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3 years ago

What is this and how do you do it ? thank you

Mathematics

1 answer:

mars1129 [50]3 years ago

7 0

Answer:

$568.38

Step-by-step explanation:

Michaels starts the day with $782.88 in his account.

Then he uses $55 from his debit cars to pay for car repairs. Subtract 55 from 782.88 to get $727.88 in the account after the repairs.

After that, he uses $89.50 for a clothing purchase. Subtract $89 from $727.88 to get 638.88, then subtract another 50 cents to get $638.38 after the clothing purchase.

Lastly, he withdraws $70 from his account. Subtract 70 from $638.38 to get a final answer of $568.38 at the end of the day.

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Please help! "Indicate the equation of the given line in standard form. The line containing the midpoints of the legs of right t

julsineya [31]

Nice. We're not really told which is the right angle. We can tell from the squared distances:

$AB^2=(1 - -5)^2 + (1-5)^2=6^2+4^2=52$

$BC^2=(3-1)^2+(4-1)^2=2^2+3^2=13$

$AC^2=(3- -5)^2+(4 -5)^2=8^2+1^2=65$

We see $AC^2=AB^2+BC^2$ so B is the right angle.

That was preliminary and probably indicated in an associated figure.

Now we want the line through the midpoint of the legs, AB and BC, in standard form.

The midpoint of AB is the average of the coordinates of A and B:

$\left( \dfrac{-5 +1}{2}, \dfrac{5+1}{2} \right) = (-2,3)$

The midpoint of BC is

$\left( \dfrac{1 + 3}{2}, \dfrac{1 + 4}{2} \right) = ( 2, \frac 5 2)$

The line through those points is

$(y - 3)(2 - -2)=(x - -2)(\frac 5 2 - 3)$

$4y - 12 = (x+2)(- \frac 1 2)$

$8y - 24 = -x -2$

$x + 8y = 22$

That's the answer. Let's check it.

Midpoint of AB is (-2,3), -2 + 8(3)=22 good.

Midpoint of BC is (2,5/2), 2+8(5/2)=22 good.

$\textrm{Answer: } x + 8y = 22$

4 0

3 years ago

JK has endpoints J(−5,4) and K(7,−10). Identify the coordinates of the midpoint of JK. Please help!!

sesenic [268]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
J(\stackrel{x_1}{-5}~,~\stackrel{y_1}{4})\qquad
K(\stackrel{x_2}{7}~,~\stackrel{y_2}{-10})
\qquad
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{7-5}{2}~~,~~\cfrac{-10+4}{2} \right)\implies \left( \cfrac{2}{2}~~,~~\cfrac{-6}{2}\right)\implies (1,-3)$

4 0

3 years ago

If 72 = 12x, what does x equal?

CaHeK987 [17]

Answer:

x=6

Step-by-step explanation:

So, x is our unknown variable. An so you have to ask yourself, what times 12= 72? The answer would be 6, because 12x6=72

The proper way to do it, would be to divide 12/12 so you isolate the variable, and what you do to one side, you do to the other, so divide 72 by 12 and you get 6! Hope this helps!

6 0

3 years ago

The piecewise function h(x) is shown on the graph.

Ray Of Light [21]

Answer:

Step-by-step explanation:

3 0

3 years ago

If you got $22.48 in change from paying with a $100 bill how much was your purchase

Elenna [48]

Answer:

$ 77.52

Step-by-step explanation:

100.00

- 22.48

---------------

77.52

7 0

4 years ago

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