Answer:
√20 units.
Step-by-step explanation:
Please see attached photo for diagram.
The other leg of the triangle is x as shown in the attached photo.
Using the pythagoras theory, we can obtain the the value of x as follow:
x² = 4² + 2²
x² = 16 + 4
x² = 20
Take the square root of both side.
x = √20 units
Therefore, the value of the other leg x of the triangle is √20 units
A = (1/2)(b * h)
It is 1/2 times the product (which is the end result of multiplication of two values), of base (b) times height (h)
Answer:
- <u><em>D. (-5/13, -12/13)</em></u>
Explanation:
It is indicated to <em>find the coordinates</em> of the <em>point T (5/13, 12/13) </em>at a distance <em>π + x.</em>
- π is an arc of half a circle, i.e. 180º.
Then, the distance π+ x means that the <em>point T</em> is rotated 180º.
The rule for the rotation of a point 180º around the origin is:
Applying that rule to the point T:
- (5/13, 12/13) → (-5/13, - 12/13) ← answer
Answer:
Questions 13-15 will all be related to the same situation.
A food pantry is making packages. Each package weighs 64 pounds. Each package contains 4 boxes. Each box contains a 7-pound bag of beans and a bag of rice. The bags of rice are all identical.
Which equation accurately represents this situation?
Step-by-step explanation:
Answer:
Q' = (6,3)
Step-by-step explanation:
You can think of this problem in two ways:
Graph:
I've shown my working for this, where I've counted how many units it takes to get from point Q to the axis through which im reflecting. There are 6 units between Q and the y axis, so naturally there should be 6 units between Q' and the y axis.
Coordinates:
Since this is a reflection through an axis, we can assume that the the x coordinate of point Q' will be equal and opposite to Q. Therefore, while the x coordinate of Q was -6, of Q' it's 6