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4 years ago

3x+y=52x-2y=-2solve by using process of elimination (find both x and y)

Mathematics

1 answer:

Bingel [31]4 years ago

6 0

Answer:

The value of 'x' is 1 and 'y' is 2. So, the point is (1, 2).

Step-by-step explanation:

Given:

The given pair of linear equations are:

$3x+y=5\\2x-2y=-2$

In order to solve by elimination method, we have to eliminate any one variable using mathematical operations. Let us eliminate 'y'.

Multiplying the first equation by 2 and adding the result to the second equation. This gives,

$(3x+y)\times 2=5\times 2\\6x+2y=10\\2x-2y=-2\\+\\----------\\8x+0=8\\8x=8\\x=\frac{8}{8}=1$

Now, the value of 'y' can be calculated by plugging in 1 for 'x' in the first equation. This gives,

$3(1)+y=5\\3+y=5\\y=5-3\\y=2$

Therefore, the value of 'x' is 1 and 'y' is 2.

The solution is (1, 2).

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Which is an example x-intercept of the graph of the function y=tan(x-(5pi/6))

emmainna [20.7K]

Answer: x = 5π/6

Explanation:

1) Given function:

$y=tan(x- \frac{5 \pi }{6} )$

2) x-intercept are the roots of the function, i.e. the solution to y = 0

3) to find when y = 0, you can either solve the equation or look at the graph.

4) Solving the equation you get:

y = 0 ⇒ tan(x - 5π/6) = 0 ⇒ x - 5π/6 = arctan(0)

arctan(0) is the angle whose tangent is zero,so this is 0

⇒ x - 5π/6 = 0 ⇒ x = 5π/6.

Then, one example of an x-intercept is x = 5π/6, which means that when x = 5π/6, the value of the function is 0.

Since, the tangent function is a periodic function, there are infinite x-intecepts, that is why the questions asks for one example and not all the values.

You can verify by replacing the value x = 5π/6 in the given function:

y = tan (5π/6 - 5π/6) = tan(0) = 0.

4 0

3 years ago

Read 2 more answers

Brainliest question please help please help me now plz

Kruka [31]

Answer:

Option A) Inside the circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The radius is equal to the distance from the center to any point on the circle

the formula to calculate the distance between two points is equal to

$d\sqrt{(y2-y1)^2+(x2-x1)^2 }$

we have

A(-5,-8),M(-1,-3)

substitute the values

$r=\sqrt{(-3+8)^{2}+(-1+5)^{2}}$

$r=\sqrt{(5)^{2}+(4)^{2}}$

$r=\sqrt{41}\ units$

step 2

Find the distance from the center to point V

we know that

If the distance from the center to point V is equal to the radius, then the point V lie on the circle

If the distance from the center to point V is less than the radius, then the point V lie inside the circle

If the distance from the center to point V is greater than the radius, then the point V lie outside the circle

we have

A(-5,-8),V(-11,-6)

substitute in the formula

$d=\sqrt{(-6+8)^{2}+(-11+5)^{2}}$

$d=\sqrt{(2)^{2}+(-6)^{2}}$

$d=\sqrt{40}\ units$

$\sqrt{40}\ units< \sqrt{41}\ units$

The distance from the center to point V is less than the radius

therefore

The point V lie inside the circle

Hope that helped :)

8 0

3 years ago

I need the answer pls :)

photoshop1234 [79]

I need the answer To what

6 0

3 years ago

Calculate 11010-1101 in base 2

stiv31 [10]

Answer:

1101 base 2

Step-by-step explanation:

you first take the larger number up the the lower number down

11010 -1101
when dividing if it's zero you borrow one from the number on the left hand side
since it's in base 2 the number you borrow would be 2 then u subtract
I hoped it helped u

6 0

3 years ago

Find the missing section. Answers must be in fraction form.

frozen [14]

Answer:

$\frac{1}{10}$

Step-by-step explanation:

We have a circle that is split in three sections, two of which we know and we are asked to find the third missing section.

For the circle, we know that 4/5 and 1/10 is fit. Now we need the last one, to solve, we need to get the same denominator and see how much is missing.

Since 1/10 is our highest denominator, let's change 4/5 to have 10 as a denominator. Which would be through multiplying 5 to get 10.

What times 5 equals 10?

Now multiply both numerator and denominator by 2 to get our portion.

$\frac{4*2}{5*2}$

$\frac{8}{10}$

Now we have the same denominator, let's add our two fractions and see how much we have left.

8/10 + 1/10

9/10

We have 1/10 missing, therefore 1/10 is the answer.

3 0

3 years ago

3x+y=52x-2y=-2solve by using process of elimination (find both x and y)​

3x+y=52x-2y=-2solve by using process of elimination (find both x and y)