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2 years ago

X^2+20x+c find the value of c that makes a perfect square trinomial

Mathematics

1 answer:

ollegr [7]2 years ago

3 0

Answer:

This means c=100. The factored form is $(x+10)^2$ .

Step-by-step explanation:

A perfect square is a trinomial that factors into the form $(x+a)^2$ . To find the value of C to finish the perfect square divide 20 by 2 and square it.

20/2 = 10

10*10=100

This means c=100. The factored form is $(x+10)^2$ .

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Which of the following describes the correct process for solving the equation 3x+6=21 and arrives at the correct solution?

My name is Ann [436]

The correct solution is C

Subtract 6 from both sides of the equation
3x + 6 - 6 = 21 - 6
3x = 15

Then divide both sides by 3

$\frac{3x}{3} = \frac{15}{3}$

x = 5

4 0

3 years ago

Does anyone knows how to do that? <br> I need to solve for x

vesna_86 [32]

Answer:

$x=17$ °

Step-by-step explanation:

Because the diagonal lines are marked with arrows, we know that they are parallel. The two angles that are marked with measures are same-side interior angles. Same-side interior angles of parallel lines are supplementary, meaning that the sum of their measures is $180$ °.

Now, with all of this information, we can set up the following equation and solve for $x$ :

$115+4x-3=180$

$112+4x=180$ (Simplify LHS by combining like terms)

$112+4x-112=180-112$ (Subtract $112$ from both sides of the equation to isolate $x$ )

$4x=68$ (Simplify)

$\frac{4x}{4}=\frac{68}{4}$ (Divide both sides of the equation by $4$ to get rid of $x$ 's coefficient)

$x=17$ ° (Simplify)

Hope this helps!

5 0

2 years ago

A grocery store charges $2.81 per pound of turkey and $3.89 per pound of cheese. What is the closest estimate for the price some

melomori [17]

Answer: $14.05 for 5 pounds of Turkey and $ 2.92 for 3/4 pounds of cheese.

so just in case you need this together it would be a total of $16.97.

i hope this helps you also i hope this is correct.

7 0

2 years ago

Read 2 more answers

One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the

UNO [17]

Answer:

$102\textdegree$

Step-by-step explanation:

If we let the measure of the smallest angle be $x$ , then we know that the measure of the angle that is three times as large as it is $3*x=3x$ and the measure of the angle that is $10\textdegree$ larger than it is $x+10$ .

Because the sum of the measures of the interior angles in a triangle is $180\textdegree$ , we can write the following equation to solve for $x$ :

$x+3x+x+10=180$

Solving for $x$ , we get:

$x+3x+x+10=180$

$5x+10=180$ (Combine like terms)

$5x=170$ (Subtract $10$ from both sides of the equation to isolate $x$ , Simplify)

$x=34\textdegree$

Therefore, the measures of the other angles are $3x = 3 * 34=102\textdegree$ and $34+10=44\textdegree$ . Since $102>44>34$ , the measure of the largest angle will be $\bf102\textdegree$ . Hope this helps!

3 0

2 years ago

5•10^5 is how many times as large as 1•10^5

Agata [3.3K]

5 times

5*10^5= 500,000
1*10^5= 100,000

7 0

2 years ago

Read 2 more answers