I need this done today

Hellllp me with Math pleaseeee

MariettaO [177]

Answer:

0 2

1 4 ⟌ 3 7

- 0

3 7

- 2 8

9

2 r 9

for 37 divided by 14

0 7

1 3 ⟌ 9 6

- 0

9 6

- 9 1

5

7 r 5

for 96 divided by 13

0 2 0

4 1 ⟌ 8 5 8

- 0

8 5

- 8 2

3 8

- 0

3 8

for 858 divided by 41

20 r 38

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

$(x-h)^{2} +(y-k)^{2}=r^{2}$ (1)

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :

For the first parenthesis:

$x^{2}+6x+b^{2}$

We can rewrite this as:

$x^{2}+2(3)x+b^{2}$

Hence in this case $b=3$ and $b^{2}=9$ :

$x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}$

For the second parenthesis:

$y^{2}-8y+b^{2}$

We can rewrite this as:

$y^{2}-2(4)y+b^{2}$

Hence in this case $b=-3$ and $b^{2}=9$ :

$y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}$

Then, equation (5) is rewritten as follows:

$(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16$ (6)

Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.

Rearranging:

$(x-3)^{2}+(y-4)^{2}=100$ (7)

At this point we have the circle equation in the center radius form $(x-h)^{2} +(y-k)^{2}=r^{2}$

Hence:

$h=-3$

$k=4$

$r=\sqrt{100}=10$

8 0

3 years ago

Write an expression to represent the phrase, "6 of one thing plus half a dozen of the other"

yawa3891 [41]

'of' means multiply
half a dozen means 12/2=6

6 of one thing means 6 times x
plus means ad
half a dozen of another mean 6 times y

they are added

6x+6y

2 variables
it says 'of the other' so they are diferent

4 0

3 years ago

What is the completely factored form of 18x^4 – 42x^3 + 24x^2?

Galina-37 [17]

6x2(3x4)(x1 I’m pretty sure it’s right if not let me now and I’ll figure something out but..hope it helps u

6 0

3 years ago

Read 2 more answers

7.

nika2105 [10]

Answer:

B. {–3, 5.9, 8.3}

Step-by-step explanation:

The domain is the set of all the values of

x .The range is the set of all the values of y .

Domain: { 3.2 , 7.6 , 1.4 , − 9.1 }

Range: { − 3 , 5.9 , 8.3 }

Answer:

range is -3, 5.9 , 8.3

Step-by-step explanation:

{(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}

We are given with set of ordered pairs (x,y)

In each ordered pair, x is the domain and y is the range

for domain , take all the x values (first number) from the ordered pairs

for range, take all the y value (second number) from the ordered pairs

y values of the ordered pairs are -3, 5.9, -3, 8.3

So range is -3, 5.9 , 8.3

3 0

3 years ago