What is the slope of the line in the graph?

Answer:

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Step-by-step explanation:

The explicit formula of the arithmetic sequence of the recursive formula

a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where

∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6

→ Compare it with the formula above

∴ a = -1 ⇒ 1st term

∴ d = -6 ⇒ common difference

→ Substitute them in the form of the explicit formula

∵ a[tex]_{n}[/tex]  = -1 + (n - 1)(-6)

∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)

∴ a[tex]_{n}[/tex]  = -1 + -6n - (-6)

∴ a[tex]_{n}[/tex] = -1 - 6n + 6

→ Add the like term

∴ a[tex]_{n}[/tex] = 5 - 6n

∴ The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Answer: -1/10

Step-by-step explanation:

Y2- Y1 over X2 - X1

-4 - - 3 over 5 - - 5

-4 + 3 over 5 + 5

-1 over 10

Answer:

=35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

remove parentheses, then solve

36 - (-4) + 5+ (-10) =

36 + 4 + 5 -10 // -(- turns into a plus. +(- stays the same, 10 remains negative.

35

hope this helps

Answer:

The new figure is not congruent with the old figure. They are similar

Step-by-step explanation:

Transformations

We are given the vertices of rectangle ABCD and the vertices of rectangle A'B'C'D'.

It can be clearly noted all the coordinates of the second rectangle are half the value of the coordinates of the first rectangle.

This type of transformation corresponds to a dilation across the origin with a scale factor of 1/2.

Since the transformed rectangle is smaller than the first one, it cannot be congruent with it.

But since all the dimensions of this smaller rectangle are proportional to those of the bigger rectangle, they are similar.

Result, Rachel can be certain that the temperature is suitable for her cake.

Rachel cannot be certain that the temperature displayed on the oven is suitable for cooking her cake.

The manufacturer's claim of a 5% error on the displayed temperature means that the actual oven temperature can be off by 5% in either direction. To calculate the range of possible actual temperatures, we need to find 5% of 310°C. 5% of 310 = (5/100) * 310 = 15.5°C This means that the oven temperature could be 15.5°C higher or 15.5°C lower than the displayed temperature.

To find the maximum possible temperature, we add the error to the displayed temperature: 310°C + 15.5°C = 325.5°C Since the maximum possible temperature is slightly above 325°C, Rachel cannot be certain that the temperature is suitable for cooking her cake, as it needs to be cooked at a temperature below 325°C. It's important for Rachel to consider using an alternative thermometer or verifying the actual temperature with the oven manufacturer to ensure the cake is cooked at the desired temperature.

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Answer:

3.5

Step-by-step explanation:

If you get more like this just divide the big triangle to the small one. on the same lengths. Example: on this one do 14/4 = 3.5, 10.5/3 = 3.5, 21/6 = 3.5

Hope this helps! :)

thank you love <3 greatly appreciated.

Answer:

no

Step-by-step explanation:

y = -2x + 16

-2 = -2(10) + 16

-2 = -20 + 16

-2 = -4

which is wrong

Plug the point (10,-2) into y = -2x + 16 and solve. If the equation is a true, then yes, it is a point on the equation.

y = -2x + 16 > -2 = -2(10) + 16

Now, solve.

-2 = -2(10) + 16 > -2 = -20 + 16  - Start by multiplying out parenthesis.

-2 = -20 + 16 > -2 = -4 - Add.

-2 = -4

The equation cannot be simplified any further. Since -2 is not equal to -4, we can conclude that no, (10,-2) is not a solution to the equation y = -2x + 16.

Answer: y = -1/3x - 1

Step-by-step explanation:

Slope-intercept = y = Mx + b

M = slope

B= y

Answer:

8

Step-by-step explanation:

To find a slope for a line that is perpendicular to another line, you simply need to take the negative reciprocal of the the original line's slope.  In this case we are already given the slope as the coefficient to x: -1/8.  The negative reciprocal of that is 8/1, or just 8.

Answer: C

Step-by-step explanation: all other statements are true because of CPCTC theorem. Therefore, we can conclude that C is the correct answer

Answer:

C

Step-by-step explanation:

Answer:

18ft

Step-by-step explanation:

2+3+7 = 12 (this means that 108ft is [tex]\frac{12}{12}[/tex])

The shortest side would be [tex]\frac{2}{12}, or \frac{1}{6}[/tex] of 108ft

To find this, we divide 108 by the denominator (6) to get 18ft

We would usually multiply this by the numerator when finding a fraction of an amount, but as the numerator is 1, the answer would stay as 18ft.

The answer is A, square root of 29

Answer:

= desaster

Step-by-step explanation:

Answer:

20 percentile

Step-by-step explanation:

im sorry for your loss with your bad score.

Answer:

A: C=45h+30

B: C=$322.50

Step-by-step explanation:

A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. This information will give you the equation you see above.

B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:

C=45h+30

C=45(6.5)+30

Im using a decimal because it should be clear 1/2=0.5

C= 292.5+30

45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30

This results in the answer of:

C=$322.50

Answer:

It's ( - 4, 5 )

Answer:

10

Step-by-step explanation:

The measure of an angle∠I  is 10 degrees between the 450 cm and 640 cm sides.

The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.

c² = a² + b² − 2ab cos(C)

The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.

In the given triangle ΔHIJ,

Sides:

h = 450 m

i = 210 m

j = 640 m

The angle of ∠I  is 10 degrees between the 450 cm and 640 cm sides.

According to the cosine rule,

j² = h² + i² − 2ab cos(I)

Substitute the values in the Cosine Rule,

450² = 210² + 640² - 2(210)(640)cos(I)

After solving we get the value of  angle ∠I :

∠I = 9.56038°

Rounded to the nearest degree.

∠I = 10°

Thus, the measure of an angle∠I  is 10 degrees.

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Answer: 8.66666666667

Step-by-step explanation:

Answer:

26/3 in the simplest fraction.

Answer:

27.72

Step-by-step explanation:

Answer:

12 pounds of oranges would cost $27.72

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Answer:

A: the addition property of equality and then the division property of equality

Step-by-step explanation:

Answer:10 presents fell off

Step-by-step explanation: to find 2/6 we can start with finding 1/6 because it’s easier. To do that we divide 30 by 6 which equals 5. because 5 is 1/6 5x2 is 2/6 so the answer is 10

Answer:

you put 30 over 1 than you then you 2 over 6 then subtract then

Step-by-step explanation:

so it would look like this

30/1 - 2/6=

Answer:

39°

Step-by-step explanation:

The equation is

3h+72+8h+95=90

11h+167=90

11h=-77

h=-7

So RGK=

8.-7+95

-56+95

39

Answer:

x = √145

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Leg a = 12

Leg b = x

Hypotenuse c = 17

Step 2: Solve for x

Answer:

24

Step-by-step explanation:

Answer:

Angie is thinking of the number 24.

Explanation:

24 can be divided into 8 three times & can be divided by 12 only two times.

Answer:

G 42/6

H 2+5

K 7+0

L 7^1

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

Sum of 2 interior angles= exterior angle so

148=56+h

h= 148-56

Answer:

(x-4) is the common factor

Step-by-step explanation:

Answer:

x-4

Step-by-step explanation: