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3 years ago

Solve the quadratic equation for x. What is the product when the roots are multiplied? (x + 2)2 = 1

Mathematics

2 answers:

tekilochka [14]3 years ago

4 0

Regroup terms

2(x + 2) = 1

Divided both sides by 2

x + 2 = 1/2

Subtract 2 from both sides

x = 1/2 - 2

Simplify 1/2 - 2 to -3/2

x = -3/2

sveticcg [70]3 years ago

4 0

Answer:

x = -2 or 0; Product of roots = 0.

Step-by-step explanation:

Product of roots:

(x + 1)² = 1

x² + 2x + 1 = 1

x² +2x = 0

The standard form of a quadratic is a² + bx + c = 0.

In your equation, a = 1; b = 2; c = 0

Even without solving the equation, we know that the product of the roots is zero, because

Product of roots = c/a =0/1 = 0

Solution:

Factor the quadratic x(x +2) = 0

Use zero product property x = 0 x + 2 = 0

x = -2

The roots are x = 0 and x = -2.

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The two figures are congruent find the measure of the requested side or angle

antiseptic1488 [7]

You have not provided the figures, therefore, I cannot provide an exact answer.
However, I can helps you with the steps.

One important thing to note is that when writing statements of congruency, the order of writing the letters is very important. This is because each side/angle in the first figure would be congruent to the corresponding side/angle in the second.

Therefore, all you have to do in the above question is write the congruent figures and determine the corresponding congruent sides/angles

Example:
If we are given that triangle ABC is congruent to triangle DEF
This means that:
AB = DE
BC = EF
AC = DF
angle A = angle D
angle B = angle E
angle C = angle F

Hope this helps :)

4 0

3 years ago

A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?

seraphim [82]

Answer:

$P\left(E\right)=\frac{55}{1024}$

Step-by-step explanation:

Given that a fair coin is flipped twelve times.

It means the number of possible sequences of heads and tails would be:

2¹² = 4096

We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

$nCr=\frac{n!}{r!\left(n-r\right)!}$

Plug in n = 12 and r = 9

$=\frac{12!}{9!\left(12-9\right)!}$

$=\frac{12!}{9!\cdot \:3!}$

$=\frac{12\cdot \:11\cdot \:10}{3!}$ ∵ $\frac{12!}{9!}=12\cdot \:11\cdot \:10$

$=\frac{1320}{6}$ ∵ $3!\:=\:3\times 2\times 1=6$

$=220$

Thus, the probability will be:

$P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}$

$=\frac{220}{4096}$

$=\frac{55}{1024}$

Thus, the probability of the coin landing tails up exactly nine times will be:

$P\left(E\right)=\frac{55}{1024}$

4 0

2 years ago

Ameeta finished 12 math problems. David finished 3 times as many. How many more math problems did David finish than Ameeta?

Volgvan

Answer:
david finished 24 problems more than ameetha
Step-by-step explanation:
problems finished by ameetha = 12 problems
problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36
problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36the problems finished by David more than ameetha =
problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36the problems finished by David more than ameetha =36-12= 24
problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36the problems finished by David more than ameetha =36-12= 24 so David finished 24 problems more than ameetha

8 0

3 years ago

A water wheel has a radius measuring between 13 feet and 24 feet. The wheel is able to turn 7π9 radians from its starting positi

madam [21]

Answer:

31.76 ft and 58.64 ft

Step-by-step explanation:

The radius measures between 13 feet and 24 feet.

The wheel is able to turn 7π/9 radians before getting stuck.

We need to find the range of distances that the wheel could spin before getting stuck. That is, the length of arc.

Length of an arc is given as:

$L = \frac{\theta}{2\pi} * 2\pi r$

where θ = central angle = 7π/9 radians

r = radius of the circle

Therefore, for 13 feet:

$L = \frac{7\pi}{18 \pi} * 2 * \pi * 13\\\\L = 31.76 ft$

For 24 feet:

$L = \frac{7\pi}{18 \pi} * 2 * \pi * 24\\\\L = 58.64 ft$

The wheel could spin between 31.76 ft and 58.64 ft before getting stuck.

4 0

3 years ago

you have 120 pieces of fabric to make a blanket. each piece of fabric is a square with a side length of 6 inches. you use as man

guapka [62]

To make a square blanket, you need to calculate the squareroot of 120, which is 10,954... so the biggest number is 10x10 peaces of fabric you can use to create a square blanket. These are 100 (so 20 are left over). To create a bigger square blanket of 11×11 peaces (11^2 = 121) you need one more peace of fabric. One peace is six inches, the blanket is 10 peaces long (6×10=60) The size would be 60inchesx60inches= 3.600 inches.

4 0

2 years ago