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Stella [2.4K]
3 years ago
8

Help me solve for X I forgot how to this

Mathematics
2 answers:
alexgriva [62]3 years ago
6 0

Step-by-step explanation:

hope it helps you.........

lana [24]3 years ago
3 0

Answer:

here \: is \: your \: solution :  -  \\  \\ here \: is \: a \: right \: traingle \: with \\  \\ base \:  = 52 \: units \\  \\ hypotenuse \:  = 65 \: units \\  \\ perpendicular \:  =  {?} \\  \\ we \: need \: to \: find \: perpendicular \\  \\ by \: using \: pythagorus \: theorem :  -  \\  \\ perpendicular ^{2}  \:  = base ^{2}  + perpendicular ^{2}  \:  \\  \\ perpendicular^{2}  \:  = 65 {}^{2}  - 52 {}^{2}  \\  \\ perpendicular {}^{2}  = (4225 - 2704) \\  \\ perpendicular {}^{2} = 1521 \\  \\ perpendicular =  \sqrt{1521}  \\  \\ perpendicular = 39 \: units \:  \\  \\ hope \: it \: helps \: you \:

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After simplifying, how many terms does the expression 4y-6+y2-9 contain?​
Alex73 [517]

Answer:

There are three terms in the simplified expression.

Step-by-step explanation:

We have to simplify the expression and have to count the number of terms that the expression has.

The expression is 4y - 6 + y² - 9

= 4y + y² - 6 - 9

= y² + 4y - 15

Therefore, there are three terms in the simplified expression, one for y² term, another is y term and the constant term. (Answer)

8 0
3 years ago
Read 2 more answers
Use the table to identify the values of p and q that should be used to factor x^2+9x-10 as (x+p)(x+q)
likoan [24]
X^2 + 9x -10 = (x -1)(x +10) = (x +(-1)) (x + 10)
p = -1 and q  = 10
answer is A.
5 0
3 years ago
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Find the equation of the line that passes through (1, -1) and is parallel to
daser333 [38]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

2x+y-3=0\implies y=\stackrel{\stackrel{m}{\downarrow }}{-2} x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line with a slope of -2 and that passes through (1 , -1)

(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad \qquad \stackrel{slope}{m}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-2}(x-\stackrel{x_1}{1}) \\\\\\ y+1=-2x+2\implies y=-2x+1

8 0
3 years ago
the population of arizona is estimated go increase by 6.2% every year. if the population was 4.18 million in 2016 estimate popul
aleksklad [387]

Given:

a.) The population of Arizona is estimated to increase by 6.2% every year.

b.) The population was 4.18 million in 2016.

For us to be able to determine the population in 2022, we will be using the following formula:

\text{ P = P}_0e^{rt}

Where,

P = Total population after time (t)

P₀ = Starting population = 4.18 million

r = Growth rate (in decimal form) = 6.2%/100 = 0.062

t = time (in years) = 2022 - 2016 = 6 years

e = Euler's number = 2.71828182845

We get,

\text{ P = P}_0e^{rt}\text{ = (4,180,000)(}2.71828182845)^{0.062(6)}\text{ P = 6,063,645.861797897 }\approx\text{ 6,063,646}

Therefore, the population in 2022 will be approximately 6,063,646.

7 0
1 year ago
determine the point of intersection of the following pair of lines ............2x-3y-4=-13 and 5x=-2y+25. 3x+2y-7=0 and 2x=12-5y
grandymaker [24]

Answer:

  1. (x, y) = (3, 5)
  2. (x, y) = (1, 2)

Step-by-step explanation:

A nice graphing calculator app makes these trivially simple. (See the first two attachments.) It is available for phones, tablets, and as a web page.

__

The usual methods of solving a system of equations involve <em>elimination</em> or <em>substitution</em>.

There is another method that is relatively easy to use. It is a variation of "Cramer's Rule" and is fully equivalent to <em>elimination</em>. It makes use of a formula applied to the equation coefficients. The pattern of coefficients in the formula, and the formula itself are shown in the third attachment. I like this when the coefficient numbers are "too messy" for elimination or substitution to be used easily. It makes use of the equations in standard form.

_____

1. In standard form, your equations are ...

  • 2x -3y = -9
  • 5x +2y = 25

Then the solution is ...

  x=\dfrac{-3(25)-(2)(-9)}{-3(5)-(2)(2)}=\dfrac{-57}{-19}=3\\\\y=\dfrac{-9(5)-(25)(2)}{-19}=\dfrac{-95}{-19}=5\\\\(x,y)=(3,5)

__

2. In standard form, your equations are ...

  • 3x +2y = 7
  • 2x +5y = 12

Then the solution is ...

  x=\dfrac{2(12)-5(7)}{2(2)-5(3)}=\dfrac{-11}{-11}=1\\\\y=\dfrac{7(2)-12(3)}{-11}=\dfrac{-22}{-11}=2\\\\(x,y)=(1,2)

_____

<em>Note on Cramer's Rule</em>

The equation you will see for Cramer's Rule applied to a system of 2 equations in 2 unknowns will have the terms in numerator and denominator swapped: ec-bf, for example, instead of bf-ec. This effectively multiplies both numerator and denominator by -1, so has no effect on the result.

The reason for writing the formula in the fashion shown here is that it makes the pattern of multiplications and subtractions easier to remember. Often, you can do the math in your head. This is the method taught by "Vedic maths" and/or "Singapore math." Those teaching methods tend to place more emphasis on mental arithmetic than we do in the US.

7 0
4 years ago
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