Simplify
114
11
1
1112
01
114
0 114
0 11 12

a.) m = -1

b.) m = 0

c.) m = undefined

d.) m = 1/2

Answer (bolded part is slope):

a.) y = -x + 2 (slope = -1)

b.) y = -2 (slope = 0)

c.) x = 3 (slope = undefined)

d.) y = [tex]\frac{2}{3}[/tex]x + [tex]\frac{3}{2}[/tex] (slope = 2/3)

Answer:

−7(2x−11)

use distributive property

-7(2x)-7(-11)

-14x+77

Answer:

-14x + 77

Step-by-step explanation:

-7(2x-11)

= -14x + 77

Answer: 8 dollars

Step-by

light stand for knowledge in the poem

Answer:

light stand for knowledge in the poem

Step-by-step explanation:

Answer:

population-amount of people per sq ft

climate- the average climate in that are

physical- elevation, landmarks,

Step-by-step explanation:

Answer:

Ratio of the number of cups of apple juice to the number of cups of lemon lime soda is 6 : 1

Step-by-step explanation:

From the graph attached,

Number of cups of apple juice (A) is proportional to the number of cups of lemon lime soda (L).

A ∝ L

A = kL

Here 'k' is the proportionality constant.

k = [tex]\frac{A}{L}[/tex]

  = [tex]\frac{6}{1}[/tex]

Therefore, ratio of the number of cups of apple juice to the number of cups of lemon lime soda is 6 : 1.

Answer:

Each friend would get 3 slices and there would be 2 slices left over.

Answer:

24

Step-by-step explanation:

Use the distance formula, d = sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}. Using this you then get 24.

Answer:

1:C Triangle STU is similar to triangle XYU

2:B subtraction property

Step-by-step explanation:

i just did the test

Applying the AA similarity theorem, the missing parts of the proof are:

According to the AA similarity theorem, if two triangles have two corresponding congruent angles, then both triangles are similar.

In the proof given, triangles STU and XYU have two pairs of corresponding angles that are congruent, therefore, triangle STU is similar to triangle XYU by AA similarity theorem.

Also, subtraction property was applied in the proof. Thus, the missing parts of the proof are:

Learn more about the AA similarity theorem on:

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Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

Let set A = {x|x<-3}

Let set B = {x|x>5}

The solution for set A could be graphically represented with a number line that contained an unshaded circle surrounding the integer -3 and all values to the left or less than -3 would be shaded.

The solution for set B could be graphically represented with a number line that contained an unshaded circle surrounding the integer 5 and all values to the right of 5 or greater than 5 would be shaded.

If you placed the two number lines close to each other, you would see that they do not intersect.

Thus there is no solution for the intersection of set A and set B as defined in the given problem.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

12 x 2 = 24

12 + 12 = 24

Answer:

The answer for the question is eight

Answer:

0.0034

Step-by-step explanation:

We are given the equation:

log₂(x-3) + log₂x - log₂(x+2) = 2

When is it defined:

in this equation, log₂(x-3) and log₂(x+2) can only be defined when

x-3 >0 and x+2 > 0

solving for the values of x, we get:

x > 3    and   x > -2

which basically means x > 3

Because we are looking for an inequality which is true for both x>-2 and x>3

Hence, x will have a value greater than 3

Solving for x:

using the product rule [logₐb + logₐc = logₐ(bc)]

log₂[(x-3)(x)] - log₂(x+2) = 2  

using the quotient rule [logₐb - logₐc = logₐ(b/c)]

log₂[(x-3)(x) / (x+2)] = 2

from the property [ aˣ = b  ⇒  logₐb = x]

(x² - 3x) / (x+2) = 2²

x² - 3x = 4x + 8

x² - 7x - 8 = 0

x² + x - 8x - 8 = 0

x(x+1) - 8(x+1) = 0

(x-8)(x+1) = 0

(x-8) = 0    OR    (x+1) = 0

x = 8      OR      x = -1

We know that the equation is defined only for x > 3

We can see that x = 8 satisfies that inequality

Therefore, x = 8

Answer:

10 minutes

Step-by-step explanation:

If you divide both sides by 2 you get 6 miles and 1 hour.

Divide it again by 2 and you get 3 miles and 30 minutes.

Divide that by 3 and you get 1 mile in 10 minutes.

Answer:

33.6

Step-by-step explanation:

Answer:

2/5   0

Step-by-step explanation:

The x intercept of line A is (-6, 0) and  x intercept of line B is (3, 0)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Equation of line A

y=-2/3x-4

When y=0

0=-2/3x-4

4=-2/3x

-6=x

So the x intercept for line A is -6.

Let us find equation of line B by using table

Slope = -1

Now let us find y intercept

2=-1(-1)+b

b=3

So equation is y=-x+3

Now let us find the  x intercept

Put y=0

0=-x+3

x=3

(3, 0) is x intercept of line B

Hence, the x intercept of line A is (-6, 0) and  x intercept of line B is (3, 0)

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Answer:

1. 91 = 70*1.30

2a. 195= 150*1.30

2b. 210 = 150*1.40

3a.  56.70 = 156* .30

3b.  132.30 = 156-56.70

3c.  17.20 = 132.30 *0.13

3d.  149.50 = 132.30+17.20

3e. You do not have enough money, because you need $9.50 more.

Step-by-step explanation:

good luck

Question 1:

70 x 1.30 is 91 - 70 is equal to 21 pizzas, they would have to sell 91 total pizzas, which is 21 more than what was sold the previous day

Question 2:

Both parts are solved below:

Step-by-step explanation:

Given:

Purchase price = 150

Part A

As the online trailer marks up 30% so the price would be:

= 150 + 30% of 150

=150 + 0.3(150)

= 150 + 45

Price online= $195

° ♡ ₒ ♡ °

Part B

As the superstore marks up the price by 40% so the price would be:

= 150 + 40% of 150

=150 + 0.4(150)

= 150 + 60

Price at superstore = $210

° ♡ ₒ ♡ °

Difference

Difference = price at superstore - price online

Difference = 210 - 195

Difference = $15

Difference in markup = 40% - 30% = 10%

So a 10% difference leads to the difference of $15 in price.

Answer:

no

Step-by-step explanation:

No, a triangle cannot be constructed with sides of 2 in., 3 in., and 6 in. For three line segments to be able to form any triangle you must be able to take any two sides, add their length and this sum be greater than the remaining side.

Answer:

After 8 days, the stock lost 32 dollars.

Step-by-step explanation:

If 4 dollars fell every day for 8 days, it would be 32 dollars because 4*8 is 32.

Answer:

Step-by-step explanation:

NA = √[(- 4 - 1 )² + (- 3 - 2)²] = 5√2

AT = √[(8 - 1 )² + (1 - 2)²] = 5√2

TS = √[(3 - 8 )² + (- 4 - 1)²] = 5√2

NS = √[(- 4 - 3 )² + (- 3 + 4)²] = 5√2

NA = AT = TS = NS = 5√2

[tex]m_{NA}[/tex] = (- 3 - 2) / (- 4 - 1) = 1 ........ (1)

[tex]m_{TS}[/tex] = (- 4 - 1) / (3 - 8 ) = 1 ......... (2)

From (1) and (2) ⇒ NA║TS

[tex]m_{AT}[/tex] = ( 1 - 2) / ( 8 - 1) = - 1 / 7 .......... (3)

[tex]m_{NS}[/tex] = ( - 4 + 3) / ( 3 + 4) = - 1 / 7 .... (4)

From (3) and (4) ⇒ AT║NS

Thus, NATS is rhombus.

Answer:

Step-by-step explanation:

Given

The sum of two numbers = 50.

one of the numbers is twice of the other

Let one number =X

So second number=2x

Sum of two number =50

X+2X=50

3X=50

X=50/3

9ne no is X=50/3

Other is 2x= 100/3

difference of the number=100/3-50/3

=50/3.

Answer:

hello your question is incomplete attached below is the complete question and solution

answer :  general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]

Step-by-step explanation:

attached below is the detailed solution to determine the general solution of the given system

general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]

Answer:

16x + 9 = 4x

Step-by-step explanation:

9x+7x+26-17=2x-3x+5x
16x+9=4x