Find the distance between Point A (9, -3) and Point B (16,
7), correct to 2 decimal places.

Answer:

It equals 77 degrees

Answer:  [tex]x \le 9[/tex]

x is less than or equal to 9

on a keyboard you would write x <= 9

===========================================

Explanation:

We have a closed circle at x = 9. This means we include this endpoint as part of the shaded region. We will have "or equal to" as part of the inequality sign.

We also have "less than" as part of the inequality sign since we shade to the left. Values in the shaded region (eg: 2, 3, and 4) are either less than 9 or equal to 9.

So that's why the graph represents [tex]x \le 9[/tex]

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Extra info:

If you want to write that in interval notation, then you would say [tex](-\infty, 9][/tex]

The curved parenthesis says to exclude the endpoint. We can't ever reach infinity so we cannot possibly include it as a number.

The square bracket says to include the endpoint.  

Answer:B

Step-by-step explanation:Why because kinetik energy is moving and since its a curve line instead of straigh the speed will decrease

Sorry if I am wrong

Based on the First image, the correct option is the fourth image while based on the second image, the correct option is the fourth image also.

Given that the pre-image is rotated in the direction of the arrow as seen an the first image.

It is required to find the image formed also in that given direction.

Based on the fact that the arrow is rotating counter-clockwise, we get that, the shape of the pre-image will also rotate upwards towards the left hand side of the image shown.

So, based on the options (Taking the 1st image as pre-image), we have,

The fourth image where the shape is at the highest height will be the the fourth image after rotating the pre-image.

Learn more about image construction  from

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Answer:

f(x) → f(x - b) means shift the function b units to right

Therefore x² → (x - 2)² means the function is moved 2 units to the right.

f(x) → a f(x) means a vertical stretch

Therefore (x - 2)² → 2(x - 2)² means the function stretched vertically by a scale factor of 2.

f(x) → f(x) + b means shift the function b units up

Therefore 2(x - 2)² + 1 means the function is moved 1 unit up.

Attached diagram:

f(x) is shown in black, g(x) is shown in red.

Points to help plot graph f(x):

(-3, 9)   (-2, 4)   (0, 0)   (2, 4)   (3, 9)

Points to help plot graph g(x):

(0, 9)  (2, 1)  (4, 9)

Helena's motions, including the 6 units north, 4 and 1, east, 3 and 3 south gives;

1. Let the coordinates of checkpoint B be (0, 0), using vectors, we have;

[tex]6 \times j \: + 4 \times i - 3 \times j \: + i - 3 \times j = 0 \times j \: + 5 \times i[/tex]

The coordinates of checkpoint C is therefore; (5, 0)

2. The easier way to get to checkpoint C from point B is to go south 5 units.

3. How it is possible to figure out the shortest route is by taking the northwards and eastwards motions as positive numbers, and the motions to the south as negative.

The motions to the north can only be added to the motions to the south (motions in the same straight line) and the motions towards east are to be added to themselves.

Learn more about vectors here:

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Answer:

5, 0

5 units south

adding motions based on direction

Step-by-step explanation:

Answer:

Here is the answer.

Step-by-step explanation:

Answer:

638.33

Step-by-step explanation:

[tex]450(1+.06)^6[/tex]

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Answer:

12

Step-by-step explanation:

perimeter is (a+b) x 2 = 46

a is width and b is length

a=11

(11+b) x 2 = 46

22 + 2b = 46

2b = 24

b = 12 ( length )

Solution:

We know that:

Substitute the width in the expression:

Simplify the LHS:

Subtract 22 both sides:

Divide 2 both sides:

Answer:

3(x-4)=6x-2(x+3)

3x-12=6x-2x-6

3x-12=4x-6

3x-4x=-6+12

-x=6

:.x=-6

✿[tex]\underline{\textbf{\textsf{ \purple{Solution}:- }}}[/tex]

[tex]\sf{\\}[/tex][tex]\sf3(x - 4) = 6x - 2(x + 3)[/tex] [tex]\longrightarrow \sf3x - 12 = 6x - 2x - 6 [/tex] [tex]\longrightarrow\sf3x - 12 = 4x - 6[/tex] [tex]\longrightarrow\sf3x - 4x = 12 - 6 [/tex]

[tex]\longrightarrow\sf -x = 6[/tex]

[tex]\leadsto \underline{\boxed{\mathfrak{ \pink{x = -6} }}} [/tex]

Answer:

If a and b are either both positive integers or both negative integers

Step-by-step explanation:

If a and b are both positive integers (a>0 and b>0), then the product will obviously be a positive number. Additionally, if both terms are negative (a<0 and b<0), the product of two negative integers is positive and will satisfy the condition.

Integers are numbers without decimal points.

The conditions that would make [tex]\mathbf{a \times b > 0}[/tex] are: a, b > 0 or a, b < 0

From the question, we have:

[tex]\mathbf{a \times b > 0}[/tex]

Divide both sides by a

[tex]\mathbf{b > 0}[/tex]

Divide both sides by b

[tex]\mathbf{a > 0}[/tex]

The above means that, for [tex]\mathbf{a \times b > 0}[/tex] to be true, then [tex]\mathbf{a > 0}[/tex] and [tex]\mathbf{b > 0}[/tex]

Another possible condition is that:

[tex]\mathbf{a \times b > 0}[/tex]

Divide both sides by -a

[tex]\mathbf{b<0}[/tex]

Divide both sides by -b

[tex]\mathbf{a<0}[/tex]

The above means that, for [tex]\mathbf{a \times b > 0}[/tex] to be true, then [tex]\mathbf{a<0}[/tex] and [tex]\mathbf{b<0}[/tex]

Hence, the condition that would make [tex]\mathbf{a \times b > 0}[/tex] true is that: a and b have the same sign

Read more about integers at:

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Answer:

Step-by-step explanation:

1) (-1,-6)

The easy way is just plug in the values to see if it's equal to 21

Hello

3 + 5 + 7 = 15

cups of tomato =  105 x 5/15 = 35

Answer:

49

Step-by-step explanation:

sum the parts of the ratio, 3 + 5 + 7 = 15 parts

divide cups of salsa by 15 to find value of one part of the ratio

105 ÷ 15 = 7 ← value of 1 part of the ratio , then

7 parts = 7 × 7 = 49

49 cups of tomato are required

Answer: 1182

Step-by-step explanation:

Answer:  7

Step-by-step explanation:

To find the value of x, we can set the f(x) of each equation equal, so we get

3x - 4 = 17

    + 4    +4

     3x = 21

       x = 7 [Divide 3 by both sides]

Answer:

a>4

Step-by-step explanation:

Answer:

4y⁵

Step-by-step explanation:

xⁿ·xⁿ = xⁿ⁺ⁿ

1). 4y²·y³

2). 4(y²·y³)

3). 4y²⁺³ = 4y⁵

Answer:440

Step-by-step explanation:

Answer:

$12.42

Step-by-step explanation:

so the meal itself was $9.85

9.85*3.3% approximately equals $0.33

9.85+0.33=10.18

10.18*22% approximately equals $2.24

10.18+2.24=12.42

Therefore the answer is $12.42

the right answer is c

Answer:

28.61

Step-by-step explanation:

[tex]tan^{-1} (6/11)[/tex]

Answer:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is the middle value when a data set is ordered from least to greatest.

The mode is the number that occurs most often in a data set.

Step-by-step explanation:

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Answer:

Equation is 4 p-3=11

Step-by-step explanation:

Barbara is buying 4 binders each cost same amount.

Let the cost of 1 binder is '$p'.

So, cost of 4 binders = $4 p.

Now, a coupon that gives her $3 off.

So, Barb needs to pay 4 p-3 dollars.

Barb pays a total of $11 when the value of the coupon is subtracted.

So, we can set up equation as

4 p-3=11

Answer:

B. 7(x − 5)(y + 2)

Explanation:

A. 7(2x − 5)(y + 2) = 14xy + 28x − 35y − 70 (Wrong)

B. 7(x − 5)(y + 2) = 7xy + 14x − 35y − 70 (Correct)

C. 7(x − 2)(y + 5) = 7xy + 35x− 14y − 70 (Wrong)

D.  7(x − 10)(y + 2) = 7xy + 14x − 70y − 140 (Wrong)

2nd one

Let's verify

[tex]\\ \rm\Rrightarrow 7(x-5)(y+2)[/tex]

[tex]\\ \rm\Rrightarrow 7(xy-5y+2x-10)[/tex]

[tex]\\ \rm\Rrightarrow 7xy-35+14x-70[/tex]

Verified

Answer:

a is the correct option

Step-by-step explanation:

The value of the correlation coefficient is -0.993, The correct option is A.

The coefficient used to determine how strong is the relation between the two variables in the data set is the Correlation Coefficient.

The correlation coefficient is determined by using the following formula

[tex]\rm r = \dfrac{ n(\sum xy) - \sum x\sum y}{\sqrt {n\sum x^2 - (\sum x)^2 }\sqrt{n\sum y^2 - (\sum y)^2}}[/tex]

The values of the required data will be calculated from the data given

n = 4 rows

∑x = 42

∑y = 44.37

∑xy = 461.3

∑x^2 = 446

∑y^2 = 494

Putting the values in the equation of correlation coefficient:

r = -0.993

Therefore, the value of the correlation coefficient is -0.993, The correct option is A.

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