Given that this is a right triangle, we can use the Pythagorean Theorem which is expressed as:
a^2 + b^2 = c^2
where c is the hypotenuse and a, b are the other two legs.
c = sqrt ( 5^2 + 12^2 ) = 13
Hope this answers the question. Have a nice day.
Answer:
D. S’ is the result of switching coordinates of S.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Type of transformation are translation, reflection, rotation and dilation.
If a point A(x, y) is reflected along the x axis, the new point is A'(x, -y). If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is A'(-y, x).
Let us assume that S is at (x, y). Hence, if point S is reflected about the x-axis in the coordinate plane to get (x, -y). If it is then rotated 90° counterclockwise about the origin, the new point is at S'(y, x). S’ is the result of switching coordinates of S
Answer:
B
Step-by-step explanation:
Answer:
378.5 or just 378
Step-by-step explanation:
This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by. When x = 0, y = 350 so that's the y-intercept of our equation.)
The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.
Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.
If we want y when x = 19, plug 19 in for x and solve for y:
y = 1.5(19) + 350
y = 378.5
Since we can't have .5 of a butterfly we will round down to 378
