The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) + 1. Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g horizontally shifted left 1 unit. B. The graph of h is the graph of g horizontally shifted right 1 unit. C. The graph of h is the graph of g vertically shifted down 1 unit. D. The graph of h is the graph of g vertically shifted up 1 unit.

Answer: AB= 24 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case CB ) and a and b are the other sides.  

Replacing with the values given:  

CB^2 = CA^2 + AB^2  

25^2 = 7^2 + x^2  

Where x is the value that we are searching for..

625= 49 + x^2

625 -49 = x^2

576 = x^2

√576 = x

24 = x

So, AB= 24 ft  

Feel free to ask for more if needed or if you did not understand something.  

Answer:

B.) False

Step-by-step explanation:

A regular tessellation is a pattern made by repeating a regular polygon. But in this image, it is a demiregular tessellations. Demiregular tessellations are a set of tessellations made from 2 or more regular polygon faces.

Hope this helps you out! : )

The given illustration is not example of a regular tessellation due to overlapping of polygons which is option(B) false.

A regular tessellation is defined as consist of a repeating pattern of one or more regular polygon. There are a few qualifications for a pattern to be a tessellation. These include:

Regular polygon cannot overlap.

Regular polygon cannot have space between them.

The patterns are created by rotating, translating, or reflecting the shapes.

Hence, the given illustration is not example of a regular tessellation due to overlapping of polygons.

Learn more about regular tessellation here:

https://brainly.com/question/12926513

#SPJ5

Answer:

B)

Focus = (6,6), directrix is y = 4

Step-by-step explanation:

A parabola is the locus of a point that is equidistant from a fixed line (known as directrix) and a fixed point (known as focus).

The equation of a parabola in vertex form is given as:

[tex]y=a(x-h)^2+k[/tex]

It can be further simplified to:

[tex](x-h)^2=4p(y-k)[/tex]

The directrix of this parabola is given at line y = k - p and the focus is at (h, k + p)

Given that:

[tex]y = \frac{1}{4}(x-6)^2+ 5 \\(y-5)=\frac{1}{4}(x-6)^2\\(x-6)^2=4(y-5)[/tex]

Comparing (x-6)² = 4(y-5) with (x-h)² = 4p(y-k), It can be gotten that h = 6, p =1 and k = 5

The directrix of this parabola is given at line y = k - p = 5 - 1 = 4 and the focus is at (h, k + p) =  (6, 5+1) = (6, 6)

Focus = (6,6), directrix is y = 4

Answer:

translation

Step-by-step explanation:

Answer:

Given that,

Slope of line A=2/5

We know that , slope of perpendicular line is product of slopes.

i.e. M1 • M2=-1

[tex] m1 = \frac{2}{5} \: \: [/tex]

m2=?

Now,

[tex] \frac{2}{5} \times m2 = - 1 \\ or \: m2 = - 1 \times \frac{5}{2} \\ \: m2 = - \frac{ 5}{2} [/tex]

Therefore, Slope of line B is -5/2.

Hope this helps..

Good luck on your assignment..

Answer:

8/5x + 5 = -19

8/5x = -24 (Subtract 5)

x = -15 (Multiply by 5/8)

Answer:

-62

Step-by-step explanation:

Use BPEMDAS (Brackets, Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction) or use a calc.

-(2) + (12)(-5)

-2 + -60

-62

Answer:

Step-by-step explanation:

-(-(-2)) + ( -3)(-4)(-5) = -2 - (3*4*5)  = -2 - 60 = -62

In multiplication, count the number of negative. If number of negative is odd, the result will have negative sign

Answer:

17.5

Step-by-step explanation:

A = [tex]\frac{pq}{2}[/tex]

p = 7

q = 5

7 x 5 = 35

35 ÷ 2 = 17.5

Answer:

The correct answer is 70 square units I took the test and got it right! Good luck! God bless you!

Step-by-step explanation:

Answer:

The required graph is shown below.

Step-by-step explanation:

The given equation is

[tex]4x-3y=12[/tex]

To draw the graph we need at least two points which satisfy the given equation.

At x=0,

[tex]4(0)-3y=12[/tex]

[tex]-3y=12[/tex]

[tex]y=\dfrac{12}{-3}[/tex]

[tex]y=-4[/tex]

At y=0,

[tex]4x-3(0)=12[/tex]

[tex]4x=12[/tex]

[tex]x=3[/tex]

So, (0,-4) and (3,0) are two solutions of the given equation. Plot these two points on the coordinate plane and connect them by a straight line.

The required graph is shown below.

we also need the vertical distance between the original spot and the ground to solve this,

Answer:

tan 35° = \frac{4m}{r}

Step-by-step explanation:

Tan is the length of the opposite leg over the length of the adjacent length and for angle 35 4 was the length of the opposite leg and r was the length of the adjacent leg

Answer:

1.  perim is 43.2

2. where are the blanks? dont see any

Step-by-step explanation:

Answer:

1) [tex]\boxed{x > 5}[/tex]

2) [tex]\boxed{x \geq -12}[/tex]

3) [tex]\boxed{x \leq -2}[/tex]

4) [tex]\boxed{x > 15}[/tex]

5) [tex]\boxed{x < -8}[/tex]

6) [tex]\boxed{x \geq -19}[/tex]

7) [tex]\boxed{x \geq 2}[/tex]

8) [tex]\boxed{x > 9}[/tex]

9) [tex]\boxed{ x \leq - 4}[/tex]

10) [tex]\boxed{x < 7}[/tex]

Step-by-step explanation:

1) [tex]2x-7 > 3[/tex]

Adding 7 to both sides

=> 2x > 3+7

=> 2x > 10

Dividing both sides by 2

=> x > 5

2) [tex]\frac{x}{4} + 11 \geq 8[/tex]

Subtracting 11 to both sides

[tex]\frac{x}{4} \geq 8 -11\\\frac{x}{4}\geq -3[/tex]

Multiplying both sides by 4

x ≥ -3 * 4

x ≥ -12

3) -6x+7 ≥ 19

Subtracting 19 to both sides

=> -6x ≥ 19-7

=> -6x ≥ 12

Dividing both sides by -6

=> x ≤ -2

4) -10 + 4x > 50

Adding 10 to b.s

=> 4x > 50+10

=> 4x > 60

Dividing b.s by 4

=> x > 15

5) [tex]\frac{x}{-2} - 17 > -13[/tex]

[tex]\frac{x}{-2} - 17 > -13\\Adding \ 17 \ to \ both \ sides\\\\\frac{x}{-2} > -13+17\\\\\frac{x}{-2} > 4\\Multiplying both sides by -2[/tex]

=> x < 4*-2

=> x < -8

6) 8 - 2x ≤ 46

Subtracting 8 from b.s

=> -2x ≤ 46-8

=> -2x ≤ 38

Dividing b.s by -2

=> x ≥ -19

7) -13x+1 ≤ -25

Subtracting 1 from both sides

=> -13x ≤ -25-1

=> -13x ≤ -26

Dividing both sides by -13

=> x ≥ 2

8) [tex]-7 + \frac{x}{3} > -4[/tex]

Adding 7 to b.s

=> x/3 > -4+7

=> x/3 > 3

Multiplying 3 to b.s

=> x > 3*3

=> x > 9

9) -9x-19 ≥ 17

Adding 19 to both sides

=> -9x ≥ 17+19

=> -9x ≥ 36

Dividing both sides by -9

=> x ≤ -4

10) 16 - x > 9

Adding x to both sides

=> 16 > 9 + x

Subtracting 9 from both sides

=> 16 - 9 > x

=> 7 > x

OR

=> x < 7

NOTE: Whenever, we divide the inequality by a negative signed term, the inequality changes to its opposite.

Answers:

[tex]\boxed{x > 5}\\ \boxed{x \geq -12}\\\boxed{x \leq -2}\\\boxed{x > 15}\\\boxed{x < -8}\\\boxed{x \geq -19}\\ \boxed{x \geq 2}\\\boxed{x > 9}\\\boxed{ x \leq -4}\\ \boxed{x < 7}[/tex]

Step-by-step explanation:

2x - 7 > 3

2x > 10

x > 5

x/4 + 11 ≥ 8

x/4 ≥ -3

x ≥ -12

-6x + 7 ≥ 19

-6x ≥ 12

x ≤ -2

-10 + 4x > 50

4x > 60

x > 15

-x/2 - 17 > -13

-x/2 > 4

-x > 8

x < -8

8 - 2x ≤ 46

-2x ≤ 38

x ≥ -19

-13x + 1 ≤ -25

-13x ≤ -26

x ≥ 2

-7 + x/3 > -4

x/3 > 3

x > 9

-9x -19 ≥ 17

-9x ≥ 36

x ≤ -4

16 - x > 9

-x > -7

x < 7

Answer:

Learning to subtract rational numbers by adding the additive inverse can be explained to your child as being the same as finding the opposite. This can even be described to your child as being a similar concept to one that they have worked with in the past where subtraction is the opposite of addition.

Additive inverse can be defined as adding a number with the opposite or the negative of that number to equal zero. The additive inverse of 1 is (-1), the additive inverse of 2 is (-2) and so on.

Example: 5 + (-5) = 0

In this example, (-5) is the additive inverse.

You can then take additive inverse one step when finding the additive inverse when subtracting rational numbers.

Example: 7 - 4 = 7 + (-4)

3 = 3

When finding the inverse, it is important to keep in mind that what you do to one side, you must do the opposite to another. In the example above, because you subtracted a positive four on one side, you are going to add a negative four to the other. This will make the equation equal on both sides.

Step-by-step explanation:

Yes subtracting a number is the same as adding its inverse. We have to find the additive inverse of a function like [tex]\sqrt{x} +\sqrt{y}[/tex] .

The additive inverse of a number is the number which when we add to the number results zero.

Suppose we have to find additive inverse of 5. Let the additive inverse of 5 be x. So,

5+x=0

x=-5

So the additive inverse of 5 is -5.

Hence to find additive inverse of a positive number we have to just put a negative mark and for a negative number we have put positive mark in front of the number.

Learn more about additive inverse at https://brainly.com/question/1548537

#SPJ2

Answer:

14/15

Step-by-step explanation:

-4/5 × -7/6

Multiply numerator with numerator and denominator with denominator.

(-4×-7)/(5×6)

28/30

Simplify.

14/15

Answer:

[tex] \frac{14}{15} [/tex]

solution,

[tex] \frac{ - 4}{5} \times \frac{ - 7}{6} \\ = \frac{ - 4 \times ( - 7)}{5 \times 6} \\ = \frac{28}{30} [/tex]

divide 28 and 30 by 2 ,you will get:

[tex] \frac{14}{15} [/tex]

hope this helps..

Good luck on your assignment..

Answer: 1.5cm

Step-by-step explanation:

12-9=3 because it is midpoint 3/2=1.5

Answer:

[tex]S=6600\pi \text{ mm}^2[/tex]

[tex]S\approx 20724 \text{ mm}^2[/tex]

Step-by-step explanation:

A can of fruit is geometrically a cylinder.

We are talking about the surface area of a cylinder:

[tex]S=2\pi rh+2\pi r^2[/tex]

[tex]\pi \approx 3.14[/tex]

[tex]r: \text{radius}[/tex]

[tex]h: \text{height}[/tex]

Factoring, we have:

[tex]S=2\pi r (h+r)[/tex]

Calculating the surface area of the can of fruit:

[tex]S=2\pi (30) (80+30)[/tex]

[tex]S=2\pi (30) (110)[/tex]

[tex]S=6600\pi[/tex]

[tex]S\approx 20724 \text{ mm}^2[/tex]

Answer:

No

Step-by-step explanation:

Step-by-step explanation:

C. ........................

Answer:

15

Step-by-step explanation:

In order to find the the value of x, first we need to calculate the length of the perpendicular dropped from the right angle to the hypotenuse of the given triangle.

Therefore, by geometric mean property, we have:

[tex]l(perpendicular) \\ = \sqrt{9 \times (25 - 9)} \\ = \sqrt{9 \times 16} \\ = \sqrt{144} \\ l(perpendicular) = 12 \: units \\ \\ Now \: by \: Pythagoras \: Theorem:\\ {x}^{2} = {9}^{2} + {12}^{2} \\ {x}^{2} = 81 + 144 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = 15[/tex]

Answer:

x = √3

y = 1

Step-by-step explanation:

The side x, the hypotenuse 2 and the 60 degree angle are related as follows:

                                 x

sin 60 degrees = ----------

                                  2

and so side x is equal to  2 sin 60 degrees, or 2( (√3)/2), or √3.

By the Pythagorean Theorem, x^2 + y^2 = 2^2, or

                                                     3   + y^2 = 4, and so

                                                              y^2 = 1

so side y has length 1

x = √3

y = 1

Answer:

y=-10x

Step-by-step explanation:

y=-10x

y/x=-10

The correct answer is  y = -10x.

Option (c) is correct.

It is to find equation.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given that :

constant of proportionality equal to –10.

Eliminate the first two by common sense, that would leave us with options C, and D.  the option not D because D isn't a proportion, y = -10 is just stating that variable and only a constant y equals -10, whereas, y = -10x represents a proportion.

So, the correct  answer is  y = -10x.

Learn more about equation here:

https://brainly.com/question/16976124

#SPJ5

Answer:

15j + 15, or 15(1 + j).

Step-by-step explanation:

We must do the work inside the parentheses first.  We get 5( 2j + j + 3), or

5(3j + 3), and then 15j + 15, or 15(1 + j).

Answer:

5( 2j+j+3)

15j + 15

Step-by-step explanation:

5( 2j + 3 + j)

Combine like terms

5( 2j+j+3)

5( 3j + 3 )

Distribute

5*3j + 5* 3

15j + 15

Hey there! :)

Answer:

[tex]g^{-1} (g(10))=10[/tex]

Step-by-step explanation:

Begin by calculating g(10):

g(x) = 3x - 6

Substitute in 10 for x:

g(10) = 3(10) - 6

g(10) = 30-6

g(10) = 24.

Plug '24' into 'x' into [tex]g^{-1} (x)[/tex]

[tex]g^{-1} (24)=\frac{(24) + 6}{3}[/tex]

Simplify:

[tex]g^{-1} (24)=\frac{30}{3}[/tex]

[tex]g^{-1} (24)=10[/tex]

Answer:

64

Step-by-step explanation:

4/7

16x7= 112

4x16=64

Step-by-step explanation:

Refer to the two diagrams, attached

Start with the first set (soccer balls)

Hexagons (six-sides)

5 orange, 5 light green, 5 dark green, 5 light orange

total of 20 hexagons

Pentagons (5 sided black figures)

1+5+5+1 = 12 pentagons.

For the next set:

Triangles (3 sides)

5 orange+5 dark green+5 light green+5 light orange

= 20 triangles

Squares (4 sides)

5 between orange triangles+5 between light orange triangles

+ 5 between orange and green triangles

+ 5 between light orange and light green triangles

+ 10 between green and light green triangles

= 40 squares

Pentagons (5 sides)

1 at north pole + 5 between orange and green triangles

+ 5 between light green and light orange triangles + 1 at south pole

= 12 pentagons.

Summary:

Soccerball: 20 triangles + 12 pentagons + 20 hexagons

GoalScorerBall: 20 triangles + 40 squares + 12 pentagons

Answer: B

Step-by-step explanation:

(4/3) x 3.14 x 3.7^3

Plug into a calculator

212.067

Brainliest would be appericiated!

Answer:

C) quadrilateral, parallelogram, rectangle

Step-by-step explanation:

The figure has four sides, so it is a quadrilateral. The quadrilateral has four right angles and two equal (in length) opposite sides, so it is a rectangle.

All rectangles are parallelograms, because the two opposite sides of a rectangle are parallel.  

Option C should be the correct answer.

Based on the shape and the available option, the possible names for a figure here is the quadrilateral, parallelogram, rectangle

Quadrilateral is a type of shape that is closed shape and a type of polygon that has four sides, four vertices, and four angles.

Generally, a Quadrilateral is formed by joining four non-collinear points. The sum of the interior angles of quadrilaterals is always equal to 360 degrees.

In this case, the figure has four sides, so it is a quadrilateral. The quadrilateral has four right angles and two equal (in length) opposite sides, so it is a rectangle.

All rectangles are parallelograms because the two opposite sides of a rectangle are parallel.

Hence, in this case, it is concluded that the correct answer is option C. quadrilateral, parallelogram, rectangle

Learn more about Different Shapes here: https://brainly.com/question/28008161

#SPJ2

Answer:

I believe it is 12

I'm not 100% sure but if its right let me know

Sry if its not :/

Answer:

x = ±6

y = 10

Step-by-step explanation:

Solve for the top part.

x² + -4 = 32

x² = 32 + 4

x² = 36

x = √36

x = ±6

Solve for bottom part.

y + y - 4 = y + 6

2y - 4 = y + 6

2y - y = 6 + 4

1y = 10

By solving the upper part and the lower part of the matrix equation, the value of x and y are:

[tex]\mathbf{x = \pm6}\\\\\mathbf{y = 10}[/tex]

The given matrix equation can be solved by taking the upperpart to create an equation to solve for x, and also taking the lower part to create an equation to solve for y.

[tex]x^2 + (-4) = 32[/tex] (upper part)

[tex]y + y - 4 = y + 6[/tex] (lower part)

Solve each of the equation in the matrix.

Solve the upper part for x:

[tex]x^2 + (-4) = 32\\\\x^2 - 4 = 32[/tex]

[tex]x^2 - 4 + 4 = 32 + 4\\\\x^2 = 36[/tex]

[tex]x = \sqrt{36} \\\\\mathbf{x = \pm6}[/tex]

Solve the lower part for y:

[tex]y + y - 4 = y + 6\\\\[/tex]

[tex]y + y - 4 = y + 6\\\\2y - 4 = y + 6\\\\2y - y = 4 + 6\\\\\mathbf{y = 10}[/tex]

Thus, by solving the upper part and the lower part of the matrix equation, the value of x and y are:

[tex]\mathbf{x = \pm6}\\\\\mathbf{y = 10}[/tex]

Learn more here:

https://brainly.com/question/13694076