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2 years ago

Please help me, i need to finish

Mathematics

1 answer:

GrogVix [38]2 years ago

4 0

Answer:

1-1/4

2 - 2/4

3 - 3/4

Step-by-step explanation:

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In the equation left parenthesis x squared plus 14 x right parenthesis plus left parenthesis y squared minus 18 y right parenthe

Phoenix [80]

Answer:

Complete the square on x by adding 49 to both sides.

Complete the square on y by adding 81 to both sides.

Step-by-step explanation:

We have been given an equation $(x^2+14x)+(y^2+18y)=5$ . We are asked to complete the squares for both x and y.

We know to complete a square, we add the half the square of coefficient of x or y term.

Upon looking at our given equation, we can see that coefficient of x is 14 and coefficient of y is 18.

$(\frac{14}{2})^2=7^2=49$

$(\frac{18}{2})^2=9^2=81$

Now, we will add 49 to complete the x term square and 81 to complete y term square on both sides of our given equation as:

$(x^2+14x+49)+(y^2+18y+81)=5+49+81$

Applying the perfect square formula $a^2+2ab+b^2=(a+b)^2$ , we will get:

$(x+7)^2+(y+9)^2=135$

Therefore, We can complete the square on x by adding 49 to both sides and the square on y by adding 81 to both sides.

7 0

2 years ago

Please can I have an explanation also, I am terrible at these kinds of questions!

wlad13 [49]

Answer:

The fraction of the beads that are red is

Step-by-step explanation:

Algebraic Expressions

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

$\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]$

Knowing that:

$\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]$

$\displaystyle \frac{y}{b}=\frac{5}{4}$

Multiplying the equations above:

$\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}$

Simplifying:

$\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]$

Dividing [1] by r:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}$

Substituting from [2] and [3]:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}$

Operating:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}$

The fraction of the beads that are red is $\mathbf{\frac{10}{37}}$

8 0

2 years ago

Five workers are hired to seed a field by hand. Each is given a plot which is 6x12 feet in size. What is the total area of the f

Lorico [155]

Answer:

360 feet

Step-by-step explanation:

multiple 6 by 12 to get the area of the individual plot of land given to a single worker.

Then multiply by 5 for all 5 workers getting the same plot of land.

3 0

2 years ago

Christina earns $250 a week. To budget money, she pays $135 in bills each week. How much money does Christina have left at the e

Rama09 [41]

Answer:

460 USD

Step-by-step explanation:

monthly earnings = 250 x 4 = 1000

monthly bills = 135 x 4 = 540

end of month = 1000 - 540 = 460 USD

7 0

2 years ago

HELPPPPPPP PLEASEEEE

PSYCHO15rus [73]

The answer is 8.778 cm

5 0

2 years ago