Find th equation of the line below.If necessary, use a slash to indicate a division bar..(2,14) (1,7)

Answers

Answer 1

Answer: $(2,14), \ \ (1,7)\n\n\n First \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \n \n m= (y_(2)-y_(1))/(x_(2)-x_(1) ) \n \nm=( 7-14)/(1-2) = ( -7)/(-1)=7 \n \n Use \ point \ form \ of \ a \ line\ with \ one \ point: \n \n y-y_(1) =m(x-x _(1)) \n \nm=7, \ \ x_(1)=2, \ \ y_(1)=14\n\ny-14 =7(x-2)\n\ny = 7 x-14+14 \n\n y=7x$

Answer 2

Answer: General equation for line:
y=ax+b
Putting those points to equation:
(2,14)
14=a*2+b
(1,7)
7=a+b
From substituting method:
a=7-b
14=(7-b)*2+b
14=14-2b+b
b=0
a=7
y=7x - result

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What is the greatest common factor of 18 and 35

Answers

The greatestcommonfactor of 18 and 35 is 1.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the liketerms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The greatestcommonfactor of 18 and 35.

Now,

See all the factors of 18.

= 1, 2, 3, 6, 9, and 18.

See all the factors of 35.
= 1, 5, 7, and 35.

We see that,

The greatestcommonfactor is 1.

Thus,

The greatestcommonfactor of 18 and 35 is 1.

Learn more about expressions here:

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We found the factors and prime factorization of 18 and 35. The biggest common factor number is the GCF number. So the greatest common factor 18 and 35 is 1.

A store is having a sale on walnuts and chocolate chips. For 4 pounds of walnuts and 8 pounds of chocolate chips, the total cost is $25. For 2 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $10. Find the cost for each pound of walnuts and each pound of chocolate chips.

Answers

Answer:

The cost of each pound of walnuts is $1.25 and each pound of chocolate chips is $2.50

Step-by-step explanation:

Let,

x be the price per pound of walnuts

y be the price per pound of chocolate chips

According to given statement,

4x+8y=25 Eqn 1

2x+3y=10 Eqn 2

Multiplying Eqn 2 by 2

2(2x+3y=10)

4x+6y=20 Eqn 3

Subtracting Eqn 3 from Eqn 1

(4x+8y)-(4x+6y)=25-20

4x+8y-4x-6y=5

2y=5

Dividing both sides by 2

$(2y)/(2)=(5)/(2)\ny=2.50$

Putting y=2.50 in Eqn 2

2x+3(2.50)=10

2x+7.50=10

2x=10-7.50

2x=2.50

Dividing both sides by 2

$(2x)/(2)=(2.50)/(2)\nx=1.25$

Hence,

The cost of each pound of walnuts is $1.25 and each pound of chocolate chips is $2.50

How many solutions does the nonlinear system of equations graphed below have? A. Zero B. One C. Two D. Four

Answers

Answer:

D, 4

Step-by-step explanation:

The graph crosses the x-axis 4 different times

Casey bought 3/8 pound of plums and 5/12 pound of bananas. How many pounds of fruit did he buy?

Answers

Answer:

19/24 pounds

Step-by-step explanation:

To find the total number of pounds, we should add 3/8 and 5/12. They both have different denominators, so we have to find the least common multiple between 12 and 8. The least common multiple between 12 and 8 is 24. 12 should be multiplied by 2 to get 24 (5 too) and 8 should be multiplied by 3 to get 24 (3 too).

$(3)/(8) + (5)/(12)$

$(3 * 3)/(8 * 3) + (5 * 2)/(12 * 2)$

$(9)/(24) + (10)/(24)$

$(19)/(24)$

What is the slope equation? Drag and drop answers

Answers

Answer:

y = 2x + 9

Step-by-step explanation:

The y-intercept:9

Slope:2x

HELP ASAP THIS IS STRESSING ME OUT! A right circular cylinder has a surface area of 96π in2 and a radius of 4 in. What is the height of the cylinder?
A. 8 in.
B. 6 in.
C. 16 in.
D. 24 in.

Answers

The surface area of a right cylinder is the sum of the areas of the lateral face and the circular bases. The lateral face is really just a rectangle with the same height as the cylinder and a length equal to the circumference of the circular base.

If the radius of the base is $r$ and the height is $h$ , then the surface area of the cylinder is

$A=2\pi r^2+2\pi rh$

You're given that the area is $96\pi$ and the radius is $4$ , so you have

$96\pi=2\pi*4^2+2\pi*4h\implies 12=4+h\implies h=8$

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