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2 years ago

Solve for x on each of these questions please!

Mathematics

1 answer:

IgorLugansk [536]2 years ago

5 0

Answer:

1. x = 10

2. x = 4

Step-by-step explanation:

I use the angle ABC method:

AB² + AC² = BC²

6² + 8² = x²

x = 10

AB² + AC² = BC²

3² + x² = 5²

x = 4

HOPE THIS HELPS AND HAVE A NICE DAY <3

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The sum of the first 3 terms of a geometric series is 171 and the common ratio is 2/3. What is the first term?

goblinko [34]

Answer:

Step-by-step explanation:

let the terms be a,ar,ar²

r=2/3

a+a(2/3)+a(2/3)²=171

multiply by 9

9a+6a+4a=171×9

19 a=171×9

a=(171×9)/(19)

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2 years ago

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What is the justification for each step taken from line 2 to line 3?

matrenka [14]

2x was subtracted from both sides.

A. Subtraction Property of Equality

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3 years ago

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Slope intercepts No links, Will mark BRAINLIEST

Sergeeva-Olga [200]

Answer:

Lines are perpendicular to each other .

Step-by-step explanation:

Standard equation of line is : y = mx + c, Where m represents the slope

Given Equations :

$y = -5x + 1\\\\Slope , m_1 = -5$

$y = \frac{1}{5}x +1\\\\Slope, m_2 = \frac{1}{5}$

Two lines are parallel if the slope of the lines are same.

Two line are perpendicular if the product of the slope = - 1

Clearly slopes are not equal , therefore the lines are not parallel.

product of the slope is - 1, therefore the lines are perpendicular.

$m_1 \times m_2 = -5 \times \frac{1}{5} = - 1$

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2 years ago

(x+16)²=12 plz help me and show work

Readme [11.4K]

Answer:

The answer is $x=-16$ ± $2\sqrt{3}$ in exact form or $x=-12.535898$ , $x=-19.464102$ in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring $x+16$ , which will look like $x^{2} +32x+256-12=0$ . Next, simplify the equation again, which will look like $x^{2} +32x+244=0$ .

Then, use the quadratic formula to find the solutions. The quadratic formula looks like $\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}$ .

For this problem, the quadratic variables are as follows:

$a=1$

$b=32$

$c=244$

The next step is to substitute the values $a=1$ , $b=32$ , and $c=244$ into the quadratic formula and solve. The quadratic formula will look like $\frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}$ . To simplify the equation, start by simplifying the numerator, which will look like $x=\frac{-32(+-)4\sqrt{3} }{2*1}$ . Then, multiply 2 by 1 and simplify the equation, which will look like $x=-16(+-)2\sqrt{3}$ . The final answer is $x=-16$ ± $2\sqrt{3}$ in exact form. In decimal form, the final answer is $x=-12.535898$ , $x=-19.464102$ .

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2 years ago

Y intercepts of 3x^2-12x+6

Inessa05 [86]

Y=3x^2. -12x+6

If x= 0 then y= 3•0^2 -12•0+6=6
X=0, y=6

y intercept is the place where the curve touches the y-axis and is at point (0, 6)

6 0

2 years ago