Find the slope:
A.2/5
B.-2/5
C.5/2
D.-5/2

Answer:

x = 7

Step-by-step explanation:

Given s(x) = - 3(x - [tex]\frac{2}{3}[/tex]) + 19 and s(x) = 0, then equate the right sides, that is

- 3(x - [tex]\frac{2}{3}[/tex] ) + 19 = 0 ( add 19 to both sides )

- 3(x - [tex]\frac{2}{3}[/tex] ) = - 19 ← distribute the parenthesis

- 3x + 2 = - 19 ( subtract 2 from both sides )

- 3x = - 21 ( divide both sides by - 3 )

x = 7

Answer:

For a:

For b:

I hope this helps!

Answer:

1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S             b. Given

2. ∠1 ≅ ∠2                                                            e. Definition of angle bisector

3. Segment TQ ⊥ Segment RS                          a. Definition of perpendicular

4. Triangle RTQ congruent to Triangle STQ     c. AAS

5. ∠3 ≅ ∠4                                                            d. CPCTE

6. TQ ≅ TQ                                                           f. Reflexive

Step-by-step explanation:

Good luck on the rest of your assignment!

Answer: Answer:

1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S             b. Given

2. ∠1 ≅ ∠2                                                            e. Definition of angle bisector

3. Segment TQ ⊥ Segment RS                          a. Definition of perpendicular

4. Triangle RTQ congruent to Triangle STQ     c. AAS

5. ∠3 ≅ ∠4                                                            d. CPCTE

6. TQ ≅ TQ                                                           f. Reflexive

Step-by-step explanation:

Good luck on the rest of your assignment!

Answer:

$2855.46

Step-by-step explanation:

$27,174.25 - $24,318.79= $2855.46

Answer:

y=-3x-10.5

Step-by-step explanation:

Let's use the first set of numbers.

-7.5 and 12

-3.5 and 0

Our rise here is -12 and run is 4.  So, our slope is -3.

Now we just need our intercept.

y = mx + b

y = -3x + b

0 = -3(3.5) + b

b = -10.5

The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The table represents some points on the graph of a linear function.

 х           у

-7.5        12

-3.5        0

  -1       -7.5

  2       -16.5

3.5       -21

Take two points from the table, then the points are (-7.5, 12) and (-3.5, 0). Then the equation of the line is given as,

y - 0 = [(-3.5 + 7.5) / (0 - 12)](x + 3.5)

y = - (1/3)(x + 3.5)

3y = - x - 3.5

x + 3y + 3.5 = 0

The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.

More about the line passing through two points link is given below.

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Answer:

No.

Step-by-step explanation:

They do not create a triangle because if you follow the expression: a^2+b^2=c^2 it does not equal. Hope I helped :)

Answer:

a^2 + b^2 = c^2  - Pythagorean Theorem

6^2 + 10^2 = 15^2

36 + 100 = 225

136 doesn't equal 225

So, no, the sides lengths don't make a triangle.

Last year the chess club had 30 members. This year the club has 24 members.

Last year, the chess club had 30 members. This year, the club has 24 members. Since this year had less than last year ( 30 > 24), the percent will be decreasing.

To find the percent decrease, you have to use the following formula.

[tex]\frac{Difference}{Original} \times 100[/tex]

Difference refers to the difference between the two numbers, 24 and 30. The difference between 24 and 30 is 6. Original refers to the original number, which is last year's amount of members in the chess group. Therefore, original = 30.

Substitute the numbers into the formula.

[tex]\frac{Difference}{Original} =\frac{6}{30} =0.2[/tex]

To convert the decimal to a fraction, multiply the decimal by 100.

[tex]0.2 \times 100 = 20 \%[/tex]

The answer is the number of chess members decreased by 20%.

____

Since I started off by identifying whether it was decreasing or increasing, I did the work a bit differently. When finding the difference, you would usually subtract 30 from 24, which results in -6. Above I used 6, but if you used -6, you would end up with a result of -20%, which means it decreased by 20%. They bot end up with the same result, but you don't always have to first identify whether it's decreasing or increasing.

____

Answer:

Decreasing

Step-by-step explanation:

The percentages are decreasing because one year the club had 30 members and the present year has 24 members that decreased by 6!

Answer:

5

Step-by-step explanation:

if you add $1.50 +50 cents its $2.00 count by 2's until you get

to 10 and thats 5 how i got 50 cents 25 cents for a half mile

25+25 is 50.

Answer:

y=-7

Step-by-step explanation:

With a slope of zero there will be no x so you delete the slope from the equation y=0x-7 would become y=-7.

Answer:

Answer

5.0/5

8

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Answer:

y = 7 is the equation of the line that passes through the point ( -2, 7 ) and has a slope of zero.

Step-by-step explanation:

Given:

Let,

A ≡ ( x1 , y1 ) ≡ ( -2, 7 )

Slope = m = 0

To Find :

Equation of Line:

Solution:

Formula for , equation of a line passing through a point (  x1 , y1 ) and having a slope m is given by

Now substituting the values of x1 = -2 and y1 = 7 and slope m = 0 we get,

Which is the required equation of a line passing through the point ( -2, 7 ) and slope zero

Step-by-step explanation:

Answer:

x<9

Step-by-step explanation:

Answer:

The relationship is not proportion because the value of [tex]\frac{y}{x}[/tex] is not equivalent for each point in the relationship ⇒ C

Step-by-step explanation:

Let us use the information, above to solve the question

→ From the given graph

∵ The coordinates of the points are (1, 10), (2, 20), (4, 25), (6, 40)

∵ The equation of proportion is [tex]\frac{y}{x}[/tex] = k

→ Let us check if all the points satisfy the equation or not

∵ x = 1 and y = 10

∴ [tex]\frac{10}{1}[/tex] = k

∴ 10 = k

→ Check the other points if they give the same value of k or not

∵ x = 2 and y = 20

∴ [tex]\frac{20}{2}[/tex] = k

∴ 10 = k

∵ x = 4 and y = 25

∴ [tex]\frac{25}{4}[/tex] = k

∴ [tex]\frac{25}{4}[/tex] = k

∵ x = 6 and y = 40

∴ [tex]\frac{40}{6}[/tex] = k

∴ [tex]\frac{20}{3}[/tex] = k

∵ Not all points satisfy the same value of k

∴ The relation does not represent a proportional relation

The relationship is not proportion because the value of [tex]\frac{y}{x}[/tex] is not equivalent for each point in the relationship.

Answer:

x= -2

Step-by-step explanation:

2= -3(x)-4

6= -3x

-2= x

Answer:

He can wash 14 cars in one day. 14:1

Step-by-step explanation:

You divide 58 by 4

Answer:

14.5 cars

Step-by-step explanation:

58 Cars

÷ 4

4 Days

÷ 4

=

14.5 Cars

1 Day

=

14.5 Cars

Day

= 14.5 Cars per Day

Answer:

(a) The slope and the y-intercept are 7 and 15

(b) y represents the total number of baskets of berries the workers picked over a period of time

(c) The rate and the initial amounts are 7 baskets/hour and 15 baskets

Step-by-step explanation:

Answer:

A. the slope of the equation is 7 and y-intercept is 15

B. the term "y" represents the total

C. The rate of change is 7x and the initial amount is 15. The rate of change means the "thing" (or variable) that keeps on changing and here it is the 7x. This means that every hour, the workers pick 7 baskets and this number will change based on the hours, which can is represented by the x. The 15 is our initial amount of baskets we had before starting because it is unchanging, it is our initial amount.

Explanation for A & B:

A.  This equation is written in slope-intercept form which is, y=mx+b the slope is represented by the "m" and the y-intercept is represented by the "b". In simpler words, slope=m and y-intercept=b

B. When we take our given amount which is 15 baskets (y) and add it to our slope  (7x) or the amount that changes based on time

we will get our total y, which represents the total amount of baskets

Answer:

Reflection

Step-by-step explanation:

a reflection is a type of rigid transformation in which the pre-image is flipped across a line of reflection to create the image. Each point of the image is the same distance from the line as the pre-image is, just on the opposite side of the line.

Answer:

0

Step-by-step explanation:

ap/2

Answer:

Step-by-step explanation:

external angles are equal

therefore, x = 135

Answer:

2 13/20

Step-by-step explanation:

Answer:

2 13/20

Step-by-step explanation:

we can split up 2.65 into a whole number and a decimal

2.65

= 2 + 0.65      (note that 0.65 = 65/100)

= 2 + 65/100

= 2 65/100   (we can see that both numerator and denominator are multiples of 5, hence we can try to simply by dividing both numerator and denominator by 5)

= 2 (65÷5) / (100÷5)

= 2 13/20   (answer)

Answer:

A

Step-by-step explanation:

Answer:

I would say about 13 minutes.

Step-by-step explanation:

9 4/5 KPH is about 6.1224489795918 Kilometers per minute

Multiply by 2 1/5 KPM

6.1224489795918 x 2 1/5 = 13.4693877551 Minutes

Answer: 13.469 or about 13.5 minutes

Step-by-step explanation:

Estimating part:

The first number can be rounded to 10, and second number to 2

You can set up a proportional equation

[tex]\frac{10 kilometers}{60 minutes} = \frac{2 kilometers}{x}[/tex]

then cross multiply to get 10x=120, then divide to get x = 12 minutes

Exact answer:

I like making fractions into decimals to make it easier to see

The first number as a decimal is 9.8, and the second is 2.2

Set up another proportional equation

[tex]\frac{9.8 kilometers}{60 minutes} = \frac{2.2 kilometers}{x}[/tex]

cross multiply to get 9.8x = 132

divide by 9.8 on both sides to get x = 13.5 minutes

Answer:

D: 3

Step-by-step explanation:

2 is not a factor of three

The number 3 can not be the common denominator for 2/3 and 1/2. The correct option is D.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. The number of components of a specific size is expressed as a fraction.

The fractions will have all the numbers 18, 12, and 6 as the common denominator but can not have 3 as a common denominator.

Therefore, the number 3 can not be the common denominator for 2/3 and 1/2. The correct option is D.

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Answer:

(0,-3)

Step-by-step explanation:

Apex

Answer:

see explanation:

Step-by-step explanation:

We use the property that  (all numbers being positive)

0 < a < b < c  -->  0< a^2 < b^2 < c^2

so:

1 <  2 <   sq(7)   < 3 < 4 <  5            

1 <  4 <  7   < 9 < 16 < 25      

Answer:

I’m joining rn does it still work?

Step-by-step explanation:

Answer:

168 miles total

Step-by-step explanation:

42 miles x 4 hours = 168

Answer:

168 miles in 4 hours

Step-by-step explanation:

42x4=168, meaning that in 4 hours, the car travels at a constant speed of 42mph and travels a total of 168 miles in 4 hours

Answer: 21

Step-by-step explanation:

Given: Number of mango guava and sapota are supplied 108,84 and 60 respectively.

Since, 108 = 2 x 2 x 3 x 3 x 3

84 =  2 x 2 x 3 x 7

60 = 2 x 2 x 3 x 5

HCF(108,84,60) = 2 x 2 x 3 [HCF=Highest common factors]

= 12

Greatest number of plants in each row = 12

Number of rows for mango = [tex]\dfrac{108}{12}=9[/tex]

Number of rows for guava = [tex]\dfrac{84}{12}=7[/tex]

Number of rows for sapota = [tex]\dfrac{60}{12}=5[/tex]

Total rows = 9+7+5= 21

Hence, the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted​ = 21

Answer:

ok

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