The first is a translation of vertex L to vertex Q. What is the
second transformation?
a reflection across the line containing LK
a reflection across the line containing jk
a rotation about point l
a rotation about point k
It is 70° because the other triangle has the same angle and it is labeled 70° in the other triangle.
Answer: 70°
i just answered one of these i believe the answer is continuous.
Remember that the vertex form of a parabola or quadratic equation is:
y=a(x-h)^2+k, where (h,k) is the "vertex" which is the maximum or minimum point of the parabola (and a is half the acceleration of the of the function, but that is maybe too much :P)
In this case we are given that the vertex is (1,1) so we have:
y=a(x-1)^2+1, and then we are told that there is a point (0,-3) so we can say:
-3=a(0-1)^2+1
-3=a+1
-4=a so our complete equation in vertex form is:
y=-4(x-1)^2+1
Now you wish to know where the x-intercepts are. x-intercepts are when the graph touches the x-axis, ie, when y=0 so
0=-4(x-1)^2+1 add 4(x-1)^2 to both sides
4(x-1)^2=1 divide both sides by 4
(x-1)^2=1/4 take the square root of both sides
x-1=±√(1/4) which is equal to
x-1=±1/2 add 1 to both sides
x=1±1/2
So x=0.5 and 1.5, thus the x-intercept points are:
(0.5, 0) and (1.5, 0) or if you like fractions:
(1/2, 0) and (3/2, 0) :P
Answer:
x/16 + 10
Step-by-step explanation:
10+(x÷16)
To add or subtract expressions, expand them to make their denominators the same. Multiply 10 times 16/16.
10 x 16 / 16 + x/16
Since 10 x 16 / 16 and x/16 have the same denominator, add them by adding their numerators.
10 x 16 + x / 16
Do the multiplications in 10×16+x.
160 + x / 16 = x/16 + 10
