We are given coordinates of the school located at a point (9,-1).
Library is located 5 blocks south and 4 blocks west .
According to coordinate axes, south is downward and west is on left side.
So, we need to move 5 units down of 9.
<em>5 units down of 9 would be 9-5 = 4.</em>
And then <em>4 blocks west that mean -1 -4 = -5.</em>
<h3>Therefore, coordinate of the library is located at the point (4,-5).</h3>
Answer:
See below
Step-by-step explanation:
4(x + 5) = 9x + 4x − 34
4x + 20 = 9x + 4x − 34 [Distributive]
4x + 20 = 13x − 34 {Combine Like Terms]
4x - 13x + 20 = 13x - 13x − 34 [Subtractive: -13x both sides]
-5x + 20 = - 34 [Combine Like Terms]
-5x + 20 - 20 = -34 - 20 [Subtractive: - 20 both sides]
-5x = -54 [Combine Like Terms]
x = -54/-5 [Division Property: divide both sides by -5]
x = - 10 4/5
Answer:
3,4,5 forms a right triangle
1,2 ,9 does not form a triangle
Step-by-step explanation:
Three side lengths that will form a triangle
3,4,5
This is a Pythagorean triple. It forms a right triangle
3^2 +4^2 = 5^2
9+16=25
25=25
Three side lengths that will not form a triangle
1,2 9
The sum of the two smaller sides must be greater then the third
1+2 < 9 not greater
The 5 in x - 5 needs to be negative in the table. So, change that and make everything else in that row negative.
You are then left with 3x^2 + x - 15x - 5
Simplify to 3x^2 - 14x - 5
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Answer:
126 inches
Step-by-step explanation:
If your drawing is on a 1 : 40 scale, to find the scale's height, divide the ride's height by 40.
420 / 40 = 10.5
So the drawing will be 10.5 feet tall.
To convert 10.5 feet to inches, multiply it by 12.
10.5 * 12 = 126 inches
