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RoseWind [281]
3 years ago
12

What should be the b-value in the equation shown below if the equation is a perfect square trinomial?

Mathematics
1 answer:
masha68 [24]3 years ago
4 0

Answer:

B=10

Step-by-step explanation:

It's a perfect square of equation ax²+2abx+b²

I'm the given equation a is 1 and b is 5 so 2(a)(b)=2(1)(5)=10

(ps: when I say b in the explanation I mean another b not the one in question as to not be confused)

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a triceatops has to children. one is 3 times older than the other. Together, their age is 50 months how old are they?
Charra [1.4K]
To solve this problem, create two equations with x and y. The pieces of information that we know are that the first child is 3 times older than the second child. Therefore if we assign child #1 the variable of x and child #2 the variable of y, we could get the following equation: 

3x = y 

Now, we also know that together their ages equal 50 months. Therefore:

x + y = 50 (months) 

So, using these two equations you can use either substitution or elimination to find the values of x and y. You would first need to rearrange the first equation to 3x - y = 0 (just moving the y to the other side). 

Then, you could add the equations together as followed: 

3x - y = 0 
x  + y = 50 
___________
4x = 50 
x   = 12.5

And then fill that value in to one of the equations to find y.

3x = y 
3(12.5) = y 
y = 37.5

So, one child is 12.5 months old and the other is 37.5 months old!
5 0
3 years ago
Find (2.2 x 107)(5 x 108) (2.5 x 103)(8.8 x 105) expressed in scientific notation.
jarptica [38.1K]

Answer:

Scientific notation of the multiplication is 2.42\times 10^{25}

Step-by-step explanation:

(2.2\times 10^{7})(5\times 10^{8})(2.5\times 10^{3})(8.8\times 10^{5} )

= (2.2\times 5\times 2.5\times 8.8)10^{(7+8+3+5)}

[Since 10^{a}\times 10^{b}=10^{(a+b)}]

= 242\times 10^{23}

= 2.42\times 10^{25}

Therefore, the scientific notation of the multiplication is 2.42\times 10^{25}

5 0
3 years ago
Read 2 more answers
The rate of change is: <br> -4<br> -1<br> 1<br> 4
Korvikt [17]

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of a straight line we only need two points off of it, hmmm let's use from the table (-1 , 13) and (2 , 1)

(\stackrel{x_1}{-1}~,~\stackrel{y_1}{13})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{13}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}}\implies \cfrac{-12}{2+1}\implies \cfrac{-12}{3}\implies -4

6 0
3 years ago
Find the value of y A.y= 2 B.y= 4 square root 3 /3 C.y=4 D.y= 4 square root 3
jolli1 [7]

Answer:

The correct answer is option B.  4√3/3

Step-by-step explanation:

<u>Points to remember</u>

If a right angled triangle with with angles 30°, 60° and 90° then the sides are in the ratio 1 :√3 : 2

<u>To find the value of y</u>

From the figure we can see two right angled triangle.

From the figure we get height 'h' of large triangle is written by,

h : base : 8 = 1 : √3 : 2

Therefore h = 8/2 = 4

Also we can write,

y : h : hypotenuse of small triangle = 1 : √3 : 2

y : 4 : hypotenuse = 1 : √3 : 2

Therefore y = 4/√3 = 4√3/3

The correct answer is option B.  4√3/3

6 0
3 years ago
What is the Mean Absolute Deviation:
Neko [114]

128.309728

add all numbers together and divide by 50(there are 50 numbers)

find the difference of each number and 67.92(the mean)

add all these numbers together and divide by 50

3 0
3 years ago
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