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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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How do you write 23.80 as a fraction

Scorpion4ik [409]

The correct answer is $\frac{238}{10}$

3 0

3 years ago

Read 2 more answers

Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93

Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

$M = \frac{a + b}{2}$

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 2.93 and 3.1 volts

This means that $a = 2.93, b = 3.1$ . So

Mean:

$M = \frac{2.93 + 3.1}{2} = 3.015$

Standard deviation:

$S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049$

What is the probability that a battery has a voltage less than 2.98?

$P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941$

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

6 0

2 years ago

Hank merrill takes scrap aluminum to the recycling center during summer vacation. the recycling center pays $0.14 per pound. how

Len [333]

$3.78

because he is paid $0.14 per pound, if he brings 27 pounds it is

=0.14 x 27
=3.78

3 0

3 years ago

Read 2 more answers

Please help me asap<br>

Lera25 [3.4K]

Answer:

Step-by-step explanation:

From the picture attached,

∠4 = 45°, ∠5 = 135° and ∠10 = ∠11

Part A

∠1 = ∠4 = 45° [Vertically opposite angles]

∠1 + ∠3 = 180° [Linear pair of angles]

∠3 = 180° - ∠1

= 180° - 45°

= 135°

∠2 = ∠3 = 135° [Vertically opposite angles]

∠8 = ∠5 = 135° [Vertically opposite angles]

∠5 + ∠6 = 180° [Linear pair of angles]

∠6 = 180° - 135°

∠6 = 45°

∠7 = ∠6 = 45° [Vertically opposite angles]

By triangle sum theorem,

m∠4 + m∠7 + m∠10 = 180°

45° + 45° + m∠10 = 180°

m∠10 = 180° - 90°

m∠10 = 90°

m∠10 = m∠12 = 90° [Vertically opposite angles]

m∠10 = m∠11 = 90° [Given]

Part B

1). ∠1 ≅ ∠4 [Vertically opposite angles]

2). ∠7 + ∠5 = 180° [Linear pair]

3). ∠9 + ∠10 = 180° [Linear pair]

7 0

3 years ago

In your own words,define a system of equations

lesya692 [45]

First you solve for X then substitute the number you got for X and then solve for Y.

8 0

2 years ago