Find three consecutive even integers such that the product of the second and
third integers is equal to 35.

Answers

Answer 1

Step-by-step explanation:

first number=x

second number=x+2

third number=x+4

(x+2)(x+4)=35

x(x+4)+2(x+4)=35

x²+4x+2x+8=35

x²+6x+8=35

x²+6x=35-8

x²+6x=33

x²+6x-33=0

using that, you can find the first number,

then use the data to find the other two.


Related Questions

Write the expression using an exponent.

1·7·7·7·7·7

Answers

Answer:

7⁵

Step-by-step explanation:

An exponent indicates how many times a number multplies itself.

Examples:

2² = 2* 2

2⁴ = 2 * 2 * 2 * 2

STATEMENT OF THALES THEORM NEED URGENTLY

HAVE A NICE DAY GOOD MORNING ​

Answers

Answer:

The Thales theorem states that: If three points A, B, and C lie on the circumference of a circle, whereby the line AC is the diameter of the circle, then the angle ∠ABC is a right angle (90°).

A new car is purchased for 23700 dollars. The value of the car depreciates at
13% per year. To the nearest year, how long will it be until the value of the car
is 8000 dollars?

Answers

Answer:

5 years (about)

Step-by-step explanation:

$23,700 X .13 = $3,081

$3,081 X 5 = $15,405

$23,700 - $15,405 = $8,295

Good luck! hope this helps.

(If you've noticed a mistake in my logic, please comment any corrections)

The answer is 5 years good luck

MATH HELP PLEASE HELP

Answers

Answer:

75 cm

Step-by-step explanation:

150÷2 = 75

Good luck with your exam :)

Answer:

75

Step-by-step explanation:

Essentially this question for the radius as it ask for the distance from the middle of the pit to the outside of the pit.

We are given the diameter (150) which is a straight line through the middle from one end to the other

To find the radius given the diameter you simply divide by 2

So answer = 150/2 = 75

A circle has a radius of 10 cm and a sector of the circle
has an arc length of 10.8 cm.
The angle at the centre of the sector is x.
Calculate the value of x to the nearest degree.

10.8 cm
10 cm

Answers

10 times 2 is 20
20 times pi is 62.8
62.8 divided by 10.8 =5.8
360 divided by 5.8 = 62 degree
I hope this will help

Which expression results in the smallest difference?
A.
B.
C.
12.5 - 3.1
12.5 -0.31
12.5 -0.031
D.
12.5 -0.0031​

Answers

The answer is C 12.5 -0.031

HELPPP PLEASEEEEEEE!!

Answers

Answer:

We would use the explicit formula since the explicit formula is used for finding the nth term in a sequence. The reason why it's not the recursive is because the recursive formula helps you find the next terms using a formula of the preceding term or term before the next term.

EVALUATE 5/9 -1/4.............

Answers

Answer:

11/36

Step-by-step explanation:

Answer:

0.30555555555

Step-by-step explanation:

reverse percentage problem

Answers

answer: you're missing the problem

Solve
4(-5)(-2)(-3)
show your work<3
no links

Answers

Answer:

-120

Step-by-step explanation:

4(-5)(-2)(-3)

= -20 × 6

= -120 (Ans)

Answer:

-120

Step-by-step explanation:

lots of approaches here

suggest saying that there are 3 (odd) number of negative signs

so the answer is negative (-)

5*4 = 20

20*2 = 40

40*3 = 120

we determined that the answer has to be negative

-120

please find Area of triangle

Answers

Answer:

60

Step-by-step explanation:

Side A would end up being 15 and then to find the area you would use your formula 1/2 × base × height.

The groundskeeper filled the first sandbox with sand to a height of 6 inches. What is the volume,
in cubic feet, of the sand that was used to fill the first sandbox to a height of 6 inches? Show or explain
how you got your answer
Enter your answer and your work or explanation in the space provided

Answers

Answer:

you didnt provide the other 2 measurements, its length x width x height for volume

please help with number 53!!!!
pretty please

Answers

Answer:

The sequence would be arithmetic. This is because an arithmetic sequence has a common number multiplying, adding, subtracting etc. The common rule for this set of numbers was x5. 9x5=45, 45x5=225 etc. We simply used this method with negative numbers, but the rule was still multiplying.

Happy learning!

--Applepi101 :)

Answer:

Arithmetic

Step-by-step explanation:

It has a constant difference between each number whilst Geometric usually has the same difference between each number

helppppp meeee, I need all three, I need an explanation tooo

Answers

Answer:

Step-by-step explanation:

for the first one: d

Which relationship has a zero slope?

Answers

I think it would be the second graph, Let me know if i’m right!

a²+b²=c²

5²+9²=c²

25²+81²=c²

106=c²10.2

5

How do you do this ?

Answers

Answer:

the answer is- g= 72/d minus f/d

Answer: g=72/d - f/d

estimate the measure of

Answers

Answer:

Step-by-step explanation:

That appears to be approximately 45 degrees, so to the nearest 10, I would put that at about a 50 degree angle.

By what percent will a fraction change if its numerator is decreased by 60% and its denominator is decreased by 20%? THANK YOU SO MUCH TO WHOEVER ANSWERS IT I HAVE VERY LITTLE TIME!

Answers

Answer:

decreased by 50%

Step-by-step explanation:

[tex]\frac{x}{y}[/tex]

100% - 60% = 40% = 0.4

100% - 20% = 80% = 0.8

[tex]\frac{0.4x}{0.8y}[/tex] = [tex]\frac{x}{2y}[/tex] = 0.5 × [tex]\frac{x}{y}[/tex] ⇒ the original fraction is decreased by 50%

Which of the following ordered pairs is not in the solution set of y < 2x − 5? Question 27 options: (4, 3) (5, 0) (0, −7) (6, 4)

Answers

Answer:

[tex](4,3)[/tex]

Step-by-step explanation:

If the solution would've been written has y ≤ 2x - 5, [tex](4,3)[/tex] would've been a solution

A garden that is 14 feet by 17 feet will have a pedestrian pathway on the border, making the combined area of the garden and the border 311 square feet what is the width of the pathway

Answers

Answer:

The width of the pathway is 5.2 feet

Step-by-step explanation:

Given that the shape of the garden and the walkway is a rectangle, the walkway would have the same length as the garden but would have it's own width.

Let the width of the garden be W and that of the walkway be t while the length of both the garden and walkway is L. The combined area A

= L( W + t)

Given that the combined area of the garden and the border 311 square feet while the garden is  14 feet by 17 feet

311 = 14 (17 + t)

311 = 238 + 14t

collect like terms

14t = 311 - 238

14t = 73

t = 73/14

= 5.2 feet

Name a pair of adjacent angles and a pair of vertical angles in the figure

Answers

Answer:

Adjacent: <ABC and <CBD

Vertical: <ABC and <EBD

Step-by-step explanation:

Adjacent angles: Angles that share one ray.

Vertical Angles: Opposite angles created by the intersection of two lines.

Hope this helps!!

The rectangle below has an area of x2 - 16 square meters and a width of x + 4 meters.
What expression represents the length of the rectangle?
x +4
Length
x2 - 16
Length
meters

Answers

Answer:

Length = x - 4 meters

Step-by-step explanation:

Area of a rectangle = length × width

Area of a rectangle = x² - 16

width of the rectangle = x + 4 meters.

Length of the rectangle = ?

Recall:

Difference of two perfect square x² - 16 = (x + 4)(x - 4)

Area of a rectangle = length × width

(x + 4)(x - 4) = length * x + 4

Length = (x + 4)(x - 4) ÷ x + 4

Length = x - 4 meters

In the diagram below, A ABC DEF
Which sequence of transformations maps A ABC onto A DEF.

Answers

Answer:

basically the opposite

Step-by-step explanation:

its inverted therefore find out how to get c b a and boom

Can someone help me out

Answers

Answer:

4 (100-250 words with a 100-word minimum)

if a dog drinks 8 quart of water a day, how many gallons does the dog drink in 3 days​

Answers

Answer:

6 gallons

Step-by-step explanation:

There are 4 quarts in gallons, so the dog drinks 2 gallons a day.

When we multiply 2 and 3, we would get 6.

So the dog drinks 6 gallons in 3 days (I don't know about you, but that's a lot of water)

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

Have a great summer :)

Answer:

The dog will drink 6 gallons.

Step-by-step explanation:

Every 8 quarts is 2 gallons.

Multiply 2 by 3, you'll get 6.

that's how much gallons a dog drinks in 3 days.

80 POINTS HURRY ILL GIVE BRANLIEIST!!!

A landscape architect built a square playground. The outside edges of the playground measure 3x meters. The playground has an area of 8100 m^2. How much fencing is needed to fully enclose the playground?

Answers

Answer:

360 meters

Step-by-step explanation:

[tex]\sqrt{8100}[/tex] = 90

one edge = 90 meters

90 x 4 = 360

360 meters

If you place a 34 foot ladder against the top of a building and the bottom of the ladder is 25 feet from the bottom of the building how tall is the building?

Answers

The answer is 59
34+25=59

HELPPP ME PLEASE WILL MARK BRAINLIEST IF YOU GIVE ME THE CORRECT ANSWER

Answers

Answer:

Option (3)

Step-by-step explanation:

Properties for the vertical stretch or shrink of a function,

If a function is f(x) = k|x|

1). Function will be vertically stretched if k > 1

2). Function will have a vertical shrink if 0 < k < 1

To fit the given data graph of f(x) = |x| will vertically shrink without any translation along x or y-axis.

And the value of k will be, 0 < k < 1.

Therefore, g(x) = [tex]\frac{1}{3}f(x)[/tex] will be the transformed graph.

Therefore, Option (3) will be the correct option.

If you have $50 in yo ur bank account, deposit a $50 birthday check, and withdraw $20 to buy a shirt, how much is left in your account at the end?

Answers

Answer:

80

Step-by-step explanation:

50+50=100-20=80

80
50+50=100
100-20=80

Explain how the vertical line test can be used to determine if a graph
is a function.

Answers

Answer:

Step-by-step explanation:

If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Example:

Answer:

Step-by-step explanation:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

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