The base of the pyramid is a rectangle that is not a
square. Which statements correctly describe the
symmetry of the pyramid? Check all that apply.
The pyramid has four planes of symmetry.
O The pyramid has two planes of symmetry.
An axis of symmetry passes through the vertex and
is perpendicular to the base.
An axis of symmetry passes through the vertex and
through one of the triangular faces of the pyramid.
An angle that measures 90° is an angle of rotation
for an axis of symmetry for the pyramid.
An angle that measures 45° is an angle of rotation
for an axis of symmetry for the pyramid.

The value of the expression 21x + 30y is -9

The equation is given as:

7x+10y=−3

Multiply both sides by 3

3 * 7x + 3 * 10y=−3 * 3

Evaluate the product

21x + 30y = -9

Hence, the value of the expression 21x + 30y is -9

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I assume you meant r(x) = |x-2| -1.

The value of the boolean variable x is 0

The boolean equation is given as:

x . 1 = 0

The above means that:

x and 1 = 0

The law of the and operator is that;

The output is 0 if both inputs are different.

One of the inputs is 1.

So, the other input is 0

Hence, the value of x is 0

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Answer: True: The graph of y=3x²-3 opens up

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex: (0,−3)(0,-3)

Focus: (0,−35/12)

Axis of Symmetry: x=0

Directrix: y=−37/12

X={-2, -1, 0, 1, 2}

Y={9, 0, -3, 0, 9

Step-by-step explanation:

Step-by-step explanation:

A (-2,1) B (3,4) find the gradient of the line

m = -1

we know that=

m/y2 - y 1) / (x2-1)

= (-4-1)/{3-(-2)

=-5/(3+2)

=5/5

= 1

Answer:

A and C

Step-by-step explanation:

solving the equations

A

x² - 4 = 0 ( add 4 to both sides )

x² = 4 ( take square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2 ← required solution

B

x² = - 4 ← has no real solutions

C

4x² = 16 ( divide both sides by 4 )

x² = 4 ( take square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2 ← required solution

D

2(x - 2)² = 0 , then

x- 2 = 0 ( add 2 to both sides )

x = 2 ← not the required solution

Answer:

Answer A and C

Step-by-step explanation:

Let us solve the equations one by one and let us check whether the answers are matching with the answers given in the questions.

A) x² - 4 = 0

   ( x² - 2² ) = 0

   ( x -2 ) ( x + 2 ) = 0

   ∴ x - 2 = 0                   or           x + 2 = 0

      x = 2                                       x = -2               ( Matched )

B) x² = -4

  x = ±√-4  ← no real solutions                    (Not matched )

B)   3x² + 12 = 0

      3 ( x² + 4 ) = 0

      3 ( x² + 2² ) = 0 ← no real solutions      (Not matched)

C) 4x² = 16

Divide both sides by 4.

 x² = 4

 x = ±√4

 ∴ x = 2         or        x = -2       (Matched)

 D) 2 ( x - 2 )² = 0    

      (2x - 4)² = 0

      4x² - 16x + 16 = 0

Divide the whole equation by 4.

   x² - 4x + 4 = 0

 x² - 2x - 2x + 4 = 0

x ( x - 2 ) - 2 ( x - 2 ) = 0

( x - 2 ) ( x - 2) =

∴ x - 2 = 0          or        x - 2 = 0

  x = 2                            x = 2                 ( Not matched )

There are 5 students who are 65 inches or taller. Option C is correct.

Height is defined as the vertical distance between an object's top and bottom. It is measured in centimeters, millimeters, meters, and other units.

The term "height" is frequently used to describe someone's or something's height.

The height of the student in the Spanish class in the data set;

65, 63, 67, 59, 73, 60, 68, 61, 64, 60, 69

Student's heights are 65 inches or taller from the data set are;

65,67,73,68,69

There are 5 students who are 65 inches or taller.

Hence, option C is correct.

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Answer:

The horizontal asymptote is y=1 and

The vertical asymptote is x=5

Answer:

(3y+z)/20

Step-by-step explanation:

Begin by moving 3y to the right side of your equation:

20x=3y+z

Then divide both sides by 20 isolating x on one side of your equation:

x=(3y+z)/20

The required solution of the following equation 20x - 3y = z is

x=(3y+z)/20

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The following equation is

20x - 3y = z

According to given question we have

The equation is

20x - 3y = z

By simplifying we have to solve in terms of x

By move 3y to the right side of your equation:

20x=3y+z

Then divide both sides by 20 isolating x on one side of your equation:

x=(3y+z)/20

Therefore, the required solution of the following equation 20x - 3y = z is

x=(3y+z)/20

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Answer:

Option (1)

Step-by-step explanation:

Angles 2 and 5 are supplementary by the same-side interior angles theorem.

Answer:

Rs 20

Step-by-step explanation:

140%=Rs 70

100%

(100%×Rs 70)÷140%=50

Rs 70-Rs 50=Rs 20

Answer:

The choice A ;

[tex] \frac{1}{ {7}^{8} } [/tex]

Step-by-step explanation:

[tex] \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{ {7}^{ - 6 - 2} }{1} = {7}^{ - 8} = \frac{1}{ {7}^{8} } \\ \\ \\ or. \: \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{1}{ {7}^{ 2 + 6} } = \frac{1}{ {7}^{8} } [/tex]

Hii!

Answer:

Step-by-step explanation:

Use the rule of exponents.

If we divide two numbers with the same bases, we subtract the exponents.

7^-6/7^2=7^-6-2=7^-8

Now, if we have a negative exponent, we flip over the number.

7^-8=1/7^8

Great job!

—

Hope that this helped.

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope. The correct option is C.

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2 , thus its slope is 2 and thus, the slope of the needed line is 2 too.

The next step that Gerald should take is Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.

Hence, the correct option is C.

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The domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0. Then the correct option is C.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

f(x) = 2x – 41

Then the domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0.

Then the correct option is C.

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Answer: it's answer A

Step-by-step explanation:

It's because the line move toward the greater side and the point where the line starts it a solid circle which then the answer is x is greater than or equal to 0 (x≥0)

and remember that when the circle is solid which means that the middle of the circle is black is should be always 'equal' when the middle of the circle isn't fully black that means you just have to put your answer like ">" just that.

Answer:0

Step-by-step explanation:2≠8,10 so we use the bottom formula. We get 4 - 6 + 2=0

Answer: 75 square units

Given:

sin(C) = 1/2

Area of Triangle:

= 1/2 × a × b × sin(C)

= 1/2 × 13 × 23 × 1/2

= 74.75

≈ 75 square units

The amount of charge for one bag of peanuts will be $0.65.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Jose bought 750 bags of peanuts for $375.00.

He intends to sell each bag for $0.15 more than he paid.

Then the amount of charge for one bag of peanuts will be

⇒ $375 / 750 + $0.15

⇒ $0.5 + $0.15

⇒ $0.65

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In the case above, there will be about 6084 different codes and thus would  tree diagram would not be practical in this case because option C.  No, since there are too many choices.

Since there are 26 letters in an alphabet and only  9 digits in the third place is to be used.

Therefore, multiply the total number of alphabet cases is formed using letters in the first two characters and the digit in the third place and thus it will be:

26 × 26 × 9 = 6084

If a person is to show these 6084 cases using a tree diagram, it will be very complex and thus In the case above, there will be about 6084 different codes and thus would  tree diagram would not be practical in this case because option C.  No, since there are too many choices.

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Answer:

  6/x²

Step-by-step explanation:

Rational expressions are added the same way numerical fractions are added. Their sum is the quotient of the sum of numerators, and the common denominator.

__

The given fractions already have the same denominator, so we simply add their numerators.

  [tex]\dfrac{2}{x^2}+\dfrac{4}{x^2}=\dfrac{2+4}{x^2}=\boxed{\dfrac{6}{x^2}}[/tex]

Answer:

the middle of the shape

Step-by-step explanation:

Answer:

a. t = 3 + √15  or  t = 3 - √15

b. t =  6.87  or  t = -0.87

Step-by-step explanation:

a.

Given : t² = 6t + 6

t² = 6t + 6 ⇔ t² - 6t + 6 = 0

USING THE QUADRATIC FORMULA:

[tex]t=\frac{6\pm \sqrt{\left( -6\right)^{2} -4\left( 1\right)(-6) } }{2}[/tex]

Then

[tex]t=\frac{6\pm \sqrt{36 +24 } }{2}[/tex]

Then

[tex]t=\frac{6\pm \sqrt{60 } }{2}[/tex]

Then

[tex]t=\frac{6\pm 2\sqrt{15 } }{2}[/tex]

Then

t = 3 ± √15

Then

t = 3 + √15  or  t = 3 - √15

…………………………………………………

b.

t = 3 + √15 = 6.872983346207 ≈ 6.87

or  t = 3 - √15 = -0.872983346207 ≈ -0.87

Answer:

1,600 seats in the theater

Step-by-step explanation:

well it seems like each row is being increased by 8 seats each time.

we start with 4 seats in the 1st row. 12 in the 2nd. and 20 in the 3rd. I will make a chart showing you how many seats are in each row.

4th row - 28  5th row - 36   6th row - 44   7th row - 52   8th row - 60   9th - 68   10th - 76   11th - 84    12th - 92   13th - 100    14th - 108   15th - 116   16th- 124    17th - 132   18th - 140    19th - 148    20th - 156

if we add these all together you will get 1,600

Answer:

1600 seats

Explanation:

1st row = 4 seats, 2nd row = 12 seats, 3rd row = 20 seats

This is arithmetic progression with first term (a) being 4 and common difference (d) of 8 and total term (n) of 20.

Sum of arithmetic series:

[tex]\sf S_n = \dfrac{n}{2} ( 2a + (n-1)d)[/tex]

insert values

[tex]\sf S_{20} = \dfrac{20}{2} ( 2(4) + (20-1)8)[/tex]

[tex]\sf S_{20} = 1600[/tex]

Answer:

The translation is [tex]X+0[/tex]

Step-by-step explanation:

A translation means the transformation that moves every point in a figure at the same distance in the same direction.

The translation can be described using words like moved up 3 and over 5 to the left or with the notation.

As for the given, there can be no rule described. so the translation is [tex]X+0[/tex]

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The translation is [tex]X+0[/tex]

A translation means the transformation that moves every point in a figure at the same distance in the same direction.

The translation can be described using words like moved up 3 and over 5 to the left or with the notation.

As for the given, there can be no rule described. so the translation is[tex]X+0[/tex]

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Answer:

The y-coordinates do not change under a horizontal stretch. The x-coordinates do not change under a vertical stretch.

Step-by-step explanation:

Step-by-step explanation:

so, in other words, the price is

43.85 + 2.7 + 2.7 - 1.1 - 1.1 - 4.45 =

= 43.85 + 5.4 - 2.2 - 4.45 = 43.85 + 3.2 - 4.45 =

= 43.85 - 1.25 = 42.60

Answer:

[tex]\boxed {D) -\frac{2y}{x}}[/tex]

Step-by-step explanation:

Solving :

[tex]\implies \mathsf {\frac{(-2xy^{2})^{3}}{4x^{4}y^{5}}}[/tex]

[tex]\implies \mathsf {\frac{-8x^{3}y^{6}}{4x^{4}y^{5}}}[/tex]

[tex]\implies \mathsf {\frac{-2y}{x}}[/tex]

Answer:

31

Step-by-step explanation:

x + 149 = 180

x = 180 - 149

x = 31

Answer: 31

Answer:

31°

Step-by-step explanation:

x + 149° = 180°

reason : because they are supplementary angle...

x = 180° - 149°

x = 31°

[tex]...[/tex]