What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0) (4,-2)

Answer:

Center = (-4, 5)

Radius = 5

Step-by-step explanation:

Equation of a Circle :

Finding the center :

Finding the radius :

Answer:

One of the practical situation of geometric series is : A ball bouncing is an example of a finite geometric sequence. Each time the ball bounces it’s height gets cut down by half. If the ball’s first height is 4 feet, the next time it bounces it’s highest bounce will be at 2 feet, then 1, then 6 inches and so on, until the ball stops bouncing

Answer:

Geometric series are seen in practical situations, most notably in those involving geometric growth or decay. If a series of numbers are formed by percentages, then it can result in a geometric sequence. Ex. compound interest (see below).

Step-by-step explanation:

A geometric series is the result of adding the terms of a geometric sequence. These sequences have a common ratio, r, which is used to find missing terms. The common ratio is found with [tex]r=\frac{a_n}{a_{n-1}}[/tex]. For example, [tex]a_1(r)=a_2, \mbox{ and } a_2(r)=a_3... \mbox{ etc.}[/tex]

Geometric sequences can be used to model practical situations, and such situation could involve geometric growth or decay.

A geometric sequence can be used to model compound interest. An example of this is [tex]A = P (1 + \frac{r}{100})^n[/tex] where the common ratio, r, of the series is equal to 1 + r/100 in the compound interest formula above.

Answer:

Step-by-step explanation:

the bars, |   |, mean absolute value

for example, if it was

| -9 |

then it would be 9

if it was

| 9 |

then it would be 9

if it was

| -550 |

it would be 550

you take the number, and if its negative, then it becomes positive

thats it

Answer:

36 dollars

Step-by-step explanation:

4.50 times 8 = 36 dollars

Answer:

See below ~

Step-by-step explanation:

x-values :

y-values :

Answer:B

Step-by-step explanation: The cluster is the 5 points in the bottom right corner or; between x-values 8 and 10 and y-values 4 and 6.

Answer:

36 units

Step-by-step explanation:

area of right angle triangle =1/2* b*h.

by counting the square,b=8 units and h=9 units

therefore,area 1/2* 8units * 9units

1/2*72units^2

36units^3

Answer:

y = -8 - 1/2x

Step-by-step explanation:

Answer:

[tex]cosC = \frac{\sqrt{161} }{15}[/tex]

Step-by-step explanation:

[tex]cosC = \frac{\sqrt{161} }{15}[/tex]

CosC = adj/hyp

Answer:

8/12

Step-by-step explanation:

Answer:

A) $4,905 B) $5,310

Step-by-step explanation:

To get the answer, just simply add the amount by the percentage.

4,500 + 9% = A

For 2 years, just do 9 x 2 = 18 because it's 2 years

4,500 + 18% = B

Answer:

Only noninteger values of x

Step-by-step explanation:

did this already

Only non integer values of x best describes the possible values of x in the equation [x-1]=[x]

A number system is defined as a system of writing to express numbers.

When x is an integer, the equation simplifies to [x-1] = [x], which means that the greatest integer less than or equal to (x-1) is equal to the greatest integer less than or equal to x.

This is only possible if x-1 and x are consecutive integers, so x must be an integer value of n + 1/2 for some integer n.

For non-integer values of x, we have x-1 < [x] < x, which means that [x] is equal to the greatest integer less than or equal to x-1.

So, the equation becomes x-1 < [x] < x, which simplifies to x-1 < x - {x} <= x, where {x} is the fractional part of x.

Therefore, we have x-1 < x - {x} and x - {x} <= x, which gives 1 < {x} and {x} <= 0, which is not possible.

Hence, the only values of x that satisfy the equation are non-integer values of x.

To learn more on Number system click:

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Answer:

W = ZXY

Step-by-step explanation:

Step-by-step explanation:

Given that Cooper answered 28 questions correctly and 7 incorrect answers, If the total number of questions is x,

therefore X = 28+7

= 35

R =

[tex] \frac{28}{35} [/tex]

=

[tex] \frac{4}{5} [/tex]

therefore, the ratio is 4:5

Answer:

In romania I was doing this in the 6th grade

Step-by-step explanation:

5.

A B and D C are parallel lines.

"slope" means inclination. and as you can imagine, parallel lines must have the same inclination, or they would not be parallel.

so, the slope of D C must be also 2/7.

4.

same thing as with 5.

both lines are parallel and must therefore have the same slope.

so, the slope of D C is also 3/4. and the first answer is correct.

Answer:

Length = 15.14, width = 7.14 and height = 2.43  inches.

( correct to the nearest hundredth).

Step-by-step explanation:

Let the lengths of the squares cut out be x inches.

Then the width of the box will be 12 - 2x and the length will be

20 - 2x inches.

The height of the box is x inches.

Volume V = x(20-2x)(12-2x)

To find the value of x when V is a maximum we find the derivative and equate it to zero.

V = x( 240 - 64x + 4x^2)

V = 4x^3 - 64x^2 + 240x

dV/dx = 12x^2 - 128x + 240 = 0

4(3x^2 - 32x + 60) = 0

This won't factor so we use the formula:

x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6

= 8.24, 2.43.

So one of these gives a maximum Volume.

The second derivative

d^2V/dx^2 = 24x - 128

When x = 8.24,  this = 69.6 (positive) so this gives a minimum.

x = 2.43 gives a negative  value ( -49.7)  so this is the maximum

So the dimensions are:-

length = 20 - 2(2.43) = 15.14

width = 12 - 2(2.43) = 7.14

height = 2.43.

Answer:

I believe he would need 12 batteries

Answer:

The relation is reflexive as

(1,1),(2,2),(3,3)∈R

(2,1)∈R will not imply (1,2)∈R,

hence R is not symmetric

(2,1),(1,3)∈R doesn't imply (2,3)∈R, hence R is not transitive

Step-by-step explanation:

hope this helps if not let me know have a blessed day

Answer:

Step-by-step explanation:

An easy way to determine the nature of the quadrilateral is to look at the lengths and midpoints of the diagonals. Adding and subtracting the coordinates of one end point from the other can tell what you need to know.

The diagonals of a parallelogram are mutual bisectors. The diagonals of a rhombus are perpendicular. The diagonals of a rectangle are congruent.

__

The difference of end points of diagonal AC is ...

  C -A = (7, 2) -(-6, 1) = (13, 1)

The sum of the end points of diagonal AC is ...

  C +A = (7, 2) +(-6, 1) = (1, 3)

The difference of end points of diagonal BD is ...

  B -D = (0, 7) -(1, -4) = (-1, 11)

The sum of end points of diagonal BD is ...

  B +D = (0, 7) +(1, -4) = (1, 3)

midpoints

The two diagonals have the same end point sum, (1, 3), meaning their midpoints are coincident. The figure is a parallelogram.

lengths

The lengths of the diagonals will be the same if the sum of squares of the coordinates of the end-point differences are the same.

  Σ(C -A)² = 13² +1² = 170

  Σ(B -D)² = (-1)² +11² = 122 ≠ 170 . . . . . not a rectangle

perpendicularity

The diagonals will be perpendicular if the "dot product" of the end-point differences is zero.

  x1·x2 +y1·y2 = 13(-1) +1(11) = -2 ≠ 0 . . . . not a rhombus

The most specific name for this quadrilateral is parallelogram.

_____

Opposite sides of a parallelogram are congruent and parallel.

Adjacent sides of a rectangle are perpendicular. This is not a rectangle, so adjacent sides are not perpendicular.

A parallelogram that is not a rectangle or rhombus is described most specifically as a parallelogram.

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[tex]\diamond\large\textsf{\textbf{\underline{Given\:question:-}}}[/tex]

          The backyard is 20 inches long and 37 inches wide. What is the area of the backyard?

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

We are given the backyard's length (20 inches long) and the backyard's width (37 inches wide).

We are asked to find the area of the backyard, which can be found using the following formula:-

      [tex]\boxed{\bold{A_{(rectangle)}=LW}}[/tex]

Where:-

Substitute the values:-

[tex]\boxed{\bold{A=20*37}}[/tex]

On simplification,

✳︎ [tex]\boxed{\bold{A=740\:in^2}}[/tex], which is our final answer.

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

Answer: 37·20=740

Step-by-step explanation:

Using the normal distribution, it is found that your systolic blood pressure is of 110.45.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Researching the problem on the internet, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 122, \sigma = 22[/tex].

The 30th percentile is X when Z = -0.525, hence your BP is given as follows.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.525 = \frac{X - 122}{22}[/tex]

X - 122 = -0.525 x 22

X = 110.45.

More can be learned about the normal distribution at https://brainly.com/question/24663213

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Answer:

B) 10

Step-by-step explanation:

The range of a data set is found by subtracting the smallest term given in the set from the largest term given in the set. First, set the terms in order from least to greatest:

5 , 7 , 10 , 11 , 12 , 13 , 15 , 15, 15 ,

Subtract the greatest (15) with the least (5): 15 - 5 = 10

B) 10 is your answer.

~

Answer:

The answer is b) 10

Step-by-step explanation:

i took the test

Answer:

The independent variable is m, while the dependent variable is t.

Step-by-step explanation:

An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.

The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.

t = $6 + ($1.50 x m)

3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)

4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)

5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)

6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)

7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)

8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)

9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)

10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)

Step-by-step explanation: answer: 108

270

[tex]270 \times \frac{60}{100} [/tex]

[tex]27 \times 6 = 162[/tex]

270=60%

60% =162

40% = not going

270 students - 60% 162= 108

→108 students are not going

Answer:

270 students - 60% 162= 108

Step-by-step explanation:

Answer:

[tex](y {}^{2} - 3y - 5) - ( - {y}^{2} - 7y + 4) \\ {y}^{2} - 3y - 5 + {y}^{2} + 7y - 4 \\ 2 {y}^{2} + 4y - 9[/tex]

A is the correct answer

Answer:

300(1 + 0.04/2)3(2) = $337.85

Step-by-step explanation:

Here's the link to the answer:

https://riverside.rocks/index.php

Answer & step-by-step explanation:

See the image attached below:

Answer:

|AB| = 240 km

Step-by-step explanation:

Finding ∠C :

⇒ 27° + 66° + ∠C = 180°

⇒ ∠C = 180° - 93°

⇒ ∠C = 87°

Applying the Law of Sines :

⇒ sin 66° / 220 = sin 87° / AB

⇒ 0.913545458 / 220 = 0.998629535 / AB

⇒ AB = 220/0.913545458 x 0.998629535

⇒ AB = 240.819981 x 0.998629535

⇒ AB = 240.489946

⇒ |AB| = 240 km (nearest whole kilometer)

Answer:

|AB| = 240 km (nearest km)

Step-by-step explanation:

Draw a sketch with the given information (attached).

Calculate the missing angle (shown in red on the attached diagram).

Given:

The interior angles of a triangle sum to 180°

⇒ ∠ACB + ∠CAB + ∠CBA = 180°

⇒ ∠ACB + 27° + 66° = 180°

⇒ ∠ACB = 180° - 27° - 66°

⇒ ∠ACB = 87°

Use Sine Rule for sides to calculate |AB|:

[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

[tex]\implies \sf \dfrac{|AB|}{\sin ACB}=\dfrac{|AC|}{\sin CBA}[/tex]

[tex]\implies \sf \dfrac{|AB|}{\sin (87^{\circ})}=\dfrac{220}{\sin (66^{\circ})}[/tex]

[tex]\implies \sf |AB|=\dfrac{220\:\sin (87^{\circ})}{\sin (66^{\circ})}[/tex]

[tex]\implies \sf |AB|=240.4899459...[/tex]

[tex]\implies \sf |AB|=240\:km\:(nearest\:km)[/tex]