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3 years ago

Show that the statement is true. If ST has endpoints S(-6, -3) and T(0,3), then the midpoint M of ST lies

Mathematics

1 answer:

tankabanditka [31]3 years ago

6 0

Answer:

Use the midpoint formula

Step-by-step explanation:

(-6 + 0 ) ÷ 2 , (-3 + 3) ÷ 2

M = ( -3 , 0) which lies on the x axis

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What is the value of the expression 30 - 9+ 3 - (12 = 4)?

Flauer [41]

Answer:

Step-by-step explanation:

30 - 9 +3

30 - 12

18 - 12=4

12/4 = -3

18 - -3

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3 years ago

James bought a movie ticket and wants to pay for some friends. A ticket costs $6, and he has $38. How many friends can he pay fo

Firlakuza [10]

Answer:

6 friends, $2 left

Step-by-step explanation:

He has $38 dollars, but each ticket costs $6. Divide them to see how many tickets he can buy.

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3 years ago

Which are the solutions of x2 = –7x – 8?

vovangra [49]

Answer:

The solutions are:

$x_1=\frac{-7+\sqrt{17}}{2}$ $x_2=\frac{-7-\sqrt{17}}{2}$

Step-by-step explanation:

We have the following quadratic equation

$x^2 = -7x - 8$

We can rewrite the equation as follows

$x^2+7x + 8=0$

Now we use the quadratic formula to solve the equation

For an equation of the form $ax ^ 2 + bx + c = 0$ the quadratic formula is:

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

In this case:

$a=1,\ b=7,\ c=8$

Then:

$x=\frac{-7\±\sqrt{7^2-4(1)(8)}}{2(1)}$

$x=\frac{-7\±\sqrt{49-32}}{2}$

$x=\frac{-7\±\sqrt{17}}{2}$

$x_1=\frac{-7+\sqrt{17}}{2}$

$x_2=\frac{-7-\sqrt{17}}{2}$

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3 years ago

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Len [333]

$n-2=10n+42\qquad\text{add 2 to both sides}\\\\n=10n+44\qquad\text{subtract 10n from both sides}\\\\-9n=44\qquad\text{divide both sides by (-9)}\\\\\boxed{n=-\dfrac{44}{9}}$

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3 years ago

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