Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.

The line perpendicular to y =
6
5
x + 2 that passes through (6, −2).

The equation of the line that passes through (6, −2) is y = .

Answer:

The equation is;

y = x/2

Step-by-step explanation:

General form of the equation of a straight line is;

y = mx + c

where m slope

For the given equation , the slope is -2

If two lines are perpendicular, then the product of their slopes is -1

So the slope of the second line will be

-2 * m2 = -1

m2 = -1/-2

m2 = 1/2

Using the point-slope form, we have

y-y1 = m(x-x1)

Here (x1,y1) = (0,0)

y-0 = 1/2(x-0)

y = 1/2x or simply

y = x/2

Answer:

y=

Step-by-step explanation:

Perpendicular means opposite reciprocal of the slope. This means that the slope would change from 2/5 to 5/2 and add a negative, so it is -5/2.

y=-5/2x+b

2=-5/2 (2) +b

7=b

y=-5/2x+7

Answer:

y = 30.12(4) + 3

Step-by-step explanation:

there's 30.12, 4 times (4pizzas) plus an initial, one time fee of 3 dollars. so you'd multiply the 30.12 and (4), then add the 3 dollars one time.

Answer: c

Step-by-step explanation: good luck everyone

Ashley's z-score for the given table is -1.2.

''A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units. The z-score is positive if the value lies above the mean, and negative if it lies below the mean.''

From the given table, we can calculate the mean, median, mode and standard deviation.

Therefore, mean = (75 + 60 + 75 + 100 + 75 + 75 + 75 + 95 + 60 + 65) ÷ 10

= 75.5

Median = middle term when scores are arranged in ascending order

= middle term of {60, 60, 65, 75, 75, 75, 75, 75, 95, 100}

= 75

Mode = number that occurs highest in {60, 60, 65, 75, 75, 75, 75, 75, 95, 100} = 75.

Standard deviation = [tex][\sqrt{(x_1-x)^{2}+(x_2-x)^{2}+........+(x_n-x)^{2}]/n[/tex]

=  [tex][\sqrt{(75-75.5)^{2}+(60-75.5)^{2}+........+(65-75.5)^{2}]/10[/tex]

= [tex]\sqrt{157.25}[/tex]

=12.54

Therefore, Ashley's Z-score = (Ashley's score - Mean)/ Standard Deviation

= (60 - 75.5)/12.54 = -1.2

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Answer:

There are 245 Iguanas in the reptile exhibit

Step-by-step explanation:

There are  35 snakes in the reptile exhibit.

We are also given some information about the number of iguanas in the reptile exhibit. According to the problem, there are 7 times as many snakes as iguanas in the reptile exhibit.

This means that to get the number of Iguanas in the reptile exhibit, we simply multiply the number of snakes by 7.

Iguanas = snakes X 7

Iguanas = 35 X 7 =245 Iguanas

Therefore, there are 245 Iguanas in the reptile exhibit

Answer:

-25.44

Step-by-step explanation:

Answer:

The directional bearing of the boat is N 30º E

Step-by-step explanation:

Let [tex]\vec v = (25, 25\sqrt{3})[/tex], where [tex]\vec v[/tex] is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat ([tex]\theta[/tex]), measured in sexagesimal degrees, is determined by trigonometrical means:

[tex]\theta = \tan^{-1}\frac{v_{y}}{v_{x}}[/tex] (1)

If we know that [tex]v_{x} = 25[/tex] and [tex]v_{y} = 25\sqrt{3}[/tex], then the directional bearing of the boat is:

[tex]\theta = \tan^{-1} \sqrt{3}[/tex]

[tex]\theta = 60^{\circ}[/tex]

In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).

Answer:

A) N 30 E

Step-by-step explanation:

Answer:

I'm pretty sure its -9

Step-by-step explanation:

It takes 6 years to reach $6655.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

The formula written out is "Simple Interest = Principal x Interest Rate x Time."

Given:

Amount= 6655

Principal = 5500

Interest rate= 3.5%

So, Amount= P( 1 +rt)

6655 = 5500 (1 + 0.035t)

6655/5500 = 1 +0.035t

1.21 - 1= 0.035t

0.21 / 0.035 = t

t= 6 years

Hence, it takes 6 years to reach $6655.

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Answer:

1. m=1/2

2. x=4/7

3. t=4

4. y=5

Step-by-step explanation:

1. 5m+4=7m+6

5m-7m=6-5

2m=1

m=1/2

2. -5x+3=2x-1

-5x-2x=-1-3

-7x=-4

x= -4/-7= 4/7

3. 5t-3=3t+5

5t-3t=5+3

2t=8

t=8/2= 4

4. 53y-55= 42y

53y-42y=55

11y=55

y=55/11=5

hope it helps!

Answer:

1. 5m+4=7m+6

Step 1: Subtract 7m from both sides.

5m+4−7m=7m+6−7m

−2m+4=6

Step 2: Subtract 4 from both sides.

−2m+4−4=6−4

−2m=2

Step 3: Divide both sides by -2.

[tex]\frac{-2m}{-2} = \frac{-2}{2}[/tex]

m=−1

_______________________________

2.  −5x+3=2x−1

Subtract 2x from both sides.

−5x+3−2x=−1

Combine −5x and −2x to get −7x.

−7x+3=−1

Subtract 3 from both sides.

−7x=−1−3

Subtract 3 from −1 to get −4.

−7x=−4

Divide both sides by −7.

x= [tex]\frac{-4}{-7}[/tex]

[tex]Faction \frac{-4}{-7}[/tex] can be simplified to [tex]\frac{4}{7}[/tex] by removing the negative sign from both the numerator and the denominator.

x= [tex]\frac{4}{7}[/tex]

_____________________________

3. 5t−3=3t+5

Subtract 3t from both sides.

5t−3−3t=5

Combine 5t and −3t to get 2t.

2t−3=5

Add 3 to both sides.

2t=5+3

Add 5 and 3 to get 8.

2t=8

Divide both sides by 2.

t= [tex]\frac{8}{2}[/tex]

Divide 8 by 2 to get 4.

t= 4

___________________________

4. 3y−55=42y

Subtract 42y from both sides.

53y−55−42y=0

Combine 53y and −42y to get 11y.

11y−55=0

Add 55 to both sides. Anything plus zero gives itself.

11y=55

Divide both sides by 11

y= [tex]\frac{55}{11}[/tex]

Divide 55 by 11 to get 5.

y=5

Answer:

D E F

Step-by-step explanation:

Have a good day :)

Answer:

You can tell if a relation is a function if each input value only has ONE output value. Examples below

Step-by-step explanation:

Answer:

Step-by-step explanation:

The number of people who have two-course meal is (10 - x)

Correct equation is:

Solving for x:

Answer:

Answers:

1) 15x + 12(10 - x) = 141

2) 7 and 3

15x + 12(10 - x) = 141

15x + 120 - 12x = 141

3x = 141 - 120

3x = 21

x = 7

Answer:

Step-by-step explanation:

2x + 2y = 6

-2x + 4y = 24

6y = 30

y = 5

10 - x = 12

-x = 2

x = -2

(-2, 5)

Answer:

B - 500 + 10x = 700

Step-by-step explanation:

It’s not C because there’s nothing to subtract, he’s just gaining. It’s not A because he gains 10 every month, so the x would have to be on the 10, which means it’s B.

Answer:

B-500+10x=700

Step-by-step explanation:

Answer:

..................................................

Step-by-step explanation:

Answer:

x=2.52

Step-by-step explanation:

30.16=17.56+5x

Subtract 17.56 from both sides

12.6=5x

17.56 cancels on the right side

Divide 5 to both sides

5 cancels on right side  

12.6/5=2.52

x=2.52

Answer:

the answer is your dog is getting more action than you

Answer:

A.

Step-by-step explanation:

Answer: The answer is A 3/40

Step-by-step explanation: [tex]\frac{3}{5} :8=\frac{3}{5} * \frac{1}{8} =\frac{3*1}{5*8} =\frac{3}{40}[/tex]

Answer: Exact Form:

m

=

31

12

Decimal Form:

m

=

2.58

¯

3

Mixed Number Form:

m

=

2

7

12

Step-by-step explanation:

Answer: =m+1

Step-by-step explanation:

hope this helped

Answer:

= m + 1

Step-by-step explanation:

3 - 2m + 3m - 2

m + 1

Answer:

60

Step-by-step explanation:

all angles in a triangle measures 180°

Answer:

That's wonderful!

Step-by-step explanation:

I'm really proud of you! I'm 14 (almost 15), and taking sophomore classes right now, and a foreign language. I absolutely regret not taking a second math class this year (Algebra II).

Answer:

y=-8

Step-by-step explanation:

y=6x+(-2)

y=6(-1)+(-2)

y=-6+(-2)

y=-8

Answer:

-3

Step-by-step explanation:

Hope this helps!

Answer:

C

Step-by-step explanation:

28c +12 +5 which is the answer choice C

Answer: At first I though O but you would be able to use A because you are able to make that 9 = to that 8

Step-by-step explanation:

The intersection point tells her the side length that creates an equal perimeter and area.

A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.

Jenny is an architect and is working to find the side length of a room in a house plan she is reviewing.

She knows that she can find the side length from the area using the formula 8 = A.

She graphs the formulas and finds the intersection point.

The intersection point of the two equations represents the solution where the side length satisfies both the equations, giving an equal perimeter and area. Therefore, the intersection point tells her the side length that creates an equal perimeter and area.

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Answer:

Idaho

Step-by-step explanation: