x + 2y + z = 4

2x - y + 4z = - 8

- 3x + y - 2z = - 1


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Answer:

y=-1/2x-9/2

Step-by-step explanation:

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The equation of the line perpendicular to y = 2x - 3 that passes through the point (-3, -3) is y = (-1/2)x - 9/2 in slope-intercept form.

To find the equation of a line perpendicular to y = 2x - 3, we need to determine the slope of the original line and then find the negative reciprocal of that slope.

The original line has a slope of 2. The negative reciprocal of 2 is -1/2.

Now, we have the slope (-1/2) and the point (-3, -3) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to write the equation of the line:

y - y1 = m(x - x1)

Substituting the values:

y - (-3) = (-1/2)(x - (-3))

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

Expanding and simplifying:

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

y = (-1/2)x - 3/2 - 3

y = (-1/2)x - 3/2 - 6/2

y = (-1/2)x - 9/2

Therefore, the equation of the line perpendicular to y = 2x - 3 that passes through the point (-3, -3) is y = (-1/2)x - 9/2 in slope-intercept form.

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Answer: 4/10 = 2/5

2/8 = 1/4

3/5 = 3/5

4/12 = 1/3

6/10 = 3/5

3/6 = 1/2

Step-by-step explanation:

4/10 = 2/5

4/10 is not in its simplest form.

Both 4 and 10 can be divided by 2.

Therefore, 4/10 = 2/5

2/8 = 1/4

2/8 is not in its simplest form

2 / 2 = 1

8 / 2 = 4

Both 2 and 8 can be divided by 2, therefore, 2/8 = 1/4

3/5 = 3/5

3/5 is in its simplest form

3 and 5 are prime, so they don’t have any factors other than 1 and itself so they wouldn’t be able to be simplified.

4/12 = 1/3

4/12 is not in its simplest form

4 / 4 = 1

12 / 4 = 3

4 and 12 can be divided by 4, resulting in 1 and 3. Therefore, 4/12 = 1/3.

6/10 = 3/5

6/10 is not in its simplest form

6 / 2 = 3

10 / 2 = 5

6 and 10 can both be divided by 2, resulting in 3/5. Therefore, 6/10 = 3/5

3/6 = 1/2

3/6 is not in its simplest form

3 / 3 = 1

6 / 3 = 2

Both 3 and 6 can be divided by 3, resulting in 1/2

Therefore, 3/6 = 1/2

Short Answers:

4/10 = 2/5

2/8 = 1/4

3/5 = 3/5

4/12 = 1/3

6/10 = 3/5

3/6 = 1/2

Answer:

6

Step-by-step explanation:

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In the given figure, the Angle (6v - 4)° forms vertical opposite angle pair with 50° , so their measures is equal to one another.

that is :

therefore, value of v = 9°

Answer:

[tex]v = 9[/tex]

Step-by-step explanation:

They are vertically opposite angles so (6v-4) = 50°

[tex](6v - 4) = 50 \\ 6v = 50 + 4 \\ 6v = 54 \\ v = \frac{54}{6} \\ v = 9[/tex]

Answer:

2/7<4/5<5/6<7/9

Step-by-step explanation:

The fractions in ascending order will be 2/7<7/9<4/5<5/6.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The given number is,

7/9,2/7,4/5,5/6

The fraction with the smallest numerator is the smallest for fractions with the same denominator. Put the numbers 2/7,4/5,5/6,7/9. In ascending order, for instance. The fraction with the highest denominator is the smallest when all the fractions have the same numerator.

The LCM of the denominator 9,7,5 and 6 is 630.

The term equivalence for the denominator is,

490/630,180/630,504/630,525/630

The fractions in ascending order are,

180/630<490/630<504/630<525/630

2/7<7/9<4/5<5/6

Thus, the fractions in ascending order will be 2/7<7/9<4/5<5/6.

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Answer:

5m

Step-by-step explanation:

1.25m multiply by 4 sides equals 5m

The length of which ant walk will be the same as the perimeter of the square thus it will be 5 meters.

Perimeter is the addition of an external measure of sides it will always positive.

Perimeter of square = side + side + side + side

Given a table in form of a square,

Side of square = 1.25 m

The external measure of side = length of ant walk

1.25 + 1.25 + 1.25 +1.25 = Length of ant walkt

Length of ant walk = 5 meters.

Hence "The length of which ant walk will be the same as the perimeter of the square thus it will be 5 meters".

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Answer:

y=1.2

Step-by-step explanation:

7.2-1.2=6

Answer:

x=[tex]-\frac{9}{19}[/tex]

Step-by-step explanation:

Answer:

kciyyyyfdttftuttdciiiiifffffccccccutyyttttdccccckkff

hcucickkciffiiiiifiyffyysuatyyggHZZ£;YYYYYRRtrTyY56644%55646776-755522#3435%5$$4

First, find the scale factor:

8/4.6 ≈ 1.73913043478

12/1.73913043478 = 6.9

If triangle XYZ is similar to ABC then the length of the missing side is 6.90. It is obtained by using the scale factor concept.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that ΔXYZ ≅ ΔABC.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

When two triangles are similar their scale factor is the same for each side,

The scale factor is  obtained by taking the ratio of their sides,

=  AC / XZ

= 8 / 4.6

= 1.739

The length of side XY is found as,

Scale factor = AB / XY

1.739 = 12 / XY

XY = 6.90

Thus, if triangle XYZ is similar to ABC then the length of the missing side is 6.90. It is obtained by using the scale factor concept.

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$980 $670 Step-by-step explanation:

Answer:

=>10x-2

Step-by-step explanation:

=>(-5x+1)(-2)

=>-2(-5x+1)

=>-2(-5x+1)

=>10x-2

Answer:

Step-by-step explanation:

(-5x+1)(-2)

-2×-5x-2

10x-2

Answer:

11

Step-by-step explanation:

5 + 7( 6-4) – 2(5 - 1) =

= 5 + 7(2) - 2(4)

= 5 + 14 - 8

= 19 - 8

= 11

Answer:

I think the answer is -1 1/2

answer: d

explanation: it just is

Answer:

This program wants 20 characters so -- 2.06E7

Answer:

Pair are

30 , 3150  

90, 1050

150, 630

210 , 450

Step-by-step explanation:

Let the numbers be a and b

a = 30x  and  b=30y

HCF of a and b = 30

Product of numbers  = LCM * HCF

30x * 30y = 30 * 3150

       30xy = 3150

           xy = 3150/30 =  105    

1*105   or 3* 35    or   5 * 21    or   7 * 15  

1)  105 = 1*105  

      30xy =30*1 , 30*105 =   (30 , 3150)

2) 105 = 3 * 35

 30xy =   30*3  , 30*35    = 90 , 1050

90 , 1050

3) 150 , 630

4) 210 , 450

Answer:

247,000,000 times

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Tell me if im right

:)

B because its on the y axis and thats what there asking for and its positive

Answer:

18.75.

Step-by-step explanation:

If he already owes his mother 12.25 and borrows 6.50, we can add those numbers up to get the total amount of how much he owes his mother.

12.25 + 6.50 = 18.75

Therefore, Joseph's debt to his mother can be represented using the equation above.

Answer:

The ratio is 3:1

Step-by-step explanation:

[tex]\frac{10 yards}{10 feet}[/tex]

We know, 1 yard is equal to 3 feet

So, [tex]\frac{10 yards X 3}{10 feet}[/tex] is equal to [tex]\frac{30 feet}{10 feet}[/tex] is equal to 3:1

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Answer:

no

Step-by-step explanation:

Step-by-step explanation:

it is a quadratic function

it is because it satisfies the equation f(x)= -3-5x+4x^2

======================================================

Work Shown:

x = number of light bulbs

3.40x = total cost to buy x light bulbs, cost is in pounds

3.40x = 30

x = 30/(3.40)

x = 8.823529 approximately

Rounding down, we get 8

Note that,

Therefore, the highest number of bulbs that can be bought is 8.

The change given will be 30-27.20 = 2.80 pounds

Answer:

6.6

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Answer:

y = 2x + 5

Step-by-step explanation:

First, you must choose two ordered pairs from the table to solve for the slope (m):

Let (x1, y1) = (0, 5)

(x2, y2) = (1, 7)

Substitute the given values into the following slope formula:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{7 - 5}{1 - 0} = \frac{2}{1} = 2[/tex]

Therefore, the slope (m) = 2.

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b ).  It is also the value of y when x = 0. Looking at the given table, (0, 5) reflects the description of the y-intercept. The y-intercept (b) is the y-coordinate of (0, 5).

Given the slope (m) = 2, and y-intercept (b) = 5, the linear equation is:

y = 2x + 5

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Slop is 2, y-intercept is (0,5) and equation is 2x+5

Answer:

choose B......B is the right answer

Answer:

B. -(x - 1)/5 + 13

Step-by-step explanation:

combine like terms: 9 - (x - 1)/5 + 4 --> - (x - 1)/5 + 4 + 9--> - (x - 1)/5 + 13

Answer:

7.4

Step-by-step explanation:

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