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2 years ago

How do you find the quadratic equation for the roots 3 and 17?

1 answer:

6 0

The roots are 3 and 17 so the distributed equation is

(x-3)(x-17)

distribute

x²-3x-17x+51

x²-20x+51

I hope I've helped!

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Help if correct will give you brainliest

Scilla [17]

Answer:

a makes sense to me

Step-by-step explanation:

8 0

2 years ago

Use the diagram of the right triangle above and round your answer to the nearest hundredth.

Svetlanka [38]

Option a: $17.32 \ {m}$ is the length of b

Explanation:

The angle of B is $\angle B=60^{\circ}$ and $a=10 \ m$

We need to determine the length of b.

First, let us determine the angle of A.

Since, ABC is a triangle, then all the angles add up to 180°

Thus, we have,

$\angle A+\angle B+\angle C=180^{\circ}$

$\angle A+60^{\circ}+90^{\circ}=180^{\circ}$

$\angle A+150^{\circ}=180^{\circ}$

$\angle A=30^{\circ}$

Thus, the angle of A is $\angle A=30^{\circ}$

Now, we shall determine the length of b using the sine law formula.

The formula for sine law is given by,

$\frac{a}{\sin A}=\frac{b}{\sin B}$

where $a=10 \ m$ , $\angle A=30^{\circ}$ , $\angle B=60^{\circ}$

Thus, we have,

$\frac{10}{\sin 30}=\frac{b}{\sin 60}$

Simplifying, we get,

$\frac{10}{0.5}=\frac{b}{0.866}$

Multiplying both sides by 0.866, we get,

$\frac{10\times0.866}{0.5}=b$

Multiplying the numerator, we have,

$\frac{8.66}{0.5}=b$

Dividing, we get,

$17.32=b$

Thus, the length of b is $b=17.32 \ m$

Hence, Option a is the correct answer.

7 0

2 years ago

How many solutions dose the equation 5x + 3x -4 =10 A.0 B.1 C.2 D. Indefinitely many

Gnesinka [82]

Answer:

The answer is 14/8

Step-by-step explanation:

3 0

3 years ago

Sam says 90 ÷ (–9) = 10. Is he correct? Use the drop–down menus to explain your answer.

SashulF [63]

Answer:

No.

Step-by-step explanation:

Sam is incorrect because if you look at the original problem, you'll see that he has missed the negative sign!

90 / 9 does equal 10, but 90 / -9 equals -10.

The only way to get a positive answer is if both the divisor and dividend are positive or if they are both negative.

Thus, the correct answer should be -10.

3 0

3 years ago

Last year the backgammon club had 30 members. This year the club had 24 members. Find the percent of decrease in the number of m

Gnom [1K]

There is 20% decrease in the number of members.

Step-by-step explanation:

Given,

Members last year = Old value = 30

Members this year = New year = 24

Change = New value - Old value

Change = 24 - 30

Change = -6

The negative sign indicates the decrease.

Decrease percent = $\frac{Change}{Old\ value}*100$

Decrease percent = $\frac{6}{30}*100$

Decrease percent = $\frac{600}{30}$

Decrease percent = 20%

There is 20% decrease in the number of members.

Keywords: percentage, division

Learn more about division at:

#LearnwithBrainly

8 0

2 years ago