The figure below shows a hexagonal prism. Imagine a cross-section of the prism formed by a plane that is perpendicular to the bases of the prism. What must be true about the cross section.

Answer:

C on edge

Step-by-step explanation:

The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

given that,

the function is,

y=6tan (x/2)-3

we know that,

the x-intercepts of the graph of the function, we put y = 0

so, we get,

6tan (x/2)-3 = 0

or, tan (x/2) = 3/6

or, tan (x/2) = 1/2

or, x/2 = 0.4636

The period of tangent is π, so we have,

x/2 = 0.4636 + nπ

or, x =  (0.9273 +2nπ)

Hence, The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.

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8x+15=dx-20

8x+15+20=dx

8x+35=dx

d=​8x+35 /x

12(7+2y)=4y-(3-ty)

12(7+2y)=4y−3+ty

12(7+2y)−4y=−3+ty

12(7+2y)−4y=ty−3

12(7+2y)−4y+3=ty

t= ​12(7+2y)−4y+3 /​y

​

15+x(3t-4)=8(-2t+11) SOLVING FOR X

15+x(3t-4)=8(-2t+11)

x= ​8(−2t+11)−15 /​3t−4

x= −16t+73 /​3t−4

Hope this helps!God bless you and have a wonderful day!

Answer:

Step-by-step explanation:

Give the other guy brainiest

Answer:

Find out yourself buddy XD

Answer:

his average speed was 60 miles per hour

Step-by-step explanation:

their are three ways to get the answer

1. if you take the 0 away from 240 it becomes 24, and 24 divided by 3 = 6 add the the 0 back in and you get 60.

2. 240 divided by 3 = 60

3. Use a calculator

Answer:

9-28= 21

Step-by-step explanation:

She made profit because she lost 9 dollars, and then gained 28$ back, which would then equal to $21, so Andrea made a profit of $21.

Answer:

1

Step-by-step explanation:

Answer:

y-9=0(x-1)

Step-by-step explanation:

first, find the slope with m=y2-y1/x2-x1

11-9=2

1-1=0

2/0 is undefined so i think you have to use 0

sorry if im wrong

i find it difficult when there is no slope

Answer: A) True because the leading coefficient is negative

Explanation:

The leading term is -x^2 since this term has the largest exponent.

The leading coefficient is -1 as it's the coefficient of the leading term.

It might help to write -x^2 as -1x^2

The negative leading coefficient makes the parabola open downward, so each endpoint goes off to negative infinity. The graph looks like a frowny face. You can think of a negative emotion going with a frowny face, so that negative emotion matches with the negative leading coefficient. There are probably other ways to remember but that's the trick I use.

Answer:3/20

Step-by-step explanation:

3/4/ 5/1

3/4 x 1/5 =3/20

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend,  total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

[tex]x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)[/tex]

from (i), [tex]x=84-4y-2z[/tex]    (*)

put this in (ii) and (iii) we get

[tex]2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)[/tex]

from (iv), [tex]y=-\frac{z-92}{7}\ (vi)[/tex]

[tex]\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)[/tex]

[tex]-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8[/tex]

[tex]\mathrm{Subsititute\:}z=8\text{ in (vi)}[/tex]

[tex]y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12[/tex]

[tex]\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}[/tex]

[tex]x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20[/tex]

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Answer:

-x-3 = y

Step-by-step explanation:

Answer:

-63/28 or 2 1/4

Step-by-step explanation:

when dividing you will be multiplying by the reciprocal of the second fraction. SO it will be...

-9/14 times 7/2

this is... -63/28

Answer:

-9/4

Step-by-step explanation:

   -9

  -----

   14

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

     2

    ----

      7

To divide -9/14 by 2/7, invert 2/7 and multiply instead:

   -9        7

 ------- * -----

   14        2

Reducing, we get:

(-9)(1)

---------  = -9/4

(2)(2)

Answer: 9, 18, 21, and 23 respectively

Step-by-step explanation:

To solve any problem like this, you want to assign a variable to each child because you dont know their age. So lets write an equation and assign variables to these children.

r = first child (youngest)

x = second child

y = third child

z = fourth child (oldest)

We know that r + x + y + z = 71

We also are given info on the comparisons of their ages.

r = r

x = 2r (2 times the youngest)

y = 12 + r (12 more than the youngest)

z = 3r - 4 (4 less than 3 times the youngest)

That was the easy part tbh, now we have to solve for 'r'. We can see that all the ages are a function of the same variable (r), and we know the sum of them is equal to 71. So lets solve for r and then plug that r value into each equation we just derived.

Child #1 (youngest)

[tex]r+2r+(12+r)+(3r-4)=71\\3r+12+r+3r-4=71\\7r+12-4=71\\7r+8=71\\7r=63\\r=9yrs[/tex]

Child #2

[tex]x=2*9=18yrs[/tex]

Child #3

[tex]y=12+r=12+9=21yrs[/tex]

Child #4 (oldest)

[tex]z=3r-4=(3*9)-4=27-4=23yrs[/tex]

Fact Check:

[tex]9+18+21+23=71[/tex]

Answer:

Every straight line can be represented by an equation: y = mx + b. ... The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Answer:

Step-by-step explanation:

a

Answer:yes

Step-by-step explanation:kubjubjugjugjugjugjugjugju

Answer:

I hope this helps!

Answer:

answer A

Step-by-step explanation:

i got it right on the test

Answer:

2.5

Step-by-step explanation:

just trust me it 2.5

Answer:

a: y=-1/2x-3/2

b: y= -4x+2

Step-by-step explanation:

Answer:

-50.1

Step-by-step explanation:

The height of the roller coaster at the bottom of the cavern is 50.1 feet down from the ground level.

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

Given that,

Subterranean roller coaster rises up to 50.6 feet above the ground before dropping 100.7 feet into an underground cavern.

So the height of the roller coaster when it rises is 50.6 feet from the ground .

After that it drops to 100.7 feet into an underground cavern.

Height of the roller coaster now = 50.6 - 100.7

                                                      = -50.1 feet

Negative sign indicates that it is below the ground level.

Hence the height of the roller coaster at the bottom of the cavern is -50.1 feet.

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Answer:

$3

Step-by-step explanation:

80% of 15 is 12

15-12=3

Answer:

x>6

Step-by-step explanation:

answer is above

Answer:

x>6

Step-by-step explanation:

3x/2 - 2 > 7

+2>+2

3x/2>9

2(3x/2)>(9)2

3x>18

3x/3>18/3

x>6

Answer:

30

Step-by-step explanation:

Step 1:

5x + 10 = 6x - 20       Equation

Step 2:

10 = x - 20        Subtract 5x on both sides

Step 3:

10 + 20 = x        Add 20 on both sides

Answer:

x = 30

Hope This Helps :)

Answer: x=30

Step-by-step explanation:

Answer:

0.0637

Step-by-step explanation:

hope this helps :)

6.37 x 10⁻² in the standard form is 0.0637.

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

We have an expression,

6.37 x 10⁻².

Simplifying to standard form.

6.37 x 10⁻²,

= 6.37 x 1/100

= 6.37/100

= 0.0637

Therefore, 0.0637 is the standard form.

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Answer:

multiply 12 and 3 and your answer should b36.

Step-by-step explanation:

is this carret

Answer:

7,-10

Step-by-step explanation:

Answer:

-20 & -1

Step-by-step explanation:

-20+-1=-21

-20*-1=20

Answer:

-162

Step-by-step explanation:

that the answer

Answer:

-162

Step-by-step explanation:

Multiply: −4 + [12 × (−8)] – 62

Remover parentheses: -4 + (-96) – 62

Calculate sum: -4 – 96 – 62

Answer:

i can

Step-by-step explanation:

Answer: 10 times 8 and 8 times 10

Step-by-step explanation:

those are the first in the multiplication table that have the same digits

Answer:

El área de un cuadrado de lado L es:

A = L*L

Y sabemos que si el cuadrado menor tiene lado de largo L, entonces el cuadrado mayor tiene lado de largo 2*L - 1ft

Área menor = L*L = L^2

Área mayor = (2L - 1ft)*(2L - 1ft)

El área total es igual a la suma de ambas áreas:

121 ft^2 = L^2 + (2L - 1ft)*(2L - 1ft) = L^2 + 4*L^2 - 2ft*L + 1ft^2

Ahora podemos resolver esto para L.

121 ft^2 = 5*L^2 - 2ft*L + 1ft^2

0 = 5*L^2 - 2ft*L - 120 ft^2.

Usando la formula de Bhaskara, las soluciones son:

[tex]L = \frac{2ft +- \sqrt{(2ft)^2 - 4*5*(-120ft^2)} }{2*5} = \frac{2ft +- 49ft}{10}[/tex]

Las dos soluciones son:

L = (2ft + 49ft)/10 = 51ft/10 = 5.1ft

L = (2ft - 49ft)/10 = -4.7 ft

Como estamos hablando de el largo de algo, la única opción que tiene sentido es la positiva.

Entonces el largo de los lados del cuadrado menor es L = 5.1 ft

El largo de los lados del cuadrado mayor es M = 2*5.1ft - 1ft = 9.2ft