a line passes through the point (10, -9) and has a slope of -3/2. write an equation in slope-intercept form for this line.

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)

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.

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!

Answer:

2/27

Step-by-step explanation:

i think this is the answer.

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:

the answer is A

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:

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:

- 75

Step-by-step explanation:

- 5(15) means - 5 × 15 = - 75

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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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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Another way to write the absolute value inequality |p|<12 is

-12 < p < 12

This is a term in mathematics that refers to numbers considered regardless of the sign. The concept of absolute values is well appreciated in a number line.  In a case where the signs helps on to position the number but do not have influence in the magnitude or size of the number.

Since absolute values considers the magnitude of the number and not the sign. We can see the equation given to represent values from zero to a point just less than 12 as this will have same magnitude to the point from zero to a point just less than negative 12. The sign just gives the direction.

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Answer:

x=9

Step-by-step explanation:

Simplify  7+3x−67+3x−6  to  3x+13x+1.

Subtract 11 from both sides

Simplify  2x+10−12x+10−1  to  2x+92x+9.

Subtract 2x2x from both sides.

Simplify  3x−2x3x−2x  to  xx.

Answer: x=9

Step-by-step explanation:

7+3(x-2)=2x+10

7+3x-6=2x+10

1+3x=2x+10

1+3x-2x=2x-2x+10

1+1x=10

1x=9

x=9

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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Answer:

2,7

Step-by-step explanation:

when y=x similary x= y

[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]

From the given Alex and Joey  hats equation we got Alex has 24 hats Joey has 11 hats.

Given that,

Joey only has 2 times more hats than Alex, who has 2 more. The difference between the amount of hats Alex has and the 5 that Joey has is also 4 times the number of hats Alex has.

We have to discover how many hats each one of them has.

Let Alex has x hats Joey has y hats.

From the given

We get

x=2y+2 ------> equation (1)

x=4(y-5) --------> equation (2)

Equating equation (1) and equation (2)

2y+2=4(y-5)

2y+2=4y-20

2y-4y=-20-2

-2y=-22

y=-22/-2

y=11

Take y=11 in equation (1)

x=2(11)+2

x=22+2

x=24

Therefore,  Alex has 24 hats Joey has 11 hats.

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Question :-  Daisy is making solid spikes for her Halloween costume. the spikes are shaped like right circular cones with base radius of 2 inches and height of 6 inches. if daisy has 360 cubic inches of material for making the spikes, what is the maximum number of spikes she can make ?

Answer:- She can only create a maximum of 14 spikes.

Step-by-step explanation:

Given that :-

To find :-

According to Question,

We have,

For finding the maximum number of spikes,

We have to divide the volume of the material by the volume of the cone, for producing a maximum number of spikes.

So,

        Maximum spikes = Volume of the material / volume of the cone

Now,

      Volume of the material = 360 cubic inches

       Volume of the cone  = [tex]\frac{1}{3}[/tex] πr²h

Where:

       r = radius = 2 in

      h = height = 6 in

      π = pi = 22/7

         =  [tex]\frac{1}{3}[/tex] × [tex]\frac{22}{7}[/tex] × [tex]2^{2}[/tex] ×6

         = 3.14 × 4 × 2

         = 25.12

So,

        Maximum spikes = Volume of the material / volume of the cone

                                      = [tex]\frac{360}{25.12}[/tex]

                                      = 14.33

∴ The number of spikes must be an integer.

∵          Maximum spikes = 14.

Answer:- She can only create a maximum of 14 spikes.

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Answer: Because the initial value is $26.40, the line must pass through this when x is 0. Thus, the answer is either the first or the second equation.

Next, we calculate the difference between the year 2019 and 1998 and substitute it into the value of x.

2019 - 1998 = 21.

Substituting this into the equation:

y = 1.006(21) + 26.40

y = $47.52

Thus, the first option is correct.

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.

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:

I think that the answer is D.

Step-by-step explanation:

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

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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Answer:-12

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

hope it helps

Answer: 3/4

Step-by-step explanation: