Find value of x.
using geometry

Answer: The equation of a line in the form y = mx + b can be written as y - mx - b = 0. So we can rewrite the equation of the line as 2y - 3x + 5 = 0. This means that the slope of the line is -3/2.

The slope of a line perpendicular to this line would be the negative reciprocal of -3/2, which is 2/3. Let's call the point M (x, y). We know that the line passing through (2, 6) has a slope of 2/3. So we can write the equation of this line as:

y - (2/3)x - b = 0

Substituting the point (2, 6) into this equation, we get:

6 - (2/3)(2) - b = 0

b = 4

So the equation of the line passing through (2, 6) is:

y - (2/3)x - 4 = 0

To find the coordinates of point M, we need to find the point where these two lines intersect. Setting the two equations equal to each other and solving for x and y, we get:

2y - 3x + 5 = y - (2/3)x - 4

5 - 2y = y - (5/3)x + 4

(5/3)x = 3 - y

x = (3 - y) * (3/5)

Substituting this expression for x into one of the original equations, we can solve for y:

2y - 3((3 - y) * (3/5)) + 5 = 0

2y - (9 - 3y)(3/5) + 5 = 0

(10/5)y - (9/5) + 5 = 0

y = (9/5) + (5/5)

y = 2

Substituting this value for y back into the expression for x, we get:

x = (3 - 2) * (3/5)

x = 1

So the coordinates of point M are (1, 2).

Step-by-step explanation:

Answer:

Eexplanation:

1/3y = 9

y/3 = 9

y = 9 × 3

y = 27

Answer:

A.

Step-by-step explanation:

just put it i swear it will help lollllll

Ellie spend of $37.8 for  2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad

Two or more expressions with an Equal sign is called as Equation.

The amount is not given for each hot dog, hamburger and potatos.

But Ellie brought 2 packs of hot dogs ,

3 lbs of hamburger, and

2 lbs. of potato salad

Let us consider each hot dog is $6

Hamburger is $5.6 and potatoes is $4.5

Total amount is 2(6)+3(5.6)+2(4.5)

12+16.8+9

$37.8

Hence, Ellie spend of $37.8 for  2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad

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Step-by-step explanation:

system 1 :

3x + 2y = 7

4x + 7y = 17

system 2 :

12x + 2y = 28

4x + 7y = 17

the first equation in the second system is not a multiple of either equation in the first system, and the second equation in the second system is the same as the second equation in the first system.

thus, the systems are not equivalent.

"12x" gives us the idea what the factor would have to be (4 or 3), if the second equation of the second system would be a multiple of any of the equations in the first system.

as we would have to multiply 3x by 4 to get 12x, and 4x by 3 to get 12x.

but then 2y×4 = 8y, or 2y×3 = 6y, and that is not the same as 2y (part of the first equation of the second system).

that is why this first equation of the second system is not a multiple of either equation in the first system.

and that makes it impossible for both systems to be equivalent. that the second equations are identical, is then not relevant anymore.

Answer:

1356

Step-by-step explanation:

Answer y = 1/4 (x+3)^2 + 4

Step-by-step explanation:

If the focus is (-3, 3) and the directrix is y=5, the vertex is at (-3, 4). a = 1/4p, p=1, a=1/4. (h,k) is the vertex.

y=a(x-h)^2 +k

y=1/4(x+3)^2+4

[tex] \huge \fbox{Answer : }[/tex]

The value of k for which

[tex] \sin(k - x) = \cos(x) [/tex]

is

[tex] \dfrac{\pi}{2} [/tex]

Answer:

B. Yes; the domain values are at regular intervals and the range values have a common factor 4.

Step-by-step explanation:

I calculated it logically

Answer:

-0.750

Step-by-step explanation:

Answer:

B, C, and F

Step-by-step explanation:

You can double check my answers and it'll make sense.

2 to the power of 4 means you multiply 2 by itself 4 times.

The answer of that would be 16.

4 x 4 also equals 16 so therefore those three answers are equivalent.

Answer:

a and c

Step-by-step explanation:

it says equivalent to

Answer:

10

Step-by-step explanation:

Given the expression below.

[x + 5) - (x - 5]

If x = 10, we will have to substitute x = 10 into the expression given as shown;

[x + 5) - (x - 5]

=[10 + 5) - (10 - 5]

= 15 - 5

= 10

Hence the required value is 10

Answer:

Not possible to calculate with the information

Step-by-step explanation:

Given

[tex]Elector = 5[/tex] (each)

Required

The number of Kansas senators presently in the US senate

First, it should be noted that the given information applies to 2008 presidential election

Next, the given information states the number of electors each of the given locations had in the electoral college.

There was no information about the number of senators in the senate (presently or 2008).

Hence, additional information is required to answer the question.

Answer:

B

Step-by-step explanation:

Substitute x =7 in each inequality

In A.

[tex] - 4 + 3 \times 7 < 17 \\ - 4 + 21 < 17 \\ \\ - 17 < 17[/tex]

Which is not true

B.

[tex] - 7 - 2 \times 7 > 1 \\ - 7 - 14 > 1 \\ - 21 > 1[/tex]

Which is not true.

C.

[tex]5 - 7 \leqslant 9 \\ - 2 \leqslant 9[/tex]

Which is true

D.

[tex]1 - 4 \times 7 \geqslant 25 \\ 1 - 28 \geqslant 25 \\ - 27 \geqslant 25 \\ [/tex]

Which is not true

so option C is the right answer

Answer:

VOLUME:

amount of confetti stuffed in a tube

amount of soup in a can

amount of dirt in a flower pot

SURFACE AREA:

amount of paper to cover a can

amount of paint for outside of tube

amount of cardboard to make a tube

Step-by-step explanation:

Answer:

x=-2

y= 8

Step-by-step explanation:

Given data

10x – 2y = -36-----------1

7x – 2y = -30--------------2

-Subtract to eliminate y

3x-0= -6

3x= -6

x= -6/3

x= -2

Put x= -2 in

7(-2)– 2y = -30

-14-2y=-30

-14+30=2y

16=2y

y= 16/2

y= 8

Answer:

x=16

Step-by-step explanation:

the angle would be 1/2 of the arc so here's the steps

(2)7x+16=18x-32

14x+32=18x-32

    +32        +32

14x+64=18x

-14x .     -14x

64=4x

64/4=4x/4

x=16

Answer:

18

Step-by-step explanation:

Answer: 3 x [tex]10^{24}[/tex]

Step-by-step explanation:

Answer:

Archimedes

Step-by-step explanation:

The father of Mathematics is known as Archimedes

-TheUnknownScientist

Answer: The matching jacket requires 1/6 yards less fabric than the dress, which is 3 1/4 - 1/6 = 3 1/4 - 2/12 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 3/12 yards of fabric.

To add these two amounts of fabric together, you need to add the yards and the inches separately.

For the dress: 3 1/4 yards = 3 + 1/4 = 3 + 0.25 = 3.25

For the jacket: 3 3/12 yards = 3 + 3/12 = 3 + 0.25 = 3.25

So, for both pieces, the required fabric is 3.25 + 3.25 = 6.5 yards

Step-by-step explanation:

Answer:

299.25

Step-by-step explanation:

285x.05=14.25 tax

285 + 14.25=299.25 total cost

Tip: Before finding a volume, you'll need to know the FORMULA of it. So the formula for a volume is Length x Width x Height. Then you should be able to solve any shape.

Answer:

<6, <5, <7 all equal 48 degrees.

<1, <2, <3, <4 all equal 132 degrees.

Step-by-step explanation:

Straight angles (like <5 & <2) are supplementary, so they equal 180 when added together

Vertical angles (like <2 & <1) have the same measurments

Corresponding angles (like <8 & <6) have the same measurements

Alternate interior angles (like <8 & <5) have the same measurments

Alternate exterior angles (like <6 & <7) have the same measurements

Same-side interior angles (like <8 & <2) are supplementary, so they add to 180.

There's more, and there's other ways to do this, this is just an example. Good luck! <3

The scale factor of the dilation is 3

From the question, we have the following parameters that can be used in our computation:

Line segment AB = 12 units

After the dilation = 36 units

The scale factor of the dilation is then calculated as

Scale factor of the dilation = After the dilation/Line segment AB

Substitute the known values in the above equation, so, we have the following representation

Scale factor of the dilation = 36/12

Evaluate

Scale factor of the dilation = 3

Hence, the scale factor is 3

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On solving the provided question, we can say that - the area of the following rectangle is 200 cm sq.

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

here,

we have

L = 20 cm

and B = 10 cm

Area of rectangle, A =L X B = 20 X 10 = 200 cm sq.

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