Answer:
9. Always true
10. Always true
11. Never true
12. Always true
13. Always true
14. Never true
Step-by-step explanation:
An inverse is defined as the reflection across the line y=x. Algebraically this means that x and y switch place in the inverse equation and in the coordinate points of a function.
A line will always give a line.
Example: y = 2x -2
Inverse: x = 2y -2 which when rearranged is y = 1/2 x +1.
This also means that the slope if greater than 1 for the function will have a slope less than 1 for its inverse.
A quadrilateral is a polygon with 4 number of sides and 4 vertices. The shape of the field is either square or a rhombus.
<h3>What is a quadrilateral?</h3>
A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.
Given that ABCD represents a field, therefore, the field is a quadrilateral. Now, as the path is going between the field. And starts from A therefore, it will end at C.
Since It is the same distance from BA and BC. Therefore, it will be the diagonal of the quadrilateral. And as BA and BC are consecutive sides and are of the same length.
Hence, the shape of the field is either square or a rhombus.
Learn more about Quadrilateral:
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Answer:
It will take the object 0.56 hours to travel 5 and one tenth km
Step-by-step explanation:
An object is traveling at a steady speed of 9 and nine tenths km/hour. This means the object is travelling at a speed of 9 1/10 km/hour.
Changing to improper fraction,
9 1/10 =( 10×9 +1)/10
= 91/10 = 9.1km/hour
The amount of time it will it take the object to travel 5 and one tenth km will be:
5 and one tenth = 5 1/10. Making it an improper fraction, = (5×10+1)10= 51/10
=5.1
Speed = distance/time
Distance = speed × time
Time = distance/ speed
= 5.1/ 9.1 = 0.56 hours
The answer is 18
Step by step Explanation:
Due to the fact that they provided to you that the triangle is 45-45-90 triangle you know that the legs other than the hypotenuse are x and that the hypotenuse is labeled as x root 2.
3 times root 2 equals 3 root 2
Square formula: l*w
3 root 2 times 3 root 2 equals 18 because when there is a perfect square in the radical we take it out and multiply it to the coefficient. For example if 121 is inside the radical we take out 11 because 11 * 11 = 121. In this case 2 * 2 = 4 so we take the 2 and multiply it to 9 and we get 18.