The points 1 , B and ( are (9 , 8) , ( 12, 4) and (4, - 2) respectively
(a) Find
(1)
the gradient of the line through d and B
(¡i)
the equation of the line through C which is parallel to AB
(b) Calculate the length of the line segment
(i)
[21
(11)
BC
[21
(c) Show that AB is perpendicular to BC 121
(d) Calculate the area of triangle ABC
[1)

Answer:

17:53=5:53pm

Step-by-step explanation:

Answer:

[A] x < 2

Step-by-step explanation:

Given:

x - 6 < - 4

Solve:

Add 6 to both sides

Which shown below:

x - 6 < - 4

    + 6  +6

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

x < 2

Hence, the answer is [A] x < 2

Kavinsky

Answer:

Slope = undefined.

Step-by-step explanation:

Given two points:

To Find:

Solution:

Using slope's formulae,

[m denotes slope]

[tex] \boxed{ \rm{m = \cfrac{y_2 -y_1 }{x_2 - x_1} }}[/tex]

According to the question,here:

Substitute them onto the formulae:

[tex] \rm \: m = \cfrac{9 - 3}{2 - 2} [/tex]

Simplify.

[tex] \rm \: m = \cfrac{6}{2 - 2} [/tex]

[tex]\rm \: m = \cfrac{6}{0} = \boxed{ \rm \: undefined}[/tex]

if an expression contains division by 0 , then It's undefined.

So, slope(m) = undefined.

The volume of the small-size box of dog treats will be equal to    V=8654.24 In³

Volume is defined as the space occupied by any body in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid

The volume of the rectangular box will be:-

V=LxWxH

V=314x712x12

So the volume of small size box will be:-

V=2682816÷310=8654.24

Hence the volume of the small-size box of dog treats will be equal to

V=8654.24 In³

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Answer:

2249999.99524

Step-by-step explanation:

The answer would be 2249999.99524

Or just 224999

Sorry for the last answer!

Answer:

[tex]9 < \sqrt{90} < 10[/tex]

Step-by-step explanation:

Since [tex]9^2=81 < 90[/tex] and [tex]10^2=100 > 90[/tex], then [tex]9 < \sqrt{90} < 10[/tex]

Answer:

here is your answer

Step-by-step explanation:

cross multiplication

divide

[tex]\dfrac{x^2y}{2} = \dfrac{(-1)^2 \cdot 5 }{2} = \dfrac{1 \cdot 5}2 = \dfrac 52[/tex]

[tex][6(\cos 70^{\circ} + i \sin 70^{\circ})]^3\\\\=6^3[ \cos ( 3 \times 70)^{\circ} + i \sin ( 3 \times 70)^{\circ}]\\\\=216 [\cos(210^{\circ}) + i \sin( 210^{\circ})]\\\\=216[\cos(2\times 90^{\circ} + 30^{\circ}) + i \sin( 2 \times 90^{\circ} + 30^{\circ})]\\\\=216[-\cos 30^{\circ}-i\sin 30^{\circ}]\\\\=216\left[-\dfrac{ \sqrt 3} 2 - i \cdot \dfrac 12 \right]\\\\=-108\left(\sqrt 3 +i \right)[/tex]

Answer:

BELOW IN BOLD.

Step-by-step explanation:

14,25,97,55,66,28,92,38,94

Arrange these in ascending order:

= 14 25 28 38 55 66 92 94 97

The median = middle number = 55.

First quartile = (25+28)/2 =  26.5.

Third quartile = (92 + 94)/2 =  93.

Interquartile range = 93 - 26.5 = 66.5.

Step-by-step explanation:

m and n are directly linked to each other by a factor.

m×k = n

-12×k = 4

k = 4/-12 = -1/3

m×-1/3 = -3

m = 9

Answer:

x = 7

y = 12

Step-by-step explanation:

The key to solving this problem is understanding the properties of exponents:

If you are multiplying two powers with the same base (in this case the base is 6), the result is the base raised to the power of the two exponents added together.

6^1/3+1/4 = 6^x/y

6^7/12 = 6^x/y

So the product would be 6^7/12

Therefore, the answers are:

x = 7

y = 12

Answer:

[tex]x = 35[/tex]

Step-by-step explanation:

We can use Similar Triangles Ratios to solve for the missing side length. First setup your ratios:

[tex]\frac{42}{6} = \frac{x}{5}\\x = \frac{42}{6} \times 5\\x = 35[/tex]

Answer:

35

Step-by-step explanation:

The sides are in proportion.

[tex](0.0)(1.2)[/tex]

Answer:

5×5=25

8×5÷2=20

25+20= 45

area of a composite 45

Answer:

I believe it would be 15, apologies if its incorrect.

Step-by-step explanation:

The table is an illustration of a linear table, and the constant of proportionality is 1.4

The table is given as:

x 1.3 1.6 1.9 2.2

y 1.82 2.24 2.66 3.08

The constant of proportionality (k) is calculated using:

k = y/x

Using the values on the table, we have:

k = 1.82/1.3

Divide

k = 1.4

Hence, the constant of proportionality is 1.4

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Answer:

Area = 210

Step-by-step explanation:

Given:

To find:

Steps:

A = b · h

= 15 · 14

= 210

Answer:

210 yd²

Step-by-step explanation:

Area of a parallelogram :

Solving using the given values :

Answer:

If it went up it would be: 50596.35 and if it went down it would be: 7556.66

Step-by-step explanation:

Here will be the function if it went up:

20000(1+0.0475)^20

Here’s if it went down:

20000(1-0.0475)^20

Answer: [tex]x^3y^9[/tex]

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): Dot was discarded near "7.".

STEP 1:

Simplify [tex]\frac{y^2}{x}[/tex]

The equation at the end of step 1:

[tex]((x^4)*\frac{y^2}{x} )*y^7[/tex]

Multiplying exponential expressions:

2.1    [tex]y^2[/tex] multiplied by [tex]y^7[/tex] [tex]=y^(2+7)=y^9[/tex]

Final result is [tex]x^3y^9[/tex]

Answer: The final cost would be 68.64

Explanation: Step 1) Convert 22% to a decimal: 0.22

Step 2) Multiply that by the amount (0.22×88=19.36)

Step 3) Subtract from the amount (88−19.36)=$68.64

 Answer $68.64

Answer:

2(3x+4)

Step-by-step explanation:

Since the 2 is outside of the parenthesis, it means that everything inside of the parenthesis is multiplied by 2

2 x 3x = 6x

2 x 4 = 8

There is a + between 3x and 4, which means that, when simplified, 2(3x +4) = 6x + 8

Option 2(3x + 4 ) is correct.

Step-by-step explanation:

=> 2 ( 3x + 4 ) = 6x + 4 .

Answer:

381

Step-by-step explanation:

that's the nearest whole number

Answer:

this is answer

Step-by-step explanation:

To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.

Answer: 0.5

Step-by-step explanation:

    The odd numbers in the spinner are 9 and 7. The non-odd numbers are 8 and 6.

     We will put the wanted outcomes over the total possible outcomes.

2 / 4

1 / 2

1 / 2 = 0.5

             P(odd) is 0.5.

Answer:

The median is 20

Step-by-step explanation:

They are already in order so you would just have to find the middle.......

Hope this helps.......if not then sorry for wasting your time and may God bless you

Answer:

This is your teacher if you do this again, I will contact your parents and you will get in big trouble.

Step-by-step explanation:

Answer:

50.75

Step-by-step explanation:

812 divided by 16 = 50.75

Hope This Helped