How this is solved is by
Multiply 5/6 with 9/10
This multiplication involving fractions can also be rephrased as "What is 5/6 of 9/10?"
5
6
×
9
10
is
3
4
.
Steps for multiplying fractions
Simply multiply the numerators and denominators separately:
5
6
×
9
10
=
5 × 9
6 × 10
=
45
60
After reducing the fraction, the answer is
3
4
Or 3/4
The answer is going to be 3y=7x-15. hope that helped
Answer:
Increasing
Step-by-step explanation:
Remember that f(x) is the same as y in slope intercept form y = mx + b.
We don’t have a number for “b” which means the line goes across the origin.
Since 5 replaces m, that is the slope and since it’s positive, it is increasing.
Best of Luck!
Answer:
(Amplitude) (Correct answer: 1)
(Angular frequency) (Correct answer: 2)
(Phase shift) (Correct answer: 3)
(Vertical shift) (Correct answer: 4)
(Period) (Correct answer: 5)
Step-by-step explanation:
The general form of a sinusoidal function is represented by the following characteristics:
(1)
Where:
- Amplitude.
- Angular frequency.
- Phase shift.
- Vertical shift.
- Independent variable.
- Dependent variable.
In addition, we know that the period associated with the sinusoidal function (
) is:

By direct comparison, we get the following conclusions:
(Amplitude) (Correct answer: 1)
(Angular frequency) (Correct answer: 2)
(Phase shift) (Correct answer: 3)
(Vertical shift) (Correct answer: 4)
(Period) (Correct answer: 5)
1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is
, so the measure of arc DF is

The inscribed angle theorem tells us that the central angle subtended by arc DF,
, has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so

so the measure of arc DF is also 64 degrees. So we have

###
2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,

Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that

Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have
