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Alex17521 [72]
3 years ago
10

(a+b)^2 bằng bao nhiêu

Mathematics
1 answer:
miskamm [114]3 years ago
3 0

Answer:

b^2+2*a*b+a^2

Step-by-step explanation:

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What is the equation of the line x–3y=18in slope-intercept form?
Alekssandra [29.7K]

Answer:

y=\frac{1}{3} x-6

Step-by-step explanation:

Write down the slope-intercept form:

y=mx+b

Where m is the slope and b is the y-intercept.

To turn the equation into slope-intercept form, isolate y on the left-hand side:

x-3y=18\\-3y=18-x\\y=-6+\frac{x}{3} \\

Rearrange the equation a bit:

y=\frac{1}{3} x-6

5 0
2 years ago
Sean wrote the equation 9.25 = 5m, where m is the cost per pound, to show the relationship between the total cost, $9.25, and th
OLEGan [10]
<h2>Explanation:</h2>

The complete question is in a comment above. The statements says that:

  • Sean wrote the equation 9.25=5m
  • m is the cost per pound.
  • The equation show the relationships between the total cost, $9.25, and the number of pounds of pears.

So we are asked to write an write an equation to show the cost y of x pounds of pears. In other words, we need to write an equation such that y is given in terms of x, where x is the pounds of pears. So:

y=f(x)

From the equation we can determine m as:

m=\frac{9.25}{5}=1.85

So each pound costs $1.85. The equation tells us that 5 pounds of pears result costs $9.25. Then, by proportion:

\frac{y}{x}=\frac{9.25}{5} \\ \\ y=1.85x

So choosing the number of pounds as 0, 1, 2, 3, 4, 5, the table would be:

\begin{array}{cc}x(\text{Number of pounds}) & y(\text{Cost in dollars})\\0 & 0\\1 & 1.85\\2 & 3.7\\3 & 5.55\\4 & 7.4\\5 & 9.25\end{array}

From the table we can know that the graph is a line. that passes through all these points. Since this line passes through the origin, then y varies directly as x (Direct Proportion).

3 0
3 years ago
Suppose a house costs $270,000 appreciates by 5% each year. In about how many years will the house be worth $350000?
Vikki [24]
350000 =  270000(1.05)^n

1.05)^n = 350000/270000 = 1.296296

n =  log 1.296296 / log 1.05 = 5.3 years answer
7 0
3 years ago
A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each ad
vovikov84 [41]

Solution:

A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each adult.

First we make inequality according to question.

In a family number of children 3

Charge for 1 child = $y per hour

Charge for 3 children = 3y

Charge for 1 Adult = $x per hour

Charge for 2 adults = 2x

If the family does not want to s[end more than $30 an hour at health club.

\therefore 2x+3y\leq 30

Where, x and y should be greater than 0.

\therefore x\geq 0,y\geq 0

Now we make the graph of this inequality.

First we take equality of equation and then find x and y table.

2x+3y=30

x        y

 0        10

 6        6

 15      0

Here we have inequality. So, we have to take a test point (0,0)

2(0)+3(0)\leq 30\Rightarrow 0\leq 30

This statement is true. So, Graph will shade towards the test point (0,0)

Please see the attachment for graph.

3 0
3 years ago
Triangle L M N is cut by line segment O P. Line segment O P goes from side M L to side M N. The length of O L is 14, the length
lions [1.4K]

Answer:

The value of y that would make O P parallel to L N = 36

Step-by-step explanation:

This is a question on similar triangles. Find attached the diagram obtained from the given information.

Given:

The length of O L = 14

the length of O M = 28

the length of M P = y

the length of P N = 18

Length MN = MP + PN = y + 18

Length ML = MO + OL = 28+14 = 42

For OP to be parallel to LN,

MO/ML = MP/PN

MO/ML = 28/42

MP/PN= y/(y+18)

28/42 = y/(y+18)

42y = 28(y+18)

42y = 28y + 18(28)

42y-28y = 504

14y = 504

y = 504/14 = 36

The value of y that would make O P parallel to L N = 36

8 0
3 years ago
Read 2 more answers
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