Answer:
see explanation
Step-by-step explanation:
∠1 and 170° form a straight angle and are supplementary, thus
∠1 = 180° - 170° = 10°
∠1 and ∠3 are vertical angles and congruent , thus
∠3 = 10°
∠2, 15° and ∠3 form a straight angle and sum to 180°, thus
∠2 = 180° - 15° - 10° = 155°
Thus
∠1 = 10°, ∠2 = 155°, ∠3 = 10°
1$ is 100cents
45$ is 4500 cent
THE ORIGINAL price is $53
if 85% = $45
so 15%= ? cross multiply
45x15=85x$
675/85=x$
7.9 app8$ was discounted
original price=45+8=$53
in cent it is 5300 cents
The vertex is the high point of the curve, (2, 1). The vertex form of the equation for a parabola is
.. y = a*(x -h)^2 +k . . . . . . . for vertex = (h, k)
Using the vertex coordinates we read from the graph, the equation is
.. y = a*(x -2)^2 +1
We need to find the value of "a". We can do that by using any (x, y) value that we know (other than the vertex), for example (1, 0).
.. 0 = a*(1 -2)^2 +1
.. 0 = a*1 +1
.. -1 = a
Now we know the equation is
.. y = -(x -2)^2 +1
_____
If we like, we can expand it to
.. y = -(x^2 -4x +4) +1
.. y = -x^2 +4x -3
=========
An alternative approach would be to make use of the zeros. You can read the x-intercepts from the graph as x=1 and x=3. Then you can write the equation as
.. y = a*(x -1)*(x -3)
Once again, you need to find the value of "a" using some other point on the graph. The vertex (x, y) = (2, 1) is one such point. Subsituting those values, we get
.. 1 = a*(2 -1)*(2 -3) = a*1*-1 = -a
.. -1 = a
Then the equation of the graph can be written as
.. y = -(x -1)(x -3)
In expanded form, this is
.. y = -(x^2 -4x +3)
.. y = -x^2 +4x -3 . . . . . . same as above
Answer:
2nd one
Step-by-step explanation:
Four more than 3 times a number t
3t+4
If you are telling me to write the variable t as 4- then:
3(4)+4
12+4
16
Hope this helps!
~cupcake
