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3 years ago

How to Simplify the following expression −3x2+5−12x−149x2

1 answer:

3 0

Multiply the numbers: 3 x 2=6 = 6x + 5 - 12x - 2 x 149x
Next Multiply the numbers 149 x 2 = 298

Then, Group like terms, =-6x-12x-298x+5

Add similar elements -6x-12x-298x=-316x,
and you get -316x+5!

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30 POINTS AVAILABLE

kherson [118]

Answer:

$\large\boxed{(x-2)^2+(y-1)^2=34}$

Step-by-step explanation:

The equation of a circle in standard form:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

3 0

3 years ago

The value of √30 is between which two to numbers ?

Naddika [18.5K]

5 and 6, the value is about 5.48

8 0

3 years ago

A speaker is in the shape of a cube with an edge length of 3.5 inches. The speaker is sold in a package in the shape of

wlad13 [49]

Answer:

I think it would be 6800 square in because you just have to multiply 16 by 425.... Sorry if it is wrong

Step-by-step explanation:

5 0

3 years ago

•The following system of functions are shown on the graph:

Setler79 [48]

Answer:

Neither

Step-by-step explanation:

knowing that the system are y=-x+6 and y=x+2, then: x+2=-x+6; x+x=6-2; 2x=4; x=2, and replacing x in y we have: y=-2+6=4 and y=2+2=4, finally tha solution to sistem is (2,4)

7 0

3 years ago

There are 24 pens in a desk drawer. The pens are either red or blue. The ratio of red pens to blue pens is 5:1. How many pens ar

Flura [38]

Answer:

The number of red pens is 20.

The number of blue pens is 4.

Step-by-step explanation:

We are given that, the ratio of number of red pens to the number of blue pens is 5 : 1.

∴ Let us assume that the number of red pens be 5x and number of blue pens be x.

Total number of pens in the desk drawer = 24

Now, according to question :

Number of red pens + Number of blue pens = 24

⇒5x + x = 24

⇒6x = 24

⇒ $x=\frac{24}{6}=4$

So, number of red pens in the drawer = 5x = 5 × 4 = 20

Number of blue pens in the drawer = x = 4

6 0

3 years ago