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harkovskaia [24]
3 years ago
8

What is the missing constant term in the perfect square that starts with x 2 +14x

Mathematics
1 answer:
77julia77 [94]3 years ago
8 0

Okay, let me explain.

Basically, you need to complete the square.

So you have, x^{2}+14x+__________ to equal a perfect square.


Your middle term is 14. So, what you need to do is divide fourteen by 2 which equals 7. What does 7*7 or 7 squared equal? It equals 49.


The missing constant term is 49.


I hope this helped; feel free to ask any follow-up questions.

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Solve the equation and write a text explaining every step of your solution. 4 - 3x = 14 - 5x
Svetradugi [14.3K]

Answer: 14 - 5 x 5 = -11, and 4 - 3 x 5 = -11.

Step-by-step explanation:

what i did here was just plug in some numbers until the equations reached the same solution. there are probably better ways to do this but i hope this helps anyway.

8 0
2 years ago
PLZ HELP!<br> find the value of f(-2) for the function f(x)=4x+10<br> Show work please
natita [175]

Answer:

f(-2) = +2

Step-by-step explanation:

Let x = -2

So,

f(x) = 4x + 10

Substituting the value of x gives ,

f(-2) = 4 × (-2) + 10 = 10 - 8 = 2

8 0
3 years ago
A gallon of water is equal to 231 cubic inches. How many gallons of water are needed to fill a fish tank that measures 11" high,
9966 [12]
We know that

[volume of a fish tank]=11*14*9-------> 1386 in³

if  1 gallon--------------> 231 in³
X------------------------> 1386 in³
X=1386/231-------> X=6 gallon

the answer is
<span>are needed 6 gallons of water to fill a fish tank</span>
3 0
3 years ago
A number, X, rounded to 1 decimal place is 3,7<br> Write down the error interval for x,
sp2606 [1]

Answer:

The error interval for x is:

                 [3.65,3.74]

Step-by-step explanation:

The number after rounding off is obtained as:

                         3.7

We know that any of the number below on rounding off the number to the first decimal place will result in 3.7:

  3.65     3.66    3.67    3.68    3.69    3.70    3.71   3.72    3.73    3.74

( Because if we have to round off a number present in decimals to n place then if  there is a  number greater than or equal to 5 at n+1 place then it will result to the one higher digit  at nth place on rounding off and won't change the digit if it less than 5 )

        Hence, the error interval is:

            [3.65,3.74]

6 0
2 years ago
FG ∥ CB, A ∈ FG, D ∈ AB, E ∈ AC
andrey2020 [161]

Answer:

The value of x is 31^{\circ}.

Step-by-step explanation:

Please look at the figure attached to get more clear solution.

We have given:

FG||CB

And the line that cut the parallel line is transversal so, here BA is transversal

And alternate interior angles on transverse line are equal

So, ∠1=∠4

And ∠4=28^{\circ}

Hence,  ∠1=∠4=28^{\circ}

And On FG the sum of angles will be 180^{\circ}

∠3+∠2+∠1=180^{\circ}

90^{\circ}+∠2+28^{\circ}=180^{\circ}

Hence, ∠2=62^{\circ}

Now, we know that the sum of interior angles is equal to the exterior angle:

Therefore, ∠2+∠5=∠6+∠7

62^{\circ}+3x=x+4x

On simplification we get:

2x=62^{\circ}

x=31^{\circ}

Hence, the value of x is 31^{\circ}.

3 0
3 years ago
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