Factor and solve each quadratic equation.

Show your work

x2 + 5x + 6 = 0

A flowchart proof is a visual representation of logical steps used to prove a mathematical statement or theorem.

It involves breaking down the proof into a series of connected statements and reasons, organized in a flowchart format.

Each statement is supported by a reason or justification, demonstrating the logical progression of the proof. Flowchart proofs provide a clear and structured way to present mathematical arguments, allowing for easy comprehension and verification of the proof's validity.

They help in identifying key steps, dependencies, and the overall structure of the proof, making it easier to follow and understand the reasoning behind mathematical statements.

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Answer:

[tex]\huge \boxed{\sf \bf x^2+10x+24}[/tex]

Step-by-step explanation:

Hello,

This is the same logic as your other question

-6 and -4 are roots and the leading coefficient is 1 so the quadratic equation is

[tex](x+4)(x+6)=x^2+10x+24[/tex]

Thanks

Answer:

f=1

Step-by-step explanation:

You're welcome :)

Answer:

I think 40 miles because 5034 divided by 125 is 40.272

Answer:

The 3rd One

Step-by-step explanation:

All real numbers greater than or equal to -6 and less than 8

Hope this helps ;)

Answer:

the answer is 31.29

Step-by-step explanation:

Answer:

31.9 dollars

Step-by-step explanation:

15% of 208.60

= 15/100 x 208.60

= 3190/100

= 31.9

Answer:

4:1 40:100 I'm not 100% sure but yea

Answer:

36 degrees

Step-by-step explanation:

The total of the angles is only 90, so to get the answer all you would have to do is 90 - 54 to get 36

Answer:-1 as said in the bottom of the equation

Step-by-step explanation: it is at the bottom of the equation if wrong sorry.

Answer:

[tex]0.9\bar{2}[/tex]

Step-by-step explanation:

since the bar or line over the number means that it is repeated. This is also equivilent to the rational fraction 83/90

Answer:

this

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

[tex]5 \div 50 = 0.1[/tex]

[tex]0.1 \times 100 = 10[/tex]%

Answer:

First, two lines are perpendicular if one has slope m, and the other has slope -1/m (Not 1m as Alan says)

That is the first error of Alan.

Now, there is another error.

If m = 0, then -1/m tends to minus infinity (in this case we would have a vertical line).

But we can not really divide by zero, so we should state that:

m can not be zero, if a line is horizontal, the perpendicular line must be vertical.

Answer:

3 test tubes

Step-by-step explanation:

First one took 2 so 8-2=6 so 6 left for the other 2 tests then 6 divided by 2 is 3

Answer:

7 rings = $2.52

then 1 ring will cost = 1/7×2.52

= 0.36

Therefore 1 ring will cost $0.36.

Answer:

John got 13 questions right and 2 questions wrong.

Step-by-step explanation:

15 questions right equals 100%.

100 {divided by} 15 = % for each question right

Each question is worth (100 diveded by 15) 6.7%.

84% {diveded by} 6.7% = 12.5

100% - 84% = 16%

16% {divided by} 6.7% = 2.38

Because 12.5 has a higher dicimle value than 2.38 and when the amount he got right is added to the amount he got wrong it needs to equal 15, 12.5 becomes 13 and 2.38 becomes 2.

Answer:

[tex]\frac{n}{15} =\frac{84}{100}[/tex]

[tex]n = \frac{21}{25}*5[/tex]

[tex]n = \frac{21*15}{25}[/tex]

[tex]n = \frac{315}{25}[/tex]

[tex]n = \frac{63}{5} or 12.6[/tex]

Answer:

3.9-21=-17.1

Step-by-step explanation:

3.9-21

3.9+-21

=-17.1

Answer:

2.14 pounds of flour per dollar

Step-by-step explanation:

This is a simple ratio. All you need to do is divide the amount he paid from the pounds to get how many he got for every dollar.

Answer:

B

Step-by-step explanation:

Negative and positive rule

Answer:

40%

Step-by-step explanation:

32/80=0.4

80×0.4=32

Answer:

40%

Step-by-step explanation:

32÷80= .4

80x0.4=32

Answer:

x=y/6 - 11/6        

y=-7/3  +2x/3

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

Answer:

D. 48

Step-by-step explanation:

y=10x-2 is our equation

If x is 5, then multiply 10 by 5. You get 50.

Subtract 2 from that. You get 48.

Answer:

D, 48

Step-by-step explanation:

Given x=5, plug x into y=10x-2

First you should plug the given x into the x in the equation. And put () around it.

y=10(5)-2

Now you multiply 10 by 5 and you get 50.

y=50-2

Now the last step is to subtract 2 from 50 which you will end up getting y=48. So the answer is y=48 which is letter D.

y=48

Answer:

b=12 degrees and a = 168 degrees

Step-by-step explanation:

Answer:

lin

Step-by-step explanation:

b = 92 degrees (choice B)

c = 92 degrees (choice D)

d = 92 degrees (choice F)

================================================

Explanation:

Angles a and b are supplementary because they form a straight angle when combined. The two angles add to 180

a+b = 180

88+b = 180 ... plug in a = 88

b = 180-88 ... subtract 88 from both sides

b = 92

------------

Angles b and c are congruent because they are alternate interior angles. Alternate interior angles are congruent when dealing with parallel lines.

Since the diagonal entrance ramps are parallel, this means the corresponding angles c and d are congruent.

Since b = 92, this means c = 92 and d = 92 also.

Answer:

40%

Step-by-step explanation:

Firstly

Area of triangle when base is 10 inches and height is 8 inches

= 1/2*b*h

= 1/2*10*8

=40square inch

Again when base =4 inches

= 1/2*4*8

= 16square inches

percent of the area of the triangle is within 4 inches of the base

= 16/40*100%

= 40%

A triangle has an 8-inch height and a 10-inch base. The percent of the area of the triangle is within 4 inches of the base exists 40%.

Area of triangle = 1/2 (b h), where b is the base and h is the height, is the fundamental formula for calculating a triangle's area.

The type of the triangle and the known dimensions can affect other formulas that are used to calculate the area of a triangle.

Given: A triangle has an 8-inch height and a 10-inch base.

Let the equation be

Area of a triangle = (1/2) bh

substitute the values in the above equation, we get

= (1/2) × 8 × 10

= 40 square inches.

Once more with a 4 inch base

= 1/2 × 4 × 8

= 16 square inches.

Within 4 inches of the base, % of the triangle's surface area

= 16/40 × 100%

= 40%

Therefore, the percent of the area of the triangle is within 4 inches of the base exists 40%.

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