X^4 - 5x^2 - 36 = 0
(x^2 - 9)(x^2 + 4) = 0
(x-3)(x+3)(x-2)(x+2) = 0
x = -3, -2, 2, 3
The x axis is the one going this way : ——— the y is the opposite going up so you just have to number it and add the dots
The distance between the two schools on the map is (C) 4.2 inches.
<h3>
What is the distance?</h3>
- Distance is a numerical measurement of the distance between two objects or places.
- The distance can refer to a physical length or an estimate based on other criteria in physics or common usage.
- The distance between two points A and B is commonly expressed as |AB|.
To find the distance:
On the map,2 inches represents 5 miles.
Thus, we can write:
- 2 miles = 2 inches
- 1 mile = 2/5 inches ..... (1)
Since the actual distance between the two schools is 10.6 miles.
Multiplying both sides by 10.6 in equation (1).
- 10.6 miles = 10.6 × 2/5 = 21.2/5 = 4.24 inches.
Therefore, the distance between the two schools on the map is (C) 4.2 inches.
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The complete question is given below:
Kim is drawing a map of the different schools in her school district. she knows that her middle school is 10.6 miles away from the middle school that her best friend attends. if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map, to the nearest tenth of an inch?
(A) 0.2 inch
(B) 0.9 inch
(C) 4.2 inches
(D) 26.5 inches
The sum of three even consecutive integers if the first integer is y will be 3y + 6.
First integer = y
Second integer = y + 2
Third integer = y + 4
Therefore, based on the expressions given above, the sum of the three integers will be:
= y + y +2 + y + 4
= 3y + 6
Therefore, the sum will be 3y + 6.
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brainly.com/question/24733295
You need to <span>draw the diagram to understand the problem easily. Teh diagram will show the right triangle, acute angle with the base 7º, height is 663 m, and "x" is the base of the triangle.
using the tangent ratio:
tan</span>Θ = opposite / adjacent
<span>
tan7º = 663 m / x
x = 663 m / tan7º
x = 5,399.7 m
change m to km. 1,000 m = 1km
5,399.7m * 1km/1,000 m = 5,399.7 km/1000 = 5.3997 km or 5.4 km
B. 5.4 km </span>