Vertex form is
y=a(x-h)^2+k
vertex is (h,k)
axis of symmetry is x=4, therfor h=4
y=a(x-4)^2+k
we have some points
(3,-2) and (6,-26)
input and solve for a and k
(3,-2)
-2=a(3-4)^2+k
-2=a(-1)^2+k
-2=a(1)+k
-2=a+k
(6,-26)
-26=a(6-4)^2+k
-26=a(2)^2+k
-26=a(4)+k
-26=4a+k
we have
-2=a+k
-26=4a+k
multiply first equation by -1 and add to second
2=-a-k
<u>-26=4a+k +</u>
-24=3a+0k
-24=3a
divide both sides by 3
-8=a
-2=a+k
-2=-8+k
add 8 to both sides
6=k
the equation is
Answer:
Step-by-step explanation:
- Measure of angle J K H + measure of angle J K L = 180 degrees
True.
- Measure of angle J K L + measure of angle J L K + measure of angle K J L = 180 degrees
True. The sum of all interior angles = 180
- Measure of angle J K H = measure of angle J L K =
Can't tell from info given.
- Measure of angle J K L + measure of angle J L K = 90 degrees
Can't tell from info given.
- Measure of angle K J L = measure of angle K L J
Can't tell from info given.
Answer:
115
Step-by-step explanation:
180-50=130
130/2=65
180-65=115
Answer:
81.03
Step-by-step explanation:
(16.9-5.47)×7.09
(11.43)×7.09
81.0387
OR
81.03
HOPE THIS HELPS YOU
Answer:
(c) 5/2
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
__
Using these rules, we can simplify the expression as follows:
(5^-3)(2^2)(5^6)/((2^3)(5^2)) = (5^(-3+6-2))(2^(2-3)) = (5^1)(2^-1)
= 5/2