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3 years ago

What is the positive solution of x2 – 36 = 5x?

2 answers:

german3 years ago

8 0

First you would subtract 5x on each side. After that it should look like this:
x2+5x-36=0
Then you factor. You try to find factors of -36 and 5. Once you get that, you would split the two factors up into parenthesis with x. Example: (x-5)(x-4)=0
Then you would put both at 0 and solve from there to get your final answer I know I didn't give you the answer but I hope my explanation helped. :)

Ira Lisetskai [31]3 years ago

6 0

Answer:

The positive solution is x=9

Step-by-step explanation:

Given the equation

$x^2-36=5x$

we have to find the positive solution of above equation.

$Equation: x^2-5x-36=0$

By splitting middle-term method

$x^2-5x-36=0$

$x^2-9x+4x-36=0$

$x(x-9)+4(x-9)=0$

$(x+4)(x-9)=0$

$x+4=0, x-9=0$

The solution is x=-4 and x=9

Hence, the positive solution is x=9

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Line segment NY has endpoints N(-11, 5) and Y(3,-3).

777dan777 [17]

Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)$

$Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)$

$Midpoint=\left(-4,1\right)$

Slope of lines NY is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{-3-5}{3-(-11)}$

$m=\dfrac{-8}{14}$

$m=\dfrac{-4}{7}$

Product of slopes of two perpendicular lines is -1. So,

$m_1\times \dfrac{-4}{7}=-1$

$m_1=\dfrac{7}{4}$

The perpendicular bisector of NY passes through (-4,1) with slope $\dfrac{7}{4}$ . So, the equation of perpendicular bisector of NY is

$y-y_1=m_1(x-x_1)$

$y-1=\dfrac{7}{4}(x-(-4))$

$y-1=\dfrac{7}{4}(x+4)$

$y-1=\dfrac{7}{4}x+7$

Add 1 on both sides.

$y=\dfrac{7}{4}x+8$

Therefore, the equation of perpendicular bisector of NY is $y=\dfrac{7}{4}x+8$ .

6 0

3 years ago

Train a leaves new york at 9am eastern time on monday, headed for los angeles at a constant rate of 40 miles per hour. on the sa

nlexa [21]

We can assume that B leaves Los Angeles not at noon but at 2pm Eastern Time, so 5 hours later than A leaves New York.

In 5 hours A covers 5*40=200 miles. So, A and B together should cover 3,000-200=2,800 miles.

Combined rate = 40 + 60 = 100 miles per hour.

To cover 2,800 miles they'll need 2,800/100=28 hours.

2pm Eastern Time on Monday + 28 hours = 6pm Eastern Time on Tuesday.

Answer: 6:00pm on Tuesday

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3 years ago

What is the value of the expression?

Vesnalui [34]

1.583 3 is repeating

Hope this help you !

4 0

3 years ago

Pls answer correct or i will ban you<br>And I will mark brainlist whoanewers correct

vlada-n [284]

Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".

Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.

Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3

----------------------

To summarize so far, we have these three facts

angle CAB = angle CAD
AC = AC
angle ACB = angle ACD

in this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.

------------------------

Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.

It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).

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3 years ago

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OlgaM077 [116]

Answer:

Hii! Surface area= 207.35, volume= 226.19. Hope this helps!

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3 years ago

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