9514 1404 393
Answer:
Step-by-step explanation:
Using the given information, we have ...
BH = 2·HF
3x +6 = 2(2x -1)
3x +6 = 4x -2
8 = x
__
The length of the median is ...
BF = BH + HF
BF = (3x +6) +(2x -1) = 5x +5
BF = 5·8 +5
BF = 45
Answer:
x = 5
Step-by-step explanation:
3x - 2 = x + 8
Subtract x from each side
3x-x - 2 = x-x + 8
2x -2 = 8
Add 2 to each side
2x-2+2 = 8+2
2x = 10
Divide each side by 2
2x/2 =10/2
x = 5
Factor out the GCF of
21
b
2
c
2
from
63
b
2
c
4
+
42
b
3
c
2
.
Tap for fewer steps...
Factor out the GCF of
21
b
2
c
2
from each term in the polynomial.
Tap for fewer steps...
Factor out the GCF of
21
b
2
c
2
from the expression
63
b
2
c
4
.
21
b
2
c
2
(
3
c
2
)
+
42
b
3
c
2
Factor out the GCF of
21
b
2
c
2
from the expression
42
b
3
c
2
.
21
b
2
c
2
(
3
c
2
)
+
21
b
2
c
2
(
2
b
)
Since all the terms share a common factor of
21
b
2
c
2
, it can be factored out of each term.
21
b
2
c
2
(
3
c
2
+
2
b
)
The greatest common factor
GCF
is the term in front of the factored expression.
21
b
2
c
2
Answer:
20.3 ft
Step-by-step explanation:
The object-shadow ratio for the stick= 3÷1.5=2:1
The object-shadow ratio is same for all objects.
Let height of the tree be x
2/1 = x/10.15
x=10.15 * 2=20.3
<h3>
Answer: -6/5</h3>
Explanation:
The blue diagonal line goes through the two points (0,2) and (5,-4). These are shown as the dark blue enlarged points. You can pick any other points you want that are on the diagonal line, though these are the easiest as they stand out the most.
Use the slope formula to find the slope through these points
m = (y2-y1)/(x2-x1)
m = (-4-2)/(5-0)
m = (-6)/(5)
m = -6/5
The negative slope means the line goes downhill as you move from left to right along the diagonal line.
