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3 years ago

Are there any angles x and y that satisfy sin(x+y)=sinx+siny?

Mathematics

1 answer:

tatyana61 [14]3 years ago

7 0

If either x or y or both are equal to 0, then the equation is satisfied.

CHECK [y = 0]:

sin(x+0) = sin x + sin 0

sin x = sin x Yup!

CHECK [x = 0]

sin(0+ y) = sin 0 + sin y

sin y = sin y Yup!

CHECK [x,y = 0]

sin (0+0) = sin 0 + sin 0

sin 0 = sin 0 Yup!

It all checks out! Hope that helps!

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Which transformation or series of transformations would prove that XYZ is congruent to QRS? Select yes or no for each transforma

Jlenok [28]

Answer:

Yes

Step-by-step explanation:

3 0

3 years ago

Find the solution to this system: A. (2,1) B. (1,-2) C. (1,2) D. (-1,2) NEED HELP

Rasek [7]

The solution to the system is where the lines intercept. If you look at the graph, you see that the lines intercept at (1,2). So, the answer would be C.

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4 years ago

The function f(x) = x] is graphed over the interval [-6, 3]. Which translation of the graph has the domain (-3, 6]? 0 A. g(x) =

bezimeni [28]

An interval graph in graphical theory is indeed an undirected graph formed by an interval set just on true line, with a top for every interval as well as an edge between vertex v to intersections. Graph intervals and these graphs are chordal graphs and graphs that are perfect, and the further discussion can be defined as follows:

Given:

$\bold{function\ f(x) = |x|}$

$\bold{Interval \ \[-6, 3\]}$

To find:

Domain=?

Solution:

The $\bold{function\ f(x) = |x|}$ is a graphic over the $[-6,3]$ interval.

A graph of the domain $[-3,6 ]$ is indicated mostly by the transformation that horizontal shifts to combat $(h(x)=f(x-3))$ .

$\to \bold{h(x) =f(x-3)}$

=|x-3|

Therefore, the final answer is "Option (D)".

Please find the complete question and a rule in the attachment file.

Learn more:

brainly.com/question/24161708

8 0

3 years ago

Jessica had $150 in her savings account after her first week of work. She then started adding $35 each week to her account for t

Fofino [41]

35w + 150 = s

$185, $220, $255, $290, $325

(Add $35 each week for 5 weeks)

6 0

3 years ago

Last season a Major League Baseball player got 160 hits in 200 times at bat. If the player expects to bat 400 times in the entir

zimovet [89]

Answer:

He's expected to hit 320 times.

Step-by-step explanation:

To solve this problem we first need to compute the ratio at which he hit the ball in the last season, to do that we need to divide the number of hits by the number of tries. We have:

ratio = number of hits/ number of tries

ratio = 160/200 = 0.8

Since he's expected to bat 400 times if he maintains the same ratio in this season he'll hit:

number of hits = (number of tries)*ratio

number of hits = 400*0.8 = 320

He's expected to hit 320 times.

8 0

3 years ago