Mathematics High School

What factoring pattern can you use to solve x^2+14x+49=0

A (ax+√c)^2=0

B (√a*x+√c)^2=0

C (√a*x+c)(√a*x-c)=0

D (ax+√c)(ax-√c)=c

Answers

Answer 1

Answer:

  B  (√a*x+√c)^2=0

Step-by-step explanation:

It can be helpful to look a the expanded form of each of these factoring patterns.

  A (ax+√c)^2=0   ⇒   a^2x^2 +2a√c*x +c = 0

  B (√a*x+√c)^2=0   ⇒   ax^2 +2√(ac)*x +c = 0

  C (√a*x+c)(√a*x-c)=0   ⇒   ax^2 -c^2 = 0

  D (ax+√c)(ax-√c)=c   ⇒   a^2x^2 -c = c

If 'a' and 'c' represent the coefficients in the given equation, then choices A, C, and D can be eliminated. The expanded forms of those end up with a^2 and/or c^2 as coefficients, not 'a' and 'c'.

Choice B is the only sensible one, and fits the given equation.

  a = 1, c = 49   ⇒   √a = 1, √c = 7

  x^2 +14x +49 = (x +7)^2 = 0 . . . . . factored using Pattern B

Related Questions

pls help pls no links ​

Answers

Answer:

d

Step-by-step explanation:

when you are dividing like numbers with different exponents, subtract them

factorise: p² - 9
for brainliest
​

Answers

p^2 - 9

p^2 - 3^2

(p+3)(p-3)

Hope this helps!

Can someone one help me with this question Real quick

Answers

Answer:

5

7

..................

Answer:

y equals -2x -7

y equals 3/4 x plus 2 1/2

helppppppppppppppppppppppppppp

Answers

Answer:

-1/2

Step-by-step explanation:

It is negative because of the direction the line.

It is one half because it rises one and runs two.

I hope this helps!

Answer:

The slope is -1/2

The slope intercept is 2

The form is y = 2 - 1/2x

Solve ln 2 + ln x = 5 . Round to the nearest thousandth, if necessary. show work please

Answers

[tex]\ln 2 + \ln x = 5\\\\\implies \ln(2x) = 5\\\\\implies 2x = e^5\\\\\implies x = \dfrac{e^5}2 = 74.207[/tex]

Compare 2/5 and 8/10

Answers

Answer:

2/5 is 4/10. 8/10 is 2 time greater than 2/5.

Step-by-step explanation:

4/10= 0.8, which can be written 8/10.

Make me brainlist.

Find the area of the figure.

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

At first Divide the figure into two rectangles, I and Il

Area of figure l is ~

[tex] \sf24 \times (40 - 30)[/tex]

[tex] \sf24 \times 10[/tex]

[tex] \sf240 \: \: ft {}^{2} [/tex]

Area of figure ll is ~

[tex] \sf 18 \times 30[/tex]

[tex] \sf540 \: ft{}^{2} [/tex]

Area of whole figure = Area ( l + ll )

that is equal to ~

[tex] \sf240 + 540[/tex]

[tex] \sf780 \: \: ft{}^{2} [/tex]

find the distance between find the distance between following points: a) M(5,4) and N(2, 3)​

Answers

Answer:

sqrt(10)

Step-by-step explanation:

[tex] \sqrt[2]{ x_{2} - x_{1}) + ( y_{2} - y_{1})} [/tex]

2) Last Friday, Trevon had $17.64.
He received money from mowing
the yard. Trevon now has $32.18
How much money did he receive?

Answers

Answer:

$14.54

Step-by-step explanation:

We use the equation 32.18-17.64 to find our answer of $14.54

how much does 1/3 package weigh

Answers

Answer:

1/3 package of what

Step-by-step explanation:

Mitch is attending a 4-year college. As a freshman, he was approved for a 10-year, federal
unsubsidized student loan in the amount of $8,100 at an APR of 4.29%. Mitch decides to
make no payments during the 4.5-year deferment period. After interest is capitalized at the
end of the 4.5-year period, what will his new principal amount be?

Answers

Answer:

Interest capitalization occurs when unpaid interest is added to the principal amount of your student loan. When the interest on your federal student loan is not paid as it accrues (during periods when you are responsible for paying the interest), your lender may capitalize the unpaid interest.

Step-by-step explanation:

Which of the following values are in the range of the function graphed below?
Check all that
apply.

Answers

Answer:

(-2,1)(-1,1)(0,1)(1,1) or y=2 x=[-2,1]

Step-by-step explanation:

Brainliest Please

Need help this please!

Answers

Answer:

My earlier answer was deleted, so I'm reposting.  The only thing I can think happened is that I included a link to a free bar chart program, which I used for the attached chart.

Step-by-step explanation:

Make your own chart or find an online bar chart utility.  I was unable to properly label the title and axes on my chart, so modify these properties.

PLZZ HELP
What is the common difference of the arithmetic sequence? 7, 2, -3, -8, -13,...​

Answers

Answer:

Subtract 5 from the number before.

Step-by-step explanation:

7-5=2, 2-5=-3, -3-5=-8, -8-5=-13

Quadrilateral Properties
Match the properties to the shape. Properties may be used more than once and shapes may have more than one property.
MANY POINTS FOR HELPING PLEASE!!!

Answers

1. At the very top is 2 pairs of equal adjacent sides. In top left corner
I hope I helped somewhat!!

Plzzzzz helpmeeeee plzzzzzz

Answers

C is your answer in figures. one million and one hundred and ten thousand dollars

What is the common ratio for the geometric sequence?
18,12,8, ...
16/3
Enter your answer in the box.

Answers

Answer:

Answer below

Step-by-step explanation:

basically, what should we multiply each term by to get next term

18 times what=12

what=12/18=2/3

12 times what=8

what=8/12=2/3

common ratio is 2/3

_____________________________________________________

(hope this helps can I pls have brainlist (crown)☺️)

A?
B?
C?
D?

Number 10 on conexus <3
If correct I’ll give brainlest

Answers

D lol exactly yiu yeah arte yr

Question
Write an equation of the line passing through the point A(8, 2) that is perpendicular to the line y = 4x−7.

Answers

Answer:

y = m x + b equation of a straight line

m m' = -1    condition for perpendicular lines

If y = 4 x - 7     then m = 4 so m' = -.25

Y = -.25 X + A      we need to find A

A = Y + .25 * 8 = 2 + 2 = 4

Y = -.25 X + 4

Check:

2 = -.25 * 8 + 4 = -2 + 4 = 2

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

28/5= 5 3/5
41/6= 6 5/6
42/9=4 2/3
31/3=10 1/3
70/6=11 2/3
sorry if i’m late I don’t know how to write explanations

Please answer this ASAP
Solve for x.
5x−3=13−3x

A: x=-2
B: x= -5
C: x=2
D: x=5

Answers

Answer:

c: x=2

Step-by-step explanation:

5x-3= 13-3x

   +3      +3

5x=16-3x

+3      +3

8x=16

divide all of it by 8 and thats how you get your answer

rewrite expression as a single power. 5^3/5^6

Answers

Answer:

1/125

Step-by-step explanation:

Simply subtract the exponents

in this case 6 - 3 so then its now 5 / 5^3

now just make the numerator a 1

1 / 5^3

5x5x5 = 125

1/125

Answer:

0.008

Step-by-step explanation:

i did 5 to the 3rd power which is 125

Then i did 5 to the 6 power and got 15625

finally I divided the answers and got  0.008   or in 125

PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:dunno

Step-by-step explanation:

It’s c I think…………….. had to make this 20 characters

On a coordinate plane, 2 right triangles are shown. The first triangle has points A (negative 1, 3), B (negative 1, 1), C (3, 1). The second triangle has points A prime (2, negative 2), B prime (2, negative 4), C prime (6, negative 4).

Answers

the second and last answer choice

1 point 36. The length of a rectangle shape is 7.5 cm and the with is 3 cm. What is the area of the shape? OA A). 22.5 cm B). 23 cm O C). 22.5 cm D). 23 cm​

Answers

Answer:

A). and C). 22.5 cm

Hope it helps:)

How to slove this equation in simple form -9(8v-2v)+10b - (100v+6)

Answers

Answer:

- 154v + 10b - 6

Step-by-step explanation:

-54v + 10b - 100v - 6

-154v + 10b - 6

Mean of 72, 75, 78, 72, 73

Answers

to find the mean you add all the numbers together

72 + 75 + 78 + 72 + 73 = 370

then you divide by the number of numbers there are

370/5= 74

74

72+75+78+72+73 = 370

370/5 = 74

Make
q the subject of p=6q +7

Answers

To make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.

How to write an equation in the subject of a variable?

To write an equation in the subject of a specified variable, isolate this variable at one side of the equation using the mathematical operations.

The expression given in the problem is,

[tex]p=6q +7[/tex]

This equation need to be written as the subject of q. Subtract 7 both side of the equation to do this,

[tex]p+7=6q +7-7\\p+7=6q[/tex]

Divide both side of equation with number 6.

[tex]\dfrac{p+7}{6}=q[/tex]

Rewrite the equation as,

[tex]q=\dfrac{p+7}{6}[/tex]

Thus, to make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.

Learn more about the unknown variable here;

https://brainly.com/question/1235185

#SPJ1

How many solutions exist for the system of equations in the graph?

Answers

Which graph??????????????????

Write an equation in slope-intercept form of the line that passes through the given point
and the given slope.
(-2,-4); m = -3
O y=-3x - 6
O y=-3x - 10
O y=-3x + 10
O y=-3x + 2

Answers

Answer:

it's y=-3x-10

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