The perimeter of an object is found by adding all of the sides. The sides of his frame would be 2 ft, 2 ft, 1.5 ft (18 inches / 12 inches per foot = 1.5 feet), 1.5 feet. Adding these together we get a total length of 7 feet. However, he may want to use a slightly longer board to account for any errors!
Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4
jek_recluse [69]
Notice that every pair of point (x, y) in the original picture, has become (-y, -x) in the transformed figure.
Let ABC be first transformed onto A"B"C" by a 90° clockwise rotation.
Notice that B(4, 1) is mapped onto B''(1, -4). So the rule mapping ABC to A"B"C" is (x, y)→(y, -x)
so we are very close to (-y, -x).
The transformation that maps (y, -x) to (-y, -x) is a reflection with respect to the y-axis. Notice that the 2. coordinate is same, but the first coordinates are opposite.
ANSWER:
"<span>a 90 clockwise rotation about the origin and a reflection over the y-axis</span>"
Answer:
f(-4)= -55
Step-by-step explanation:
We want to find f(x), or y, when x is equal to -4.
Therefore, we can substitute -4 in for x in the function.
f(x) = -2x^2 + 4x - 7
Substitute -4 in for x
f(-4) = -2(-4^2) + 4(-4) - 7
Evaluate the exponent
f(-4)=-2(16)+4(-4)-7
Multiply -2 and 16
f(-4)= -32+4(-4)-7
Multiply 4 and -4
f(-4)=-32-16-7
Subtract
f(-4)=-55
Answer:
61 degrees.
Step-by-step explanation:
As long as the two figures are congruent, angle P corresponds to angle T, angle [cut off but it says 93 degrees] corresponds to angle U, angle N corresponds to angle V, and angle M corresponds to angle S.
Since we already have the value of T, we know the value of P. The measure of angle P is 61 degrees.
Hope this helps!