b. Name three points coplanar with point B.
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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{5} \times \sqrt{12} \times \sqrt{50} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{5} \times \sqrt{2 {}^{2} \times 3} \times \sqrt{2 \times {5}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{5} \times 2 \sqrt{3} \times 5 \sqrt{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 5 \times 2 \sqrt{5 \times 3 \times 2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 10 \sqrt{30} [/tex]

The standard equation of the circle will be (x+5)²+(y+5)²= 145

The center of the circle, which is the midpoint between those two locations, may be found first since you know the diameter endpoints.

formula for the midpoint

= ((x1+x2)/2, (y1+y2)/2)

Given points are - (3, 4), (−13, −14)

The circle's center is at (-5,-5)

Therefore, the circle's equation will take the form (x+5)²+(y+5)²=R², where R is the circle's radius.

The distance between a point on the circle and the circle's center in order to get the radius.

Therefore, let's calculate the distance between (-5, -5) and (-13,-14)

Radius R = √((-13+5)²+(-14+5)²) using the distance formula.

= 12.04

equation will be -

(x+5)²+(y+5)²= 145

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Answer:

This is also known as "Derivative"." in mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus."! hope this helps!

the correct option is:

"On a coordinate plane, an exponential function decreases from quadrant 2, through quadrant 3, into quadrant 4 and approaches y = negative 2. It crosses the y-axis at (0, negative 1)"

Here we have the exponential function:

g(x) = (2/3)^x - 2

Now, remember that for any real number different than zero, we have that:

x^0 = 1

So if we evaluate our function in x= 0 we will get:

g(0) = (2/3)^0 - 2 = 1 - 2 = -1

Then the function passes through the point (0, -1)

With this in mind, we conclude that the correct option is:

"On a coordinate plane, an exponential function decreases from quadrant 2, through quadrant 3, into quadrant 4 and approaches y = negative 2. It crosses the y-axis at (0, negative 1)"

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Answer:

C: The third graph

Step-by-step explanation:

on edge

Answer:

I think that the answer is D.

Step-by-step explanation:

Answer:

the answer is A

Answer:

Below.

Step-by-step explanation:

3x² - 1 = 0

3x² = 1

x² = 1/3

x = ±√(1/3)

  = -1/√3, 1/√3.

So, -1/√3 is a zero of 3x² - 1 .

Yes, x = -1/√3 is a zero of the polynomial 3x² - 1 because substituting the value results in zero, confirming its solution to the equation.

To verify whether x = -1/√3 is a zero of the polynomial 3x² - 1, we need to substitute this value into the polynomial and check if it results in zero.

Given polynomial: 3x² - 1

Now, substitute x = -1/√3 into the polynomial:

3(-1/√3)² - 1

Now, simplify:

3(1/3) - 1

1 - 1

The result is zero. Since the expression evaluates to zero when x = -1/√3, this means that x = -1/√3 is indeed a zero of the polynomial 3x² - 1.

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Answer:-12

Step-by-step explanation:  -4b=48      b=48/-4        b=-12

hope it helps

The expression when s=$125 would be as s/2. the money she gave in charities is $62.50 each.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

WE have been given that Juilan divided his savings equally between two charities. then Julian's savings as 's' =$125

First, we will write the expression;

s/2

Second, substitute the value 125 in for the variable s.

Then simplify by dividing 125 and 2.

=$125 / 2

= $62.50

Hence the  expression when s=$125 would be as s/2. the money she gave in charities is $62.50 each.

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Using the distance between two points formula to calculate the side lengths, it is found that the figures are not congruent.

Congruent figures are figures that have the same outer side lengths.

We are given the vertices for this problem, hence we use the distance between two points formula to calculate the lengths.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

This formula is derived from the Pythagorean Theorem, as the points form a right triangle in the xy-plane, with the hypotenuse being the distance between them.

For Triangle LMK, the side lengths are given as follows:

For Triangle XYW, the side lengths are given as follows:

Due to different side lengths, the figures are not congruent, and nothing can be stated about the transformations that were used.

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Answer:

x = 3

Step-by-step explanation:

Hello!

Solve for x by isolating the variable

The value of x is 3.

Answer:

2,7

Step-by-step explanation:

when y=x similary x= y

Answer:

2 and 12

Step-by-step explanation:

2x3=6

12 x 6=72

6 and 72 is 78

Answer:

2 and 12

Step-by-step explanation:

The  measures are possible for the other two angles are 70 degrees respectively

An isosceles triangle is a triangle that has 2 of its sides and angles to be equal.

Let the measure of the other possible angles be x and y such that x = y

Since the sum of angle in a triangle is 180 degrees, hence;

x+y +40 = 180

x+x+40=180

2x+40=180

2x=180-40

2x = 140

x = 70

x = y = 70 degrees

Hence the  measures are possible for the other two angles are 70 degrees respectively

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The correct solution of Laurie's inequality expression is y ≥ 2x – 4

Given,

The inequality expression wrote by Laurie = y > 2x - 4

The graph of the inequality expression that completes this question is added as an attachment

From the attached graph, we can see that the line of the inequality is a thick or closed line

Thick and closed line are represented by the inequality signs ≤ and ≥

Since the upper region is shaded, we make use of ≥ inequality sign

Hence, the correct solution of Laurie's inequality expression is y ≥ 2x - 4

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Answer:

- 75

Step-by-step explanation:

- 5(15) means - 5 × 15 = - 75

The answer is expressed in terms of unit vectors  x^ and y^ as B = B (cos θ  x ^ + sin θ  y ^)

For expressing the magnetic field B in terms of vectors we need to know the magnitude of the magnetic field and the angle between them.

the angle we have is with respect to the positive side of the x-axis, let's use trigonometry.

cos θ = Bₓ / B

sin θ =  / B

Bx = B cosθ

By = B sinθ

hence the resulting vector is

 B = Bₓ i ^ + [tex]B_{y}[/tex] j^

The unit vectors are

x ^ = i ^

y ^ = j ^

The answer is expressed in terms of unit vectors  x^ and y^ as B = B (cos θ  x ^ + sin θ  y ^)

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The description and definition and values of the sequence are;

a. Each term of sequence A is produced from the previous term by multiplying the previous term by 2

b. Each term of sequence B is produced from the previous term by adding 10 to the previous term

c. [tex] A(n) = \frac{1}{2} \times 2^{(n-1)} [/tex]

d. B(n) = 2 + (n-1) × 10

e. B(9) > A(9)

A sequence is series of objects that follow each other in a particular order.

a. The terms of sequence A are;

1/4, 1/2, 1, 2, 4

Therefore, each term is produced from the previous term by multiplying the previous term by 2 as follows;

1/4 × 2 = 1/2,

1/2 × 2 = 1

1 × 2 = 2

2 × 2 = 4

b. The values in sequence B are;

2, 12, 22, 32, and 42

Therefore, each term is produced from the previous term by adding 10 to the previous term as follows;

c. The definition of the nth term of sequence A is found using the formula for a geometric progression as follows;

nth term of a GP is; A(n) = a•r^(n-1)

Where;

a = The first term = 1/4

r = The common ratio = 1/2/(1/4) = 2

The nth term of sequence A is therefore;

d. The definition of the nth term of sequence B is found using the formula for a arithmetic progression as follows;

nth term of a AP is; B(n) = a + (n-1)•d

Where;

a = The first term = 2

d = The common difference = 12 - 2 = 10

The nth term is therefore

B(n) = 2 + (n-1) × 10

e. The value of A(9) is therefore;

[tex] A(9) = \frac{1}{2} \times 2^{(9-1)} = 64 [/tex]

Which gives; A(9) = 64

The value of B(9) = 2 + (9-1) × 10 = 82

B(9) = 82

Which gives;

B(9) = 82 > A(9) = 64

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The plane can fly 384 miles in 3/5 hours.

An airplane can cruise at 570 miles per hour.

We have to find the distance travelled by airplane in 4/3 hours.

Distance = Speed x Time

Distance = 640 x 3/5

Distance = 128 x 3

Distance = 384 miles

Hence, The plane can fly 384 miles in 3/5 hours.

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$32 money will she have after five bets.

What  is a linear equation?

starting amount = $1

she doubles her money on her each bet.

So, when she makes her first bet , her money doubles and keep doubling

on every bet of the previous amount .

Money she makes on her first bet =  2 * 1 = $2

Money she makes on her second bet =  2 * 2 = $4

money on third bet = 2 * 4 = $8

money on fourth bet =  2 * 8 = $16

money on fifth bet =  2 * 16 = $32

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It would take 21 8/ 12 seconds to fill 2 tires

Proportion can be defined as the comparison between two numbers or elements

It is also an equation with two ratios draw equal to each other.

From the information given,

If 31/ 3 tires (10/ 3 ) tires is filled in 3 1/4 seconds ( 13/ 4)

Then 2 tires = x seconds

cross multiply

x = 13 / 4 × 2 ÷ 10/ 3

x = 26/ 4 × 3/ 10

x = 260/ 12

x = 21 8/ 12 seconds

Thus, it would take 21 8/ 12 seconds to fill

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Answer: 2(a-9)

Step-by-step explanation:

2a-18

then factor

which leads to 2(a-9)

Answer: 2(a-9)

Step-by-step explanation: Factor out 2 from the expression 2(a-9)

Answer:

subtract 6 from 3 and a is -3

Step-by-step explanation:

Answer:

a= -3

Step-by-step explanation:

a=3-6

a=-3

You can make 106.67 L of 25% v/v acid solution by mixing 6.67 L of pure acid with 100 L of 20% v/v acid solution.

Acids are a type of chemical that can either absorb electrons or give off protons or hydrogen ions. An anion and a cation can form in water when a hydrogen atom that is bonded to an acid releases (dissociates). How acidic a substance is and how acidic its solution pH is depends on how many hydrogen ions it produces.

The word acid stems from the Latin words acidus or acere, which suggest "sour," because one of the characteristics of acids in water is a sour taste (e.g., vinegar or lemon juice).

How thoroughly an acid splits into its ions after being dissolved in water indicates whether it is strong or weak. A strong acid, like hydrochloric acid, completely dissociates into its ions in water.

100 liters * (20/100) = 20 liters acid

Let's assume that the number x represents the amount of pure acid you need to add to your initial solution. The volume of acid will increase by x because you are working with pure acid.

V(acid) = 20 +x

V(solution) = 100+ x

As a result, the percent concentration by volume of the target solution will be equal to

{V(acid)/V(solution)} * 100 = 25%

{(20+x)/(100+x)} * 100 = 25%

(20 +x) 100 = 25(100+x)

2000+100x = 2500 + 25x

75 x = 500

x = 6.67 liters

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Answer:

Question 1:

Question 2:

Step-by-step explanation:

Question 1:

options

Solving notes:

As x decreases without bound, f(x) does NOT approach zero.

As x decreases without bound, f(x) does NOT approaches the line y = 4.

_________________________________________________

Question 2:

options

Solving notes:

As x increases without bound, f(x) does NOT approach the line y = 6.

As x decreases without bound, f(x) does NOT increase without bound.

The leading term, the degree of the polynomial is  −6x3 is 3rd degree and coefficient −6.

Option (C) is correct.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables .It is  is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

Given:

The given expression is

−6x3

We have to find the  polynomial by degree and tell the leading coefficient.

According to given question we have

The leading term of a polynomial is the term with the highest degree.

The leading coefficient of a polynomial is the coefficient of the leading term.

The degree of a polynomial is the highest degree of its terms.

Hence, the leading term, the degree of the polynomial is  −6x3 is 3rd degree and coefficient −6.

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Step-by-step explanation:

To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.