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3 years ago

Is triangle FGH continuing to try and go to JKL answer why or why not

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

3 0

Answer:

The correct answer would be the first option

Step-by-step explanation:

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Solve for y. 4y+5/3 = y-8/2 y = -4 y = -5 y = -8

horrorfan [7]

Answer:

Step-by-step explanation:

$\dfrac{4y+5}{3}=\dfrac{y-8}{2}\qquad\text{multiply both sides by }\ 2\cdot3=6\\\\6\!\!\!\!\diagup^2\cdot\dfrac{4y+5}{\not3_1}=6\!\!\!\!\diagup^3\cdot\dfrac{y-8}{\not2_1}\\\\2(4y+5)=3(y-8)\qquad\text{use distributive property}\\\\(2)(4y)+(2)(5)=(3)(y)+(3)(-8)\\\\8y+10=3y-24\qquad\text{subtract 10 from both sides}\\\\8y=3y-34\qquad\text{subtract 3y from both sides}\\\\5y=-34\qquad\text{divide both sides by 5}\\\\\boxed{y=-\dfrac{34}{5}}$

5 0

3 years ago

For the differential equations dydx=sqrt(y^2−36) does the existence/uniqueness theorem guarantee that there is a solution to thi

julsineya [31]

Answer:

1. (-4,6) there is no a solution to the equation through this point

2. (2,−6) there is no a solution to the equation through this point

3. (−5,39) there is a solution to the equation through this point

4. (−1,45) there is a solution to the equation through this point

Step-by-step explanation:

Using the existence and uniqueness theorem:

Let:

$F(x,y)=\sqrt{y^2-36} \\\\and\\\\\frac{\partial F}{\partial y} =\frac{y}{\sqrt{y^2-36} }$

Now, let's find the domain of $F(x,y)$ , due to the square root:

$y^2-36 \geq 0\\\\y^2\geq 36\\\\y \geq 6\hspace{12}or\hspace{12}y\leq-6$

So the domain of the function is:

$y \in R\hspace{12}y\geq6\hspace{12}or\hspace{12}y\leq-6$

Now, due to the fraction $\frac{\partial F}{\partial y}$ the denominator must be also different from 0, so:

$y^2-36\neq0\\\\y \neq \pm6$

So, the theorem tells us that for each $y_0\in R:\hspace{12}y_0>6\hspace{12}or\hspace{12}y_0$ there exists a unique solution defined in an open interval around $x_0$ .

1. (-4,6) there is no a solution to the equation through this point because $y_0=6$

2. (2,−6) there is no a solution to the equation through this point because

$y_0=-6$

3. (−5,39) there is a solution to the equation through this point because

$y_0>6$

4. (−1,45) there is a solution to the equation through this point because

$y_0>6$

6 0

3 years ago

There are 4 sticks, you pick up one stick. How many sticks are left

LenaWriter [7]

There are 3 sticks because:

4 sticks is the total and when you take away 1 stick, it is

4 - 1, which equals 3 sticks

So, the answer is 3 sticks are left.

Question: If u are in high school, why did you ask this question? You already know 4-1=3. Im guessing it was either a joke, or u were helping other people get points. If it is the second one, thx!!

6 0

3 years ago

Read 2 more answers

Can someone help me with this please

Sever21 [200]

Answer:

B = 22

C = 122

D = 36

Step-by-step explanation:

The angles of a triangle add to 180. Take the measure of each angle add them together. Set them equal to 180.

2x + x + 4 + 7x - 4 = 180

10x = 180

x = 18

To find each angle, substitute x = 18.

Angle B is 18 + 4 = 22

Angle C is 7(18) - 4 = 122

Angle D is 2(18) = 36

4 0

2 years ago

Read 2 more answers

I'm confused on how to find x

azamat

Answer:

x = 2

Step-by-step explanation:

Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be $\sqrt2$ .

We can then solve for x using the Pythagorean theorem:

$\sqrt2^2+\sqrt2^2=x^2\\2+2=x^2\\4=x^2\\x=2$

Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be $\sqrt2$ times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.

7 0

2 years ago