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Naddik [55]
3 years ago
9

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:

<h3>y = -34/5</h3>

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
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