Find three consecutive even integers such that the square of the first is 80 less than the square of the third. [Only an algebraic solution will be accepted.]​

Answers

Answer 1

Answer:

First number = 19

Second consecutive = 20

Third consecutive = 21

Step-by-step explanation:

Assume;

First number = x

So,

Second consecutive = x + 1

Third consecutive = x + 1 + 1 = x + 2

So,

(x + 2)² - x² = 80

x² + 2(2)(x) + 2² - x² = 80

x² + 4x + 4 - x² = 80

4x + 4 = 80

4x = 80 - 4

4x = 76

x = 76 / 4

x = 19

First number = x

First number = 19

Second consecutive = x + 1

Second consecutive = 19 + 1

Second consecutive = 20

Third consecutive = x + 2

Third consecutive = 19 + 2

Third consecutive = 21


Related Questions

Will give brainliest to whoever can answer with evidence to support your answer.

Answers

Answer:

12x - 10 = 14.5x - 20

Step-by-step explanation:

Store A = $12 each and subtract 10

Store B = $14.5 each and subtract 20

Equation:

12x - 10 = 14.5x - 20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What is the formula for prism​

Answers

Answer:

The formula for the volume of a triangular prism is:

V=(l)(w)(h)

Where l is the length of the triangle, w is the width of the triangle, and h is the height of the prism

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

PLEASE HELP, PLEASE....

Answers

Answer:

allen= y=3/2+2  billy= y= 3/2+4

Step-by-step explanation:

ok both of the equation are (almost) the same except for the y intercepts.

y=mx+b... you are learning about that hopefully!

so. each of their trees are growing by 3... feet I'll just say feet. that means the slope is three because they are each going up that much. you also have to pay attention to the fact that the year is going up by two, so your tree is actually growing by 1.5 (3 halves) feet each year. now you have to find the y intercept by back tracking. remember that the y intercept is where y is zero and x is whatever it is.

if you go back three on allen, the y intercept is 2 and if you go back on billy, the y intercept is 4.

as for the second question, the lines are parallel. they have the exact same slope so that means that they will never cross  because billy's line is higher then allens, billy's tree will always be higher

Plz help will mark brainliest plz show work!!

Answers

Answer:

C   19.2

Step-by-step explanation:

Corresponding parts have the same proportion

x/24 = 20.8/26

multiply both sides by 24

x = 20.8/26 * 24

x = 19.2

Answer:

C

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AC}{DF}[/tex] = [tex]\frac{AB}{DE}[/tex] , substitute values

[tex]\frac{x}{24}[/tex] = [tex]\frac{20.8}{26}[/tex] ( cross- multiply )

26x = 499.2 ( divide both sides by 26 )

x = 19.2 → C

PLEASE HELP ME WITH THIS ALGEBRA PROBLEM!!

Answers

Answer:

Solution given.

centre (h,k):(-6,1)

radius (r)=2

we have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x+6)²+(y-1)²=2²

(x+6)²+(y-1)²=4 is a required equation of a circle.

Find the distance between each pair of points. Round to the nearest hundredth (-8,-2) and (6,-1)

Answers

Answer:

Use the distance formula to determine the distance between two points.

Exact Form:

197

Decimal Form:

14.03566884

Step-by-step explanation:

The area of a right triangle is 54 square centimeters. The lengths of the sides of the triangle are each multiplied by 4. What is the area of the new triangle?

A).4cm²
B).216cm²
C).864cm²
D).2916cm²

Answers

Answer:

864

Step-by-step explanation:

Answer:C 864cm

Step-by-step explanation:

2. A(an) ______________of a prism is a perpendicular segment that joins the planes of the bases. (The height h is the length of one.)

Answers

Answer:

A(an)   altitude    of a prism is a perpendicular segment that joins the planes of the bases. (The height h is the length of one.)

Step-by-step explanation:

AN ALTITUDE -  An altitude of a triangle is a line segment that passes through a vertex and is perpendicular to (i.e. forms a right angle with) the base line (the side opposite the vertex). The expanded base of the altitude is the line that contains the opposing side. The foot of the altitude is the point where the extended base meets the altitude. The area of a triangle can be calculated using altitudes: one half of the product of an altitude's length and its base's length equals the triangle's area. As a result, the longest altitude is perpendicular to the triangle's shortest side. Through trigonometric functions, the heights are also connected to the triangle's sides.

Hence , the answer is an altitude .

I need help ASAP


For which function and interval can the extreme value theorem be applied?

f (x) = StartFraction x Over (x minus 6) squared EndFraction over the interval [3, 5]
f (x) = StartFraction negative 5 Over 2 (x minus 7) cubed EndFraction over the interval (6, 8)
f(x) = 4 tan(πx) over the interval [0, 1]
f(x) = 3ex + 1 over the interval (1, 3)

Answers

Answer:

A) f(x)=x/(x-6)^2 over the interval [3, 5]

Step-by-step explanation:

got it right on edge :) good luck!

Answer:

A

Step-by-step explanation:

got it on edge!!

Find the volume of the cylinder

Answers

Answer:

[tex]14130 {ft}^{3} [/tex]

Find the height of a cylinder when the surface area is 1004.80 cm squared and the radius is 10 cm.

Answers

Step-by-step explanation:

[tex]volume =\pi {r}^{2}h[/tex]

[tex]area = \pi {r}^{2} [/tex]

CALCULATION

remember

[tex]\pi = 22 \div 7[/tex]

So, we will just place the area and equate it to the unknown volume including the height

1004.80 = 22/7 × 10× 10 × h

1004.80 = 314.26h

h = 3.197

^^ please help!! i will give brainilest .

Answers

what are the answer that’s they give

Here is a sequence of numbers:
1
1
2
3
5 8
a)
C
What kind of sequence is this?
13
b)
Find the next number in the sequence.
13

Answers

Answer:

This is the Fibonacci Sequence. The next number is found by adding up the two numbers before it. Therefore the next number is (13+8) 21.

Step-by-step explanation:

please help me asap i’ll give you a thanks and 10 points

Answers

Answer: B)
Explanation: when rotating a point a 90 degree counter clockwise origin a(x,y) becomes a’(-y,x) meaning you switch the x and y and make the y negative

Kaylee measured her dog and found out that it weighs 20 lbs. a. Last year, the dog weighed 22 lbs. What is the percent of change in the weight of the dog?

Answers

20% I think because 20 lbs and 22 lbs would be 2% apart and 2% equals 20

bill plays a game of a chance at school fair.
he spins these 2 spinners.
if the sum of his number is an even number, he will win a prize.


complete this addition chart to show the possible totals

Answers

Answer:

well... this normal addition

Step-by-step explanation:

9+8=17

9+1=10

5+4=9

5+2=7

3+4=7

3+1=4

Jake throws a stone off a bridge into the river. The stones height in meters above the water is based on the time in seconds after jake threw the stone. The quadratic equation y=-5^2+10x+15 represents the scenario

Answers

Answer:

The stone will hit the water after 3 seconds

Step-by-step explanation:

Given

[tex]y = -5x^2 + 10x +15[/tex]

Required

At what time will the stone enter the water

When the stone enters the water;

[tex]y = 0[/tex]

So, we have:

[tex]-5x^2 + 10x +15 = 0[/tex]

Divide through by -5

[tex]x^2 -2x -3 = 0[/tex]

Expand

[tex]x^2 +x -3x -3 = 0[/tex]

Factorize

[tex]x(x +1) -3(x +1) = 0[/tex]

Factor out x + 1

[tex](x -3) (x +1) = 0[/tex]

Solve for x

[tex]x - 3 = 0\ or\ x + 1 = 0[/tex]

[tex]x = 3\ or\ x = -1[/tex]

x (time) cannot be negative.

So:

[tex]x = 3[/tex]

whice set of side will make a triangle

Answers

First things first.. What type of triangle

If u are taking about a normal triangle here is some:

∠60+∠60+∠60

∠30+∠90+∠60

∠11+∠82+∠87

helppp I’m not good with this stuff lol

Answers

Answer:

that is you my question is wrong for me

what is the value of x? i need the work for it as well thank you so much!

Answers

the answer would be x=19

Answer:

x=19

Step-by-step explanation:

okay so all those angles there are pretty simple. because of the vertical angles theorem, the angles that go across from each other are equal to each other. On a thing like this those intersections are congruent. So knowing this we can assume that (6x+4)=118. so if you solve the basic algebra for that (you can use mathpapa or smt if you really need the work for that) then it comes out as x=19 which you can check.

6x+4=118

subtract 4 from both sides

6x=114

divide by 6 on both sides

x=19

Hope this helps!

answer this question for brainilest and points

Answers

Answer:

g= 1

Step-by-step explanation:

-3+5+6g=11-3g

-3+5=11-9g

-3-11+5=-9g

-9=-9g

1=g

you want to first isolate the variables on one side. from there you calculate all the real numbers together. then you divide the number being multiplied with teh variable by the number that was calculated on the other side.

Once you have a singluar amount of the variable, you know you have your answer.

What is the area of a triangle shape with a base of 12 feet, sides that are 7 feet, and a height of 9 feet

Answers

Answer: The Answer Is 54 ft2

Answer:

54

Step-by-step explanation:

A=1/2(b)(h)

f(x) = 4x2 + 5x - 3
g(x) = 4x2 – 3x2 + 5
Find (f +g)(x).

Answers

Answer:

5x + 12

Step-by-step explanation:

simplify f(x) and g(x)

g(x) = 4*2 -3*2 +5

g(x) = 8 -6 + 5

g(x) = 7

and

f(x) = 4*2 + 5x -3

f(x) = 8 + 5x - 3

f(x) = 5x + 5

So (f + g)(x) = f(x) + g(x)

(f + g)(x) = (5x + 5) + (7)

(f + g)(x) = 5x + 12

Your commission is $60 for
every $200 sold.

Commission on $700 =

a=260
b=140
c=210

Answers

It’s C becuase when you divide the 700$ by 200$, you will get 3.5. So you basically multiply it with 60$ and there you have your answer which is 60*3 + 60*0.5=210

Answer:Its 210

Step-by-step explanation:

Trust me

Please helpppp I’ll make you the brainiest

Answers

I don’t know exact answer but with my opinion 2nd opinion is the answer

Answer: D) f(z) = 7 to the power of 2.

There are 7 red, 9 blue, 2 yellow and 4 green marbles in a bag. You make 2 draws from the bag without returning the first marble selected back to the bag. What is the possibility you select a red then green marble at random?​

Answers

Answer:

11 out of 22 marbles

Step-by-step explanation:

Just add up the red and green marbles to get the top # and then add up all the colored marbles to get the bottom #.

Hope this helps :) Please give brainliest!

25 - 6r = 25 please i really need to know what R is

Answers

25 - 6r = 25
-6r = 25-25
-6r = 0
r = 0/-6
r = 0

Answer:

r = 0

1.

    25-6r=25

                          −6r+25=25

2.    

        − 6r+25 = 25

                                    − 6

Janet had 42 marbles. ⅚ of them were blue. The rest were red. How many marbles were blue?

Answers

Answer:

35 marbles were blue

Step-by-step explanation:

42/6 = 7

7 x 5 = 35

Approximately 70% of high school graduates attend college. If Smith Town has a graduating class of 300 students, how many can be expected to attend college?

Answers

Answer:

210

Step-by-step explanation:

Multiply by the total amount by the decimal equivalent of 70% (0.7) to get your answer.

HELP ME OUT GUYS!!!! Question is in the screenshot below.

Answers

Answer:

87.55 [tex]cm^2[/tex]

Step-by-step explanation:

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