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2 years ago

What is the distance between point A (-3, 3) and Point B (-2, 7)?

2 answers:

7 0

To find the distance between 2 points, you have to use the distance formula: $\sqrt{(x_{2}- x_{1})^{2} +( y_{2}- y_{1})^2 }$ . Fill in your numbers, and you got this: √((-2) - (-3))² + (7 - 3)², which equals about 4.123.

Answer: about 4.123

Archy [21]2 years ago

4 0

4 units. Plot the two point and connect them with a line. You can now make a right triangle. The line you plotted is the hypotonuse. Use the pythagorean theorem to find the distance between A and B is 4 units.

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4 times 24 in disruptive property

Nataly [62]

Step-by-step explanation:

You got it right! Great job!

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3 years ago

Rory built a sand castle that measured 73 inches by 47 inches, and dug a moat around it. afterward he decided to change the cast

navik [9.2K]

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Step-by-step explanation:

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3 years ago

2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.

shepuryov [24]

Answer:

Step-by-step explanation:

$\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\$

$= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}$

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2 years ago

The proportion of students in a psychology experiment who could remember an eight-digit number correctly for t minutes was 0.9 −

kaheart [24]

Answer:

The proportion would be 0.1

Step-by-step explanation:

Given, the function that shows the proportion of students in a psychology experiment who could remember an eight-digit number correctly for t minutes,

$f(t) = 0.9 - 0.4\ln(t)$

If t = 7 minutes,

$f(7) = 0.9 - 0.4\ln(7)=0.9 - 0.77836=0.12164\approx 0.1$

Hence, the proportion that remembered the number for 7 minutes is 0.1 ( approx )

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2 years ago

Expand and simplify<br> (2x2 + 3)(4x + 5) - 8x(x - 2)

Bezzdna [24]

I think the answer is 2x+12

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3 years ago