An image of a rectangular prism is shown below. Part A: A cross section of the prism is cut with a,plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer. Part B: If a cross section of the prism is,cut diagonal to the base, What would be the shape,of the resulting cross section? Show your work​

Answer:

[tex]y=-\frac{5}{2}x-24[/tex]

Step-by-step explanation:

[tex]2x-5y=-12\\5y=2x+12\\y=\frac{2}{5}x+\frac{12}{5}\\[/tex]

if two lines perpendicular,

[tex]m_{1} .m_{2}=-1\\ \frac{2}{5} .m_{2}=-1\\m_{2}=-\frac{5}{2}[/tex]

the line perpendicular to this line is

[tex]y=-\frac{5}{2}x+k[/tex] ; k ∈ R

the line passes through the point (10,-1)

so,

[tex]-1=-\frac{5}{2} (10)+k\\-1=-25+k\\k=-24[/tex]

∴the equation of the line perpendicular to 2x-5y=-12 that passes through the point (10,-1) is

[tex]y=-\frac{5}{2}x-24[/tex]

Answer:

yea I cant really do this over a screen

Answer:

16) photo

Step-by-step explanation:

- parallel lines never meet (a, b, c have no points in common)

- perpendicular lines meet other lines at one point, forming two angles of 90 °

Answer:

m is the slope and b is the y intercept

Step-by-step explanation:

Answer:

60.4 steps per minute

755 divided by 25/2 (12 1/2) equals 60.4

Step-by-step explanation:

a×10⁰×a

Since, m⁰=1 therefore

a×1×a

a²

a × 10⁰ × a = a × 1 × a = a × a = a²

Answer:

8

Step-by-step explanation:

-16-8=8

Answer:

8x-7

Step-by-step explanation:

-11 + 8x - 2 + 6

8x-7 .........

Answer:

17

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]8^{2}[/tex] +[tex]15^{2}[/tex] =[tex]c^{2}[/tex]

64  + 225 = [tex]c^{2}[/tex]

289 = [tex]c^{2}[/tex]

[tex]\sqrt{289}[/tex] = [tex]\sqrt{c^{2} }[/tex]

17 = c

Answer:

150

Step-by-step explanation:

3×0=0

3×1=3

3×2=6

3×3=9

....

3×50=150

Answer:

41 x 18 = 738 + 14 = 752

Step-by-step explanation:

Its says that there 42 rows .First row has 14 seats and the rest of 41 rows has with + 4 more so every row has 18 seats ,and asks how many seats are in total in the theater . To show that you understood the question you have to multiply 41x18 which gives 738 and then add + 14 from the first row so you can find out how many seats are in total .Hope that helps .

Answer:

X=-5/3

Step-by-step explanation:

Step-by-step explanation:

Distance = √(x_2 - x_1)² + (y_2 - y_1)²

Distance = √[(-a) - a]² + (b - b)²

Distance = √[-2a]² + (0)²

Distance = √4a²

Distance = 2a

Answer:

[tex] \frac{x}{3} + 7 = 10 \\ \frac{x}{3} = 10 - 7 \\ \frac{x}{3 } = 3 \\ x = 3 \times 3 \\ x = 9 \\ thank \: you[/tex]

Answer:

x=9

Step-by-step explanation:

x/3 +7 = 10

Subtract 7 from each side

x/3 +7-7 = 10-7

x/3 = 3

Multiply each side by 3

x/3*3 = 3*3

x=9

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

Step-by-step explanation:

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero

Step-by-step explanation:

Answer:

x = -25

Step-by-step explanation:

[tex]3 - \frac{x}{5} = 8[/tex]

[tex]5(3 - \frac{x}{5} ) = 5 \times 8[/tex]

[tex]5 \times 3 - 5 \times \frac{x}{5} = 5 \times 8[/tex]

[tex]15 - 5 \times \frac{x}{5} = 40[/tex]

[tex]15 - x = 40[/tex]

[tex] - x = 40 - 15[/tex]

[tex] - x = 25[/tex]

[tex]x = - 25[/tex]

Answer:

x = - 25

Step-by-step explanation:

Given

3 - [tex]\frac{x}{5}[/tex] = 8 ( subtract 3 from both sides )

- [tex]\frac{x}{5}[/tex] = 5 ( multiply both sides by 5 to clear the fraction )

- x = 25 ( multiply both sides by - 1 )

x = - 25

Answer:

You cant check your answer by yourself

if your procces is Right then obviously your answer will be correct

I hope you will understand

thank you

jay Nepal

I hope it helps you

An compound inequality that describes the acceptable weights for a 20 oz box is 19.25 ≤ x ≤ 20.75.

The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To determine the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.

We are Given that, cereal manufacturer has a tolerance of 0.75 oz for a box of cereal that is supposed to weigh 20 oz.

Let the weight of cereal box be; w

Now, the inequality is

20-0.75 ≤ x ≤ 20+0.75

Add 20 on both sides of an inequality, we get

19.25 ≤ x ≤ 20.75

Here, 19.25 ≤ x ≤ 20.75

Therefore, an absolute value inequality to find the range of acceptable weights is 19.25 ≤ x ≤ 20.75.

To learn more about an absolute value visit:

brainly.com/question/1301718.

#SPJ2

Answer:

3a^2+8/6a^2

Step-by-step explanation:

there ya go hope this helps

Answer:

6/13

Step-by-step explanation:

6    +   6    =    12            3

----                    ----    =    ---

13     -   5    =     8            2

Answer:

Step-by-step explanation:

Let Numerator be : x

Denominator be : x + 7

Now,

Numerator = x + 6

Denominator = ( x + 7) - 5

According to the question,

[tex] \displaystyle \: \sf \dashrightarrow \: \frac{x + 6}{(x + 7) \: - 5} = \: \frac{3}{2} [/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2(x + 6) \: = 3 \{ \: (x + 7 ) - 5\} \: [/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2x \: + 12 \: = \: 3(x + 2)[/tex]

[tex]\displaystyle \: \sf \dashrightarrow2x + 12 \: = 3x + 6[/tex]

[tex]\displaystyle \: \sf \dashrightarrow \: 2x - 3x \: = \: 6 - 12[/tex]

[tex] \: \: \: \displaystyle \: \sf \dashrightarrow \: - x \: = - 6 \\ \\ \: \: \: \: \: \: \displaystyle \: \bf \dashrightarrow \: x \: = 6[/tex]

Numerator = 6

Denominator = x + 7

= 6 + 7

= 13

Thus ,

[tex]\: \bf { \red{ \underline{\dashrightarrow \: obtained \: rational \: number \: = \: \frac{6}{13} }}}[/tex]

[tex] \pink{\rule{160pt}{5pt}}[/tex]

Answer:

A and C

Step-by-step explanation:

Keeping A constant and increasing B.

increasing A and keeping B constant.

The correct option is (A) and (C)

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given:

A^B(B +2)

As, both are in ratio of multiplication and B is also the power for A.

There is no possible of decreasing the quantity.

Hence, if A is constant then B increasing and B is constant then A is increasing .

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ5

Answer:

95+d

Step-by-step explanation:

Answer:

7 quarts

Step-by-step explanation:

you subtract the amount that the first aquarium can hold from the second amount

Answer:

1.6667

Step-by-step explanation:

It took awhile to get this

Answer:

-2

Step-by-step explanation:

Answer:  1  1/2

You can write this as 1 & 1/2

The whole part is 1. The fractional part is 1/2

==========================================================

Explanation:

Let's say we had 18 cookies to hand out to 12 students.

How many cookies does each student get?

Using a calculator shows that 18/12 = 1.5 which means they get one whole cookie each

The leftovers is 18-12 = 6

Then notice how 6/12 = 1/2

So that's how the improper fraction 18/12 becomes the mixed number 1 & 1/2

So each student gets 1 full cookie, plus half a cookie.

------------------

Or we could do the problem like this

18/12 = (12+6)/12

18/12 = (12/12)+(6/12)

18/12 = 1 + (1/2)

18/12 = 1 & 1/2

Step-by-step explanation:

Qualitative data are discrete, for instance, "Yes/No" type questions. They are usually presented in bar charts or pie charts to show the portion of different populations with certain characteristics in a single experiement (e.g. Not allergic to ginger VS allergic to ginger).

Qualitative data are usually continuous, and can show a trend or distribution numerically. They are usually presented by, for instance, line charts (e.g. Distribution of resident age in block E)