Identify the slope and y-intercept of the line. Then write the equation in slope form.

Answer:

slope (m) = [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Find the slope by using the following equation:

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

Let:

([tex]x_1 , y_1[/tex]) = (1 , 2)

([tex]x_2 , y_2[/tex]) = (7 , 7)

Plug in the corresponding numbers to the corresponding variables:

slope (m) = [tex]\frac{7 - 2}{7 - 1} = \frac{5}{6}[/tex]

slope (m) = [tex]\frac{5}{6}[/tex]

~

[tex] \LARGE{ \underline{ \purple{ \bf{Required \: answer:}}}}[/tex]

We can find the slope (m) by using the formula:

The points given to us:

Plugging the given values of x1, y1, x2 and y2 to find the slope:

[tex] \rm{m = \dfrac{7 - 2}{7 - 1} }[/tex]

This is equals to,

[tex] \rm{m = \dfrac{5}{6} }[/tex]

And this is our required result....

#CarryOnLearning

Answer:

14

Step-by-step explanation:

By following the exponent rule, when multiplying two numbers of the same term with exponents, you simply add them together.

Therefore, to make (5^n)(5^2)=5^16 true, n must equal 14 since:

14 + 2 = 16

Answer:

n = 14

Step-by-step explanation:

Recall the rule:

[tex] a^m \times a^n = a^{m + n} [/tex]

[tex] (5^n)(5^2) = 5^{16} [/tex]

[tex] (5^n)(5^2) = 5^{n + 2} = 5^{16} [/tex]

[tex] n + 2 = 16 [/tex]

[tex] n = 14 [/tex]

Answer:

x≥12, Michael must grow for 12 more months (a year) before he can ride a roller coaster.

Step-by-step explanation:

The inequality to represent how tall you must be to go on a roller coaster is

x≥48 because you must be a minimum of 48 inches tall, 'x' represents how tall you must be

If Michael is already 42 inches tall, that is his base point but you need to know how many more months he will need to grow for.

1/2x represents the amount of months Michael needs to grow, x is the unknown variable we need to solve for which represents the months he needs to grow, 1/2 is how many inches he grows in 1 month

42+1/2x≥ 48

subtract 42 from each side) 1/2x≥6

multiply both sides by 2) x≥12

Answer:

area = x² - 7x

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 2x and h = x - 7 , thus

A = [tex]\frac{1}{2}[/tex] × 2x(x - 7) = x(x - 7) = x² - 7x

Answer:

a=x^2-7x

Step-by-step explanation:

a=1/2bh

a=1/2(x-7)(2x)

a=1/2(2x^2-14x)

a=x^2-7x

Answer: 12.4

Step-by-step explanation:

Use the given functions to set up and simplify

12.4

feet.

4=2.75 feet=20.31990427 ft12.4 feet=91.62429562 ft

Answer:

1.4 feet

Step-by-step explanation:

2.75 times 4 = 11

11 is the total length of the boards cut

12.4 - 11 = 1.4

I hope this helps :))

Answer:

rise= -4

run= 2

so rise over run is -4/2 = -2

Answer:

54ft

Step-by-step explanation:

To find perimeter the formula is A + B + C + D

So, 19 + 10 + 17 + 8 = 54ft

A graph showing the fat and calories content has increased in the number of calories with the increasing number of fat.

Thus the graph shows a linear trend and in increasing order.

Learn more about the Is the trend line linear.

brainly.com/question/20309786.

Answer:

The equation is "Y = 56.36*X + 56.47"

Step-by-step explanation:

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

You have to find the slope of the trend line or you can use the plot points, but identifying the slope in the trend line is much easier.

It seems there are two points that are outliers and need no paying attention to, this is because outliers can make predictions unreliable and also make the trend line unreliable overall as well.

Have a Jocular day.

Answer:

30 portions of salad

Step-by-step explanation:

Given that :

2/5 pounds of canned tuna = 5 portions of salad

For every 2 onions used, 1 1/5 pounds of canned tuna is used ;

Number of onions used = 4

If 4 onions were used, number of canned tuna used is ;

4 /2 * 1 1/5

= 2 * 1 1/5

= 2 * 6/5

= 12 / 5 = 2 2/5 pounds of canned tuna

Number of Portions of salad made :

2/5 pounds = 5 portions of salad

12/5 pounds = x

2/5 * x = 12/5 * 5

2/5x = 60 /5

2/5 x = 12

x = 12 ÷ 2/5

x = 12 * 5 /2

x = 60/2

x = 30 portions of salad

Answer:

-68

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

5,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53,56,59,62,65,68

Answer:

A

Step-by-step explanation:

8/2=4

4-3=1

12/2=6

6-3=3

18/2=9

9-3=6

20/2=10

10-3=7

Answer:

Wait, i think it should be A

Step-by-step explanation:

Answer:

C (7, -8)

Step-by-step explanation:

Answer:

A. 1/2

Step-by-step explanation:

First, find how many customers there were:

20 + 12 + 8

= 40

20 customers selected pepperoni only, so to find the probability that they chose pepperoni but not mushrooms, divide the amount by the total:

20/40

= 1/2

So, the probability is 1/2

19th term of an AP = 52

38th term = 128

the sum of the first 56 terms

We know that,

nth term of an AP – a(n) = a + (n - 1)d

Hence,

→ a + (19 - 1)d = 52

→ a + 18d = 52 -- equation (1)

Similarly,

→ a + (38 - 1)d = 128

→ a + 37d = 128 -- equation (2)

Subtract equation (1) from (2).

→ a + 37d - (a + 18d) = 128 - 52

→ a + 37d - a - 18d = 76

→ 19d = 76

→ d = 76/19

→ d = 4

Substitute the value of d in equation (1).

→ a + 18 * 4 = 52

→ a = 52 - 72

→ a = - 20

We know,

Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]

Hence,

→ S(56) = 56/2 * [ 2 (- 20) + (56 - 1) * (4) ]

→ S(56) = 28 * [ - 40 + 55 * 4 ]

→ S(56) = 28 * [ - 40 + 220 ]

→ S(56) = 28 * (180)

→ S(56) = 5040

Hence, the sum of first 56 terms of the given AP is 5040.

I hope it will help you.

Regards.

The sum of the first 56 terms of the given AP is 5040.

The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmetic progression. A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series.

Given that in an AP. 19th term is 52 and 38th term is 128.

nth term of an AP – a(n) = a + (n - 1)d

a + (19 - 1)d = 52

a + 18d = 52 -- equation (1)

Similarly,

a + (38 - 1)d = 128

a + 37d = 128 -- equation (2)

Subtract equation (1) from (2).

a + 37d - (a + 18d) = 128 - 52

a + 37d - a - 18d = 76

19d = 76

d = 76/19

d = 4

Substitute the value of d in equation (1).

a + 18 * 4 = 52

a = 52 - 72

a = - 20

Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]

S(56) = 56/2 * [ 2 (- 20) + (56 - 1) * (4) ]

S(56) = 28 * [ - 40 + 55 * 4 ]

S(56) = 28 * [ - 40 + 220 ]

S(56) = 28 * (180)

\S(56) = 5040

Hence, the sum of the first 56 terms of the given AP is 5040.

To know more about arithmetic progression follow

https://brainly.com/question/6561461

#SPJ2

Answer:

5 eggs

Step-by-step explanation:

Answer: Y=11

Step-by-step explanation: If you divide -8 into -88, you get 11. You can also check buy doing 11 times -8

Answer:admission tickets - 200, and student tickets- 150

Step-by-step explanation:

200x5=1,000 and 150x3=450, therefore 1,000+450=1,450

hope this helps and good luck :)

Answer:

Step-by-step explanation:

For the first part:

[tex](x-7)^2=36\\\sqrt{(x-7)^2}=\sqrt{36}\\[/tex]

(x-7)=±6

so lets take +6 first

x-7=6

x=6+7

x=13

now lets take -6

x-7=-6

x=-6+7

x=1

For the second part:

[tex](x-1)^2=50\\\sqrt{(x-1)^2}=\sqrt{50}\\[/tex]

x-1=±7.07

so lets take +7.07

x-1=7.07

x=7.07+1

x=8.07

now lets take -7.07

x-1=-7.07

x=-7.07+1

x=-6.07

Answer:

A and B

Step-by-step explanation:

Answer:

yeah

Step-by-step explanation:

Answer:

x = 2/3

Step-by-step explanation:

9x +  4 = 6x + 6  

Subtract 4 from both sides

9x + 4 - 4 = 6x + 6 - 4

        9x   = 6x + 2

Subtract 6x from both sides

       9x - 6x = 2

           3x =  2

Divide both sides by 2

             3x/3 = 2/3

x = 2/3

Answer:x=2/3

Step-by-step explanation:

I looked it up on google

Answer:

187.5 miles

Step-by-step explanation:

75 × 2.5 = 187.5

Answer:

(3, - 4 )

Step-by-step explanation:

Given a point (x, y ) on the graph of y = f(x) then the corresponding point on the inverse function is (y, x ), thus

(- 4, 3 ) is a point on f(x), then

(3, - 4 ) is the corresponding point on  (x)

Hope this helps pls give me brainiest if i got tt right

Answer:

boi just use a claculator

Step-by-step explanation:

bye luve

Answer: A 21,369

Explanation I got it right on the test :)

Answer:

$142.50

189.99/4 = 47.49

189.99 - 47.49= 142.40

This is the answer if my math is correct.

41-29=12?? if it is asking for the total amount he received

6 Dollars if it is asking for how much he received per day

Answer:

a & b are parallel to each other. c and d are also parallel to each other

a & c are perpendicular; b and c are also perpendicular

Explanation: Perpendiculars are when two lines meet to make a 90 degrees right angle. Parallel are two lines that never meet at all. Instead, they have the same distance apart across . Think about it as two different streets.