warnene17
19.12.2019 •
Mathematics
Triangle abc has vertices a(4,5) b(2,1) and c(7,3). what is the slope of the altitude drawn from a to bc
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Ответ:
- 5/2
Step-by-step explanation:
B (2,1) C (7,3)
slope of BC = (3-1) / (7-2) = 2 / 5
slope of altitude drawn from A to BC : - 5/2
Ответ:
x
=
−
3
and
y
=
2
.
Solve
x
+
5
y
=
7
for
x
.
x
=
7
−
5
y
Substitute
7
−
5
y
for
x
into the other equation.
2
(
7
−
5
y
)
+
7
y
=
8
=
14
−
10
y
+
7
y
=
8
'
14
−
3
y
=
8
Subtract
14
from both sides.
−
3
y
=
−
6
Divide both sides by
−
3
.
y
=
2
Substitute
2
for
y
in the first equation.
x
+
5
(
2
)
=
7
=
x
+
10
=
7
Subtract
10
from both sides.
x
=
−
3
Check by substituting
−
3
for
x
and
2
for
y
into both equations.
2
x
+
7
y
=
8
=
2
(
−
3
)
+
7
(
2
)
=
8
=
−
6
+
14
=
8
=
8
=
8
Check.
x
+
5
y
=
7
=
−
3
+
5
(
2
)
=
7
=
−
3
+
10
=
7
=
7
=
7
Check.
Sorry if I'm wrong