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What is the equation in point-slope form of a linear equation with a slope of 5 and a point on the line of (-2,3)?

A. y+5= 3(x + 2)
B. y-3 = 5(7+2)
C. y + 3 = 5(x - 2)
D. y + 2 = 5(x – 3)

Answer:

(-5, 3)

Step-by-step explanation:

x = -5

-5x - 10y = -5

Subsitute for x = -5

-5(-5) - 10y = -5

25 - 10y = -5

subtract 25 from both sides

-10y = -30

divide both sides by -10

y = 3

Answer:

48/3=18

Step-by-step explanation:

It looks like there's a list of answers missing, but any answer that most simply shows that 48 can be divided by 3 would be right (the answer is an example).

Answer:

12p = 48

Explanation:

There are 48 photos total, so multiply 12 pages, times the number of photos on each page to find the total number of photos.

Using the principle of probability, the estimated number of times Jessica will be on time is 34.

Given the Parameters :

The best estimate for the number of times Jessica will be on time can be calculated thus :

Hence, we have ;

Mean number of times = (0.64 × 53)

Mean number of times = 33.92

Hence, the estimated number of times Jessica will be on time is 34.

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Answer:

Step-by-step explanation:

ΔABE ~ ΔACD

In similar triangles, corresponding sides are in same ratio.

[tex]\dfrac{AE}{AD}=\dfrac{AB}{AC}\\\\\\\dfrac{12}{18}=\dfrac{9}{9+x}[/tex]

[tex]\dfrac{2}{3}=\dfrac{9}{9+x}[/tex]

Cross multiply,

2*(9+x) = 3*9

2*9 + 2*x = 27

18 + 2x = 27

       2x = 27 - 18

       2x = 9

          x = 9/2

x = 4.5

Answer:

4=11

$19.25=15

30=$38.75

Answer:

They intersect 4 times.

Step-by-step explanation:

When graphed, the first equation is a circle with a center resting at (0,0)

The second equation intersects the circle at (-3.7,3.3), (3.7,3.3), (3.7,-3.3), (-3.7,-3.3)

Answer:

y = 8

Step-by-step explanation:

y = x + 5

Next : Plug in 3 for x (because x = 3)

y = 3 + 5

y = 8

Hope this helps!

Answer:

-  0.092g

- 0.979g

- 0.983g

Explanation: 0.83 > 0.979 > 0.092

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Sample lost is equal to ~

If we arrange it in order from least weight lost to most weight lost, we will get ~

Answer:

11

Step-by-step explanation:

to find the area of a square: base times height, we know that all sides of a square are the same. So, 11*11

=121, the answer is 11

Answer:

11 in.

Step-by-step explanation:

The canvas has the shape of a square.

The area of a square is the side times the side, but since in a square, all sides have equal lengths, then the area of a square is the square of the side.

You are given the area. You need to find the side.

The area is the square of the side, so the side is the square root of the area.

side = √area

side = √(121 in.²)

side = 11 in.

a) The linear system as a matrix equation in the form AX= B as

[tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex] [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

b) The solution set is {x = 2, y = -4, z = -2}.

Given that A⁻¹ = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex],

To find the matrix equation in the form AX = B, multiply both sides of the equation by A⁻¹:

A⁻¹(A⁻¹X) = A⁻¹B

X = A⁻¹B

Therefore, the linear system as a matrix equation in the form AX = B is:

[tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex] [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

2. The given system of equations can be represented as:

                                    A = [tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex]

                                    X  = [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex]

                                    B = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

Using the given inverse of A:

A⁻¹ = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex]

Multiply A⁻¹ by B to solve for X:

[tex]X = A^{(-1)} B[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex]   = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex]  [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

Performing the matrix multiplication:

|  x  | =  | (-1)(0) + (1)(-2) + (1)(4)|   |  2  |

|  y  | = | (-2)(0) + (3)(-2) + (2)(4)|  | -4  |

|  z  |   | (2)(0) + (-2)(-2) + (-1)(4)|   | -2  |

Therefore, the solution set is {x = 2, y = -4, z = -2}.

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Answer:

1:15

Step-by-step explanation:

4 and 60 have the GCF of 4. So, if you divide both sides by that factor, you would get 1:15. Hope this helped :)

12

Hope it helps!!!!!!!

Answer:

x = 5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x+2=2(x+6)

Step 1: Simplify both sides of the equation.

4x+2=2(x+6)

4x+2=(2)(x)+(2)(6)(Distribute)

4x+2=2x+12

Step 2: Subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

Step 3: Subtract 2 from both sides.

2x+2−2=12−2

2x=10

Step 4: Divide both sides by 2.

[tex] \tt \: \frac{2x}{2} = \frac{10}{2} [/tex]

Result:

x = 5

Answer:

$28

Step-by-step explanation:

42 percent is equivalent to 42/100, which is equivalent to the decimal representation of .42

Multiplying .42 by the price will give the percentage of the price:

68.89 * .42 = 28.7

28.7 is closest to 28

Answer:

the ancwer is 18 in.

Step-by-step explanation:

thanks googel

The greatest possible value for the length of the third side is 8.9 .

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

According to the question

One side of a triangle has length 6 in. and another side has length 3 in.  

Let side be a, b, c  

a = 6 inches

b = 3 inches

Now,

According to the Triangle Inequality theorem

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

a + b > c

6+3 > c

9 > c

a + c > b

i.e

6+c > 3 ( Not possible )

b + c > a

3 + c > 6

c > 3

or

difference of two sides <c< sum of two sides, will give you the possible length of a triangle.

Therefore, 6−3<c<6+3

The third side is between 3 and 9 .

Hence, the greatest possible value for the length of the third side is 8.9 .

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Answer:120

Step-by-step explanation:120 x 5 =6.000=6000

Answer:

If we substitute a and b to equal 6 for example

it would be

√

6

2

+

6

2

it would equal 8.5(1.d.p) as it would be written as

√

36

+

36

giving a standard form as

√

72

However if it was

√

6

2

+

√

6

2

it would equal 12 as the

√

and

^

2

would cancel out to give the equation 6+6

Therefore

√

a

2

+

b

2

cannot be simplified unless given a substitution for a and b.

I hope this isn't too confusing.

Step-by-step explanation:

Answer:

– 15q6 + 18q5 - 13q4 - 15q3 + q2 + 9

Step-by-step explanation:

(18q5 – 17q3 + 9 – 15q6) – (–2q3 – q2 + 13q4)

(18q5 – 17q3 + 9 – 15q6) +2q3 + q2 - 13q4

18q5 – 17q3 + 9 – 15q6 +2q3 + q2 - 13q4

18q5 - 15q3 – 15q6 + q2 - 13q4 + 9

– 15q6 + 18q5 - 13q4 - 15q3 + q2 + 9

Answer and Step-by-step explanation:

This equation is linear because the slope is changing at a constant rate.

Write in standard form:

Standard form on an equation is written like so: Ax + By = C

First combine the y-values.

12x = -3y

Now add 3y to both sides of the equation.

12x + 3y = 0   <-- This is the answer (equation) in standard form.

#teamseas #PAW (Plant And Water)

I hope this helps!

Step-by-step explanation:

sum of three angles in a triangle is 180

55+35+x=180

90+x=180

x=180-90

x=90

Answer: Is 6

Step-by-step explanation: Because 1 mile = 1/2. Is this helpful?

Answer:

Step-by-step explanation:

101 degrees

Answer:

70/10 = 7

70/7 = 10

10-7 = 3

There are 3 more teams would the counselor make if he divides the students into teams of 7.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

There are 70 students at a summer camp.

A counselor divides the students into teams of 10.

Let x be the total number of members in the final team:

For the first division = 70/10 = 7

= 70/7 = 10

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

x = 10 - 7 = 3

Thus, there are 3 more teams would the counselor make if he divides the students into teams of 7.

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Answer:

12%

Step-by-step explanation:

You subtract 336 from 300 which will give you 36, then you divide 36 by 300 and you will get .12 which is 12%

Answer:

Step-by-step explanation:

Step-by-step explanation:

1.75×13

=22.75

that means You can afford 13 pencils