In triangle ABC below , which of the following can NOT be the length of the missing side?
18 cm
5cm
2cm
35cm
38cm

Given:

The two endpoints of a vector are P = (2, 9) and Q = (4, 14).

To find:

The component form and magnitude of vector PQ .

Solution:

A vector is defined as

[tex]v=\left<x_2-x_1,y_2-y_1\right>[/tex]

Where, [tex](x_1,y_1)[/tex] is the initial point and [tex](x_2,y_2)[/tex] is the terminal point.

Two endpoints of a vector are P = (2, 9) and Q = (4, 14). So, the vector PQ is

[tex]\overrightarrow{PQ}=\left<4-2,14-9\right>[/tex]

[tex]\overrightarrow{PQ}=\left<2,5\right>[/tex]

Component form of vector PQ is [tex]\left<2,5\right>[/tex].

The magnitude of a vector [tex]v=\left<a,b\right>[/tex] is

[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]

The magnitude of vector PQ is:

[tex]|\overrightarrow{PQ}|=\sqrt{2^2+5^2}[/tex]

[tex]|\overrightarrow{PQ}|=\sqrt{4+25}[/tex]

[tex]|\overrightarrow{PQ}|=\sqrt{29}[/tex]

Therefore, the correct option is A.

Answer:

Father's age = 48

Daughter's age = 24

Step-by-step explanation:

Let x be father's age and y be daughter's age.

1st equation:

x = 2y

2nd equation:

(x - 16) = 4(y - 16)

Replacing value of x from 1st equation,

(2y - 16) = 4(y - 16)

2y - 16 = 4y - 64

4y - 2y = 64 - 16

2y = 48

y = 48/2

y = 24

And,

x = 2y

x = 2 x 24

x = 48

8x - x = 64 - 16

7x = 48

Answer:

A

Step-by-step explanation:

The parentheses are switched around, making the answer still the same. However, for Answer choice C, it is Commutative Property because the factors are switched around.

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

Explanation:

The equation shown for choice A is in the form p*(q*r) = (p*q)*r which is the general format for the associative property of multiplication.

In this case, p = 2.5, q = 1/5 and r = 2/3.

The order of p,q,r stays the same while the parenthesis shift around. The stuff in the parenthesis is done first before anything else. Though with multiplication, the order doesn't matter which is why we can freely shift the parenthesis like this.

Addition has a similar rule which says p+(q+r) = (p+q)+r.

Answer:

Step-by-step explanation:

800

2x400

     2x200

            5x40

                5x8

                    2x4

                        2x2

2^4x5^2

Answer:

Hi there!

The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis

I'm sorry if that is not clear enough!

Best wishes,

         Pandora

Step-by-step explanation:

Answer:

as x approaches positive infinity or negative infinity, the degree and the leading coefficient of a polynomial function determines the end behavior of the graph

straight from gogle

Answer:

1 - p

Step-by-step explanation:

Given

[tex]Winning = p[/tex]

Required

Determine the probability of not winning

To do this, we apply the complement rule which is:

[tex]Not\ Winning = 1 - Winning[/tex]

Substitute p for Winning

[tex]Not\ Winning = 1 - p[/tex]

Hence, the expression that June does not win is: 1 - p

Answer:

Check pdf

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

The slope for f(x) is 6, meaning that you for each one x-unit you move, the plot goes up 6 y-units.

This is the same for g(x) but the slope is negative, so the line needs to face downwards. For each one x-unit you move, the plot goes down 6 y-units.

After drawing the two lines, you find that the transformation is a reflection because the lines are perpendicular to each other. They have the same slope, but in different directions.

Answer:

Rs. 200

Step-by-step explanation:

Formula: PTR/100

P=Rs.5000

T=8 years

R=5%

Interest = PTR/100

= (5000 x 8 x 5)/100

= Rs.200

Answer:

2000

Step-by-step explanation:

I=P×R×T

=5000×5/100×8

=25000×8

=200,000/100

=2000

Answer:

Answer is D

Step-by-step explanation:

Answer:

distance would make the most sense

Answer:

Distance

it's because distance cannot be negative, always making it positive, or the absolute value.

Answer:

5+5=10 :D

Step-by-step explanation:

Answer:

huh

Step-by-step explanation:

Answer:

x = -5/2

Step-by-step explanation:

Answer:

[tex] 2(x - 5)\leqslant \\23[/tex]

Step-by-step explanation:

or

[tex]2x - 10 \leqslant 23[/tex]

Answer:

64 yds

Step-by-step explanation:

by proportion, MN is half way to BC, so BC = 2(MN) = 64 yds

9514 1404 393

Answer:

  779.4 square units

Step-by-step explanation:

You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.

One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...

  A = (1/2)r²sin(α)

Since there are n such triangles, the area of the n-gon is ...

  A = (n/2)r²sin(360°/n)

__

For a hexagon (n=6) with radius 10√3, the area is ...

  A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units

£40 and £20

Step-by-step explanation:

let the parts be 2x and x (2:1)

2x+x=£60

or, 3x= £60

or, x= £20

2x=2×£20=£40

x=£20

Answer:

145.8cm squared

Step by step:

16.2 divided by 3 = 5.4cm

In the second line where 2 bricks are horizontal and 2 are vertical:

2x + 3y = 16.2

3y = 16.2 - 2 x 5.4

y = 1/3 x 5.4

y = 1.8cm

Hence, height and length of each triangle is 1.8cm and 5.4cm

Complete length = 16.2 cm

Complete height = 2y + x = 2 x 1.8 + 3.4

                            = 9 cm

Area overall = 16.2 x 9 = 145.8cm squared

Answer:

29.3

Step-by-step explanation:

to find average you find the sum of all the minutes she practiced and divide it by the total amount of day she practiced.

first we have to find the sum of the minutes she practiced:

20+30+40+38+25+22+39+22+26+31

this equation is equal to 293 minutes she practiced in total. Now we have to divide this by the total amount of days she practiced whice according to the data is 10! So:

293/10 =29.3

Answer:

2/8 could be one

Step-by-step explanation:

Step-by-step explanation:

1/4 could be, because

1/4 is smaller than 3/6

1/4 is bigger than 1/8

Step-by-step explanation:

x equals 40

.... good luck!

Answer:

y = 3x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = 6 + c ⇒ c = 3 - 6 = - 3

y = 3x - 3 ← equation of line

Answer:

-42≥-6b

7≤b

The only answer that fits this inequality is 8 1/4, the last choice.

Let me know if this helps!

Answer:

6/8≤m

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

-7/8≤m-13/8

+13/8    +13/8

6/8≤m

Answer:

answer m≥3/4 it is simplified form of 6/8

Step-by-step explanation:

thank i hope that help