The line passing through (11,y) and (2,0)is parallel to the line joining (7,5) and (-2,2). Find y.

Answers

Answer 1

Answer:

Answer: y = 3

Step-by-step explanation:

Two lines are said to be parallel if they have the same slope. All we need to do is to find the slope of each line . The formula for finding slope is given as :

m = $(y_(2)-y_(1))/(x_(2)-x_(1))$

For the first line

$x_(1)$ = 11

$x_(2)$ = 2

$y_(1)$ = y

$y_(2)$ = 0

substituting into the formula , we have

m = $(0 - y)/(2 - 11)$

m = $(-y)/(-9)$

m = $(y)/(9)$

Also Finding the slope of the second line we have

$m_(2)$ = $(2-5)/(-2 - 7)$

$m_(2)$ = $(-3)/(-9)$

$m_(2)$ = $(1)/(3)$

Since the two lines are parallel , we will equate their slope , that is

$(y)/(9)$ = $(1)/(3)$

3y = 9

y = 3

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Harry and Terry are each told to calculate 8−(2+5)8−(2+5). Harry gets the correct answer. Terry ignores the parentheses and calculates 8−2+58−2+5. If Harry's answer is HH and Terry's answer is TT, what is H−TH−T?

Answers

Harry's Answer:
8-(2+5)8-(2+5) = 8-(16+40)-(2+5) ⇒ 8 - 16 - 40 - 2 - 5 = -55

Terry's Answer:
8 - 2 + 58 - 2 + 5 = 67

H = -55
T = 67

H - TH - T

-55 - (67*-55) - 67 = -55 - (-3685) - 67 = -55 + 3685 - 67 = 3,563

Christina's ice cream parlor sold 60 vanilla cones on the first day of summer. If the goal is to increase the number of vanilla conessold each day by 4. how many will be sold 20 days later?
The solution is

Answers

The number of vanilla cone she christina's sold after 20 day is 138.

Christina's ice cream parlor sold 60 vanilla cones on the first day of summer.
If the goal is to increase the number of vanilla cones sold each day by 4

What is arithmetic progression?

Arithmetic progression is the series of number that have common difference between adjacent numbers.

Christina sold 60 vanilla cone at her first day. a=60
now each day is sells increase by 4 cones
so we common difference D = 4
The progression can be given as
S = a + (n-1)D
for 20th day = 60+(20-1)4
= 138

Thus the required number of vanilla cone she christina's sold after 20 day is 138.

Learn more about arithmetic progression here:
brainly.com/question/20334860

#SPJ2

Answer:

formula: 60x4(to the power of 20)

You have an initial amount of $45 in a savings account and you deposit an equal amount into the account each week. After 5 weeks the account holds $105. Write an equation that represents the amount yy (in dollars) of money in the account after xx weeks

Answers

y = 45+12x , this the answer

-3x+9y=-27 in y-intercept form

Answers

mx+y=b so is gotta be b if im wrong im sorry

Identify the vertex, the axis of symmetry, the maximum or minimum value, and the range of the parabola.yequalsxsquaredplus2xplus1
The vertex is
nothing. (Type an ordered pair.)

Answers

Answer:

Vertex = (-1, 0)

The axis of symmetry is x = -1

Minimum point is (-1, 0)

Range is y ≥ 0

In the interval notation [0, ∞)

Step-by-step explanation:

The given function is y = x^2 +2x + 1.

Write the given equation in the form of y = (x -h)^2 + k.

Here (h,k) is the vertex.

y = x^2 + 2x + 1

y = (x + 1)^2

Vertex = (-1, 0)

Axis of symmetry

The axis of symmetry splits the parabola in 2 equal parts.

In this equation, the axis of symmetry is x = -1

Maximum/minimum value

The parabola goes maximum when there is negative sign, it goes minimum when there is positive sign.

Here we have positive sign in front of (x + 1)^2, therefore, it is minimum at

y= 0

When y =0, x = -1

Therefore, minimum point is (-1, 0)

Range

Y- axis represents the range.

Here the minimum is 0, the maximum goes upto infinity.

Range is y ≥ 0

In the interval notation [0, ∞)

Herewith I have attached the graph of the function.

Y = x^2 + 2x + 1
Convert to vertex form by completing the square
(2/2)^2 = 1
(X^2+2x+1) -1 +1
Y = (X + 1)^2
The vertex is (1,0) because we have no + q, and we have 1 as our p, and since I don’t know any of the points in order to figure out the vertical stretch, this is the final answer.

Hope this helped!!!

Find the equation of the line that is a vertical line that passes through(-6, -1)