Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the right triangle ABC find the length side BC
we know that
step 2
In the right triangle ABD find the length side BD
we know that
step 3
we know that
The distance between the two boats is the length side CD
substitute the values
Answer:
Step-by-step explanation:
If a point (x, y) is translated by 4 units horizontally right and 1 unit upwards, coordinates of the image point will be,
(x, y) → (x + 4. y + 1)
Therefore, vertices of the image triangle ABC will be,
A(2, 2) → A'(2+4, 2+1)
→ A'(6, 3)
B(5, -1) → B'(5+4, -1+1)
→ B'(9, 0)
C(1, -2) → C'(1+4, -2+1)
→ C'(5, -1)
Then reflected across y-axis.
Rule for the reflection across y-axis will be,
(x, y) → (-x, y)
A'(6, 3) → A"(-6, 3)
B'(9, 0) → B"(-9, 0)
C'(5, -1) → C"(-5, -1)
Answer:
10 people buy slushies and the price of each is lb. They have already spent w on food. How much did they spend on slushies.
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
x= 1, y= -4
Answer:
C, E
Step-by-step explanation:
A. INCORRECT
A is wrong because a reflection across the x-axis DOES move the position of the figure (as it is flipped, so the position changes), but it DOES NOT change the angle (since a shift in position doesn't equal to a change in angle measure)
B. INCORRECT
Although a reflection across the x-axis does change the position of the angle, it DOES NOT change the measure of the angle.
C. CORRECT
A reflection across the x-axis does in fact move the position of the figure and does not change the angle measure. Reflections only deal with flipping a figure, not changing it's shape/distorting it so that the angle will change.
D. INCORRECT
A translation right will change the position of the figure but will not change the measure of the angle.
E. CORRECT
Yes, a translation right WILL change the position of the figure but will NOT change the measure of the angle. This is because a translation is simply moving a figure up and down; it has nothing to do with changing the shape of the figure/distorting it so that the angle is different.
