The distance between both lines is 2.24 units
Step-by-step explanation:
There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.
Given

We have to find the distance of this point from y=2x+5

The formula for finding distance of a point (x,y) from a line is:

A=2
B=-1
C=5
Putting the values in the formula

Rounding off will give: 2.24 units
The distance between both lines is 2.24 units
Keywords: Equations of lines
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Answer:
The height of the tent = 3 feet
Step-by-step explanation:
Question
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?
Given:
Length of the tent = 6 feet
Width of the tent = 4 feet
Volume of the tent = 36 
To find the height of the tent.
Solution:
Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:

where
represents length,
represents width and
represents height of the prism.
Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.

Simplifying.

Dividing both sides by 12.


∴ 
Thus, the height of the tent = 3 feet
X^2+15^2=25^2
X^2+225=625
Isolate X
X^2=400
Take the square root on both sides
X=positive and negative 20 but in this case the negative is thrown out because you can't have a negative side
Answer: 20
1/4n-8=1/4 would be first because it says less than so you switch it. then you put the 8 since it's in the same subtraction problem. Then the word "is" indicates the equal sign. and the n represents "a number" since it is unknown.
Answer: 0.68
Step-by-step explanation:
just took test and got it right