Find the area of the metal sheet below that is required to make this square-shaped traffic sign. (note: square the binomial)

Answer:

YES

Step-by-step explanation:

For a triangle of sides a, b, c, we must have the following to be true to have a triangle.

a + b > c > |a - b|

b + c > a > |b - c|

a + c > b > |a - c|

if a=8, b=7, and c=9, we have that:

8 + 7 > 9 > 8 - 7, 15 > 9 > 1. TRUE.

7 + 9 > 8 > 9 - 7, 16 > 8 > 2. TRUE.

8 + 9 > 7 > 9 - 8, 17 > 7 > 1. TRUE.

Thus, a triangle can have sides of 8 cm, 7 cm, 9 cm.

Answer:

s = 32

Step-by-step explanation:

We have our equation:

s - 12 = 20

And we are trying to find s. Therefore, we can isolate the variable s, which means we have to move all the values from the variables side to the other side, like so:

s - 12 = 20

 +12     +12 (we add 12 to both sides in order to cancel out the -12, and also because whatever we do to one side, you have to do to the other!)

So, now our equation will look like this:

s = 20 + 12,

or,

s = 32

Which happens to be our answer!

Hope this helps :)

Answer:

A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)

B) Lakshmi is the tallest, 1.56m tall

Step-by-step explanation:

Rahul- 1.54m

Akash- 1500mm

Meera- 152cm

Lakshmi- 1560mm

Let's start by converting all the measurements to meters.

Rahul is already in meters, so he can just stay the same.

1500mm = 1.5m

152cm = 1.52m

1560mm = 1.56m

So our new measurements are:

Rahul- 1.54m

Akash- 1.5m

Meera= 1.52m

Lakshmi= 1.56m

We can now make our conclusions.

A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)

B) Lakshmi is the tallest, 1.56m tall

Answer:

Step-by-step explanation:

Let's convert all the heights to meters:

Rahul 1.54m

Akash 1.50 m

Meera 1.52 m

Lakshmi 1.56m

Now, let's arrange their heights in ascending order (shortest to tallest):

Akash 1.50 m

Meera 1.52 m

Rahul 1.54m

Lakshmi 1.56m

a) 1500 mm, 152 cm, 1.54 m, 1560 mm

b) therefore Lakshmi is the tallest.

Answer:

g = 6

Step-by-step explanation:

Step 1: Subtract 3.3g from both sides.

Step 2: Subtract 8 from both sides.

Step 3: Divide both sides by 2.

(hope this helps) :)

Answer:

Jennifer has the faster training rate.

Step-by-step explanation:

In order to determine the equation that represents the distance, y (in kilometers), that Jennifer traveled in x minutes:

Choose two ordered pairs from the table: (5, 40) and (64, 8).

Let (x1, y1) = (40, 5)

(x2, y2) = (64, 8)

Substitute these values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = (8 - 5)/(64 -40)

m = 3/24 = 1/8

Therefore, y = 1/8x represents the distance, y (in kilometers), that Jennifer traveled in x minutes.

In order to find out who has the faster training rate, choose one of the given x values from the table, and substitute it into Patrick's and Jennifer's equations:

Let x = 40:

Patrick:

y = 1/9x

y = 1/9(40)

y = 4.44 km  ⇒ This represents the distance that Patrick traveled in 40 minutes.

In contrast, Jennifer traveled for 5 kilometers in 40 minutes (according to the given table). She reached a farther distance than Patrick, given their training time of 40 minutes.

Therefore, Jennifer has the faster training rate.

Answer:

A. (4, -4)

Step-by-step explanation:

Equation form x = 4, y = −4

Answer:

Option A

Step-by-step explanation:

5x + 2 y = 12 -----------(I)

5x - 2y = 28 ------------(II)

Add equation (I) & (II). So, y will be eliminated and we will get the value of x

(I)     5x + 2y = 12

(II)     5x -2y  = 28    {Now add}

         10x      =  40

                  x = 40/10

x = 4

Plugin x = 4 in equation (I)

5*4 + 2y = 12

20 + 2y = 12

        2y = 12 - 20

        2y = -8

          y = -8/2

y = -4

Answer:

15 cups

Step-by-step explanation:

2:3

10:?

2x5:3x5

10:15

Answer:

A = 4; B = -1 ; C = -29

Step-by-step explanation:

y = 4(x + 6) + 5

y = 4x + 24 +5

y = 4x + 29

Standard form: Ax + By = C

 4x - y = -29  

Answer:

Step-by-step explanation:

Hope this Helps ;)

Answer:

631226

Step-by-step explanation:

The grid reference number for the mine shown is (63.35, 12.7).

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

From the given grid,

The reference point is (63.35, 12.7)

Therefore, the grid reference number for the mine shown is (63.35, 12.7).

Learn more about the coordinate plane here:

https://brainly.com/question/24134413.

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Answer:

-5(-2)=10

Step-by-step explanation:

Let be x

[tex] - 5 \times - 2 = x \\ take \: minus \: to \: rhs \: from \: lhs \\ 5 \times ( - 2) = - x \\ - 10 = - x \\ cancel \: minus \: on \: both \: sides \\ 10 = x[/tex]

Answer: help what?????

Step-by-step explanation:

Answer:

my brother said it is 5 and 10... but i do not know if it is

Answer:

-10 × -10= 100

dkfofjdnrjf

Step-by-step explanation:

it would be irrational insta dfl.jacob if you need more help

Answer:

Rational

Step-by-step explanation:

0.06=3/50

Answer:

Answer is option 2 (as it doesn't contain H)

Step-by-step explanation:

If you like my answer than please mark me brainliest

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The term in the formula which isn't dependent on height is :

Answer:

the y intercept is -3

Step-by-step explanation:

if you need an explanation lmk!

Answer:

y- intercept = - 3

Step-by-step explanation:

The y- intercept is where the line crosses the y- axis.

This occurs when the x- coordinate is zero

From the table

when x = 0 , then y = - 3 ← y- intercept

Answer:

x=0

Step-by-step explanation:

1st Step(Plug in 0 for x):   2(0-3)+9=3(0+1)+x

2nd Step(Simplify):   2*(-3)+9=3*(1)+x

3rd Step(Multiply):   -6+9=3+x

4th Step(Add):   3=3+x

5th Step(Subtract 3 from both sides): x=0

For any questions saying what is the value of x in the equation, just plug in one of the options from a,b,c,d. And work from there

Answer:

5+2x+x+2=34

7+3x=34

7-7+3x=34-7

3x=27

3x/3=27/3

x=9

5+2x=AS

5+(2*9)=AS

5+18=AS

23=AS

23 units

Step-by-step explanation:

The number of real solutions is 0, the correct answer is A.

Let the quadratic equation given be of the form ax^2 + bx + c = 0, then

The quantity b^2 - 4ac is called its discriminant.

The solution contains the term [tex]\sqrt{b^2 - 4ac}[/tex] which will be:

Real and distinct if the discriminant is positive

Real and equal if the discriminant is 0

Non-real and distinct roots if the discriminant is negative

There are two roots of a quadratic equations always(assuming existence of complex numbers). We say that the considered quadratic equation has 2 solution if roots are distinct, and have 1 solutions when both roots are same.

We are given that;

The equation -2x^2+x-28= 0

Now,

The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by b^2 - 4ac. The discriminant can be used to determine the number of real solutions of the equation as follows:

If the discriminant is positive, there are two distinct real solutions.

If the discriminant is zero, there is one repeated real solution.

If the discriminant is negative, there are no real solutions.

In this case, the quadratic equation is -2x^2 + x - 28 = 0. Comparing it with the standard form, we can identify that a = -2, b = 1, and c = -28. Therefore, the discriminant is:

b^2 - 4ac

= 1^2 - 4(-2)(-28)

= 1 - 224

= -223

Since, the discriminant is negative, there are no real solutions for this equation.

Learn more about discriminant of a quadratic equation here:

https://brainly.com/question/18659539

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no noeeeeeeeeeeeeeeeeed

Answer:

5)

V= 1,-4

S) x=1

Min= 1,-4

zeros= (-1,0)(3,0)

6)

V= -2,0

S= x=-2

min= -2,0

zeros= -2,0

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Answer:

No.

Step-by-step explanation:

A rational number is a number that can be written in the form a/b, where a and b are integers. A rational number does not have to be written in the form a/b. I just needs to be able to be written in that form.

Can 5 1/3 be written as a fraction of integers?

5 1/3 = 5 + 1/3 = 15/3 + 1/3 = 16/3

5 1/3 = 16/3

16/3 is in the form a/b, where a and b are integers.

Since 5 1/3 can be written as a fraction of integers, it is rational.

Anna is incorrect.

Answer: x = -11

Step-by-step explanation:

Expand the expression (distributive property): 3 - 9x = -8x + 14

// subtract 14 from both sides = -11

// add 9x on both sides = x

Simplify: x = -11

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

1) Rearrange Terms

[tex]3(-3x+1)=2(-4x+7)[/tex]

2) Distribute

[tex]-9x+3=2(-4x+7)[/tex]

3) Distribute

[tex]-9x+3=-8x+14[/tex]

4) Subtract 3 from both sides of the equation

[tex]-9x+3-3=-8x+14-3[/tex]

5) Simplify

A. Subtract the numbers

[tex]-9x=-8x+14-3[/tex]

B. Subtract the numbers

[tex]-9x=-8x+11[/tex]

6) Add 8x to both sides of the equation

[tex]-9x+8x=-8x+11+8x[/tex]

7) Simplify

A. Combine like terms

[tex]-x=-8x+11+8x[/tex]

B. Combine like terms

[tex]-x=11[/tex]

8) Divide both sides of the equation by the same term

[tex]\frac{-x}{-1} =\frac{11}{-1}[/tex]

9) Simplify

A. Cancel terms that are in both the numerator and denominator

[tex]x=\frac{11}{-1}[/tex]

B. Divide the numbers

[tex]x=-11[/tex]

Answer:

in simplify this is- 9a2i+42ab+49b2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

12-8/-3-(-5)=4/2

m=4/2

Answer:A

Step-by-step explanation:

Answer:

79m

Step-by-step explanation:

344-(93x2)=158

158/2=79m

Step-by-step explanation:

perimeter = 344

length = 93

perimeter of rectangle = 2( l+ b )

344 = 2 (93 + b)

344÷2 = 93 + b

172 = 93 + b

172 - 93 = b

79 = b

in other words width is 79

hope it helps