Two lines intersect at exactly 1 point<br> O Sometimes<br> O Always<br> O Never

A share of stocks gained 12 points, then lost 114 points, and then gained 218 points. Find the overall change in its value.

VLD [36.1K]

Answer:

The overall change is 116points gained

Step-by-step explanation:

Points gained = 12points

Points lost = 114points

Points gained = 218points

Unknown:

Overall change in its value = ?

Solution:

The overall change = Total points gained - Total points lost

= (218 + 12) - 114

= 116points

The overall change is 116points gained

7 0

3 years ago

The points (10, -10) and (8, -10) fall on a particular line. What is its equation in slope-intercept form?

blondinia [14]

y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line. This can be obtained by the formula of the slope-intercept form of the line.

<h3>What is its equation in slope-intercept form?</h3>

Linear equation is an equation that models a linear function.

In linear equation the variables are raised to the first power.

Example, Linear equation: 2x + 3, Not a linear equation: x² + 5

The graph of a linear equation contains all the ordered pair that are solutions of the equation.

The equation of a line is given by,

y = mx + c, m is the slope of the equation, c is the y intercept

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$ , y intercept is the y coordinate of the point where y crosses the y axis.

Here in the question it is given that,

The points (10, -10) and (8, -10) fall on a particular line.

We have to find the equation in slope-intercept form.

Slope of the equation will be,

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$ ⇒ m = $\frac{-10 -(-10) }{8 -10 }$ ⇒ m = 0

y-intercept of the equation will be,

y = mx + c ⇒ -10 = 0 + c ⇒ c = -10

The equation of the line in slope-intercept form will be,

y = 0x -10

Hence y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line.

Learn more about slope-intercept form here:

brainly.com/question/9682526

#SPJ9

7 0

2 years ago

Two rays joined at a common endpoint create a

tatyana61 [14]

Answer:

a line segment because it never said anything about a curve

3 0

3 years ago

Read 2 more answers

Simplify the following polynomial and write the answer in standard form. (-2x^3+5x^2-4x+8)-(-2x^3+2x-3)

Masja [62]

$(-2x^3+5x^2-4x+8)-(-2x^3+2x-3)\\\\=-2x^3+5x^2-4x+8-(-2x^3)-2x-(-3)\\\\=-2x^3+5x^2-4x+8+2x^3-2x+3\\\\=(-2x^3+2x^3)+5x^2+(-4x-2x)+(8+3)\\\\=5x^2-6x+11$

4 0

3 years ago

Part A

masya89 [10]

Answer:

Part A) The area of triangle i is $3\ cm^{2}$

Part B) The total area of triangles i and ii is $6\ cm^{2}$

Part C) The area of rectangle i is $20\ cm^{2}$

Part D) The area of rectangle ii is $32\ cm^{2}$

Part E) The total area of rectangles i and iii is $40\ cm^{2}$

Part F) The total area of all the rectangles is $72\ cm^{2}$

Part G) To find the surface area of the prism, we need to know only the area of triangle i and the area of rectangle i and the area of rectangle ii, because the area of triangle ii is equal to the area of triangle i and the area of rectangle iii is equal to the area of rectangle i

Part H) The surface area of the prism is $78\ cm^{2}$

Part I) The statement is false

Part J) The statement is true

Step-by-step explanation:

Part A) What is the area of triangle i?

we know that

The area of a triangle is equal to

$A=\frac{1}{2} (b)(h)$

we have

$b=4\ cm$

$h=1.5\ cm$

substitute

$A=\frac{1}{2} (4)(1.5)$

$Ai=3\ cm^{2}$

Part B) Triangles i and ii are congruent (of the same size and shape). What is the total area of triangles i and ii?

we know that

If Triangles i and ii are congruent

then

Their areas are equal

so

$Aii=Ai$

The area of triangle ii is equal to

$Aii=3\ cm^{2}$

The total area of triangles i and ii is equal to

$A=Ai+Aii$

substitute the values

$A=3+3=6\ cm^{2}$

Part C) What is the area of rectangle i?

we know that

The area of a rectangle is equal to

$A=(b)(h)$

we have

$b=2.5\ cm$

$h=8\ cm$

substitute

$Ai=(2.5)(8)$

$Ai=20\ cm^{2}$

Part D) What is the area of rectangle ii?

we know that

The area of a rectangle is equal to

$A=(b)(h)$

we have

$b=4\ cm$

$h=8\ cm$

substitute

$Aii=(4)(8)$

$Aii=32\ cm^{2}$

Part E) Rectangles i and iii have the same size and shape. What is the total area of rectangles i and iii?

we know that

Rectangles i and iii are congruent (have the same size and shape)

If rectangles i and iii are congruent

then

Their areas are equal

so

$Aiii=Ai$

The area of rectangle iii is equal to

$Aiii=20\ cm^{2}$

The total area of rectangles i and iii is equal to

$A=Ai+Aiii$

substitute the values

$A=20+20=40\ cm^{2}$

Part F) What is the total area of all the rectangles?

we know that

The total area of all the rectangles is

$At=Ai+Aii+Aiii$

substitute the values

$At=20+32+20=72\ cm^{2}$

Part G) What areas do you need to know to find the surface area of the prism?

To find the surface area of the prism, we need to know only the area of triangle i and the area of rectangle i and the area of rectangle ii, because the area of triangle ii is equal to the area of triangle i and the area of rectangle iii is equal to the area of rectangle i

Part H) What is the surface area of the prism? Show your calculation

we know that

The surface area of the prism is equal to the area of all the faces of the prism

so

The surface area of the prism is two times the area of triangle i plus two times the area of rectangle i plus the area of rectangle ii

$SA=2(3)+2(20)+32=78\ cm^{2}$

Part I) Read this statement: “If you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” Is this statement true or false? Why?

The statement is false

Because, the three rectangles are not congruent

The total area of the rectangles is $72\ cm^{2}$ and if you multiply the area of one rectangle by 3 you will get $20*3=60\ cm^{2}$

$72\ cm^{2}\neq 60\ cm^{2}$

Part J) Read this statement: “If you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” Is this statement true or false? Why?

The statement is true

Because, the triangles are congruent

8 0

3 years ago

Two lines intersect at exactly 1 point O Sometimes O Always O Never