Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x + 5y = 10 into this form
Subtract x from both sides
5y = - x + 10 ( divide all terms by 5 )
y = -
x +2 ← in slope- intercept form
with slope m = - 
• Parallel lines have equal slopes, hence
y = -
x + c ← is the partial equation of the parallel line
To find c substitute (1, 3) into the partial equation
3 = -
+ c ⇒ c = 
y = -
x +
← equation of parallel line
The volume of the rectangular aquarium prism will be 51840 cubic inches.
<h3>What is a rectangular prism?</h3>
A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.
Your teacher just bought a new aquarium that is a rectangular prism.
If an aquarium has a length of 48 inches, a width of 36 inches, and a height of 30 inches.
Then the volume of the aquarium will be
The volume is given as
Volume = Length x Width x Height
Then we have
Volume = 48 x 36 x 30
Volume = 51840 cubic inches
More about the rectangular prism link is given below.
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Answer:
Base = 5 cm
Height = 20 cm
Step-by-step explanation:
Points to remember
Area of triangle = bh/2
Where b - base of triangle
h - Height of triangle
<u>To find the Height and Base of given triangle</u>
It is given that,area of a triangle piece of stained glass is 50 centimeters
the height of the triangle is four times the base
h = 4b
Area = bh/2
50 = (b * 4b)/2
100 = 4b²
b² = 100/4 = 25
b =√25 = ±5
b = 5 then h = 4b = 4 * 5 = 20
Base = 5 cm and Height = 20 cm
The value of 6 to the power of 5/6to the power of 2 is 6 to the power of 3
<h3>How to simplify the expression?</h3>
The expression is given as:
6 to the power of 5/6to the power of 2.
Rewrite properly as:
6^5/6^2
Apply the law of indices
6^(5-2)
Evaluate the difference
6^3
Hence, the value of 6 to the power of 5/6to the power of 2 is 6 to the power of 3
Read more about expressions at:
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