The required equation of the line is y = 8 - x.
Given that,
To determine an equation of the line that passes through the point (8,0) and is parallel to the line x+y=5
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Given equation,
x+y=5
y = -x + 5
m = -1
Since the slope of parallel lines are equals.
So the equation of the line is given as, which is passing by (8,0)
y - 0 = -1 (x - 8)
y = 8 - x
Thus, the required equation of the line is y = 8 - x.
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Answer:
y = -x + 5
y - 0 = - (x - 8)
y = -x + 8
Step-by-step explanation:
The formula for the area of triangles is lwh × 1/2.
Multiply the length by the width, height, and then by 1/2.
1.1 × 3.8 × 0.5 = 2.09
Since both triangles are equal, both triangles area will be the same, 2.09.
Now multiply the are by 2.
2.09 × 2 = 4.18
The area of the shaded areas equals 4.18in.
200 m2
250 m2
Answer:
Surface area =250 m^2
Step-by-step explanation:
Given the length of the prism is 10m
width is 5m and height is 5m
The formula for surface area =
2(length times width)+2(width times height)+2(height times length)
Plug in all the values in the formula
Surface area =
Surface area =250 m^2
The distance traveled in the york canal is one-half the distance traveled on stover lake. The correct option is C.
A ratio shows us the number of times a number contains another number.
Given that Going through York Canal, Darius drives 5 miles in 15 minutes. Therefore, the distance traveled by him in this time period is 5 miles. And his speed is,
Speed = Distance / Time
= 5 miles / 15 minutes
= (1/3) miles per minutes
Also, as he crosses Stover Lake, he drives 30 minutes at the same average speed. Therefore, the distance that is traveled by him is,
Distance = Speed × Time
= (1/3) miles per minute × 30 minutes
= 10 miles
Further, if we take the ratio of the distance of the two, then we can write,
Distance traveled in the York canal = (1/2) Distance traveled in Strover Lake
Hence, The distance traveled in the york canal is one-half the distance traveled on stover lake.
The complete question is:
Darius takes his family on an afternoon boat ride. Going through the york canal, he drives 5 miles in 15 minutes. Later on, as he crosses stover lake, he drives 30 minutes at the same average speed. Which statement about the distance is true?
A : The distance traveled in the york canal is 15 miles less than the distance traveled on stover lake.
B : The distance in the york canal is twice the distance traveled on stover lake.
C: The distance traveled in the york canal is one-half the distance traveled on stover lake.
D: The distance traveled in the york canal and stover lake are the same.
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Answer:
Step-by-step explanation:
Given that Darius takes his family on an afternoon boat ride.
First he drives 5 miles in 15 minutes.
Next he drives 30 minutes at the same rate i.e. 5 m/15 min or 20 miles/hour
Since speed is 20 miles/hour, it follows that he travels 10 miles in 30 minutes.
So the true statement is
he travels 10 miles in 30 minutes
Concept used:
Distance travelled = speed x time
Speed =average speed normally denoted by miles per bour