Equation of the line passing through (7,5) and (1, 2)​

Answer:

4

Step-by-step explanation:

Finding the mean :

Absolute Mean Deviation of each term :

M.A.D. = 5 + 4 + 10 + 1 + 1 + 6 + 0 + 5 / 8

Answer:

x=6

Step-by-step explanation:

BC=7

x+1=7

x=7-1=6

x=6

Answer: A, C

Step-by-step explanation:

Diagonals of a parallelogram bisect each other, so [tex]4x-7=2x+1 \longrightarrow x=4[/tex]. So [tex]ED=4(4)-7=\boxed{9}[/tex].

Opposite sides of a parallelogram are congruent, so [tex]8y-3=3y+7 \longrightarrow y=2[/tex], so [tex]AD=8(2)-3=\boxed{13}[/tex]

Answer:

Rates of change:

school library: $0.25 per day;

city library: $0.35 per day

| Snapsolve. ... where \(c\) is the total cost and \(d\) is the number of days a book is late. The fees charged by a city library are shown in the table

Step-by-step explanation:

The solutions to the equation -2x² + y = -5 and y=-3x² +5 are  (√2,-1) and (-√2-1) option third is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

We have given expressions:

-2x² + y = -5 ..(1)

y=-3x² +5 ...(2)

From the equation (2) take the value of y and plug it in the equation (1)

-2x²-3x²+5 = -5

-5x² = -10

x = ±√2

Plug this value in the equation (2), we get value of y:

y = -1

Thus, the solutions to the equation -2x² + y = -5 and y=-3x² +5 are  (√2,-1) and (-√2-1) option third is correct.

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Answer:

False

Step-by-step explanation:

I am honestly not a hundred percent sure but I´ll let you know after the test..

Answer:

y = -6/5x - 2

Step-by-step explanation:

The line intercepts the y-axis 2 below 0, and down 6 for every 5 to the right on the x-axis

to get the equation of any straight line, we simply need two points off of it, let's use those points in the picture below.

[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-5)}}}\implies \cfrac{-12}{5+5}\implies \cfrac{-12}{10}\implies -\cfrac{6}{5}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-5)})\implies y-4=-\cfrac{6}{5}(x+5) \\\\\\ y-4=-\cfrac{6}{5}x-6\implies y=-\cfrac{6}{5}x-2[/tex]

Answer:

53.90

Step-by-step explanation:

30.80/8=3.85 (price per pack)

3.85 x 14 = 53.90

Answer:

1.5 meters per second

Step-by-step explanation:

30 ÷ 20 = 1.5

Answer:

65º

Step-by-step explanation:

Angles in a triangle add to 180º so:

180- 44 - 71 = 180 - 115 = 65º

Answer:

Question 6a: [tex]p \leq 16[/tex]

Question 6b: option d

Step-by-step explanation:

Question 6a: [tex]6p \leq 96\\6p/6 \leq 96/6\\p \leq 16[/tex]

Question 6b:

- closed dot since its equal to 16

- p is less than 16 (arrow pointing left)

Answer:

attached image

Step-by-step explanation:

Formula:

Discount = Regular price x (% / 100)        

you divided by 100 to change it into a decimal

Sale Price = Regular price - Discount

Answer:

(i) Breadth = 14 cm

(ii) Perimeter = 176 cm

Step-by-step explanation:

Given,

(i) Breadth = ?

We know that, Area of a rectangle = length × breadth.

Then,

[tex]1036 = 74 \times Breadth\\1036 \div 74 = Breadth\\\boxed{\bf\:14 \:cm = Breadth }[/tex]

(ii) Perimeter of a rectangle = 2 (length + breadth)

Then,

[tex]Perimeter = 2(74 + 14)\\Perimeter = 2(88)\\\boxed{\bf\: Perimeter = 176 \: cm}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

If a= ⅓

Gradients are perpendicular if they are multipled they will equal to - 1

Answer:

2 days

Step-by-step explanation:

Understanding :

Solving :

Answer :

Volume is 471 unit^3

Step-by-step explanation :

Here,

We have :

Substituting the values :

>> V = 3.14 × (5)^2 × 6

>> V = 3.14 × (5 × 5) × 6

>> V = 3.14 × 25 × 6

>> V = 3.14 × 150

>> V = 471

Volume of cylinder = 471 units .

There is no variable unfortunately

We have to change question little bit

#1

#2

Rest are also meaningless as there is no variable

#3

Answer:

90.24 in²

Step-by-step explanation:

Area of the pizza :

⇒ Area (rectangle) + Area (semicircle)

⇒ length × width + π × (radius)²

⇒ 8 x 5 + 3.14 x 4²

⇒ 40 + 3.14 × 16

⇒ 40 + 50.24

⇒ 90.24 in²

The area of a 2D form is the amount of space within its perimeter. The area of the pizza is 65.1327 in².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the pizza = Area of semi-circle + Area of Rectangle

                                   = (π/2)r² + (d×h)

                                   = [(π/2)×4²] + (8×5)

                                   = 25.1327 in² + 40 in²

                                   = 65.1327 in²

Hence, the area of the pizza is 65.1327 in².

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Answer:

hello!!!

300 cupcakes

please read the explanation.. it always helps... trust me...

Step-by-step explanation:

alrighty here it goes...

okay.. so we start by reading the problem (duh) but also underlining the important numbers that we need. yes, it really is that simple, trust me....

okay so the percentage of chocoalte cupcakes was 8% and the amount of vanilla cupcakes was 276.

we start by taking 100% - 8% = 92% so the amount of vanilla cupcakes sold was 276 which is also 92% of the total amount of cupcakes.

so now we need to find out 92% of what number gets us 276.

the percentage formula (in this problem) should be as follows:

92/100 x (total amount of cupcakes) = 276

to solve for total amount of cupcakes you do 276 x 100 then you divide by 92 to get your answer (which is 300)

i hope this helps!!!

Answer:

300

Step-by-step explanation:

Answer: ( −∞ , ∞)

Step-by-step explanation: Any value of x makes the equation true.

All real numbers

original equation

[tex]2(x+1)=2x+2[/tex]

distribute

[tex]2x+2=2x+2[/tex]

solve

[tex]2=2\\\\0=0[/tex]

the answer is 0.

Answer:

The correct option is B.

Step-by-step explanation:

The only given function that is an exponential decay function is;

B. Fx) = 3 • (1.4)^x

Now, the general formula for exponential decay function is;

f(x) = abˣ

where b is the decay factor.

here, we have,

we know that,

Now, the decay factor which we will call the base of the exponent must be greater than 1 .

and, we have,

Also, the exponent x must be negative to be called an exponential decay function.

so, from the given graph we get,

Looking at the given options, only Option B meets the criteria for an exponential decay function.

The only given function that is an exponential decay function is;

B. Fx) = 3 • (1.4)^x

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Answer:

1.31 miles of the race course are uphill

Step-by-step explanation:

Divide 5 × 26.2 miles by 100 and you'll get 1.31 miles.

Hope this helped :)

Hey there!

QUESTION #6.

3x = 27

DIVIDE 3 to BOTH SIDES

3x/3 =27/3

SIMPLIFY IT!
x = 27/3

x = 9

Therefore, the answer should be:

x = 9

QUESTION #7.

5x = 35

DIVIDE 5 to BOTH SIDES

5x/5 = 35/5

SIMPLIFY IT!
x = 35/5

x = 7

Therefore, the answer should be:

x = 7

QUESTION #9.
2x = 24

DIVIDE 2 to BOTH SIDES

2x/2 = 24/2

SIMPLIFY IT!

x = 24/2

x = 12

Therefore, the answer should be:

x = 12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The third angle of the triangle will be ∠B = 71°.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given that:-

The third angle will be calculated as:-

∠A   + ∠C + ∠B = 180

42  +  67  +  ∠B = 180

∠B = 180 - 42 - 67

∠B =  71°

Therefore the third angle of the triangle will be ∠B = 71°.

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Answer:

Step-by-step explanation:

a) 1.8 kg in grams is 1800 g

b) If 6 toys weigh 1800g; then 1 toy weighs 300 g(6:1)

c) If 1 toy weighs 300 g, 4 toys weigh 1200 g and you convert in kg which is 1.2 kg

Answer:

611

Step-by-step explanation:

[tex]\frac{24 customers}{64 staff} = \frac{229 customers}{? staff}[/tex]

Solve for ? by cross multiplying and isolating ?staff.

You will get (64 x 229) / 24

Your answer will be ~ 611.