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RUDIKE [14]
3 years ago
7

Solve the equation for y. Then find the value of y for each value of x.3x-7y=13;x= -3, 0, 3

Mathematics
1 answer:
Sidana [21]3 years ago
7 0

When x is -3

3\left(-3\right)-7y=13\quad :\quad y=-\frac{22}{7}\quad \left(\mathrm{Decimal}:\quad y=-3.14285\dots \right)

When x is 0

3\cdot \:0-7y=13\quad :\quad y=-\frac{13}{7}\quad \left(\mathrm{Decimal}:\quad y=-1.85714\dots \right)

When x is 3

3\cdot \:3-7y=13\quad :\quad y=-\frac{4}{7}\quad \left(\mathrm{Decimal}:\quad y=-0.57142\dots \right)

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Which rule is an example of rigid transformation?
GalinKa [24]

We know that

Rigid transformation:

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length.

Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations"

so, it's length must be preserved

now, we will check each option

option-A:

we have (x,3y)

y-value changes but x-value will remain same

It changes length

so, this is not rigid transformation

option-B:

we have (3x,y)

x-value changes but y-value will remain same

It changes length

so, this is not rigid transformation

option-C:

(2x, y+2)

It changes length of x-value

but it is only shifting y-value

so, it changes length

so, this is not rigid transformation

option-D:

Both shifts values

but it's length will always be same

so, this is rigid transformation..............Answer

6 0
3 years ago
Write the equation of a line passing through (6,-2) and perpendicular to -2x + 3y= -6
____ [38]
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.


-2x+3y=-6                 Add 2x in both sides
3y=2x-6                    Divide by 3 in both sides to isolate y
y=2/3x-6/3


The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.

y=mx+b                 Substitute the given point and the previous slope found
-2=(-3/2)(6)+b       Combine like terms
-2=-9+b                 Add 9 in both sides to isolate b
7=b

The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.


4 0
3 years ago
The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder wi
klasskru [66]

The number of times one needs to use the completely filled cone to completely fill the cylinder with water is <u>24</u>.

In the question, we are given that the radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters.

We are asked to find the number of times one needs to use the completely filled cone to completely fill the cylinder with water.

The volume of a cylinder is calculated using the formula, V = πr²h.

The volume of a cone is calculated using the formula, V = (1/3)πr²h.

In both the formulas r is the radius and h is the height.

The volume of the given cylinder using the formula is π(10)²(20) cm³ = 2000π cm³.

The volume of the given cone using the formula is (1/3)π(5)²(10) cm³ = (250/3)π cm².

The number of times one needs to use the completely filled cone to completely fill the cylinder with water =

The volume of the given cylinder/The volume of the given cone,

or, The number of times one needs to use the completely filled cone to completely fill the cylinder with water = {2000π cm³}/{(250/3)π cm²},

or, The number of times one needs to use the completely filled cone to completely fill the cylinder with water = 24.

Thus, the number of times one needs to use the completely filled cone to completely fill the cylinder with water is <u>24</u>.

Learn more about the volume of a cylinder and cone at

brainly.com/question/26263468

#SPJ9

8 0
2 years ago
If a recipe calls for 1.5 tsp salt, how many cups of salt do you need if you are going to make
Alex Ar [27]
All u have to do is 1.5 times 64
4 0
3 years ago
Read 2 more answers
How much is a 15 percent down payment on a purchase of 205,000
insens350 [35]
Change 15% into a decimal

15% = 15/100 = 0.15

multiply 0.15 and 205,000 together

205000 x 0.15 = <span>30750

$30,750 is your answer

hope this helps</span>
6 0
3 years ago
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