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2 years ago

Find the distance between the points. (-4,2), (-4,-5) The distance is _ .

Mathematics

2 answers:

MaRussiya [10]2 years ago

4 0

Answer:

The distance is (-4,3)

Step-by-step explanation:

count between the numbers :)

Allushta [10]2 years ago

3 0

Answer:

distance = 7 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (- 4, 2 ) and (x₂, y₂ ) = (- 4, - 5 )

d = $\sqrt{(-4-(-4))^2+(-5-2)^2}$

= $\sqrt{(-4+4)^2+(-7)^2}$

= $\sqrt{0^2+49}$

= $\sqrt{49}$

= 7

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3 years ago

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Given q(x)=3x and r(x)=x2. What is (r∘q)(2)? 36 10 12 24

zmey [24]

Answer:

the answer would be 36.

Step-by-step explanation:

and here go you would get it

R(-5) = -3*(-5) - 4

R(-5) = 15 - 4

R(-5) = 11

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3 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

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DochEvi [55]

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3 years ago

$100 is invested at 12% per year. If the amount is compounded annually, write the total amount after 2 years in exponential func

Sladkaya [172]

Answer:

A = $100(1.12)^2

Step-by-step explanation:

The standard formula for compound interest is given as;

A = P(1+r/n)^(nt) .....1

Where;

A = final amount/value

P = initial amount/value (principal)

r = rate yearly

n = number of times compounded yearly.

t = time of investment in years

For this case;

P = $100

t = 2years

n = 1

r = 12% = 0.12

Substituting the values, we have;

A = $100(1+0.12)^(2)

A = $100(1.12)^2

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3 years ago