which inequality is true for all real numbers? Check all that apply.
1. a-b < a+b
2. ac ≥ bc
3. if a ≥ b, then a+c ≥ b+c
4. if c > d, then a-c < a-d
5. if a < b, then a < b+c

Answer:

k = 9

Step-by-step explanation:

For this, we can factor the top expression to look like the bottom expression.

So, first we have to find the gcf of 18 and [tex]x^{2}[/tex] and add up to 11x.

18[tex]x^{2}[/tex]            11x

1 and 18       19   - No

2 and 9       11    - Yes

3 and 6       9    - No

So, the numbers are 2 and 9. The expression should now look like this:

[tex]x^{2}[/tex] + 2x + 9x + 18

Now, undistribute the terms.

x(x + 2) + 9(x + 2)

(x+2)(x+9)

This matches up with the bottom expression.

The value of k is 9.

Answer:

A

Step-by-step explanation:

Answer:

Is A

Step-by-step explanation:

Answer:

function is a parabola, with a lowest point of -4

Step-by-step explanation:

g(x)=x^-4

g(-3)= -3^2-4 = 9-4 = 5

g(-2)= -2^2-4 = 4-4 = 0

g(-1)= -1^2-4 = 1-4 = -3

g(0)= 0^2-4 = 0-4 = -4

g(1)= 1^2-4 = 1-4 = -3

g(2)= 2^2-4 = 4-4 = 0

g(3)= 3^2-4 = 9-4 = 5

Answer:

1,120

Step-by-step explanation:

$1680 - $560 = 1,120 so there for band members will need to raise $1,120 to reach their goal

Answer:

Step-by-step explanation:

A: W=17b

B: 867

C: 7.28

Answer:

9.1

Step-by-step explanation:

correct on Edg 2020-21

Answer:

2(x+4) + 2(2x-7) = 42 ( If this is wrong simplify this)

Step-by-step explanation:

The formula for perimeter is (2 x length) + (2 x width), so our equation would be 2(x+4) + 2(2x-7) = 42

Answer:

The y-intercept represents the temperature at the start, before any time has passed.

In the scenario, y intercept represents the temperature which starts from 8 °F.

A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.

In the given graph,

x-axis shows time in hours,

And y-axis shows temperature in Fahrenheit.

Since, the y-intercepts shows the value where x=0, or the values of y-axis.

In the given graph,

The y-axis shows the temperature.

Therefore, y intercept represents the temperature which starts from 8 °F.

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Answer:

December 18, 2001

Step-by-step explanation:

Answer:

December 18 two years older than me almost lol im about to be 18 soon

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

its the middle

Answer:

6

Step-by-step explanation:

Answer:

32/63

Step-by-step explanation:

i used a calculator

Answer:

x must be a negative to cancel out the negative sign and must be greater than 15 unless it is supposed to equal 5 then a is correct

Step-by-step explanation:

Because 15/3 is equal to 5

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost per ticket = $3.25

Number of ride tickets purchased (x) = 8

Total amount spent at the fair (y) = $39.50

Henry's spending was only on ticket rides and fair admission

a) Find the cost of admission to the fair. Explain how you found the cost of admission.

Total spending = amount spent on ticket rides + cost of admission to fair

$39.50 = 8(3.25) + cost of admission

39.50 = 26 + cost of admission

Cost of admission = (39.50 - 26) = $13.50

(b) Write a linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission.

Since cost of admission is the same for everyone :

Total cost = 3.25x + 13.50

y = 3.25x + 13.50

(c) Explain what the coefficient on x and the constant of your linear equation represent.

3.25 = cost per ride ticket

13.50 = cost of admission to fair

Answer:

2:3

Step-by-step explanation:

You can simplify 12/18 to 2:3 also if michel is that good at basketball he should go to the NBA

Answer:

B

Step-by-step explanation:

it's right

Answer:

B. 90

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through

[tex](x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Hence since it passes through  (7.75, 0) and (10.75, 42), the equation is:

[tex]y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5[/tex]

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

164.5=14x

x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

A perpendicular bisector is a line that crosses (bisects) another line segment at 90 degrees, dividing the line segment it crosses into two equal length lines

The additional information Kiran need to know to show that AB is a perpendicular bisector is the fourth option;

DB and BC are congruent

The reason for the above selection is as follows:

The information about the isosceles triangle DAC Kiran knows are;

Triangle DAC = An isosceles triangle

Segment AD is congruent to segment AC

Segment AB is a  is a line from the vertex point A to the side CD of triangle DAC

The required parameter:

The information Kiran has know so as to show that AB is a perpendicular bisector of CD

Method:

Determine an attribute present in triangle DAC with line AB drawn that is due to line AB being a perpendicular bisector

Solution:

For AB to be a perpendicular bisector, then DB and BC are congruent

Given that DB and BC are congruent, we get;

AB is congruent to AB by reflexive property

Therefore, given that AD is congruent to AC, we have;

Sides AD, AB, and DB in triangle ΔADB are congruent to the corresponding sides AC, BC, and AB in triangle ΔACB, which gives

ΔADB is congruent to ΔACB by Side-Side-Side, SSS, congruency rule

Therefore, ∠ABD ≅ ∠ABC, by Congruent Parts of Congruent Triangles are Congruent, CPCTC

∠ABD = ∠ABC by definition of congruency

∠ABD and ∠ABC are linear pair angles, therefore;

∠ABD + ∠ABC = 180°

∠ABD + ∠ABD = 2 × ∠ABD = 180° by substitution property

∠ABD = 180°/2 = 90°

∠ABD = 90° = ∠ABC, therefore, AB is perpendicular to CD and AB is a perpendicular bisector of CD

Therefore, the correct option Kiran need to know in order to show that AB is a perpendicular bisector of segment CD is the option; DB and BC are congruent

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Answer:

the slope should be 4/2

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

4

1

= 4

θ =  

arctan( ΔY )

ΔX

= 75.963756532074°

ΔX = 4 – 2 = 2

ΔY = 16 – 8 = 8

Distance (d) = √ΔX2 + ΔY2 = √68 = 8.2462112512353

Equation of the line:

y = 4x

When x=0, y = 0

When y=0, x = 0

Answer:

A isn't parallel but B is

Step-by-step explanation:

I believe A isn't parallel because it's supposed to have the same number but they're one off from each other

B is parallel because when you add the numbers they equal 180 and since they're opposite they'd have to equal 180 in order to be parallel

I hope this made sense :) if it didn't I can try to explain it again

Answer:

5:  a) No  b)Yes

Step-by-step explanation:

5a. You can know by the alternate interior angle converse thm.

The theorem says that if two interior alternate angle are the same then the lines are parallel.

5b.  You can know by the consecutive interior angles thm and the DLD thm.

First use the DLD thm to find the interior angles then use the connsectutive interior angles thm.

Answer:

angle 1 = 135 degrees

Step-by-step explanation:

Answer:

75

Step-by-step explanation: cuz yes

Answer:

8x+6

Step-by-step explanation: