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3 years ago

If x=2y - 1 and 2x3y + 2, then x = ?

Mathematics

1 answer:

photoshop1234 [79]3 years ago

7 0

Answer:

the value of x is 7

Step-by-step explanation:

The computation of the value of the x is given below:

Given that

x = 2y - 1...........(1)

2x = 3y + 2.................(2)

Put the equation 1 in equation 2

i.e.

2(2y - 1) = 3y + 2

4y - 2 = 3y + 2

y = 4

So,

x = 8 - 1

= 7

Hence, the value of x is 7

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White raven [17]

Answer:

Step-by-step explanation: Most urban designers incorporate a diagonal street cutting through the regular grid to create interesting spaces, squares, plazas, to provide relief and add character as can be seen at Manhattan Times Square created by Broadway cutting the grid at an angle.

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3 years ago

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What is the area of △ABC?

kirza4 [7]

Answer:
Area = 492.4 m²

Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)

This rule is illustrated in the attached image.

Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees

The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
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Hope this helps :)

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3 years ago

What is the slope of the line through (2,-2)(2,−2)(, 2, comma, minus, 2, )and (9,3)(9,3)(, 9, comma, 3, )? Choose 1 answer: Choo

svp [43]

Answer:

A) $\frac{5}{7}$

Step-by-step explanation:

Use the two-points formula for the slope of a line.

We know that the points (2,-2) and (9,3) are on the line. If (a,b),(c,d) are points on a line then the slope m is defined by the equation $m=\frac{d-b}{c-a}$ . In this case, a=2,b=-2,c=9 and d=3 then the slope is $m=\frac{3-(-2)}{9-2}=\frac{5}{7}$ .

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3 years ago

Please answer these two questions precisely :)

GuDViN [60]

1. A)
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2. C)

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3 years ago

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Calculate the length of sides triangle pqr and determine weather or not triangle is a right angled. P(-4,6) q(6,1) r(2,9)

Tom [10]

$\bold{\huge{\underline{ Solution }}}$

<h3>Given :-</h3>

We have given the coordinates of the triangle PQR that is P(-4,6) , Q(6,1) and R(2,9)

We have to calculate the length of the sides of given triangle and also we have to determine whether it is right angled triangle or not

<h3>Let's Begin :-</h3>

Here, we have 

Coordinates of P =( x1 = -4 , y1 = 6)
Coordinates of Q = ( x2 = 6 , y2 = 1 )
Coordinates of R = ( x3 = 2 , y3 = 9 )

By using distance formula 

$\pink{\bigstar}\boxed{\sf{Distance=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2\;}}}$

Subsitute the required values in the above formula :-

Length of side PQ

$\sf{ = }{\sf\sqrt{ (6 - (-4))^{2} + (1 - 6)^{2}}}$

$\sf{ = }{\sf\sqrt{ (6 + 4 )^{2} + (- 5)^{2}}}$

$\sf{ = }{\sf\sqrt{ (10)^{2} + (- 5)^{2}}}$

$\sf{ = }{\sf\sqrt{ 100 + 25 }}$

$\sf{ = }{\sf\sqrt{ 125 }}$

$\sf{ = 5 }{\sf\sqrt{ 5 }}$

Length of QR

$\sf{ = }{\sf\sqrt{(2 - 6)^{2} + (9 - 1)^{2}}}$

$\sf{ = }{\sf\sqrt{(- 4 )^{2} + (8)^{2}}}$

$\sf{ = }{\sf\sqrt{16 + 64 }}$

$\sf{ = }{\sf\sqrt{80 }}$

$\sf{ = 4 }{\sf\sqrt{5 }}$

Length of RP

$\sf{ = }{\sf\sqrt{ (-4 - 2 )^{2} + (6 - 9)^{2}}}$

$\sf{ = }{\sf\sqrt{ (-6 )^{2} + (-3)^{2}}}$

$\sf{ = }{\sf\sqrt{ 36 + 9 }}$

$\sf{ = }{\sf\sqrt{ 45 }}$

$\sf{ = 3}{\sf\sqrt{ 5 }}$

We have to determine whether the triangle PQR is right angled triangle

<h3>Therefore, </h3>

By using Pythagoras theorem :-

Pythagoras theorem states that the sum of squares of two sides that is sum of squares of 2 smaller sides of triangle is equal to the square of hypotenuse that is square of longest side of triangle

That is,

$\bold{ PQ^{2} + QR^{2} = PR^{2}}$

Subsitute the required values,

$\bold{ 125 + 80 = 45 }$

$\bold{ 205 = 45 }$

From above we can conclude that,

The triangle PQR is not a right angled triangle because 205 ≠ 45 .

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2 years ago

If x=2y - 1 and 2x3y + 2, then x = ?​

If x=2y - 1 and 2x3y + 2, then x = ?