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Vilka [71]
2 years ago
11

**ANSWER QUICKLY PLEASE**

Mathematics
2 answers:
Levart [38]2 years ago
7 0

Answer:

is 6.5y + 10

iready

tresset_1 [31]2 years ago
4 0

Answer:

6.5y + 10

Step-by-step explanation:

bc y'know.. i always use this strategy:

we are no strangers to love. you know the rules.. and so do i!!

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Show work please<br> \sqrt(x+12)-\sqrt(2x+1)=1
Nesterboy [21]

Answer:

x=4

Step-by-step explanation:

Given \displaystyle\\\sqrt{x+12}-\sqrt{2x+1}=1, start by squaring both sides to work towards isolating x:

\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2

Recall (a-b)^2=a^2-2ab+b^2 and \sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}:

\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2\\\implies x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1

Isolate the radical:

\displaystyle\\x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1\\\implies -2\sqrt{(x+12)(2x+1)}=-3x-12\\\implies \sqrt{(x+12)(2x+1)}=\frac{-3x-12}{-2}

Square both sides:

\displaystyle\\(x+12)(2x+1)=\left(\frac{-3x-12}{-2}\right)^2

Expand using FOIL and (a+b)^2=a^2+2ab+b^2:

\displaystyle\\2x^2+25x+12=\frac{9}{4}x^2+18x+36

Move everything to one side to get a quadratic:

\displaystyle-\frac{1}{4}x^2+7x-24=0

Solving using the quadratic formula:

A quadratic in ax^2+bx+c has real solutions \displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}. In \displaystyle-\frac{1}{4}x^2+7x-24, assign values:

\displaystyle \\a=-\frac{1}{4}\\b=7\\c=-24

Solving yields:

\displaystyle\\x=\frac{-7\pm \sqrt{7^2-4\left(-\frac{1}{4}\right)\left(-24\right)}}{2\left(-\frac{1}{4}\right)}\\\\x=\frac{-7\pm \sqrt{25}}{-\frac{1}{2}}\\\\\begin{cases}x=\frac{-7+5}{-0.5}=\frac{-2}{-0.5}=\boxed{4}\\x=\frac{-7-5}{-0.5}=\frac{-12}{-0.5}=24 \:(\text{Extraneous})\end{cases}

Only x=4 works when plugged in the original equation. Therefore, x=24 is extraneous and the only solution is \boxed{x=4}

4 0
2 years ago
Describe what the notation Upper P (Upper B vertical line Upper A )represents.
sergey [27]

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Upper P (Upper B vertical line Upper A)

means

P(B|A)

It means that probability of getting event B given that Event A is occurred.

D. The probability of event B​ occurring, given that event A has already occurred. is also expressed as P(B|A)

Hence, Option 'D' is correct.

4 0
3 years ago
Find the value of x the missing leg​
Fantom [35]

Answer:

the answer is 17

wlecome

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the area of a rectangle that is 17 3/8 in. By 4 1/9 in.
timama [110]

Answer:

    71 31/72 in

Step-by-step explanation:

multiply the length and width for the formula. :)

4 0
3 years ago
Find the sum:(x^2+2x+3)+(3x^2+x+1)
Akimi4 [234]
Answer: 4x^2 + 3x + 4
(x^2 + 3x^2) + (2x +x) + 3 + 1
3 0
3 years ago
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