Geometry one help please!

What are the solutions to the quadratic equation (5y + 6)2 = 24?

Ivenika [448]

Answer:

y = $\frac{2\sqrt{6} }{5} -\frac{6}{5}$ OR y = $\frac{-2\sqrt{6} }{5} -\frac{6}{5}$

Step-by-step explanation:

Our quadratic equation is: (5y + 6)² = 24.

The first step is to square root both sides:

5y + 6 = ±√24 = ±2√6

Now subtract 6 from both sides:

5y = ±2√6 - 6

Finally divide by 5 from both sides:

y = $\frac{2\sqrt{6} }{5} -\frac{6}{5}$ OR y = $\frac{-2\sqrt{6} }{5} -\frac{6}{5}$

And, those are the solutions to the equation.

7 0

3 years ago

Read 2 more answers

What is the result of subtracting the second equation from the first?

dusya [7]

Answer: $11x-8y=-9$

Step-by-step explanation:

For this exercise you need to remember:

1) The mulitplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-$

2) By definition, like terms contain the same variables with the same exponent.

Then knowing this, and given the equations:

$8x - 4y = -4$ and $-3x+ 4y = 5$

You must subtract the like terms, which means that you must subtract the numerical coefficients of each term.

Then, you get the result is:

$8x - 4y = -4\\-3x+ 4y = 5\\...............................................\\8x-(-3x)-4y-4y=-4-5\\8x+3x-8y=-9\\11x-8y=-9$

5 0

3 years ago

Please help me with this question.

mixas84 [53]

Answer:

B

Step-by-step explanation:

In a triangle, the sum of any two sides must be bigger than the third.

For the first one, 10+20=30 is not greater than 30, so this is not correct.

For B, 122+137 = 259 > 257, 257+137>122 , and 257 + 122 > 137. This works

For C, 8.6 + 2.7 = 11.3 < 12.2, so this does not work

For D, 1/6 + 1/5 = 5/(6*5) + 6/(6*5) = 5/30 + 6/30 = 11/30 < 1/2 = 15/30, so this does not work

7 0

2 years ago

Help me please!! it's due today

Bess [88]

Answer:

the answer would be 14-16=-2

Step-by-step explanation:

first u look where the first long arrow goes on this problem then you follow the second arrow which stops at 6 then u count how much until negative 2. but how I did it is the form 14 how much to 0 which is 14 the I count how many until I get to -2 and there's the answer

3 0

2 years ago

Determine which equation is written in function form:

Mila [183]

<em>Greetings from Brasil... </em>

A 1st degree function can be written in two ways:

F(X) = AX + B

or

Y = AX + B

note that F(X) = Y

So, looking at the alternatives in the question, only Y = 7X/3 - 8 is equivalent to Y = AX + B, where:

A = 7/3

B = - 8

then

$\large{\boldsymbol{\mathbf{Y = \frac{7X}{3}-8\Leftrightarrow Y=AX+B}}}$ <em>a function of the 1st degree</em>

answer:

7 0

3 years ago