Sam completed the square for the quadratic equation y=12x2−2x+3 in order to determine the minimum value of the equation, as shown.

Step 1: y=12(x2−1x+32)
Step 2: y=12(x2−x+14−14+32)
Step 3: y=12((x−12)2−14+32)
Step 4: y=12((x−12)2+54)
Step 5: y=12(x−12)2+58
What mistake, if any, did Sam make?

Answer: Area= 459.73cm^2

Step-by-step explanation: Circumference of a circle is 2πr

76=2×3.14×r

r= 76÷(6×3.14)

r=12.10

Area of a circle= πr^2

Area= 3.14×(12.10)^2

Area= 456.73cm^2

Answer:

I believe the answer is 4/15

Step-by-step explanation:

Answer:

5x + 45

Step-by-step explanation:

distribute 5 to both x and 9 so multiply them both

The triangle that does not have the y angle, equate all of its angles to 180 degrees and solve for x. Once you solve for x, substitute that value to the angles in the other triangle, and then add them all up and equate it to 180 degrees to solve for y.

Answer:

3/2

Step-by-step explanation:

21/5×5/14

105/70

divide by 5

21/14

divide both by 7

3/2

Answer:

60°

Step-by-step explanation:

Sum of angles in a triangle is equal to 180°.

33°+87°=120°

180°-120°= 60°

Answer: Multiple answers

Step-by-step explanation:

Answer: Multiple answers

Step-by-step explanation:

P.E.M.D.A.S (order of operations)

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction (From left to right)

M=Multiplication

D=Division

Multiplication is done before division.

So, multiply 1.21*2 for the first problem, and 1.20*2 for the other 2 problems.

1.

24/(1.21)2 becomes 24/2.42

24/2.42= 9.9173553719 (or 9.92 rounded, or 9.9)

2.

29/(1.20)2 becomes 29/2.4

29/2.4= 12.0833333333 (or 12.08 rounded, or 12.1)

3.

40/(1.20)2 becomes 40/2.4

40/2.4= 16.6666666667 (or 16.7 rounded)

I am not sure if you have to round your answers up, so I provided those answers as well in case.

Hope this helps!

Answer:

14

Step-by-step explanation:

1 3 fourths is 7/4

(7/4)*8

4 cancels out with 8

2*7=14

1 3 fourths = 1 3/4 = 7/4

=》 7/4 × 8 (cancel out 4 & 8)

=》 7 × 2 (multiply them)

=》 14

____

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

10÷250

= 0.04

Step-by-step explanation:

that's the answers

Answer:

nawng nimo lobot nako para ma baho imong nawng ibotang sakong lobot

a

distance is -8

b

-7 - 1 = -8

1 - (-7) = 8

c

l-7 - 1l = 8

l 1 - (-7)l = 8

hope this helps

Answer:

your so funny for a annoying kid

Step-by-step explanation:

A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed the magazine on sale for 50% off. What was the discount price?

Answer:

X^2 + 10x +24

Step-by-step explanation:

I hope this helps!

Step-by-step explanation:

the perimeter is easy.

it is an isoceles triangle, that means both sides are equally long (10 units).

the length of the baseline we can read directly off the coordinates of P and Q.

both are on the same horizontal grid line y = 1. so, the difference in x is their distance : 8 - -8 = 8+8 = 16

so, the perimeter is 10 + 10 + 16 = 36 units.

now, for k :

k is the height of the triangle + 1 (as the baseline is at y=1 and not at 0).

we can get the height by using Pythagoras :

c² = a² + b²

c is the Hypotenuse (the baseline) of the dude opposite of the 90° angle.

the triangle we use for this is

PR, half of PQ and the height of the main triangle, with PR being the Hypotenuse.

so,

10² = (16/2)² + height² = 8² + height²

height² = 10² - 8² = 100 - 64 = 36

height = 6

therefore, k = 6 + 1 = 7

Answer: 8 grapes

Step-by-step explanation:

Division represents even distribution.  As such, simply rephrase the word problem as 16 ÷ 2, or 8.

Hope it helps :) and let me know if you want me to elaborate.

Answer: 2.4

Step-by-step explanation:

Because they are similar, the lengths of the sides will have the same ratio.

We will use side AB and side XY since it shows both sides.

This shows that the ratio is 3:4

We can then use that to find out that XZ also uses the ratio 3:4

3.2 / 4 = 0.8

0.8 * 3 = 2.4

XY is equal to 2.4

Answer:

x = -2

Step-by-step explanation:

the graph never crosses the y-axis so it would be zero, but it crosses the x-axis at -2

Based on the centroid theorem, the value of x is: 2.5.

The centroid theorem states that, the centroid of a triangle equals two-third of the distance from each midpoint of a triangle to each vertex.

Given:

BD = 4x + 5

BF = 9x

Thus:

BD = 2/3(BF)

4x + 5 = 2/3(9x)

4x + 5 = 6x

4x - 6x = -5

-2x = -5

x = 5/2

x = 2.5

Therefore, based on the centroid theorem, the value of x is: 2.5.

Learn more about centroid theorem on:

https://brainly.com/question/20627009

Answer: 79.95 and 80.05

Step-by-step explanation: If the upper bound and lower bound is asked to a tenth then divide 0.1 by 2 and add 0.05 to 80.0 for the upper bound and minus 0.05 from 80.0 t get the lower bound.  

Answer:

If you‘re looking for the Circumference of a circle (since i didn’t really understand your question) C = 3 x 3.14 x radius (C is circumference aka perimeter btw)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/4 : 2 * 1/4 = 6 : x

0.25 : 2/4 = 6 : x

0.25 : 1/2 = 6 : x

0.25 : 0.5 = 6 : x

0.5 = 6 : x

x = 6 : 0.5

x = 12

Work Shown:

[tex]z = \frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}}\\\\\\z = \frac{\frac{537}{1851}-0.30}{\sqrt{\frac{0.30*(1-0.30)}{1851}}}\\\\\\z \approx \frac{0.290113-0.30}{\sqrt{\frac{0.21}{1851}}}\\\\\\z \approx \frac{-0.009887}{\sqrt{0.000113}}\\\\\\z \approx \frac{-0.009887}{0.010630}\\\\\\z \approx -0.93010348071496\\\\\\z \approx -0.93\\\\\\[/tex]

Answer: 35/18 or 1 17/18

Make both of the fractions improper by multiplying the denominator of one fraction by its whole number and add on the extra from the numerator. So 3x8 is 24, add the 1 is 25 to get 25/3 for the first fraction and 7 x 4 is 28, add 2 to gives us 30/7 (remember all denominators stay the same as in the question).

Now follow the steps in KFC (or KCF)

Keep the first fraction (25/3)

Change the sign to a x

Flip the last fraction (30/7 becomes 7/30)

Now we get 25/3 x 7/30

Multiply along the top and bottom to get 175/90 which then simplifies to 35/18 cuz we divided the top and bottom by 5. We can change 35/18 to a mixed number: 1 17/18

Answer:

y=15x+8

Step-by-step explanation:

Have a good day =)

Answer:

y=x+8

Step-by-step explanation:

m=y2-y1/x2-x1

First you choose one of your coordinate points to be 1 and one to be 2.

Then you substitute your x and y values into the equation above.

That way, you find the slope of the line.

For example i chose (-4,4) to be point 1 and (2,10) to be point 2.

m=10-4/2-(-4)

m=6/6

m=1

Next, you write the equation of a line.

y=mx+b

and you substitute the x and y values of one coordinate point into the equation. You also put m(slope) in, the one you just solved for.

I chose to substitute (2, 10)

10= 1(2)+b

Next, you solve for b

10=2+b

10-2=b

b=8

Now that you have b and your slope, you substitute those into the second equation

y=1x+8 or

y=x+8

Answer:

Step-by-step explanation:

So the sum of 128 and x+10 is on a straight line which is 180º right?, so:

x + 10 + 128 = 180

x = 180 - 128 - 10

x = 42º

Answer:

42

Step-by-step explanation:

x +10 +128 = 180   {Linear pair}

x  + 138 = 180

x = 180 - 138

x = 42

Answer:

20 -10 = 10

30 -20 = 10

40 -10 = 30

50 -10 = 40

This is the pattern we will add 10 to 40 that is 50

Brainliest pls

Answer:

1

Step-by-step explanation:

2(5)/3^2 + 1 =

10/9 + 1

10/10 =

1