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Anika [276]
3 years ago
14

Solve the system of equations using elimination. 4x+3y=3 4x-2y=18

Mathematics
2 answers:
eduard3 years ago
5 0
The answer us 71633912
klasskru [66]3 years ago
4 0
Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point form: (3, -3)

Equation form: x = 3, y= -3
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Factor the algebraic expression below in terms of a single trigonometric function. sin 2x + sin x - 2
Pie

Answer:

The factored form is (sin x +2)(sin x-1)

Step-by-step explanation:

We have been given the trigonometric function \sin^2 x +\sinx-2

We can factor this by AC method. In AC method we multiply the term a and c and then write the middle term b in such a way that the sum/difference is equal to the product 'ac'

Using the method, we can write sinx as 2sinx -sinx

\sin^2 x +2\sinx-\sin x-2

Now, we group the first two terms and the last two terms

(\sin^2 x +2\sinx)+(-\sin x-2)

Now, we take GCF from each group

\sin x(\sin x +2)-1(\sin x+2)

Factor out (sinx+2)

(\sin x +2)(\sin x-1)

Therefore, the factored form is (sin x +2)(sin x-1)

7 0
3 years ago
Read 2 more answers
Find the arc length of the 3/4 of a circle with a radius of 5
IgorLugansk [536]

Answer:

7.5 pi

Step-by-step explanation:

The formula for arc length of a sector is denoted as

\frac{x}{360}2\pi r, where x is the central angle of the sector.

Since the sector is 3/4 of a circle, the central angle will be 3/4 of 360 degrees.

3/4 of 360 is 270, so we have our central angle. We also have our radius which we can plug into the formula.

\frac{270}{360}2(5)\pi

2 times 5 is equal to 10, and 270/360 simplifies to 3/4. 3/4 times 10 is equal to 7.5, so the answer is 7.5 pi

3 0
3 years ago
What is the value of h (-2) when h (3) = 32 +1?<br> Enter your answer in the box.<br> h (-2) =
just olya [345]

Answer:(-22)

Step-by-step explanation:

What is the value of h (-2) when h (3) = 32 +1?

hx3=33

33 divided by 3

which means h=11

that makes 11(-2)

=(-22)

8 0
3 years ago
You buy 70 of your favorite songs from a Web site that charges ​$0.98 for each song. What is the cost of 70 ​songs? Use mental m
Leya [2.2K]

Answer: If this isn't a trick question it is $68.60

Step-by-step explanation: You just multiply the 98 cents by the 70 songs.

7 0
3 years ago
Read 2 more answers
In class A, John got 85 for his first test John's class mean was 75 and standard deviation was 5. In class B, Kathy got 80 in he
ivanzaharov [21]

Answer:

b. Kathy

Step-by-step explanation:

We compare each of their score by how far away from the mean when in term of the standard deviation. Using the following formula

\frac{x - \mu}{\sigma}

For John he is (85 - 75)/5 = 2.

For Kathy she is (80 - 50)/10 = 3.

Since Kathy is 3 standard deviation better than her class' average, while John is only 2's. We conclude that Kathy did better.

6 0
3 years ago
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