Find three consecutive integers such that if the third is subtracted from six times the sum of the first and second, the result is 452 more than twice the second.

Answer:

[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]

[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]

We are given the expression:

[tex]2^m=n[/tex]

We need to express the following expression in terms of n.

[tex]8^m-4^{-m}[/tex]

It's necessary to modify the expression to use the given equivalence.

Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:

[tex](2^3)^m-(2^2)^{-m}[/tex]

Applying the property:

[tex](2^m)^3-(2^m)^{-2}[/tex]

Substituting the given expression:

[tex]n^3-n^{-2}[/tex]

Or, equivalently:

[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]

Answer:

100 sq m

Step-by-step explanation:

if you fill in the shape to be a big rectangle it will be 8 x 22 =176 sq m

then the little piece on the left that is taken out is 2 x 2 = 4 sq m

the piece on the right is 6 x 12 = 72 sq m

so subtract them from the big rectangle

176 - 4 - 72 = 100 sq m

Answer:

100m^2

Step-by-step explanation:

To do this we need to break the shape into sections as illustrated in the picture I attached, I color coded the squares to make it easier to explain. Now we just find the area of each shape and add them all together.

Area= base•height

So for the purple shape:

6•2=12

Orange:

8•8=64

Green:

2•12=24

In total:

12+64+24=100

And since it's area it would be in square units which just means it'd look like this:

[tex] {100m}^{2} [/tex]

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

y=-1/2x+2

the y-intercept is at 2 and the slope is -1/2

meaning the y coordinates with move down 1 while the x coordinates will move 2 in a positive (right) direction

Answer:

-23 is a set number (-2)3 is an equation

Step-by-step explanation:

The difference between (-2)3 and -23 are very simple. -23 is the product of another expression while (-2)3 can be simplified to -6 when multiplied.

Answer:

it is infinite solutions

Step-by-step explanation:

because 20+5t=20+5t even if you put any number as the variable

Answer:

All of them

Step-by-step explanation:

Answer:

Point form: (4, 4)

x = 4, y = 4

=5^6/5^4

=5^(6-4)

=5^2 ANSWER..

Answer:

Step-by-step explanation:

m∠2 = 180° - 113° = 67°

(B) EF is perpendicular to EH.

Therefore, the correct option is (B) EF is perpendicular to EH.

Know more about quadrilaterals here:

https://brainly.com/question/16691874

#SPJ2

Answer:

B and C

Step-by-step explanation:

Answer:

Multiply the top equation by two because both y value will become opposites and will eliminate.

Please give Brainliest! I never got one! :)

Answer:

Well i will start that the answer is

" (x,y)= (-1/4, 4/3)                                     3y=2/3

Step-by-step explanation:

Answer:

Work shown below!

Step-by-step explanation:

(a + 3)(a + 5) = [tex]a^{2} +5a+3a+15=a^{2}+8a+15[/tex]

Answer:

7.2 Minutes

Step-by-step explanation:

Use Ratios

Miles : Minutes

5:36

Divide Both Sides By 5

1:7.2

It will Take Ally 7.2 Minutes To Run 1 Mile

Answer: 1.15

Step-by-step explanation:

Answer:

1.15 is the answer

Step-by-step explanation:

Answer:

x = 18

y = 54

Step-by-step explanation:

A straight line equals 180 degrees.

Since Lines CD and AB are straight, we can deduce that the angle 3x = 2x + angle AN.

Because there is a right angle, we can subtract 90 -72 = 18.

18 + 2x = 3x

18 = x

A straight line equals 180 degrees. Once we figure out that x = 18, we can figure out y by plugging in x and then subtracting your answer from 180 degrees.

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day!

Answer:

39.19

Step-by-step explanation:

sin(29°)=(19/x)

x= 19/sin(29°)

/= over

i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse

Answer:

6560lbs

Step-by-step explanation:

Answer:

C. Infinitely many solutions

Step-by-step explanation:

Answer:

INFINITE SOLUTIONS

Step-by-step :(examples)

any value of x makes the equation true

true for all= infinite solutions

one solution= x=30

no solution= 7=0

Answer:

The answer is undefined.

Step-by-step explanation:

The x will never change, no matter what the y is, so the answer will always be undefined.

Answer:

a

Step-by-step explanation:

4x+9y= -108

4(0)=9y= -108

9y= -108

-108/9

y- intercept= -12

Answer:

D is correct

rost beef sandwich=7$

turkey sandwich=5$

Step-by-step explanation:

Answer:

52 feet apart

Step-by-step explanation:

20 + 32 = 52

Answer:

52 feet

Step-by-step explanation:

20 + 32 = 52

The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

[tex]m\angle ABC = 77.2^\circ[/tex]

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

[tex]m\angle ABD=m\angle CBD[/tex]

Substituting the algebraic expressions for both angles:

[tex]2.5x + 8.6=3.5x - 3.4[/tex]

Subtracting 8.6 and 3.5x:

[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]

Operating:

[tex]-x = -12[/tex]

[tex]x = 12[/tex]

The two angles are:

[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]

[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]

[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]

Answer:

450 Km

Step-by-step explanation:

90 Km/hr x 5 hr = 450 Km

I hope this helped and good luck!

Answer: Distance= 450km

Step-by-step explanation:

90 times 5= 450

Answer:

-2

Step-by-step explanation:

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Step 1: Multiply both sides of the equation by 3.

Step 2: Simplify both sides of the equation.

Step 3: Move all terms not containing x to the right side of the equation.

Answer:

AB = 18 in.

BC = 22 in.

ED = 33 in.

Angle B = not possible

Angle C: not possible

Angle D = 39°

Angle E: not possible

Angle F: not possible

Step-by-step explanation:

Because it is given that ΔABC≅ΔDFE, we can find the corresponding sides and angles and then find all possible missing side and angle measures from the given diagram.

AB corresponds to DF (ΔABC ≅ ΔDFE)

Because DF = 18, then AB must equal 18.

BC corresponds to FE (ΔABC≅ΔDFE)

Because FE = 22, then BC must equal 22.

ED corresponds to CA (ΔABC≅ΔDFE)

Because CA = 33, then ED must equal 33.

Angle D corresponds to angle A (ΔABC≅ΔDFE)

Because angle A = 39°, then angle D must equal 39°.

All other angles cannot be found since they are not given on the corresponding angles of the triangles in the diagram.

I hope this helps you :)

Answer:

1.88

Step-by-step explanation: