Find the equation of the line shown.
y
X
0 1 2 3 4 5 6 7 8 9 10
10
987654321

The inequality that is correctly graphed is the one in option B.

Remember that if we have symbols like ≤ or ≥, we graph a solid circle, while if we use symbols like > or <, we need to use an open circle.

If we write:

x < -3

Then we must have an orange line to the left of x < -3

Finally, the option that you marked is wrong.

Why?

There it says that:

"x < -3 and x > 1"

The "and" means that x meets both properties at the same time, which is impossible.

The correct option is the one that says:

"x < -3 or x > 1".

The "or" means that x needs to meet only one of the two conditions, not both at the same time.

Then the correct option is B.

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Answer:

7. 630

8. I'm not sure on this one-

9. 1331

Step-by-step explanation:

So for a rectangular prism the formula is l x w x h (length times width times height) Which would be 14 * 5 * 9 which equals 630

For the triangular prism, I forgot the formula

For the cube, you are given 1 number, 11, since it's a cube all lengths are the same so you do 11 to the power of 3 = 1331

Answer:

Hi,

Step-by-step explanation:

[tex]\left\{\begin {array} {ccc}x&=&2*cos(t)-1\\y&=&3*sin(t)+4\\\end{array}\right.\\\\\\\left\{\begin {array} {ccc}\dfrac{x+1}{2}&=&cos(t\\\dfrac{y-4}{3}&=&sin(t)\\\end{array}\right.\\\\Squaring\\\\\boxed{(\dfrac{x+1}{2})^2+(\dfrac{y-4}{3})^2&=1}\\[/tex]

The curve is an ellipse having (-1,4) as center and half-axis (2 and 6)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:(8 + 5i)(3 + 2i) - (4 + i)(4 - i)[/tex]

[tex]\qquad \sf  \dashrightarrow \:[( 8 \sdot3) + (8 \sdot2i) + (5i \sdot3) + (5i \sdot2i)] -[( 4 \sdot4) + (4 \sdot - i) + (i \sdot4) + (i \sdot - i)][/tex]

[tex]\qquad \sf  \dashrightarrow \:[24+ 16i + 15i+ 10i {}^{2} ] -[16 - 4 i+ 4i - i {}^{2} ][/tex]

[tex]\qquad \sf  \dashrightarrow \:[24+ 31i+ 10 {}{( - 1)} ] -[16 - ( - 1){}^{} ][/tex]

[tex]\qquad \sf  \dashrightarrow \:[24+ 31i - 10 {}{} ] -[16 + 1{}^{} ][/tex]

[tex]\qquad \sf  \dashrightarrow \:[14+ 31i {}{} ] -[17{}^{} ][/tex]

[tex]\qquad \sf  \dashrightarrow \: - 3+ 31i {}{} [/tex]

I hope you understood the procedure ~

The exponential function of the table is y = 0.75(2)^x

From the table, we have the following points

(x,y) = (0,0.75) and (1,1.5)

An exponential function is represented as:

y = ab^x

At (0,0.75), we have:

0.75 = ab^0

a = 0.75

Substitute a = 0.75 in y = ab^x

y = 0.75b^x

At (1,1.5), we have:

1.5 = 0.75b^1

Evaluate

1.5 = 0.75b

Divide both sides by 0.75

b =2

Substitute b =2 in y = 0.75b^x

y = 0.75(2)^x

Hence, the exponential function is y = 0.75(2)^x

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The net represents a cube.

The net shows a cube with a side length of 12 cm, meaning its surface area is [tex]6(12)^{2}=\boxed{864 \text{ cm}^{3}}[/tex]

Answer:

Step-by-step explanation:

The Platonic solid with six (6) square faces is the cube. Its surface area is the sum of the areas of the square faces. Each of those is the square of its edge length.

__

The 3-dimensional shape represented by the net is a cube.

The area of the cube is ...

  6 × (12 cm)² = 6 × (144 cm²) = 864 cm²

The length of the band in terms of π is given by the expression:

L = 40mm + π*10mm

Remember that for a circle of diameter D, the circumference is:

C = π*D.

Now, if you look at the image, you can see that the length of the band will be equal to 4 times the diameter of the pencils (one time for each side). Plus 4 times one-fourth of the circumference of each pencil (for the four corners).

because the diameter is 10mm, the length of the band will be:

L = 4*10mm + 4*(π*10mm/4)

L = 40mm + π*10mm

This is the length of the band in terms of π.

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Answer:

[tex] \large {\boxed{ \sf{y = 2x + 5}}}[/tex]

Step-by-step explanation:

Suppose the slope of the line is k.

So,

[tex] \large {\bold {k = \frac{7 - ( - 1)}{1 - (3)} = \frac{7 + 1}{1 + 3} = \frac{8}{4} = 2 }}\\ [/tex]

So the line:

[tex] \large \bold{ \frac{y - 7}{x - 1} = k = 2 } \\ [/tex]

[tex] \: [/tex]

So,

[tex] \large \bold{y - 7 = 2(x - 1)}[/tex]

[tex]\large \bold{y - 7 = 2x - 2}[/tex]

[tex]\large \bold{y = 2x - 2 + 7}[/tex]

[tex]\large \bold{y = 2x + 5}[/tex]

[tex]{\rule{200pt}{4pt}}[/tex]

[tex] \large \bold{-N} \frak{unx-}[/tex]

Answer: x = 20

Step-by-step explanation:

   If line m is parallel to line n, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).

  This means we will set them equal to each other and solve for x.

Given:

(4x - 23) = (2x + 17)

Add 23 to both sides of the equation:

4x = 2x + 40

Subtract 2x from both sides of the equation:

2x = 40

Divide both sides of the equation by 2:

x = 20

Answer: A right angle

Step-by-step explanation:

Perpendicular lines form right angles

Answer:

90 degree

Step-by-step explanation:

Answer:

B.) 4,096 feet

Step-by-step explanation:

You were given a time, and time in the equation is represented by "t". To find the height, represented by "h", you just need to plug the given value in for "t" and simplify to find "h".

t = (1/4)√x                                         <--- Original equation

16 = (1/4)√x                                      <--- Plug 16 in "t"

64 = √x                                            <--- Divide both sides by (1/4)

4,096 ft = x                                    <--- Square both sides

The object reach the ground in 16 seconds, you should drop it from a height of 4096 feet.

The equation is t=1/4 √x , where t is time in seconds and x is height in feet. To determine the height  x at which an object should be dropped to reach the ground in 16 seconds, you can plug in the value of t=16 into the equation:

16 = 1/4 √x

Simplify the equation by multiplying both sides by 4:

4⋅16= √x

64= √x

Now, square both sides to isolate x:

64²=x

4096 = x

Therefore, to have the object reach the ground in 16 seconds, you should drop it from a height of 4096 feet.

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Answer:

x=7 ................................

Answer:

-7/8

Step-by-step explanation:

Quadratic formula is ax^2 + bx + c

In this case, x = -b/2a, which is -7/(2(4)) = -7/8

Answer:

x = - [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

given a quadratic in standard form

f(x) = ax² + bx + c (a ≠ 0 )

then the equation of the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = 4x² + 7x + 6 ← is in standard form

with a = 4 and b = 7

then equation of axis of symmetry is

x = - [tex]\frac{7}{2(4)}[/tex] = - [tex]\frac{7}{8}[/tex]

Answer:

-6

Step-by-step explanation:

you would use the slope formula y2-y1/x2-x1. the equation should be like 8-2/-2-(-1). Then simplify: 6/-1 or -6

Answer:

  see attached

Step-by-step explanation:

The two different triangles can be formed by placing the 90° angle adjacent to, or opposite the given side.

__

In the attached diagram, the two triangles are ABC and ABD. The right angles are at vertex C and vertex B, respectively.

Answer:18

Step-by-step explanation:

Answer:

C. 16

Explanation:

[tex]\rightarrow \sf \dfrac{9}{4} = \dfrac{x+2}{8}[/tex]

cross multiply

[tex]\rightarrow \sf \dfrac{9(8)}{4} = x + 2[/tex]

simplify integers

[tex]\rightarrow \sf 18 = x + 2[/tex]

exchange sides

[tex]\rightarrow \sf x =18-2[/tex]

subtract integers

[tex]\rightarrow \sf x =16[/tex]

Answer:

angles in a triangle add up to 180°

5:12:13 = 30

180 ÷ 30 = 6

6 × 5 = 30°

6 × 12 = 72°

6 × 13 = 78°

angles = 30°, 72°, 78°

Answer: Hope this explains everything for you!

y= -2x+3

Step-by-step explanation:

y= 2x-1 is wrong

First, we will start by identifying the y-int, the y-int is when x is zero. The y-int is 3 since when x is 0, y is 3, (0,3).

y= 2x+3 (So that means -1 is actually 3)

Plus even if your slope is 2, since from the 2 points you go up 2 and run by 1, if you're not going to calculate it with 2 points, you need to see if its uphill, downhill, etc. (More info in the image below) The slope is actually negative meaning it is -2.

So the equation of the line is actually y= -2x+3

Answer:

3 Hours

Step-by-step explanation:

Plumber A.

Initial fee: $45

Per Hour: $60

Plumber B.

Full rate: $225

To determine the number of hours it will take for both plumbers to charge the same amount you have to start with $45.

Then add 60$ every hour.

$45 + $60 = $105

$105 + $60 = $165

$165 + $60 = $225

Therefore, it takes 3 hours for them to charge the same rate.

Answer:

x because say you have a prime number, 7, a will equal 1 and the other factor is 7 so it must be x

Answer:

[tex]\dfrac xa[/tex]

Step-by-step explanation:

[tex]\text{Let the other factor be k,}\\\\~~~~~~~a \times k =x\\\\\implies k = \dfrac x a\\\\\text{Hence, the other factor is}~ \dfrac xa[/tex]

Answer: Heyaa! ^^

When you simplify (17^14)^20 Your Answer is

Step-by-step explanation:

Hopefully this helps you!

Answer:

Angle AED: 40
Angle BEC: 105

Explanation:
1) To find Angle AED, you have to do arc BC minus arc AD then divide by 2.
120 - 40 = 80.
80 / 2 = 40

2) To find Angle BEC, you have to do arc BA + CD then divide by 2. But that's only angle CED. You'll have to double the number because BEA is vertical; then minus 360.

62 + 88 = 150
150 / 2 = 75
75 times 2 = 150
360 - 150 = 210
210 / 2 = 105
- You'll divide 210 by 2 because of the vertical angles of AED and BEC.

Answer:

See below

Step-by-step explanation:

If you just want the tip

[tex]0.20*161.86\approx\frac{1}{5}*160=32[/tex]

If you want the total bill

[tex]1.20*161.86\approx160+32=192[/tex]

Answer:

[tex]\huge\boxed{\sf C = 12\pi \ mm}[/tex]

Step-by-step explanation:

Radius = r = 6 mm

Circumference = C = ?

C = 2πr

C = 2(π)(6 mm)

C = 12π mm

[tex]\rule[225]{225}{2}[/tex]

Answer:

12π mm

Step-by-step explanation:

Circumference of a circle is given by the formula :

2πr

where r is the radius

We substitute our radius value from the diagram to find our answer:

2×π×r = 2×π×6

12×π = 12π

Units will me mm since this is a length

This is our final answer since we are told to leave it in terms of pi.

Hope this helped and brainliest please

P(ages 15-19|learning piano) = P(playing piano|ages 25-29) so option (B) must be correct.

A frequency table is a list of objects with the frequency of each item shown in the table.

The quantity of times that an event or value occurs is its frequency.

In other words, a frequency table is a table in which we have some data and their frequency.

Given the problem has been attached below,

It is clear that

Number of playing piano in the age of 25 - 29 = Number of playing piano in the age of 15 - 19

Hence it should be the correct answer.

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The value of the complete equation is 5.1.

We have given the equation,

15.3 ÷ 3 = tenths + 3 15.3÷ 3 = tenths 15.3 ÷ 3

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Therefore we have,

[tex]15.3/3=15+0.3 \ tenths/3\\=5+0.1 \ tenths\\=5.1[/tex]

Therefore the value of the complete equation is 5.1.

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Answer: 346.19cm²

Step-by-step explanation:

π= 3.14

Divide 21 (the diameter) by 2 to get the radius( it 's half of the diameter). so the radius is 10.5

Area= πr²

       = 3.14x10.5x10.5

       = 346.185

So next round up the value you got to the nearest tenth, so when u round up to the nearest tenth you get 346.19

Answer:

the value is 14

Step-by-step explanation:

because im just trying to get points

Answer:

There are infinitely many solutions to the system because the equations represent the same line