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Anastasy [175]
4 years ago
10

Summarize a strategy that can be used to graph Py+1=Qx

Mathematics
2 answers:
Veseljchak [2.6K]4 years ago
6 0

Answer with explanation:

The given equation is

→  Py+1=Qx

→Qx-P y=1-----(1)

The given equation is equation in two variable , which represents a line.

To draw a line you need two distinct points.

Put, x=0, in equation 1

Gives, -Py=1

y=\frac{-1}{P}

Put, y=0, in equation 1

Qx=1

x=\frac{1}{Q}

So, the two points which we have to join to graph this equation is             (\frac{1}{Q},0) \text{and} (0,\frac{-1}{P}).

Anna007 [38]4 years ago
3 0
You would need to get y be itself to make an equation so you would first subtract 1 from both sides--
Py = Qx - 1
Then you would need to divide both sides by P to have y by itself--
y = Qx-1/P
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Vignesh owns a cottage in the shape of a cube with each edge of length 26 feet. The roof is in the shape of a square pyramid and
3241004551 [841]

Answer:

Step-by-step explanation:

The shape of the cottage is cube

The edge of the cube is of length is 26ft

L_1 = 26ft.

The roof is in form of a square with with length 17ft.

L_2 = 17ft.

The roof is made up of 4 congruent isosceles triangles. Since the roof extends 2 ft over the edge of the cottage on each side, then the base of each triangle is 26 + 2 = 28 ft.

L_2 = 28 ft

Then, area of the roof is

A = 28²

A = 784 ft²

The triangular pyramid.

The triangular has four sides

Then,

Each of the area can be calculated using

A = ½ × b × h

Then, the four area of the triangular pyramid

A_total = 4 × ½ × b × h

A_total = 2 × b × h

The base of the triangle is 28ft.

The calculate the height of the triangle

Let's calculate the area of one of the triangles and then just multiply by 4. See attachment. Drop a perpendicular from the vertex of a triangle to its base. We now have the triangle broken up into two right triangles. The hypotenuse is 17 ft and one of the legs of the right triangle is 28 / 2 = 14 ft. Then the height is using Pythagoras theorem

a² = b² + c²

17² = 14² + h²

17² - 14² = h²

h² = 93

h = √93

Then, the area of the triangular pyramid is

A = 2 × b × h

A = 2 × 28 × √93

A = 540.04 ft²

Then, the area of the pyramid is approximately 540 ft², since the base of the pyramid cannot be seen.

But if we include the base, then, the total surface area is

A_t = A_triangular + A_base

A_t = 540 + 784

A_t = 1324 ft²

4 0
3 years ago
SOMEONE PLEASE HELP ME I WILL GIVE BRAINLY
xxMikexx [17]
C have a wonderful day and good luck with school :)
3 0
3 years ago
Read 2 more answers
Jessica fills a cube shaped tank that has an edge of 70 cm with water from a tap. Water flows into the tank at a rate of 7L per
daser333 [38]

The volume of the tank is (70 cm)³ = 343,000 cm³.

Now,

1 mL = 1 cm³

1 L = 1000 mL

so we convert the given rate to

\dfrac{7\,\rm L}{1\,\rm min} \cdot \dfrac{1000\,\rm mL}{1\,\rm L} \cdot \dfrac{1\,\mathrm{cm}^3}{1\,\rm mL} = \dfrac{7000\,\mathrm{cm}^3}{1\,\rm min}

Then the time it will take to fill up the tank is

343,000\,\mathrm{cm}^3 \cdot \dfrac{1\,\rm min}{7000\,\mathrm{cm}^3} = \boxed{49\,\rm min}

6 0
2 years ago
The point (1,-1) is on the terminal side of angle theta in standard position what are the values of sine cuisine and tangent of
pickupchik [31]
\bf \textit{terminal point }\implies 
\begin{array}{lclcll}
(&1&,&-1)\\
&\uparrow &&\uparrow \\
&x&&y
\end{array}
\\\\\\
sin(\theta)=\cfrac{y}{r}
\qquad 
% cosine
cos(\theta)=\cfrac{x}{r}
\qquad 
% tangent
tan(\theta)=\cfrac{y}{x}\\\\
-----------------------------\\\\
\textit{so, what's the radius "r"?}\implies r^2=x^2+y^2\implies r=\sqrt{x^2+y^2}
3 0
3 years ago
Twice the sum of consecutive numbers n and n + 1 is 510. What is the smaller number?
guajiro [1.7K]

Answer:

The smaller number is 127

Step-by-step explanation:

Lets write the given problem in equation form

sum of consecutive numbers n and n + 1 = n + n + 1 = 2n + 1

now we find twice of the sum of consecutive numbers n and n + 1

2*(2n + 1) = 4n + 2

given that

twice the sum of consecutive numbers n and n + 1 is 510

thus,

4n + 2 = 510

=> 4n = 510 -2 = 508

=> n = 508/4 = 127

Thus, the numbers are n = 127

n+1 = 127 + 1 = 128

the smaller number is 127

4 0
3 years ago
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