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Oduvanchick [21]

3 years ago

10

Insert brackets to make the calculation correct

%20%3D%2051" id="TexFormula1" title="100 - 4 + {3}^{2} = 51" alt="100 - 4 + {3}^{2} = 51" align="absmiddle" class="latex-formula">

1 answer:

BlackZzzverrR [31]3 years ago

5 0

Answer:

$100 - {(3+ 4)}^{2}$

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Solve for x.<br> 2x² +21x-61 = (x+7)²<br><br> Please

Ymorist [56]

Answer:

$x = \frac{-7 +\sqrt{489} }{2}$

$x = \frac{-7 - \sqrt{489} }{2}$

Step-by-step explanation:

2x² +21x-61 = (x+7)²

expand

2x² + 21x - 61 = x² + 14x +49

move everything to one side

x² + 7x - 12 = 0

use quadratic formula

$x = \frac{-b +- \sqrt{b^{2}-4ac } }{2a}$

plug in the values

$x = \frac{-7 +- \sqrt{7^{2}-4(1)(-110) } }{2(1)}$

solve

$x = \frac{-7 +- \sqrt{49-4(1)(-110) } }{2}$

$x = \frac{-7 +- \sqrt{49 + 440 } }{2}$

$x = \frac{-7 +- \sqrt{489} }{2}$

7 0

2 years ago

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Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)

fredd [130]

Answer:

$f(x)=\frac9{x+1}\\ f'(x)=-\frac9{(x+1)^2}\\ f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\\ |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\\ x_1=2\ \vee\ x_2=-4\\ f(x_1)=f(2)=\frac9{2+1}=3\\ f(x_2)=f(-4)=\frac9{-4+1}=-3$

First tangent line:

$y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5$

Second tangent line:

$y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7$

Notice: slope of -1 means that both $f'(x_1), \ f'(x_2)$ are equal to -1, so $f'(x_1)=-1 \ and \ f'(x_2)=-1$

6 0

3 years ago

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Find the value of the logarithm Log 182 round answer to the nearest thousandth

Tresset [83]

$log(182)=log(2*7*13)$

As, $log(m*n)=log(m)+log(n)$

$log(2*7*13)=log(2)+log(7)+log(13)$

=0.301029+0.845098+1.13943

=2.26007

=2.260(approximate)

6 0

3 years ago

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-6(1+8a)=36-6a. anybody know this answer ?

Gwar [14]

Answer:

a=-1

If you need explanation please comment

5 0

3 years ago

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PLZ HELP ANSWER BY TODAY

Ivahew [28]

X = 29

Explanation:

Rigt angle means 90°

Here 2x + 32 = 90

so, 2x = 90 - 32

2x = 58

x = 58÷2

x = 29

7 0

3 years ago