Which technique is most appropriate to solve this equation?

x2 + 6= 31
Question 2 options:

quadratic formula


zero product property


square root property

Answers

Answer 1

Answer:

Square root property

Step-by-step explanation:

The given equation is :

[tex]x^2+6=31[/tex]

We need to write the most appropriated technique to solve the above equation.

Subtracting both sides of the above equation by 6 such that,

[tex]x^2+6-6=31-6\\\\x^2=25[/tex]

Now taking square root on both sides we get :

[tex]x=\sqrt{25}[/tex]

The square root property is used here, such that the value of x is :

[tex]x=\pm 5[/tex]


Related Questions

Which best describes the relationship between the
125° angle and angle A?
They are same side interior angles. Angle A
measures 55°
O They are alternate interior angles. Angle A
measures 125°
O They are vertical angles. Angle A measures 125º.
They are corresponding angles. Angle A measures
55°

Answers

Answer:

A. They are same side interior angles. Angle A measures 55°.

Step-by-step explanation:

Got it right on Egd.

Option A.) is correct. They are same side interior angles. Angle A measures 55°.

What is angle?

The angle can be defined as the one line inclined over other line.

questions seem to be in incomplete, Although question could be
what would be sum of the interior angles of a quadrilateral.
The sum of the interior angle = 180
A = 180-125
A = 55°

Thus, the required  Angle A measures is 55°.

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find the volume, help please all numbers are in inches, will mark brainleist ​

Answers

Prism volume will be base area times height.  We have a right triangular base, so its area is half the product of its legs, area (1/2)(6)(8)=24.  The prism has a height 13.  Multiplying we get a volume of 24×13 = 312 cubic inches.

Answer:  312 cubic inches

Which description of the graph of the linear inequality y ≥ 7x – 4 is correct????The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.
The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line.
The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.

Answers

Answer:

It's the second description

Step-by-step explanation:

It's one of the inequality symbols for greater/less than or equal to, which means the line is solid. Then, y is greater than or equal to 7x-4 which means it will be shaded above the line.

Answer:

The correct answer is the 2nd option

Step-by-step explanation:

A dinner plate has a diameter of 12 centimeters. What is the approximate area? 37.68 cm (ik how to do it i just dont know whether to make it cm3 or cm2)

Answers

i’m thinking it’s cm2

3. A boat is travelling from Point C toward Point D, which is on the shoreline.
The shoreline is represented by the line through Point A and Point B.
Determine whether the path from C to D is perpendicular to the shoreline. A to B.
Justify your answer
A(0,7) B(8,-5) C(-3,-8) D(6,-2)

Answers

Answer:

Yes, lines CD & AB are perpendicular

Step-by-step explanation:

AB slope: y = -12/8x + 7

CD slope: y = 6/9x - 6

Once the slopes are simplified:

AB: -3/2

CD: 2/3

Hope this helps!

what's equation of the best fit for the graph ​

Answers

Answer:

y=2x+1

Step-by-step explanation:

sketch it with each line answer choice and look at which one is closest to all the points.

Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x – 2 points
4. What equation represents the area of the floor?

Answers

Answer:

(6x+5)(9x-2)

Step-by-step explanation:

Area = Length x Width

Answer:

54[tex]x^{2}[/tex] +33x - 10

Step-by-step explanation:

you have to use F.O.I.L.  First Outter Inner Last

(6x + 5)(9x - 2)

First (6x)(9x)         = 54 [tex]x^{2}[/tex]

Outter (6x)(-2)      = -12x

Inner (5)(9x)         = 45 x

Last (5)(-2)            = -10

combine middle terms

54[tex]x^{2}[/tex] +33x - 10

I need help and i need it fast!

Answers

Answer:

15.  14

16. 44

17. 11

18. -56

Step-by-step explanation:

15 . 4 * 7 = 28 divide by 2 = 14

16. 2^3 = 8 * 3 = 24 +5 * 4 = 20 ,  20 + 24 = 44

17. 5 + 4 = 9 + 2 =11

18. 6 * 2 = 12 and -34 * 2 = -68 - 12 = 56

hope this helps mark me brainlist if it did

Surface area of a cylinder in terms of pi

Answers

The answer is B, 304 pi inches^2

A cube has a volume of 8 cubic feet. What is the length of the cube?

Answers

Answer:

The side length is 2 ft

Step-by-step explanation:

A cube has a volume of

V = s^3

8 = s^3

Take the cube root of each side

8 ^ 1/3  = s^3 ^1/3

2 = s

What's the probability of rolling a prime number on a fair die

Answers

Answer:

50% chance

Step-by-step explanation:

if it's a six-sided die, the options are 2, 3, and 5. that's three numbers out of six, or half (50%)

Answer:

1/2 ; 50%

Step-by-step explanation:

Probability is number of desired outcomes/number of total outcomes.

In a fair die, there are 6 total outcomes.

Now, let's find how many desired outcomes there are.

We can do this by naming the prime numbers form 1-6.

Prime numbers are numbers that are divisible by 2 positive integers: 1 and itself.

This means that 1, 4, and 6 are not prime numbers.

The prime numbers are: 2, 3, and 5.

So there are 3 desired outcomes.

That means the probability would be 3/6

This can be simplified to 1/2, or 50%

Which of the following equations represents the line graphed below?

Answers

Answer:

y= -2x +3

Step-by-step explanation:

This is because the slope is 2 using rise over run and the y-intercept is 3 because it meets at that point, (0,3) on the number line.

Answer:

y= -2x +3

Step-by-step explanation:

How? We have to take a good look at the line graph

So we know that Y is equals to 2x +3 (first option)

Hope it kinda helped i am not very good at explaining

Which is the graph of the function f(x) = x2 + 2x + 3?
5
1+
to 4 3 2 1
2 3
4 5 x
-2
-3
3
2

Answers

Answer:

1. C

2. UNKNOWN

3. (x-4)(x-2)

4. 5, -7

5. vertex=(3,4)

   minimum value=4

6. UNKNOWN

7. 5/3

8. D

9. C

Step-by-step explanation:

Can someone help me with this please? In Belleville, the library is due south of the courthouse and due west of the community swimming pool. If the distance between the library and the courthouse is 9 miles and the distance between the courthouse and the city pool is 15 miles, how far is the library from the community pool?

Answers

Answer:

12 miles

Step-by-step explanation:

A right triangle is formed, where the distance between the library and the courthouse is one leg ( = 9 miles), the distance between the library and the swimming pool is the other leg (let's call it x), and the distance between the swimming pool and the courthouse is the hypotenuse ( = 15 miles).

From Pythagorean theorem:

15² = 9² + x²

225 - 81 = x²

x = √144

x = 12 miles

One circle has a circumference of 12cm. Another circle has a circumference of 32cm. What is the ratio of the radius of the smaller circle to the radius of the larger circle? 3:8 8:3 1:3 3:1

Answers

Answer: did u get the answer for this

Step-by-step explanation:


A square has one of its sides increased by 7 inches and the other side decreased by 4 inches. Which of the following represents the area of the square?

Answers

Answer:

Step-by-step explanation:

both the length and the width of a square is the same measurement.

so if both measured to "x" then that means one side increase +7.

so one side is x + 7

and the other side decreased -4

so the other side is x - 4

area of square = length x width or just one of the sides to the power of 2

so (x+7) * (x-4) = Area

x^2 + 3x - 21 = area

Answer:

x^2-11x+24

Step-by-step explanation:

The area of a quad is lw

So, the formula would be (x-7)(x-4)

When you multiply it, it turns to be x^2 - 11x + 24

I think thats the answer

there are no choices so the answer might be in the wrong form

Which of the following could represent the scale factor of the smaller figure to the larger figure?

4:25
6pi:15pi
8:125
20pi:125pi
16pi:250pi
2:5

Answers

Answer:

It could be 2:5 or 6pi:15pi

Step-by-step explanation:

If you write the ratio of the surface area as a fraction, you would get [tex]\frac{20\pi *yd^{2} }{125\pi *yd^{2} }[/tex]. Simplifying it would leave [tex]\frac{4}{25}[/tex]. But this is NOT the answer because that is the ratio of the surface area. You have to square root it to find the scale factor. The square root is [tex]\frac{2}{5}[/tex]. The answers would be 2:5 and 6pi:15pi.

Answer:

6π : 15π

2 : 5

Explain where to place the decimal point in the product for the expression

Answers

Answer:

Count the total number of decimal places in both of the factors. Place the decimal point in the product so that the number of decimal places in the product is the sum of the decimal places in the factors. Keep all zeros in the product when you place the decimal point

Step-by-step explanation:

billy wishes to find the equation of a circle. this time however he only knows the end of the diameter are located at (12, 17 ) and (8, -1). below is the equation he came up with. Which part of the equation is incorrect?

Answers

Answer:

Y-8

Step-by-step explanation:

|5z−8|=7
Can someone help me with this question I will mark you brainliest if you get the correct answer. THANKS!! :))

Answers

Answer:

z = [tex]\frac{1}{5}[/tex], z = 3

Step-by-step explanation:

The absolute value function always returns a positive value.

However, the expression inside can be positive or negative, that is

5z - 8 = 7 ( add 8 to both sides )

5z = 15 ( divide both sides by 5 )

z = 3

OR

- (5z - 8) = 7

- 5z + 8 = 7 ( subtract 8 from both sides )

- 5z = - 1 ( divide both sides by - 5 )

z = [tex]\frac{1}{5}[/tex]

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions

z = 3

left side = | 15 - 8 | = | 7 | = 7 = right side

z = [tex]\frac{1}{5}[/tex]

left side = | 1 - 8 | = | - 7 | = 7 = right side

Thus z = [tex]\frac{1}{5}[/tex], z = 3 are the solutions

the sum of 17 and 3 times x

Answers

Answer:

C

Step-by-step explanation:

3 times x -> 3x

The sum of 17 and 3x -> 17+3x

Answer:

C.

17+3 times x

17+3x

when the x is next to  the 3 it means multiply

Step-by-step explanation:

Each of these numbers represents the weight of a student in kilograms.
What is the median of this data set?
40, 45, 55, 42, 49, 40, 53
OA) 40 kg
OB) 42 kg
OC) 45 kg
OD) 55 kg​

Answers

Answer:

Step-by-step explanation:

First re arrange data set from smallest to biggest

40,40,42,45,49,53,55

The middle number is 45

Answer:C

Step-by-step explanation:

The scatterplot that represents the monthly values of stock ABC can be


approximated by a line with a positive slope. What type of correlation does


this represent?


O


A. Negative correlation


O


B. No correlation


O


c. Positive correlation

Answers

Answer: A. Negative correlation

Step-by-step explanation:

A P E X

The scatterplot that represents the monthly values of stock ABC can be approximated by a line with a positive slope represents positive correlation. The correct option is C.

What is correlation?

The relationship between variables is described by correlation. It can be either strong or weak, as well as positive or negative.

Correlations show that there is a relationship between two variables, but one does not always cause the other to change.

A positive correlation indicates that as one variable increases, so does the other.

In this case, the scatterplot of the monthly values of stock ABC can be approximated by a line with a positive slope, indicating that as the stock's value increases over time, so does the corresponding month. As a result, it is a positive correlation.

Thus, the correct option is C.

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A circle has a radius of 6ft. What is the area of the sector formed by a central angle measuring 300 degrees

Answers

Answer:

30π  ft^2 which is 94.25 ft^2 to the nearest hundredth.

Step-by-step explanation:

The area of the full circle is π * 6^2

= 36π  so:

the area of the 300 degrees sector = 300 * 36 π  / 360

= 30 π

Which equation is the inverse of 5y+4 = (x+3)^2 +1/2?

Answers

Answer:

Answer D

Explanation:

To simply find the answer, you need to a: solve for y ; b: Find the square root of both sides ; c: solve the equation.

Hope this helps.

Answer:

The answer for this question is D..

Step-by-step explanation:

a triangle has a base 9cm and a perpendicular height 4.7 cm. work out the area of the triangle​

Answers

Answer: 21.15

Explanation:
Half base (4.5cm)X 4.7cm = 21.15
If I helped please mark me brainliest
Formula for triangle- 1/2(BxH)

1/2(9x4.7)=21.15cm

math question screen shot ( multiple choice)

Answers

Answer: A, C, and E

Step-by-step explanation:

The answer would be C

|5−4r|=17
Can someone answer this question for me?? I will mark you brainliest if you get the correct answer!!

Answers

Answer:

R=-3 which is the same thing as 11/2

Step-by-step explanation:

Answer:

r=−3,11/2

Step-by-step explanation:

thats what I got

From the numbers 1, 2, 3, 4, 5, what is the probability of choosing an even number at random?

Answers

Answer:

2/5

Step-by-step explanation:

There are only 2 even number in the set out of 5 numbers.

The probability of selection even number at random is 2/5.

What is probability?

Probability is possibility that deals with "occurrence of random event at a time".

According to the question,

From the numbers 1,2,3,4,5

Number of sample space = 5

Number of even numbers = 2

Probability of an event = [tex]\frac{sum of favorable events}{Total number of events}[/tex]

In order to find probability of selection even number at random:

=2/5.

Hence, the probability of selection even number at random is 2/5.

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Please need help asap!!Consider the following figure.

Answers

Answer:

h = 7

Step-by-step explanation:

i think h=7 i has the same answer
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