If you had -$10 last week and -$8 this week, how do those two numbers compare? Explain what the inequality means in relation to the positions of these numbers on the number line. For which week did you have the greater debt?

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Answer:

[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (-3, -6) and (2, -2)

There are 3 ways to write the equation of the line:

The easiest way would either be slope-intercept or point-slope form, but let's write the equation in slope-intercept form, since it's the most common way

So we'll need to find the slope

The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything needed to find the slope, let's just label the values of the points to avoid any confusion:

[tex]x_1=-3\\y_1=-6\\x_2=2\\y_2=-2[/tex]

Now substitute these values into the formula. Remember that m is the value of the slope:

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-2--6}{2--3}[/tex]

Simplify the fraction:

m=[tex]\frac{-2+6}{2+3}[/tex]

Add the numbers together:

m=[tex]\frac{4}{5}[/tex]

So the slope of the line is 4/5

Let's plug it into the formula y=mx+b, since we now know the value of m

y=[tex]\frac{4}{5}[/tex]x+b

Now let's find b

As the equation passes through both (-3, -6) and (2, -2), we can use either point to help solve for b

Either point works, but let's take (2, -2) for instance

Substitute 2 as x and -2 as y

-2=4/5(2)+b

Multiply

-2=8/5+b

subtract 8/5 from both sides

-18/5=b

Now substitute -18/5 as b into the equation:

[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]

Hope this helps!

[tex]\dfrac{(2 x^{-3} y^{-2})^5}{(6x^{-1} y^{-8})^2}\\\\\\=\dfrac{32x^{-15} y^{-10}}{36 x^{-2} y^{-16}}\\\\\\=\dfrac{8}{9} \left(\dfrac{x^{-15}}{x^{-2}} \right) \left(\dfrac{y^{-10}}{y^{-16}} \right)\\\\\\=\dfrac 89 \left(x^{-15+2} \right) \left(y^{-10 +16} \right)\\\\\\=\dfrac 89 \cdot x^{-13} \cdot y^6\\\\\\=\dfrac{8y^6}{9x^{13}}[/tex]

Answer:

Rounding maybe

Step-by-step explanation:

Answer:

The measure of ∠ADC = 145°

Step-by-step explanation:

ABCD is a Parallelogram.

AB is produced to E .

∠CBE = 35°

We know that

∠ABC + <CBE = 180[tex]\degree[/tex]

Since , they are linear pair

➜ ∠ABC + 35° = 180°

➜ ∠ABC = 180°-35°

➜ ∠ABC = 145°

We know that

In a Parallelogram, Opposite angles are equal.

➜ The opposite angle of ∠ABC = ∠ADC

➜ ∠ADC = 145°

Therefore, The measure of ∠ADC = 145°

Similar Questions

In the accompanying diagram of the parallelogram ABCD, AB is extended to E such that CB is congruent to CE. If m< ADC = 100, what is m<CEB?

https://brainly.com/question/22056209?referrer

Answer:

23 meters

Step-by-step explanation:

You would subtract 24 from 70, and then divide by two.

70-24=46

46/2 = 23

Answer:

A

Step-by-step explanation:

Answer: 4, -2

Step-by-step explanation: I just visualized the graph in my head and went from there

Answer:

max at (- 6, 18 )

Step-by-step explanation:

Given the equation of a parabola in intercept form

y = a(x + c)(x + d)

• If a > 0 then min vertex

• If a < 0 then max vertex

y = - 2(x + 9)(x + 3) ← is in intercept form

with a = - 2 < 0 then max vertex

y = - 2(x + 9)(x + 3) ← expand factors using FOIL

  = - 2(x² + 12x + 27) ← distribute parenthesis by - 2

y = - 2x² - 24x - 54 ← in standard form

with a = - 2 and b = - 24

The x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex] = - [tex]\frac{-24}{-4}[/tex] = - 6

Substitute x = - 6 into the equation and evaluate for y

y = - 2(- 6 + 9)(- 6 + 3) = - 2(3)(- 3) = 18

vertex = (- 6, 18 ) and is a max

Answer:

x = 16

Step-by-step explanation:

46° and (3x - 2)° are alternate angles and are congruent , so

3x - 2 = 46 ( add 2 to both sides )

3x = 48 ( divide both sides by 3 )

x = 16

Answer:

were is the qn?

Step-by-step explanation:

Answer:

[7.8] = 8

[0.75] = 1

...

Step-by-step explanation:

step function takes the value of the greatest integer

Answer:

Interval notation for m: (-3,3)

Inequality notation: -3<m<3

In words: Anything between -3 and 3 without including either -3 or 3.

Step-by-step explanation:

If we want no real roots then b^2-4ac must be less than 0.

a=1

b=2m

c=9

These values were found by comparing your equation to ax^2+bx+c=0.

b^2-4ac<0 is what we are trying to satisfy

(2m)^2-4(1)(9)<0

4m^2-36<0

Divide both sides by 4:

m^2-9<0

Add 9 on both sides:

m^2<9

m^2<9 when m<3 and m>-3.

Interval notation (-3,3).

Answer:

jjjjjjjjjjjjjjjjjjjjjjjj

Answer:

-2/9

Step-by-step explanation:

Since the denominators are the same, we can combine like terms

4/9 + (-6/9)

-2/9

[tex] \: \: \: \: \: \: [/tex]

[tex] = - \frac{2}{9} [/tex]

Step-by-step explanation:

[tex] \frac{4}{9} + \frac{ - 6}{9} [/tex]

[tex] \frac{4 - 6}{9} [/tex]

[tex] \frac{ - 2}{9} [/tex]

[tex]use \: \: \frac{ - a}{b } = \frac{a}{b} = - \frac{a}{b} \: \: \: \: to \: \: rewrite \: \: the \: \: fraction[/tex]

[tex] = - \frac{2}{9} \\ \\ or \: \: in \: \: alternate \: form \\ \\ - 0.2[/tex]

[tex] \: \: \: \: \: \: [/tex]

Answer:

inches

Step-by-step explanation:

pretty sure that says 41 inches because at 36 it says 3 feet and 12 inches = 1 feet, so 36 inches equal 3 feet. The measurement would be inches.

x = 6 can be represented on the number line and hence it is real

Step-by-step explanation:

by simply plugging in 6 for x thus

x=6 becomes 6=6 which is true

Answer:

See below for answers

Step-by-step explanation:

These triangle do not have to be similar to each other because the 30° angles  may not be located in the same place.

For example, place one 30° at the vertex of the triangle which is  located where the two equal legs of the isosceles triangle are joined.  The triangle angles measure are 30°, 75°, and 75°.

But if the 30° angle is one angle at the base of the isosceles triangle, then the angles measure are 30°, 30°, 120°.  

                                                          30°  

                           Δ                             Δ

                      30°

Answer:

[tex]106 yd^2[/tex]

Step-by-step explanation:

Answer is attached. Let me know if you would like another explanation that would yield the same solution.

Answer:

a

Step-by-step explanation:

Answer:

3^2 * 5 * 13

Step-by-step explanation:

585

= 5 * 117

= 5 * 3 * 39

= 5 * 3 * 3 * 13

= 3^2 * 5 * 13

Answer:

3×3×5×13 that's the answer

Answer:

x < 4

Step-by-step explanation:

3x - 3 < 9 ( add 3 to both sides )

3x < 12 ( divide both sides by 3 )

x < 4

Answer:

x < 4.

Step-by-step explanation:

3x - 3 < 9

Add 3 to both sides:

3x < 9 + 3

3x < 12

Divide both sides by 3:

x < 4.

Answer: c.  x + 3

Step-by-step explanation:

The first equation tells us the total area of the cloth.  The second is the area of each piece.  Divide the total area by the piece area to determine how many individual pieces can be made.

(x^3 + 27) can be factored into:

(x+3)(x^2 - 3x + 9)   [Not easy, but true]

[(x+3)(x^2 - 3x + 9)]/(x^2 - 3x + 9)

(x^2 - 3x + 9) is on both sides, so it cancels, leaving (x + 3)

Answer:

Yes

Step-by-step explanation:

He has 24 fluid ounces. You know this because in 1 pint, there are 16 fluid ounces. In half of one pint there are 8 ounces. 16 + 8 = 24 oz

I hope this could help!

Answer:

yes and he will have 4.8228 fluid ounces left over

Step-by-step explanation:

1.5 pints + 28.8228 US fluid ounces

Answer:

4

Step-by-step explanation:

3/(3/4)=4

Answer:

$12.5

Step-by-step explanation:

140 divided by 7 is 20, since 20 is a factor of 500, it will make it easier. Since we divided the 140 grams by 7, we also have to divide the $3.5 by 7, which will get you$0.5. 20 times 25 is 500, so you will also time the $0.5 by 25 which will get you $12.5

Answer:

the length of the magnet is 5cm

Step-by-step explanation:

first convert the feet into inches: 2ft 6in=30in, 1ft 9in=21in

then convert inches into centimeters (times by 2.5): 30*2.5=75cm 21*2.5=52.5

then divide 52.5 by 3.5 to get a proportion: 52.5/3.5=15

then divide 75 by 15: 75/15=5cm

Answer: 94 live chickens go in each box.

Step-by-step explanation:     3,572 divided by 38 = 94 so 94 live chickens go in each box.

hope this helps :)