Multiply out the brackets:
(m + 2) (m - 2)​

Answer with step-by-step explanation:

If the comparison is 5 cm:6 m, then the numbers would be 5:600. If so, we have to multiply each of the dimensions by 5/600.

7.5 cm = 1/16 m

9 cm = 3/40 m

6 cm = 1/20 m

3.5 cm = 7/240 m

Hope this helped!

Answer:

36.16 miles

Step-by-step explanation:

A recycling truck begins its weekly route at the recycling plant at point A, as pictured on the coordinate plane below. It travels from point A to point B, then points C, D, and E, respectively, before returning to the recycling plant at point A at the end of the day. The truck’s route is illustrated on the coordinate plane below. If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?

Answer:

The distance between two points X([tex]x_1,y_1[/tex]) and Y[tex](x_2,y_2)[/tex] is given as:

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

From the image attached, the coordinates of the plane are:

A(-1, -1), B(1, -1), C(5, 2), D(0,  13), E(-5, 2).

The lengths are:

[tex]|AB|=\sqrt{(1-(-1))^2+(-1-(-1))^2}=2\ units\\ \\|BC|=\sqrt{(5-1)^2+(2-(-1))^2}=5\ units\\\\|CD|=\sqrt{(0-5)^2+(13-2)^2}=12.08\ units\\\\|DE|=\sqrt{(-5-0)^2+(2-13)^2}=12.08\ units\\\\|AE|=\sqrt{(-5-(-1))^2+(2-(-1))^2}=5\ units[/tex]

But 1 mile = 1 unit

Total distance = |AB| + |BC| + |CD| + |DE| + |AE| = 2 + 5 + 12.08 + 12.08 + 5 = 36.16 miles

Answer:

y=2x-5

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(3,1) and (6,7).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (3,1), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=3 and y1=1.

Also, let's call the second point you gave, (6,7), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=7.

Now, just plug the numbers into the formula for m above, like this:

m=

7 - 1

6 - 3

or...

m=

6

3

or...

m=2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(3,1). When x of the line is 3, y of the line must be 1.

(6,7). When x of the line is 6, y of the line must be 7.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=2x+b. b is what we want, the 2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (3,1) and (6,7).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(3,1). y=mx+b or 1=2 × 3+b, or solving for b: b=1-(2)(3). b=-5.

(6,7). y=mx+b or 7=2 × 6+b, or solving for b: b=7-(2)(6). b=-5.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(3,1) and (6,7)

is

y=2x-5

Answer:

4 x -2

Step-by-step explanation:

4 * -2 = -8

-24 / -3 = 8

11 + (-3) = 8

11 - (-3) = 14

Answer:

Factored out is 1/2 or 0.5

Step-by-step explanation:

5k - 4 over 2

Answer:

Sarita’s solution is correct. She made an error in her verification. Sarita was supposed to add the 5 and 7 in the first step.

Step-by-step explanation:

Given the following equation:

The steps to solve it are:

5(x-3)+7(x+4)-73

1. Apply the Distributive property:

5x-15+7x+28=73

2. Add the like terms:

12x+13=73

3. Subtract5 13 from both sides of the equation:

12x+13-(13)=73-(13

12x=60

4. Divide both sides of the equation by 12:

12r/12 = 60/12

x = 5

To verify it, let's substitute  into the equation:

5(5-3)+7(5+4)=73

Evaluating, we get:

5(2)+7(9)=73

10+63=73

73=73

Based on this, we can determine that Sarita's solution is correct, but she made an error in her verification (Observe that 5-3 is not equal to -2 )

Answer:

A. Sarita’s solution is correct. She made an error in her verification.

Step-by-step explanation:

EDGE 2020

Answer:

The answer is 6.25

Step-by-step explanation:

Root 38 is exactly 6.16441400297. That number estimated would be 6.20 since 6.16 is close to 6.20. The closest number to 6.20 is 6.25.

Answer: It's 50

Step-by-step explanation:

3.4 divided by 6.8 is 0.5 and 18-16 (the exponents) is 2. since ur dividing your subtracting the exponents. so then u get 0.5*10^2 but it cant be lower than 1 so u move the decimal in 0.5 one space to the right which then leads you to get 5*10^1 or 5*10 which is 50.

Answer: A

Step-by-step explanation:

19+13x+32

13x=32-19

13x=13

x=1

Answer:

16 bombons de coco

Step-by-step explanation:

A partir da pergunta, somos instruídos a fingir que o número total de bombons (chocolate) que ela fez = 24 bombons

Do total de chocolates que ele fez, 2/3 são de coco.

Portanto, a quantidade que representa os doces de coco é representada como:

2/3 × 24

= 16

Portanto, a quantidade de bombons de coco = 16

Answer:

9

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Let x and y be the total number of questions in part 1 and part 2 exams respectively.

For part 1:

Number of correct question = 4/5 of the total number of question in part 1

[tex]\Rightarrow 16=\frac{4}{5}\times x[/tex]

[tex]\Rightarrow x=20[/tex]

For part 2:

Number of corrected question = 2/3 of total number of question in part 2

[tex]\Rightarrow 16=\frac{2}{3}\times x[/tex]

[tex]\Rightarrow x=24[/tex]

So, the total umbers of the questions on Stephanie's exam

=x+y

=20+24

=44

Hence, the total umbers of the questions on Stephanie's exam was 44.

The rule that describes the transformation is (x, y) → (-x, -y).

Option C is the correct answer.

We have,

From the graph,

A = (-1, -1)

B = (1, -1)

C = (0, -4)

And,

A' = (1, 1)

B' = (-1, 1)

C = (0, 4)

Now,

If we use transformation:

(x, y) → (-x, -y) on each coordinate of A, B, and C.

We get,

A' = (1, 1)

B' = (-1, 1)

C = (0, 4)

Thus,

The rule that describes the transformation is (x, y) → (-x, -y).

Learn more about transformation here:

https://brainly.com/question/12463306

#SPJ7

Answer: B

Proof is 7/6 is more than a whole so it’s the greatest while 1/8 is the least then that leaves 2/3 and 9/10 and 9/10 is greater than 2/3 so the answer should be B

Answer:

Your picture is locked I would fix it but I dont know how.

Step-by-step explanation:

Answer:

y = 1/3x + 26/3

Step-by-step explanation:

Original equation: y = -3x + 2

Perpendicular lines have the "opposite reciprocal" slopes of each other, meaning you flip the numbers and reverse the sign.

Slope of original equation: -3

Slope of perpendicular line: 1/3

How: Reciprocal, flip the numbers: -3/1 to -1/3, then reverse sign -1/3 to 1/3

Then you substitute (-2, 8) into the new equation: y = 1/3x + b

*there's b because you don't know the y-intercept yet

Substitute: 8 = 1/3(-2) + b

8 = -2/3 + b

Add 2/3 on both sides

b = 24/3 + 2/3

b = 26/3

*this is the y-intercept

Therefore, the perpendicular equation is: y = 1/3x + 26/3

Answer:

the answer is B

Step-by-step explanation:

1. convert the mixed number choices to improper fractions

2. type each improper fraction into a calculator

3. see which one comes out as 2.111111111

4. find out that it's B and you'll B happy (see what I did there, it's a pun)

Answer:

linear pair: a pair of angles that equal 180 and make a line

complementary angles: 2 angles that equal 90 degrees

vertical angles: angles that are vertical from each other that equal the same sum

supplementary angles: 2 angles that equal 180 degrees

Step-by-step explanation:

ima sophomore did this a long time ago.

Answer:

7,10,19 and 4,5,9

Step-by-step explanation:

According to the Triangle Inequality theorem, then largest side of a triangle must be smaller than the sum of the smaller sides. For example, in 5,6,8, the largest side is 8, and 5 + 6 = 11, which is larger than 8. 7 + 10 = 17, which is not larger than 19, and 4 + 5 = 9, which is not larger than 9

Answer:

Step-by-step explanation:

Let the number of weeks be x

Then Kendal's CD's

Raymond's CD's

Time when they have equal CD's

Answer:

That is wrong... 7 is not the answer

12 is the real answer

Step-by-step explanation:

Answer:

p = 4√5

Step-by-step explanation:

To solve for P, we can use the Pythagorean theorem.

a²+b²=c²

(8)²+(p)²=12²

64+p²=144

p²=80

√p=√80

p = 4√5

Answer:

207

Step-by-step explanation:

It automatically can not be -207 and -21 because you can't have a negative distance. To find the correct answer between 21 and 207, first you have to add 93 and 114. You do this because -93 is below the number line, so you have to add it to 114. 114 + 93 = 207

207

I hope this helps

Option D, 270 is the answer

Answer:

D

Step-by-step explanation:

Answer: The line is horizontal

Step-by-step explanation:

The slope of a line can be thought of as 'rise over run. ' When the 'rise' is zero, then the line is horizontal, or flat, and the slope of the line is zero. Put simply, a zero slope is perfectly flat in the horizontal direction. The equation of a line with zero slope will not have an x in it

Answer:

two "P" plus four "Q" equals twenty

Step-by-step explanation:

I changed the numbers to words

Answer:

The Answer for a is $175

Step-by-step explanation:

Thats all I know sorry

Answer:

StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet

Step-by-step explanation:

The function is when there are sets of input and output values given and each input value hem has one corresponding output. Input values are unique but output values can be same for more than one input value.

A.........................................

A 2-column table with 5 rows. The first column is labeled x with entries negative 5, negative 3, negative 3, 0, 5. The second column is labeled y with entries 10, 5, 4, 0, negative 10.

Not a function as input values repeated: negative 3

B.........................................

StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet

Yes, it is a function

C.........................................

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 0, 1. The second column is labeled y with entries negative 3, negative 2, negative 1, 0, negative 1.

Not a function as input values repeated: 0

D.........................................

StartSet (negative 12, 4), (negative 6, 10), (negative 4, 15), (negative 8, 18), (negative 12, 24) EndSet

Not a function as input values repeated: negative 12

So correct one is option B

Given that,

The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day.

Solution,

The high temperature was 51°F and the low temperature was 45°F.

Average of high and low temperatures for the day is given by :

[tex]T=\dfrac{51+45}{2}\\\\T=48^{\circ} F[/tex]

Now using formula :

H = 65 - T

H = 65 - 48

H = 17

Hence, there are 17 heating degree days.

Answer:

His gross pay per paycheck is $1558.92

Step-by-step explanation:

$40,532.00 ÷ 52 = 779.461538462

779.461538462 × 2 = 1558.92308

1558.92308 ≈  $1558.92

Answer:

39

Step-by-step explanation:

5(5) - 4(-7) - 14 is what the equation should look like.

Just simplify the expression.