The intercept is
.
This is the y-intercept. To find the x-intercept,
.
(1.365, 0)
Answer:
2xyz
Step-by-step explanation:
In Luke's drawing, the height of the fountain is 4 cm. It is obtained after finding the real height of the fountain using the scale used by Isabella.
<h3>What is a scale?</h3>
A scale, in mathematics, is a ratio of the dimensions in a drawing to the actual dimensions. The formula is
<em>Scale = dimension in the drawing : actual dimension</em>
Given
- The scale from the fountain to Isabella's drawing is 6 m to 3 cm
- The height in Isabella's drawing = 5 cm
- The scale from the fountain to Luke's drawing is 5 m to 2
What is the height of the fountain in Luke's drawing?
The scale used by Isabella
= 3 cm : 6 m
= 3 cm : 600 cm
= 1 : 200
The actual height of the fountain
= dimension in the drawing × scale
= 200 × 5
= 1.000 cm
The scale used by Luke
= 2 cm : 5 m
= 2 cm : 500 m
= 1 : 250
The height in Luke's drawing
= the actual height ÷ scale
= 1.000 ÷ 250
= 4 cm
Hence, in Luke's drawing, the height of the fountain is 4 cm.
Learn more about scale here:
brainly.com/question/16870997
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Step-by-step explanation:
2tan∅=10.25
Tan∅= 10.25/2
∅= 78.95
Answer:
Step-by-step explanation
#1)
Step 1:
Set any equation to one variable. Let's pick the first equation.
I would make 2x-y=9 into y=2x-9.
Step 2:
Then I would subsitute 2x-9 into the (y) for the 2nd equation. The equation should look like x+3(2x-9)=-6
Step 3:
I then distribute the 3 to the 2x+9 in which the expanded form would look like x+6x-27=6
Step 4:
Then I would combine the X terms and move the -27 to the other side.
7x=33
Step 5:
I then would solve for X which is x=33/7.
Step 6:
We would plug in 33/7 for X and any of the equation whether it is the top or bottom and you should recieve your answer for Y.
#2)
Step 1:
Like #1 I would do the same, but this time let's do it for X.
I would make 2x-y=7 into x=(y+7)/2
Step 2:
I then would subsitute [(y+7)/2] into (x) for the 2nd equation below.
It should be 6[(y+7)/2]-3y=14.
Step 3:
I would then do distributive property and expand the equation.
3y+21-3y=14
Step 4:
I would then combine the Y and move the 21 over to the right side.
0y=-7
Step 5:
This shows that 0 cannot equal to 7 therefore this equation is unsolvable or we refer to as undefined.