The method of completing the square can be used to transform the equation
X2 - 6 + 8 = 0 into the form (26-1)2=9.
What are the values for p and q?

Answer:

8 6/11 is about 8.545, 17/2 = 8.5

From least to greatest: 17/2, 8 6/11, 8.83, 8.838

Step-by-step explanation:

8 6/11 is a mixed fraction

Converting it to improper fraction

Converting it to improper fraction11*8+6=88+6

Converting it to improper fraction11*8+6=88+6=94

Converting it to improper fraction11*8+6=88+6=9417/2 =8.5

8.838 is approximately 8.84

Having simplified all the values

The values to be arranged are 94, 8.838, 8.5 and 8.83

From smallest to biggest you have:

8.83, 8.838, 8.5, 94

I hope I helped

Answer:

First by 3, second by -2.

Step-by-step explanation:

You need to get the x-factor to the smallest common multiple of 4 and 6, which is 12.

But also, if you add both, they should cancel out the x term, i.e.,:

-12x + 12x = 0

You get that by multiplying by 3 and -2, respectively.

Answer:

Its 0 because thats the only value not bigger than 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Any value to the left of 4 is a solution to x < 4

The only value on the list that is left of 4 is 0 → B

The results are:

Pair 1:

Bitwise OR: 1111

Bitwise AND: 1010

Bitwise XOR: 0101

Pair 2:

Bitwise OR: 0111

Bitwise AND: 0000

Bitwise XOR: 0101

To find the bitwise OR, AND, and XOR for the given pairs of bit strings, let's perform the operations on each corresponding bit position:

Pair 1:

a = 101

b = 1110

Bitwise OR (|):

a | b = 1111

Bitwise AND (&):

a & b = 1010

Bitwise XOR (^):

\(a ^ b\) = 0101

Pair 2:

a = 010

b = 0001

Bitwise OR (|):

a | b = 0111

Bitwise AND (&):

a & b = 0000

Bitwise XOR (^):

\(a ^ b\) = 0101

Therefore, the results are:

Pair 1:

Bitwise OR: 1111

Bitwise AND: 1010

Bitwise XOR: 0101

Pair 2:

Bitwise OR: 0111

Bitwise AND: 0000

Bitwise XOR: 0101

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Answer:

v = 904.78 cubic units

Step-by-step explanation:

We can find the volume of a sphere using the formula V = (4/3)πr^3, where r is the radius of the sphere.

Since the diameter of the sphere is given as 12, we can find the radius by dividing it by 2:

r = d/2 = 12/2 = 6

Now we can substitute the value of r into the formula:

V = (4/3)πr^3 = (4/3)π(6)^3

Simplifying this expression, we get:

V = (4/3)π216

V = 904.78 cubic units (rounded to two decimal places)

Therefore, the volume of the sphere with a diameter of 12 units is approximately 904.78 cubic units.

Answer: \(288\pi\)

Step-by-step explanation: We know that the formula for the volume of a sphere is  \(\frac{4}{3} * \pi *r^3\). We can find the radius of the sphere by dividing the diameter by 2, which gives us r = 6. Plugging those into the formula ->

\(\frac{4}{3} *\pi *(6)^3\). We find that the volume of a sphere with a diameter of 12, is \(288\pi\) or volume is around 904.78.

Step 1: Theorem

The measure of the angle between two tangent that intercept outside a circle is half the positive difference of the measure of the intercepted arcs.

Step 2: Redraw the figure.

Step 3:

We know that 2x + 240 = 360.

Collect like terms

The value of x can also be calculated using the formula below from the theorem.

The measure of the angle between two tangent that intercept outside a circle is half the positive difference of the measure of the intercepted arcs

Answer:

92

Step-by-step explanation:

Leslie arranged 6 blocks in each of the 10 stacks.

a large solid piece of hard material, especially rock, stone, or wood,

typically with flat surfaces on each side.Full Definition of block (Entry 1 of

3) 1 : a compact usually solid piece of substantial material especially

when worked or altered to serve a particular purpose a block of ice

blocks of cheese : such as a : the piece of wood on which the neck of a

person condemned to be beheaded is laid for execution put her neck on

the block.

Leslie took 60 wooden blocks and arranged them in 10 even stacks.

A good answer would be:

Leslie took 60 wooden blocks and arranged them in 10 even stacks.

To find out how many blocks are in each stack,

we can divide the total number of blocks (60) by the number of stacks (10).

60 blocks ÷ 10 stacks = 6 blocks per stack

Therefore, Leslie arranged 6 blocks in each of the 10 stacks.

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Answer: f(x)=90

Step-by-step explanation:

f(x)=-(-9)^2-(9)     substitute -9 for x

f(x)=9^2+9           simplify negatives

f(x)=81+9             simplify exponents

f(x)=90                 add

Answer:

b=12.2-8

b=4.2

thus

4.2+8=12.2

Answer:  B=4.2

Step-by-step explanation:

b+8=12.2

Subtract 8 from both sides

b+8-8= 12.2 - 8

Simplify

b=4.2

The Reflexive property of congruence can be used to prove

ΔPQR≅ΔPSR .

Given:

∠QPR≅∠SPR

∠PQR≅∠PSR

What is Reflexive property of congruence ?

In geometry, the reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself.

We learned that the reflexive property of equality means that anything is equal to itself. The formula for this property is a = a. This property tells us that any number is equal to itself. For example, 3 is equal to 3.

PR≅PR (Reflexive property of congruence)

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.(AAS theorem)

Hence, ΔPQR≅ΔPSR.

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The solutions are all the points inside the shaded region:

(1, 0.5) , (2,-1) and (2.5, -2)

The volume of the prism is 21 * 5 = 105 cubic feet.

To find the volume of a prism with a triangular base, you need to follow these steps:

1. Determine the area of the triangular base: Since the base is a right triangle with leg lengths of 6 feet and 7 feet, you can use the formula for the area of a right triangle: (1/2) * base * height. In this case, the area would be (1/2) * 6 * 7 = 21 square feet.

2. Multiply the area of the triangular base by the height of the prism: The prism is 5 feet tall, so the volume can be calculated by multiplying the area of the base (21 square feet) by the height (5 feet).

Thus, the volume of the prism is 21 * 5 = 105 cubic feet.

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Answer:

\(\underline{\boxed{\tt \angle x=75^{o}}}\)

Step-by-step explanation:

We know that all angles of a triangle always add up to 180°.

\(\angle BDH+\angle DBH+\angle DHB=180^o\)

\(39^o+36^o+\angle DHB=180^o\)

\(\angle DHB=105^o\)

Now, ∠DHB & ∠x are supplementary angles because they form a straight line.

\(\angle DHB+\angle x=180^o\)

\(105^o+\angle x=180^o\)

\(\angle x=75^o\)

Answer: 75°

Step-by-step explanation: it’s right on khan (picture for proof)

Answer:

10 : 3 , 1 : 3 , 12 : 1

Step-by-step explanation:

before simplifying the ratios both must be in the same units of measure.

(a)

1 litre = 1000 ml

2 litres : 600 ml

= 2000 ml : 600 ml ( divide both parts by 200 )

= 10 : 3

(b)

1 day = 24 hours

8 hr : 1 day

= 8 hr : 24 hr ( divide both parts by 8 )

= 1 : 3

(c)

1 Km = 1000 m

3 Km : 250 m

= 3000 m : 250 m ( divide both parts by 250 )

= 12 : 1

Answer:

x=26.8 meters

Step-by-step explanation:

sin=opposite/hypotenuse

sin(50)=\(\frac{x}{35}\)

Then, since the "x" is in the numerator, we multiply by 35

sin(50)×35=26.811...

Answer:

degree x π/180 = radian

-----------------------------------------

1) -290° × π/180 = -5.061rad

3) 970° × π/180 = 16.93rad

5) 510° × π/180 = 8.901rad

7) 210° × π/180 = 3.665rad

9) 240° × π/180 = 4.189rad

11) -945° × π/180 = -16.49rad

13) 315° × π/180 = 5.498rad

15) -520° × π/180 = -9.076rad

17) 300° × π/180 = 5.236rad

19) 555° × π/180 = 9.687rad

-------------------------------------------

i hope this helps!

Answer:39.9

Step-by-step explanation:

Answer:

324?

Step-by-step explanation:

Question

What is the distance between the

points (-8, -3) and  (-2, -5)?

Answer:

let the distance between the points be A(-8, -3) = x_1 ,y_1  and B (-2, -5)

= x_2 ,y_2.

Now,

According to the Pythagoras theorem,

Answer:

you are correct

Step-by-step explanation:

Answer:

60×8 = 480 + 140 = 620

80×8 = 640

Answer:

1st place through 1250th. 1250 Divided by top 27% = 337.5

Step-by-step explanation:

Hope this helps! Have a great day

Answer:

a=76 b=83

Step-by-step explanation:

for a. we divide 6688(area) by 88 to find the width bc 88*w=6688

6688/88 is 76 so a=76

Since 312 is perimeter we have to subtract 73 twice and then divide that by 2 bc 73+73+L+L=312

(312-73-73)/2=83 so b=83

Answer: 4

Step-by-step explanation:

The degree is the largest exponent on the variable.

4

The degree is:

Work/explanation:

I will start by defining what a degree is. When talking about polynomials, the degree of a polynomial is simply the highest exponent of the polynomial.

So, let's quickly check the exponents of the polynomial.

The exponent of the term \(\sf{12x^4}\) is 4;

the exponent of the term -8x is 1;

the exponent of the term \(\sf{4x^2}\) is 2;

the exponent of the term -3 is 1.

Clearly, the highest one is 4.

Hence, the degree of the polynomial is 4.

Answer:

i think its 34 thats what i got but im not sure-

Step-by-step explanation:

Answer:

The radius of the track is 32 meters

Step-by-step explanation:

Circumference

The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.

Given a circle of radius r, the circumference of the circle can be calculated as follows:

\(L=2\pi r\)

If we already know the length of the circle, we can solve the above expression for r:

\(\displaystyle r=\frac{L}{2\pi}\)

The distance given around a circular running track is L=200 m, thus:

\(\displaystyle r=\frac{200}{2\pi}=31.830989\ m\)

Rounding to the nearest meter:

r= 32 meters

The radius of the track is 32 meters

The final construction should have a point O at the center, a radius OA of length 4.50 cm, and a circumference of 28.26 cm.

We have,

To construct the circle, we will follow these steps:

- Draw a point O in the center of the page.

- Choose a point on the circumference of the circle and mark it as A.

- Draw a straight line from O to A.

This line will represent the radius of the circle.

Measure the length of OA.

We know that the circumference of the circle is 28.26 cm.

We can use the formula C = 2πr, where C is the circumference, π is approximately 3.14, and r is the radius, to find the length of the radius.

Solving for r, we get:

r = C / (2π)

r = 28.26 / (2 x 3.14)

r = 4.50 cm (rounded to two decimal places)

Using a ruler, draw a line from O to a point 4.50 cm away, in any direction. This line will represent the radius of the circle.

To complete the circle, draw a smooth curve connecting the endpoints of the radius.

Thus,

The final construction should have a point O at the center, a radius OA of length 4.50 cm, and a circumference of 28.26 cm.

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Option 2 allows Ms. Carlton to pay the smallest amount of interest, with a total interest of $548.00 compared to $920.00 for Option 1.

To determine which repayment option allows Ms. Carlton to pay the smallest amount of interest, we need to calculate the total amount of interest paid for each option.

For Option 1, the total amount paid over the 3-year period is:

Total payment = Monthly payment x Number of payments

Total payment = $95.00 x 36

Total payment = $3,420.00

Since Ms. Carlton borrowed $2,500, the total interest paid is:

Total interest = Total payment - Amount borrowed

Total interest = $3,420.00 - $2,500.00

Total interest = $920.00

For Option 2, the total amount paid over the 2-year period is:

Total payment = Monthly payment x Number of payments

Total payment = $127.00 x 24

Total payment = $3,048.00

Since Ms. Carlton borrowed $2,500, the total interest paid is:

Total interest = Total payment - Amount borrowed

Total interest = $3,048.00 - $2,500.00

Total interest = $548.00

Therefore, Option 2 allows Ms. Carlton to pay the smallest amount of interest, with a total interest of $548.00 compared to $920.00 for Option 1.

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