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Nataly [62]
3 years ago
6

X+y=4 X-3y=12 Graph?

Mathematics
1 answer:
AlekseyPX3 years ago
8 0
I'll solve it algebraically


x+y=4
x-3y=12

multiply first equatoin by -1 and add to second

-x-y=-4
<u>x-3y=12 +</u>
0x-4y=8


-4y=8
divide both sides by -4
y=-2

sub back

x+y=4
x+-2=4
add 2 to both sides
x=6

x=6
y=-2
(6,-2)
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2 years ago
The total cost of Anfä's trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup:
daser333 [38]

Answer:

The cost of each cavity filling was $ 134.60.

Step-by-step explanation:

Given that the total cost of Anfa's trip to the dentist was $ 628.35, and she paid a flat fee of $ 89.95 which included the checkup: cleaning and then had 4 cavities filled, each of which cost the same amount, to determine which shows the correct equation and value of x, the cost of each cavity filling, the following calculation must be performed:

(628.35 - 89.95) / 4 = X

538.4 / 4 = X

134.6 = X

Therefore, the cost of each cavity filling was $ 134.60.

5 0
2 years ago
Rewrite −1 + 2i in polar form.
raketka [301]
The length of the radius would sqrt(1+4), or sqrt(5).
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The angle would be in Quadrant II and would be arctan ------ , or arctan (-2).
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Find this angle using a calculator or table.

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8 0
3 years ago
I=$17, P=$500, t=2 years %
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Step-by-step explanation:

17=500*2*x

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rate is 1.7 percent

3 0
3 years ago
A company makes paper labels for paint cans. As shown below, cach can is in the shape of a cylinder with a height of 9 cm and a
IgorC [24]

Given:

Height of cylinder, h = 9 cm

Radius, r = 3 cm

Total amount of paper the company has = 8138.88 cm²

Let's find the number of labels that can be made given that the label covers only the side.

Here, we are to apply the formula for the surface area of a cylinder.

We have:

SA=2\pi rh+2\pi r^2

The 2πr² represents the area of the top and bottom circle of the cylinder.

Since the label covers only the side, we are to exclude the 2πr².

Hence. we have:

SA_{label}=2\pi rh

WHere:

r = 3 cm

h = 9 cm

Thus, we have:

\begin{gathered} SA_{label}=2*3.14*3*9 \\  \\ SA_{label}=169.56\text{ cm}^2 \end{gathered}

Now, the number of labels they can make is:

\begin{gathered} \text{ number of labels = }\frac{8138.88\text{ cm}^2}{169.56\text{ cm}^2} \\  \\ \text{ number of labels = 48} \end{gathered}

Therefore, the company can make 48 labels.

ANSWER:

48 Labels

8 0
1 year ago
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