Name the property shown and explain

Mathematics

1 answer:

Alika [10]1 year ago

5 0

The distributive property is being used because a is being distributed to b and c, which leaves you with ab + ac

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The length of a line segment is 7. Its end points are (1, 3) and (k, 3). Solve for k. Is there more than one solution? Explain.

Brilliant_brown [7]

$Endpoints:\\\\A(1,3)\ and\ B(k,3)\\\\Formula\ for\ length\ of\ line:\\\\
|AB|=\sqrt{(x_b-x_a)^2+(y_b-y_a)^2}\\\\
|AB|=7\\\\7=\sqrt{(k-1)^2+(3-3)^2}\\\\
7=\sqrt{k^2-2k-1}\ \ |^2\\\\
49=k^2-2k-1
$ $49=k^2-2k-1\\\\
-k^2+2k+1+49=0\\\\
-k^2+2k+50=0\\\\ \Delta=b^2-4ac\\\\a=-1,\ b=2,\ c=50 \\\\\Delta=(2)^2-4*(-1)*50=4-=4+200=204\\\\ \sqrt{\Delta}=2\sqrt{51}$ $\\\\k_1=\frac{-b-\sqrt{\Delta}}{2a}\ \ k_1=\frac{-2-2\sqrt{51}}{2*(-1)}=1+\sqrt{51} \\\\\ or\ k_2=\frac{-b+\sqrt{\Delta}}{2a}\ \ k_1=\frac{-2+2\sqrt{51}}{2*(-1)}=1-\sqrt{51}$

5 0

3 years ago

Please answer brainlest

Sergio039 [100]

Answer:

1st page: Less than (<)

2nd option: 1st and 2nd option

Step-by-step explanation:

1st page: Not up to 12 visitors

n < 12

2nd page:

-2 > -10

-8 > -10

3rd page:

b < 11 (The board is shorter than 11 centimeters)

b > 11 (The box contains more than 11 books)

b < 12 (There are fewer than 12 beetles in a jar)

b > 12 (The building is taller than 12 feet)

4th page

Choose the arrow pointing left and no shaded dot and place it on 20.2

8 0

3 years ago

What is are the 2 square roots of 121/49

expeople1 [14]

If you are asking what the square roots of 121 are and what the square roots of 49 are it is:

11^2=121 and
7^2=49

if, however you're asking what the square roots of 121 divided by 49, I don't know. (this sign '/' is commonly used as a division sign so I'd just want to clarify).

7 0

3 years ago

Read 2 more answers

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

NeX [460]

Answer:

0.674

Step-by-step explanation:

If the random variable X is exponentially distributed and X has an average value of 25 minutes, then its probability density function (PDF) is

$\bf f(x)=\frac{1}{25}e^{-x/25}\;(x\geq 0)$