a
(
x
−
h
)
2
+
k
where
(
h
,
k
)
is the vertex and
a
is a constant multiplier.
In our example the vertex
(
h
,
k
)
is
(
3
,
4
)
, so we can write:
f
(
x
)
=
a
(
x
−
3
)
2
+
4
Given that this passes through the point
(
1
,
2
)
, we must have:
2
=
a
(
1
−
3
)
2
+
4
=
4
a
+
4
Subtract
4
from both ends to get:
−
2
=
4
a
Divide both sides by
4
and transpose to find:
a
=
−
1
2
So our quadratic function can be written in vertex form as:
f
(
x
)
=
−
1
2
(
x
−
3
)
2
+
4
We can multiply this out and simplify as follows:
f
(
x
)
=
−
1
2
(
x
−
3
)
2
+
4
f
(
x
)
=
−
1
2
(
x
2
−
6
x
+
9
)
+
4
f
(
x
)
=
−
1
2
x
2
+
3
x
−
9
2
+
4
f
(
x
)
=
−
1
2
x
2
+
3
x
−
1
2
Step-by-step explanation:
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