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Determine whether or not each expression below is a perfect square. Explain why the expression is or is not a perfect square. If it is not a perfect square, find the perfect square that seems “closest” to the given expression and show how the perfect square can be adjusted to be the given expression.

1. A(x)=x^2+6x+13

2. A(x)=2x^2+8x+14

Answer:

The slope of a line that is perpendicular to the line

shown in the graph is = 4

Hence, option 'd' is true.

Step-by-step explanation:

From the line equation, let us take two points

Finding the slope between two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)[/tex]

[tex]m=\frac{1-2}{4-0}[/tex]

[tex]m=-\frac{1}{4}[/tex]

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be:

[tex]-\frac{1}{-\frac{1}{4}}=4[/tex]

Thus, the slope of a line that is perpendicular to the line

shown in the graph is = 4

Hence, option 'd' is true.

Answer:

X=0.500

Step-by-step explanation:

maths

Answer:

=−ax+x2−3a+3x

Step-by-step explanation:

Answer:

my mom calls me I'll be back

Answer:

68

Step-by-step explanation:

6.8 × [tex]10^2[/tex]

= 68

Answer:

12 pounds

Step-by-step explanation:

You have to divide the mass value by 16.

Answer:

5.625

Step-by-step explanation:

Answer:

I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.

Step-by-step explanation:

So, for the chart you just mulitply and evauluate

Time (min)           | 2 |  3 |  4 |   5  |   6 |

Water used (gal) | 8 | 12 | 16 | 20 | 24 |

Answer:

the answer is c

Step-by-step explanation:

good luck

Answer:

last option

Domain: -3,-1,2,5    Range: 0,2,4

It may be the one above it but you have to be careful because it might say that 0 is a real number or it is not. Fair warning!

Step-by-step explanation:

The domain is the x values and the range is the y values.

Hope this helps!

Answer:

(-38,18)

Step-by-step explanation:

Step: Solvex+3y=16for x:

x+3y+−3y=16+−3y(Add -3y to both sides)

x=−3y+16

Step: Substitute−3y+16forxin2x+5y=14:

2x+5y=14

2(−3y+16)+5y=14

−y+32=14(Simplify both sides of the equation)

−y+32+−32=14+−32(Add -32 to both sides)

−y=−18 Divide both sides by -1

[tex]\frac{-y}{-1} =\frac{-18}{-1}[/tex]

y=18

Step: Substitute18foryinx=−3y+16:

x=−3y+16

x=(−3)(18)+16

x=−38

Answer:

The answer is c.29

Step-by-step explanation:

I used Google xD

Answer:

Largest number = 29

Step-by-step explanation:

Let the consecutive numbers by (x + 1) ; (x + 2) and (x +3)

x +1 + x + 2 + x + 3 = 84         {Combine like terms}

x + x +x + 1  + 2 + 3 = 84

               3x + 6 = 84

                    3x = 84 - 6

                     3x = 78

                        x = 78/3

x = 26

Largest number = x + 3 = 26 + 3

                           =29

Answer:

You'll pay $3013

Step-by-step explanation:

Amount to pay=$2620+Interest accrued

A=$2620+($2620×0.03×5)

A=$2620+$393

A=$3013

Answer:

100feet

Step-by-step explanation:

Given the height of the object modelled by the equation

y = -16x^2 + 48x + 64

We can find the maximum height reached by the object since we are not told what to find.

The velocity of the object at its max height is zero.

dy/x = 0

dy/dx = -32x + 48

0 = -32x + 48

32x = 48

x = 48/32

x = 1.5secs

get the max height by substituting x = 1.5 into the given equation:

y = -16x^2 + 48x + 64

y = -16(1.5)^2 + 48(1.5)+ 64

y =  -36+72+64

y = 100 feet

Hence the maximum height reached by the object is 100feet

Answer:

304.8 millimeters

Step-by-step explanation:

Answer:

0.003

Step-by-step explanation:

Answer: 34/5

Step-by-step explanation:

Answer: B

Step-by-step explanation:

ITS D

Step-by-step explanation:

Answer:

The alop is 4. Glad this helps.

Answer:

the slope is 4

Step-by-step explanation:

Answer:

The correct answer is C, 68in².

Answer:

68

Step-by-step explanation:

The are of the  square is 3*3 = 9

Since we have two squares we need to mulitply by 2

9*2 = 18 is the total area of the squares

if you draw a line from the one square to the other you make a rectangle in the middle

the are of the rectangle is 10*3 which is 30

Two triangle has appared as we draw the line from one square to the other square.

The height of the traingle is (7 - 3)/2 which is 2

(2*10) / 2 =  which is 10

Since we have 2 triangle we get result as 2*10 = 20

20+30+18 = 68

Answer:

GHC

Step-by-step explanation:

Answer:

the co-interior angle of angle AGH is Angle GHC.

Answer:

B number is right.

8 + (15 – 4) x 4 – 10 ÷ 5

8+11×4--10÷5

8+11×4-2

8+44-2

52-2

50

Answer:

20%.

1.2/1.5 = 0.8

0.8*100 = 80%

100%-80% = 20%.

We can verify this:

1.5-20% = 1.2.

Answer: 20%

Step-by-step explanation:

Substitution Method

For x:

[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]

For y:

[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]

Solution:

[tex](14, 15.5)[/tex]

Graphing Method

According to this graph, the solution will be [tex](14, 15.5)[/tex].

Answer:

I think its A

Step-by-step explanation:

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