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1 year ago

Solve the quadratic equation by completing the square. x²+18x+79=0

Mathematics

1 answer:

pogonyaev1 year ago

8 0

$x^2 + 18x=-79 \\ \\ x^2 + 18x+81=2 \\ \\ \boxed{(x+9)^2=2} \\ \\ x+9=\pm \sqrt 2 \\ \\ x=-9 \pm \sqrt{2} \\ \\ \boxed{x=-9+\sqrt{2}, -9-\sqrt{2}}$

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Two ice skaters push against each other. The skater on the left has a mass of 70.0 kg and the skater on the right has a mass of

svetoff [14.1K]

Answer:250 N

Step-by-step explanation:

Given

mass of skater on left side $m_l=70\ kg$

mass of skater on right side $m_r=90\ kg$

If the skater on the left experience a force of $250\ N$

If they push against each other then they must experience an equal force according to newtons third law

Thus $F_l=F_r$

Thus skater on right experience $250\ N$ force

4 0

2 years ago

No work need to be shown.

s344n2d4d5 [400]

This problem is quite simple, but it may seem tricky at first.
y is a function of x, so replace y with f(x)
You get f(x) = 2x - 4
D is your answer.
Have an awesome day! :)

4 0

2 years ago

What is the value of x for log6(5x) + log6(2)=5

Igoryamba

$\bf \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_6(5x)+\log_6(2)=5\implies \log_6(5x\cdot 2)=5\implies \log_6(10x)=5 \\\\\\ 6^{ \log_6(10x)}=6^5\implies 10x=6^5\implies x = \cfrac{6^5}{10}\implies x = \cfrac{3888}{5}\implies x = 777.6$

8 0

2 years ago

Can someone please help me with this ASAP‼️ Thank You

AVprozaik [17]

Let x = cost of the dishwasher.

The amounts the children are paying are:

Mark =20% = 1/5, so 1/5x

Sorin = 75

Raymond = 1/4x

Stephanie = 75

Kristin = 1/3x

Add them together:

x = 1/5x + 1/4x + 1/3x + 75 + 75

x - ( 1/5x + 1/4x + 1/3x ) = 150

Rewrite fractions with common denominator:

x - ( 12/60x + 15/60x + 20/60x ) = 150

60/60x - 47/60x = 150

13/60x = 150

x = 150/1 • 60/13

x = 9000/13

x = 692.31

The total cost of the dishwasher is $692.31

Now calculate the amount each child pays:

Mark = 1/5 x = 692.31/ 5 = $138.46

Sorin = $75.00

Raymond = 1/4 x = 692.31 / 4 = $173.08

Stephanie = $75.00

Kristin = 1/3 x = 692.31 / 3 = $230.77

5 0

3 years ago

X^2-2x+15 in quadratic equation

Arturiano [62]

Answer:

No solution

Step-by-step explanation:

There is not a real nor an imaginary solution to this equation. You can use a radical calculator to verify.

3 0

2 years ago