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4 years ago

Find the distance between the following points: A(9,2) and B(3,6).

Mathematics

1 answer:

scZoUnD [109]4 years ago

5 0

Answer:

d = 2 $\sqrt{3}$

Step-by-step explanation:

$d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(3-9)^2+(6-2)^2} \\d= \sqrt{(-6)^2+(4)^2} \\d= \sqrt{(36)+(16)} \\d= \sqrt{52} \\d=2 \sqrt{13}$

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Solve the pic one and this one as well: <br><br> Solve 2/3(x+6)=7 for x <br><br> Plz and thank you

lidiya [134]

2/3x +12/3 =7
2/3x + 4 =7
2/3x=7-4
2/3x=3
x=3*3/2
x=3

10y + 70= 12y
12y-10y=70
2y=70
y=70/2=35

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3 years ago

Distributive simplifiy 8(y+3)

goldfiish [28.3K]

Well, you distribute the 8 to both terms since it is being multiplied.
8 * y = 8y
8 * 3 = 24
so the ending equation should be 8y + 24

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3 years ago

Read 2 more answers

5x^2-40=0; solve by using square roots.

Pavel [41]

5x- SR 40= 0., add to the other side, 5x= SR 40. divide both sides by 5, x= SR of 8, or 2 SR 2

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4 years ago

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A gift shop had 500 coloring pencils. The shop sold 3 sets of 20 coloring pencils, 6 sets of 12 coloring pencils, and 10 sets of

alexira [117]

500-(3*20)-(6*12)-(10*18)=188 pencils left

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3 years ago

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If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c

dolphi86 [110]

Given:

$(ax+2)(bx+7)=15x^2+cx+14$

And

$a+b=8$

Required:

To find the two possible values of c.

Explanation:

Consider

$\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}$

$\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}$

And also given

$a+b=8---(2)$

Now from (1) and (2), we get

$\begin{gathered} a+\frac{15}{a}=8 \\ \\ a^2+15=8a \\ \\ a^2-8a+15=0 \end{gathered}$ $a=3,5$

Now put a in (1) we get

$\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}$

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

$\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}$

When a=5 and b=3, we have

$\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}$

Final Answer:

The option D is correct.

31 and 41

8 0

1 year ago