What is the sum of 4n² + 2n+ 12

Answer:

The length of the leg is 11 units.

Step-by-step explanation:

The triangle 45 - 45 - 90 theorem states that the length of the hypotenuse is [tex]\sqrt{2}[/tex] times of the length of any of the legs. Hence, we get the following expression:

[tex]h = \sqrt{2} \cdot l[/tex] (1)

Where:

[tex]l[/tex] - Length of the leg, in units.

[tex]h[/tex] - Hypotenuse, in units.

If we know that [tex]h = 11\sqrt{2}[/tex], then the length of the leg is:

[tex]l = \frac{h}{\sqrt{2}}[/tex]

[tex]l = 11[/tex]

The length of the leg is 11 units.

Answer:

its m= 4/5

Step-by-step explanation:

Answer:

[tex]m = \frac{4}{5}[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

slope of line is 2 comparing equation y= mx+c where m is your slope

Answer:

- 1

Step-by-step explanation:

SLOPE/Y-INTECEPT EQUATION

y = mx + b

The "b" is the slope. Any number that is not multiplied by "x" and is not "y" is the slope.

y = 2x - 1

Since the "-1" is not multiplied by "x" and is not "y", then that means it can only be the slope.

Answer:

B

Step-by-step explanation:

This is pretty self explanatory and easy..

Step-by-step explanation:

Given :-

=> n + n +2 = 80

=> 2n + 2 = 80

=> 2n = 78

=> n = 78 ÷ 2

=> n = 39

Answer:

[tex]slope = \frac{(1 - 1)}{( - 16 - ( - 13))} \\ = \frac{0}{ - 3} \\ = 0[/tex]

Answer:

Slope is 0

Step-by-step explanation:

Answer:

The choose (A)

A- (x+3)²+(t+5)²=16

Answer:

A (x + 3)^2 + ( y + 5 )^2 = 16

Step-by-step explanation:

The formula for equation of a circle is (x - h ) ^2 + ( y - k ) ^2 = r ^2

                                                            ( h , k ) represent the coordinates

                                                              r represents the radius

Plug in the numbers ( x - (-3) ) ^2 + ( y - (-5) ) ^2 = 4 ^2

2 negatives make a positive

So the equation would be (x + 3)^2 + ( y + 5 )^2 = 16

You also need to make sure you square the radius

Answer:

A‘‘ (1,6)

Step-by-step explanation:

after a reflection about a horizontal line the x coordinates remain the same

the middle point of the segment AA’ lies on the line so it has y = -1

so we have

(y+y’)/2 = -1

y’ = -2 -y

y‘ = -2 -2 = -4

so A‘ (1,-4)

we can use the same reasoning to find the reflection about y = 1

x‘ = x

(y + y’)/2 = 1

y‘ = 2+4

y’ = 6

A‘‘(1,6)

Answer:

The length of diagonal BD is 11·(1 + √3)

The length of diagonal AC = 22

Step-by-step explanation:

The given data are;

Quadrilateral ABCD = A kite

The length of segment AD = 22

The measure of ∠DAE = 60°

The measure of ∠BCEE = 45°

Whereby, triangle ΔADE = A right triangle, and DE is the perpendicular bisector of AC, by trigonometric ratio, we have;

AE = EC

DE = 22 × sin(60°) = 11·√3

AE = 22 × cos(60°) = 11

∴ AE = EC = 11

BE = EC × tan(∠BCE) = 11 × tan(45°) = 11

The length of the diagonal BD = BE + DE (By segment addition property)

∴ BD = 11 + 11·√3 = 11·(1 + √3)

The length of diagonal BD = 11·(1 + √3)

The length of diagonal AC = AE  + EC

∴ AC + 11 + 11 = 22

The length of diagonal AC = 22.

The Lewis dot model of an atom has three dots. The statement that is true about the atom is it has three valence electrons. The correct option is A.

Lewis dot model or Lewis structure is a method that was given by Gilbert N. Lewis. It was introduced in 1963. The model is made to put dots around the elements. These dots show the valence electron of the atoms. The model was extended by putting lines around the element.

If an atom has three dots around us, it means the element has three valence electrons. The element is lithium. Lithium has three electrons that are lone or valence, which means it can share and donate three electrons.

Thus, the correct option is A. It has three valence electrons regarding true about the atom.

Learn more about the Lewis dot model, here:

https://brainly.com/question/20300458

#SPJ5

Answer:

The speed of the first train is 45 mph and the speed of the second train is 75 mph

Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles

Since the second train overtakes the first at 6:00 pm, hence:

3x + 90 = 5x

2x = 90

x = 45

Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).

Answer:

∠ A ≈ 44.42°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos A = [tex]\frac{adjacent}{hypotenuse}[/tex]  = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{7}[/tex] , then

∠ A = [tex]cos^{-1}[/tex] ([tex]\frac{5}{7}[/tex] ) ≈ 44.42° ( to the nearest hundredth )

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

Explanation:

Use the midpoint formula to find the midpoint of -10 and -4

A = -10 = left endpoint

B = -4 = right endpoint

C = midpoint of A and B

C = (A+B)/2

C = (-10+(-4))/2

C = -14/2

C = -7

The value -7 is exactly midway between -10 and -4, so that's the missing tickmark between those values. Consequently, it also means each gap is 3 units wide (i.e., distance from -10 to -7 is 3 units).

Start at -10 and subtract 3 to move to the left by that amount. Do this three times to follow this pattern:

The blue dot is located at -19

Answer:

231.556

simplifyed?: 232

Answer:

equation of a straight line in slope intercept form is x+y-2=0

Step-by-step explanation:

Answer:

k = 3

Step-by-step explanation:

Given

x² + y² + 6y - 4 = 0 ( add 4 to both sides )

x² + y² + 6y = 4

Using the method of completing the square

add ( half the coefficient of the y- term )² to both sides

x² + y² + 2(3)y + 9 = 4 + 9

x² + (y + 3)² = 13

with k = 3

Answer:

Sorry sorry sorry sorry!! Please forgive me! I need this to pass a very important exam!! Sorry again!! Ily!!

Step-by-step explanation:

Answer:

[tex] {z}^{ \frac{ - 1 + 5}{2} } \div {z}^{ \frac{1}{3} } \\ {z}^{ \frac{4}{2} } \div {z}^{ \frac{1}{3} } \\ {z}^{2 - \frac{1}{3} } \\ {z}^{ \frac{6 - 1}{3} } \\ {z}^{ \frac{5}{3} } [/tex]

Answer:

A= 18

Step-by-step explanation:

Answer:

18 your answer is correct

Step-by-step explanation:

12x3=36

36÷2=18

Answer:

C 70

Step-by-step explanation:

since 2 sides are parallel to each other, so is then the third side, and their these are similar triangles. that means all angles of one triangle are the same in the other.

remember, the sum of all angles in a triangle is always 180 degrees.

so, we know 2 angles. one is 90 degrees, x is 20 degrees, therefore

y = 180 - 90 - 20 = 70

Answer:

The number -20 is rational

Answer:

the answer is irrational!

Step-by-step explanation:

24/48,  20/48,  18/48,  17/48

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

Explanation:

1/3 = 0.333 approximately

2/3 = 0.667 approximately

We're looking for values between 0.333 and 0.667

We can rule out choice A because 1 doesn't fit the description.

Choice C can be ruled out as well because 9/12 = 0.750 isn't between 0.333 and 0.667

--------------------------

Choice B works because all the decimals shown below are between 0.333 and 0.667

Answer:

The three lines that are parallel to the Given line are :

2x + 3y = 2

9y = -6x + 15

3y = -2x + 12

Step-by-step explanation:

The exact question is as follows :

Given - The equation of a line is 2x + 3y = 4.

To find - Select three lines that are parallel to the given line.

A) 2x + 3y = 2

B) 2x + 5y = 15

C) 9y = -6x + 15

D) 3y = -2x + 12

E) 3x - 2y = 15

Solution -

We know that,

If the slopes are the same and the y-intercepts are different, the lines are parallel.

Given that,

The given line is 2x + 3y = 4

⇒3y = -2x + 4

⇒y = -(2/3)x + (4/3)

So,

Slope = -(2/3)

y-intercept = (4/3)

Now,

A.)

2x + 3y = 2

⇒3y =  - 2x + 2

⇒y = -(2/3) + (2/3)

So,

Slope = -(2/3)

y-intercept = (2/3)

By Comparing with the given line's slope and y-intercept

We can see that

slope is same but y-intercept is different

So,

2x + 3y = 2 is parallel to the given line.

Now,

B.)

2x + 5y = 15

⇒5y =  - 2x + 15

⇒y = -(2/5) + (15/5)

So,

Slope = -(2/5)

y-intercept = 3

By Comparing with the given line's slope and y-intercept

We can see that slope is different

So,

2x + 5y = 15 is not parallel to the given line.

C)

9y = -6x + 15

⇒y = -(6/9)x + (15/9)

     = -(2/3)x + (5/3)

⇒y =  -(2/3)x + (5/3)

So,

Slope = -(2/3)

y-intercept = 5/3

By Comparing with the given line's slope and y-intercept

We can see that slope is same and y-intercept is different

So,

9y = -6x + 15 is parallel to the given line.

D)

3y = -2x + 12

⇒y = -(2/3) + (12/3)

So,

Slope = -(2/3)

y-intercept = 4

By Comparing with the given line's slope and y-intercept

We can see that slope is same and y-intercept is different

So,

3y = -2x + 12 is parallel to the given line.

E)

3x - 2y = 15

⇒-2y = -3x + 15

⇒2y = 3x - 15

⇒y = (3/2) - (15/2)

So,

Slope = 3/2

y-intercept = -15/2

By Comparing with the given line's slope and y-intercept

We can see that slope is different

So,

3x - 2y = 15 is not parallel to the given line.

∴ we get

The three lines that are parallel to the given line are :

2x + 3y = 2

9y = -6x + 15

3y = -2x + 12

Answer:

7/8

Step-by-step explanation:

look it up

your wel3

Answer: [tex]\frac{7}{8}[/tex] or 0.875 in decimal form.

Step-by-step explanation:

Okay, so to solve this, the easiest method is to find a common denominator. While we could try using trial and error or if you know your tables really well, I don't so we will just multiply the denominators which is 8 and 4. We then multiply 8 and 4 which is 32.

To convert the fractions we have, we multiply both the numerator and denominator of each, by the multiple that multiplies the denominator to 32.

[tex]\frac{2}{4}[/tex] multiply both 4 and 2 by 8. Now we have [tex]\frac{16}{32}[/tex].

Same thing with the second number. We have [tex]\frac{3}{8}[/tex]. We multiply both the numerator and the denominator by 4. 3*4 is 12, 8*4 is 32.

Now we have [tex]\frac{12}{32}[/tex].

Now that both fractions have common denominators, we can add the numerators. [tex]\frac{16}{32} +\frac{12}{32} = \frac{28}{32}[/tex]

Now we have the answer, [tex]\frac{28}{32}[/tex], but is that it?

No. Now to find the final two answers, we simply [tex]\frac{28}{32}[/tex].

To simplify, we find the Greatest Common Factor of 28 and 32, which in this case happens to be 4. This is the highest number that either of those can be divided by to provide a normal whole number

After solving [tex]\frac{28/4}{32/4} =\frac{7}{8}[/tex]

That is our final answer. [tex]\frac{7}{8}[/tex].

If necessary, you can convert it to decimal form through simple division and end up with 0.875.

Answer:

10.9166666667 or 10 11/12

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

c is the answer

Step-by-step explanation:

Answer:

20/12

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

7.33

Step-by-step explanation:

Answer:

11

Step-by-st1p explanation:

34.5575191895

so circumference for semi circle is 34.56

times that by two u get circumference for circle

which is 69.12

formula for circle =

C=D*pi

so D=C/pi

so D=69.12/pi

approximately = 22

and divide that by 2 to find radius

22/2 =11

11