~50 POINTS~

Please help me on these five questions.

Answers

Answer 1

Answer: so if talking about points on a graph then
a. x is made negative or opposite of what it is
basically, the x point would go x units from the zero line in the other way it is currently ie. reflected across the x axis

b. both x and y are positive,
basically the figure would be reflected across the x axis then reflected across the y axis (or y axis then x, doesn't matter)

c. y times 2
y is 2 times as high (gets bigger)

d. 2/3 times x
x is 2/3 as much as it was before (gets smaller)

e. 1/2 x and 1.5 y
x get's half smaller and y gets 1.5 bigger (x gets smaller, y gets bigger)

Answer 2

Answer: A) When x is made negative, it gets reflected over the x-axis.

B) When x and y is made negative, it gets reflected over the x-axis and y-axis.

C) Every y-value from the equation would be multiplied by 2, thus changing the shape of the graph. The slope is divided by 2.

D) Every x-value from the equation would be multiplied by 2/3, thus changing the shape of the graph. The slope is divided by 2/3.

E) x-values are divided by 2 and y-values are multiplied by 1.5.

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To divide fractions, we do Keep, Change, Flip. Keep means that we keep the first fraction the same ( which is 8/1). Then for Change, we change the division sign to a multiplication sign. After that we Flip the second fraction itś reciprocal (or multiplicative inverse).
So your equation would be:

8/1 x 3/1 which equals 24

3 unitsV13 units
2 units
In this right triangle, the length of the hypotenuse, BC, is units:

Answers

Answer:

$\large\boxed{BC=√(13)}$

Step-by-step explanation:

$\text{If}\ a\leq b\leq c\ \text{are lengths of sides of a right triangle, then}\n\na^2+b^2=c^2.\n\n\text{We have:}\ 2<3<√(13)\n\n\text{Substitute:}\n\n2^2+3^2=(√(13))^2\qquad\text{use}\ (√(a))^2=a\n4+9=13\n13=13\qquad\bold{CORRECT}\n\n\text{The hypotenuse is the longest side of a right triangle.}\n\text{Therefore}\ BC=√(13)$

From a board 8 feet in length,Emmet cut two ,2 and 1 over3-foot bookshelves.how much of the board remained?

Answers

Answer:

5 $(2)/(3)$

Step-by-step explanation:

To get how much of the board remained, we simply subtract the length Emmet cut from the initial length of the board

Initial length of the board = 8

Length cut out = 2 $(1)/(3)$

= $(7)/(3)$

Length of board remained = Initial length of board - Length cut out

= 8 - $(7)/(3)$

= $(24-7)/(3)$

= $(17)/(3)$

= 5 $(2)/(3)$

Therefore the length of the board remained is 5 $(2)/(3)$ feet

2 1/3+2 1/3 =4 2/3
8-4 2/3 is 3 1/3.
3 1/3 is your answer.

Can someone help me please and ignore the written problems they are wrong and please attach a picture to the answer...

Answers

16)134,070
17.328,308
18.163,500
19.340,080

The height of a rectangular prism is found by dividing volume, V, by the base area, B. If the volume of the rectangular prism is represented by 6x2 – 2x + 8 and the base area is 2x – 4, which expression represents the height? 3x + 5 – 3x – 7 + 3x + 5 + 3x – 7 –

Answers

Answer:

$(3x+5)+(28)/(2x-4)$

Step-by-step explanation:

Since,

The volume of a rectangular prism = Base area × Height,

Given,

Volume of the rectangular prism = $6x^2-2x+8$

Base area = 2x - 4

Let h be the height,

$\implies 6x^2-2x+8=(2x-4)h$

$\implies h = (6x^2-2x+8)/(2x-4)$

By long division ( shown below ),

$h=(3x+5)+(28)/(2x-4)$

Which is the required expression that represents the height.

Answer:

$(3x+5) + (14)/(x-2)$

Step-by-step explanation:

We are given the following information in the question:

Volume of rectangular prism =

$6x^2 - 2x + 8$

Area of base of prism =

$2x -4$

Formula:

$\text{Volume of Prism} = \text{Area of base}* \text{Height of prism}\n\n\text{Height of prism} = \displaystyle\frac{\text{Volume of Prism} }{\text{Area of base}}$