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3 years ago

What are the solutions to the quadratic equation x2 – 16 = 0?

Mathematics

1 answer:

Gala2k [10]3 years ago

8 0

Answer: x=8 and x=-8

Step-by-step explanation:

To find the solutions of the quadratic equation, you want to factor it and set it equal to 0.

x²-16=0

(x+8)(x-8)=0

x+8=0

x-8=0

Now that we have factored and set the factors equal to 0, we found that the solutions are x=-8 and x=8.

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There are 24 boys and 16 girls in a hall, each holding coins in their hand.The mean number of coins for the children is 11, The

Karolina [17]

Answer:

Step-by-step explanation:

The computation of the mean number of coins for the girls is shown below:

Since there are 24 boys and 16 girls so the total children is 40

So the number of coins for all children is

= 40 × 11

= 440

And, the number of coins for all boys is

= 9 × 24

= 216

Now the mean is

= (440 - 216) ÷ 16 girls

= 14

4 0

3 years ago

Alex is practicing his dives at a pool. He dies from the diving board that is 15 feet above the surface of water. His dive takes

PIT_PIT [208]

Answer:

Alex is wrong in calculating his dive distance Actual Dive distance is 30 feet.

Step-by-step explanation:

Given:

Distance from where he dive from = 15 feet

Distance he reached after dive = 15 feet

Also Given:

Alex says that the two distances are opposites,

Also Total distance of dive according to Alex = 15 +-15 =0 feet

Solution:

We know that the diving board is 15 feet above the water level, but here it is important to know that even he is above the surface of the water he is diving in the water and then he reached 15 deep in the water.

From above scenario we can say that the two distances are in the same direction.

Total Distance of dive will be = 15 +15 =30 feet.

Hence We can say that Alex is wrong in calculating his dive distance Actual Dive distance is 30 feet.

3 0

3 years ago

Select all that show a 16% increase or decrease.

Dafna1 [17]

Answer:

hi leifjewihgoeigyq398gy

Step-by-step explanation:

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4 0

3 years ago

Identify the quotient in the form a + bi. HELP ASAP PLEASE!!

Step2247 [10]

Solving the expression $\frac{4-5i}{2+3i}$ we get $-\frac{7}{13}-\frac{22i}{13}$

So, Option A is correct.

Step-by-step explanation:

We need to solve the expression: $\frac{4-5i}{2+3i}$

Multiplying and dividing by 2-3i

$=\frac{4-5i}{2+3i}*\frac{2-3i}{2-3i}\\=\frac{4-5i*2-3i}{2+3i*2-3i}\\=\frac{4(2-3i)-5i(2-3i)}{(2)^2-(3i)^2}\\=\frac{8-12i-10i+15i^2)}{4-9i^2}\\We\,\,know\,\, i^2=-1\\=\frac{8-12i-10i+15(-1)}{4-9(-1)}\\=\frac{8-15-12i-10i}{4+9}\\=\frac{-7-22i}{13}\\=-\frac{7}{13}-\frac{22i}{13}$

So, solving the expression $\frac{4-5i}{2+3i}$ we get $-\frac{7}{13}-\frac{22i}{13}$

So, Option A is correct.

Keywords: Complex numbers

Learn more about Complex numbers at:

#learnwithBrainly

8 0

3 years ago

Steve said it does not matter which term is first and which term is second in a ratio, since ratios are different than fractions

marishachu [46]

Ratio is a comparison of two values or two quantities.

Fraction is a another form of ratio.

The first term and the second term in the ratios are important.

It should not be changed.

The first quantity value is in first term and the second quantity value is in second term of the ratio.

Ratio and fractions are same.

Example:

The ratio of male to female in the school is 5 : 6.

5 represents male students and 6 represents female students.

The fraction form of the above ratio is $\frac{5}{6} .$

8 0

4 years ago