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3 years ago

X^2+9x+20=0 What are the steps to solve by factoring?

2 answers:

6 0

First simplify the equation and next multiply the 20 with the x^2 and find a number that adds together to give you the middle

Butoxors [25]3 years ago

6 0

Answer:

x = -5 or x = -4

Step-by-step explanation:

Given equation is :

x²+9x+20 = 0

We have to solve above equation by factoring.

Step 1. Split the middle term of given equation so that the sum of two term should be 9 and their product should be 20.

Terms are 4 and 5.

Their product is 4.5 = 20 and their sum is 4+5 = 9

x²+5x+4x+20 = 0

Step 2. Making two groups and taking common ,we get

x(x+5)+4(x+5) = 0

Step 3. Taking (x+5) as common , we get

(x+5)(x+4) =0

Step 4. Applying Zero-Product Property to above equation ,we get

x+5 = 0 and x+4 = 0

Step 5. Separating x,we get

x = -5 or x = -4 Which is the answer.

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Jack and Jill live 126 km apart. They want to leave their homes at the same time,

Digiron [165]

Answer:

Both will leave their homes to meet on time at 9 am

Step-by-step explanation:

Given as, Distance between Jack and Jill = 126 km

Speed of Jack rides = 18 kilometers per hours

Speed of Jill rides = 24 kilometers per hours

Let the distance travel by Jack = x km

And the distance travel by Jill = (126 - x ) km

Time taken by Jack and Jill = T hours

Now , Distance = Speed × Time

So, x = 18 × T

And 126 - x = 24 × T

Or, 126 - x = 24 × $\frac{x}{18}$

Or, 126 - x = x × $\frac{4}{3}$

Or, 378 - 3x = 4x

Or, 378 = 7x

i.e x = $\frac{378}{7}$ = 54 km

And distance travel by Jill = 126 - 54 = 72 km

So, time taken by Jack = $\frac{x}{18}$ = $\frac{54}{18}$

Or, Time taken by Jack = 3 hours

Similarly Time take by Jill = $\frac{72}{24}$ = 3 hours

∵ Both Jack and Jill will take 3 hours to meet at 12 : 00 pm

Hence, Both will leave their homes to meet on time at 9 am Answer

7 0

3 years ago

What is the period of the function y = 2 sinx

DanielleElmas [232]

Answer:

The period is 360° ( in radians, the period is 2π)

Step-by-step explanation:

For a sine/cosine (sinusoidal) function in the form

y = ASin(Bx-C) + D, we can say

A is the amplitude

360/B is the period

C is the phase shift

D is the vertical translation

<em>The function given is y = 2Sinx</em>

To find the period, we need 360/B. Since "B" is just "1", the period is

360/1 = 360

5 0

3 years ago

Read 2 more answers

Triangle ADE is similar to triangle ABC. Which statement is TRUE concerning the slope of the line formed by the hypotenuse of

notka56 [123]

Answer:it’s b

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Please help me with this question. what is the area?

chubhunter [2.5K]

The formula for that area would be A=1/2xbxh so you would do A=1/2x3.5x3 and that equals 5.25

3 0

3 years ago

Problem Page Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

Vladimir [108]

Note: Consider we need to find the possible number of ways to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

Given:

Number of letters = 4

Number of letters selected without replacement = 2

To find:

The total possible number of ways.

Solution:

We have 4 letters A, B, C and D.

So, the number of ways to select first letter is 4.

After selecting a letter the number of remaining letters is 3.

So, the number of ways to select second letter is 3.

Now, the total number of ways to select 2 letters, without replacement, from the 4 letters A, B, C, and D is:

$4\times 3=12$

Therefore, the required number of ways is 12.

8 0

2 years ago