Answer: 44 miles
WORKINGS
Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown
Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.
The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL
Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
DL^2 = 29929 – 27225
DL^2 = 2704
DL = 52 miles
Therefore, The distance between Dayton and Lima, DL = 52 miles
The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.
That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
= 44 miles
Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.
Answer:
The error Ben made was writing down 6,550,000 cars rather than 5,650,000 cars in the report.
He can fix it by correcting the wrong numbers.
Step-by-step explanation:
American car produce 5,650,000 cars each year.
When writing a report Ben wrote down that americans produce 6,550,000 cars every year
Therefore the error Ben made in the report was that he mixed the numbers, he ought to have written 5 and 6 as the initial two numbers but rather he wrote the first number as 6 and the second number as 5.
Ben can fix his mistake by correcting the numbers and writing down the correct initial two numbers which are 6 and 5.
Hence, doing this will give him the correct number of cars which is 5,650,000 cars.
That would be 1+y≥9
the one and the y go on one side and the nine on the other
2y+1=0.5+y.
Hope this helps!
Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
First, find slope using the given coordinates. Formula for slope: y₁ - y₂ / x₁ - x₂.
Our coordinates are (-2, 5) and (2, -7). Plug them in and simplify.
5 - (-7) / -2 - 2
5 + 7 / -4
12/-4
-3
The slope is -3. The equation becomes y = -3x + b.
To find b, plug an (x, y) coordinate on the line in for x and y in the equation and solve. I'll use (-2, 5)
y = -3x + b
5 = -3(-2) + b
5 = 6 + b
-1 = b
The y-intercept is (0, -1). The equation can now be completed!
<h3>
Answer:</h3>
y = -3x - 1
