Robin is a competitive archer. Her average arrow is within 6.5 cm of the center of the bullseye. John, Robin's trainer, keeps close records of each of Robin's shots so he can tell if she is improving. The graph below is John's record of Robin's last three arrows, where (0,0) is the center of the bullseye.

Answer:

Step-by-step explanation:

The graph is a line Then it has an equation of the form : y = my + p

where m is the slope and p is the y-intercept.

the line crosses the y-axis at the point (0,6) then

p = 6

the line is going down then

m is negative

the only provided equation that verify: m < 0 and p = 6 is  y = -2x + 6

Answer:

y = -2x + 6

Step-by-step explanation:

Answer: 12 minutes

Step-by-step explanation:

Volume of water in the tank

l x b x h = 24 * 16 * 15 = 5760 cu. in.

Time it will take to fill the tank

= 5760 / 500 = 11.52 = 12 minutes

Answer:

Step-by-step explanation:

...exactly the same but with a different sign separating them. For example, if a root of a polynomial is

3 + 4i, then the other root has to be 3 - 4i because they always come in pairs. Always!! If a root is -2 - 3i, then the other root has to be -2 + 3i. Notice that the only sign that will change is the one that separates the a part of the complex number from the b part.

This phenomenon also applies to radicals. If we have a root that is [tex]-3 + \sqrt{5}[/tex][tex]-3 +\sqrt{5}[/tex] then the other root has to be [tex]-3 -\sqrt{5}[/tex]

Answer:

x-3i

Step-by-step explanation:

Using the formula then calculator to get the ans and we must never forget to write the unit in squared form.

Answer:

y= -x^2+5

Step-by-step explanation:

It normally expontionally goes up, so across the x axis is down so it is negative, and is is all scales up, so the start is 5 up from the origin on the y axis, so it would be y=-x+5

Hope this helped!

Answer:

he added 10 instead of subtracting 10 to isolate the variable, then he just removed the 20 that would be with the variable

Step-by-step explanation:

Answer:

Option (4)

Step-by-step explanation:

An ordered pair (x, y) represents,

x = number of days that a library book is late

y = Total fee for the delay

Late fee of a library book = $0.30 per day

Then late fee of a book for the delay of 'x' days,

y = per day fee × number of days delayed

y = [tex]0.30\times x[/tex]

Option (1). For (-3, -0.90)

Since number days can't be negative so not the answer.

Option (2). For (-2.5, -0.75)

Number of days are negative so can't be the answer.

Option (3). For (4.5, 1.35)

Fee for 4.5 days will be,

y = 0.30(4) [Since fee is charged after completion of one day or in the midnight]

Fee for 4.5 days will be the same as fee for 4 days.

y = $1.20

Therefore, this option will not be the answer.

Option (4). For (8, 2.40)

y = 0.30x

y = 0.30(8)

y = 2.40

Therefore, option (4) will be the answer.

Answer:

8,2.40

Step-by-step explanation:

Answer:

jus make a new acc

Step-by-step explanation:

Answer:I recommend looking it up on a different website or wording it differently.

hope this helps.

Step-by-step explanation:

Answer:

Simplify the f's variables -2.1

Simplify the numbers -19

-2.1f -19 is the answer

Answer-2.1f-24:

Step-by-step explanation:

Answer:

The Answer is A) X=6+3/10

Step-by-step explanation:

x = 6 + 3 √ 10 ,  6 − 3 √ 10

Decimal Form:

x  =  15.48683298 ,  − 3.48683298

Answer:

Step-by-step explanation:

Take you ruler and draw a horizontal line from point (0,-2)

When you do, the point where y = -2 is when x = - 3

Answer:

x = -3

Step-by-step explanation:

the question asks for what x the function = -2

if you imagine horizontal line passing through -2 then you cann see that it crosses graph when x = -3 and 0

Answer:

2

Step-by-step explanation:

22/11=2

Answer:

4x - 3y = 0

Step-by-step explanation:

The angle between the radius and the tangent at P is right

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y + 3x = 25 into this form

Subtract 3x from both sides

4y = - 3x + 25 ( divide all terms by 4 )

y = - [tex]\frac{3}{4}[/tex] x + [tex]\frac{25}{4}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{3}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , thus

y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation

To find c substitute P(3, 4) into the partial equation

4 = 4 + c ⇒ c = 4 - 4 = 0

y = [tex]\frac{4}{3}[/tex] x ← equation of radius in slope- intercept form

Multiply through by 3

3y = 4x ( subtract 3y from both sides )

4x - 3y = 0 ← equation of radius in standard form

Answer: D.6

Step-by-step explanation:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.

The on;y possible value for y is Y=6, so the answer is D

Answer:

6

Step-by-step explanation:

The range is the output values, or in this case the y values

The only y value is 6

The range is 6

Answer:

P = 0.0655

Step-by-step explanation:

First, we are going to calculate the number of ways in which we can select the 10 balls. This is calculated using the rule of multiplication as:

[tex]T=20*20*20*20*20*20*20*20*20*20\\T=20^{10}\\T=1.024*10^{13}[/tex]

Because we have 20 different balls every time and the experiment is repeated 10 times.

Then, from that [tex]1.024*10^{13}[/tex] ways, there are C ways where all the numbers recorded are distinct. It is calculated as:

[tex]C = 20*19*18*17*16*15*14*13*12*11\\C = 6.704*10^{11}[/tex]

Because, the first time, we have 20 options, the second time, we can just select 19 balls because we can not repeat the numbers, the third time, we can just select 18 balls and we need to keep doing this until get to the 10th time.

Finally, the probability that all the numbers recorded were distinct is calculated as C/T and it is equal to:

[tex]P=\frac{C}{T}=\frac{6.704*10^{11}}{1.024*10^{13}} =0.0655[/tex]

Answer:

Step-by-step explanation:

170. LxW=A

20x8.5=170

Answer:

360 cm^2

Step-by-step explanation:

If you move the triangle to the right, you can see it fits perfectly into the right side of the parallelogram. Therefore, we have a rectangle, with width 20 and height 18. 18x20=360.

Answer: [tex](x^2+9)^2[/tex]

Step-by-step explanation:

Rewrite it in the form [tex]a^2+2ab+b^2[/tex] , where [tex]a=x^2 and b=9.[/tex]

[tex](x^2)^2+2(x^2)(9)+9^2[/tex]

Use Square of Sum: [tex](a+b)^2= a^2+2ab+b^2[/tex]

[tex](x^2+9)^2[/tex]

Answer:

[tex] \frac{ - 300}{49} [/tex]

or -6.122

Step-by-step explanation:

In answering this kind of questions, you must take note of BODMAS. that is;

B - Bracket

O - Of (multiplication)

D - Division

M - Multiplication

A - Addition

S - Subtraction

and you have to answer by the order above to get the correct answer. thank you

hope it helps .

Answer:

-6 176/189

Step-by-step explanation:

-8÷+12×9-4×6÷56÷7×2​=

-8÷108- 24÷56÷14=

-2/27-24×14÷56=

-2/27- 48/7=

-7 + 1/7- 2/27=

-7 + (27-14)/27*7=

-7+ 13/189=

-6 176/189

Answer:

C) -b > 0

Step-by-step explanation:

as per the graph

a<b<c and a<0, b<0

A) a>b

B) -b < -c

C) - b> 0

Answer:

s=-4

Step-by-step explanation:

Bring the S to one side and the numbers to the other

-11/4s=11

Then just divide, but when dividing fractions you have to switch the fraction so..

s=11*(-4/11)

s=-4

Answer:

Step-by-step explanation:

- 4x² + 10x

Answer:

[tex]\fbox{\begin{minipage}{11em}(f - g)(x) = -2x(2x - 5)\end{minipage}}[/tex]

Step-by-step explanation:

Given:

[tex]f(x) = -x^{2} + 6x - 1 \\ g(x) = 3x^{2} - 4x - 1\\[/tex]

Solve for:

[tex](f - g)(x)[/tex]

Solution:

Perform the subtraction:

[tex](f - g)(x) = (-x^{2} + 6x - 1) - (3x^{2} - 4x - 1)[/tex]

Eliminate the parenthesis (notice the change in sign of some components):

[tex](f - g)(x) = -x^{2} + 6x - 1 - 3x^{2} + 4x + 1[/tex]

Rearrange the expression:

[tex](f - g)(x) = (-x^{2} - 3x^{2}) + (6x + 4x) + (1 - 1)[/tex]

Simplify the expression:

[tex](f - g)(x) = -4x^{2} + 10x[/tex]

Perform the inverse of associative property:

[tex](f - g)(x) = -2x(2x - 5)[/tex]

Hope this helps!

:)

perimeter of circle

2πr

perimeter of semi circle

2πr ÷ 2

=2π(25) ÷ 2

= 50π ÷ 2

= 25π

Ans = 25π

Answer:

4 (x-3)hhkjcdrtuvddistheansww

Answer:

B._________________________

Answer:

During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points

Step-by-step explanation:

Answer:

11 points

Step-by-step explanation:

Range = Highest value - lowest value

Highest value = 24

Lowest value = 13

Range = 24 - 13

Range = 11

Answer:

Numbering the options, we have;

1) Side B'A' has a slope of −1 and is perpendicular to side BA.

2) Side B'A' has a slope of 1 and is parallel to side BA.

3) Side B'A' has a slope of 1 and is perpendicular to side BA.

4) Side B'A' has a slope of −1 and is parallel to side BA.

The correct option is;

1) Side B'A' has a slope of -1 and is perpendicular to side BA

Step-by-step explanation:

The given coordinates are;

A(3, 5) B(1, 3), C(5, -1) and D(7, 1)

The slope of BA is found as follows;

[tex]Slope \, of BA= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} =\dfrac{3-5}{1-3}= \dfrac{-2}{-2} = 1[/tex]

Rotation of a line through 90 degrees gives

(x, y) will be (y, -x)

Therefore, the coordinates of A' = (5, -3)

The coordinates of B' = (3, -1)

Then the slope is given as follows;

[tex]Slope \, of \, B'A' =\dfrac{-1 -(-3)}{3-5}= \dfrac{2}{-2} = -1[/tex]

Therefore side B'A' has a slope of -1 and is perpendicular to side BA.

Option (4) will be the correct option.

   Coordinates of the vertices of rectangle ABCD are,

Slope of a segment with endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the expression,

Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of segment BA (m₁) = [tex]\frac{3-5}{1-3}[/tex] = 1

If a point (h, k) is rotated 90° clockwise about the origin, rule to be followed,

(h, k) → (-k, h)

Following this rule,

B(1, 3) → B'(-3, 1)

A(3, 5)→ A'(-5, 3)                        

Slope of segment B'A' (m₂) = [tex]\frac{1-3}{-3+5}=-1[/tex]

Expression representing two segments with slopes [tex]m_1[/tex] and [tex]m_2[/tex] to be perpendicular,

[tex]m_1\times m_2=-1[/tex]

Since, slopes of two segments BA and B'A' are (1) and (-1).

(1) × (-1) = -1

Therefore, both the segments BA and B'A' will be perpendicular.

    Option (4) will be the answer.

Learn more,

https://brainly.com/question/16949200

Answer:

AC= 6.3 units (nearest tenth)

BC= 2.8 units (nearest tenth)

∠C= 64°

Step-by-step explanation:

Please see attached picture for full solution.

To calculate mean you add up all the numbers you have, then divide it by the total pieces of data, for example: 2 4 3 1 = 2+4+3+1=10 10÷4=2.5

To calculate median, you find the middle number, it helps to put the numbers in order. If there are two middle numbers, add them up and divide by 2.

To calculate mode, you find the number that appears the most.

Comment if you want the answers.

Answer:

Given below

Step-by-step explanation:

The algebraic identity is (a-b)^2

= a^2 + b^2 - 2ab

So it'll be,

(x-4)^2

= x^2 + (4)^2 - (2)(x)(4)

= x^2 -8x + 16

or x^2 +16 -8x

The expression x² + 16 -8x is equivalent to the given expression (x-4)². The correct answer would be an option (C).

Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values. Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.

The expression is given in the question, as follows:

(x-4)²

As we know that the sum of square identity (a-b)² = a² + b² - 2ab

So x² + (4)² - (2)(x)(4)

x² -8x + 16 or

x² + 16 -8x

This expression is equivalent to the given expression.

Hence, the correct answer would be an option (C).

To learn more about the Algebra link is given below.

brainly.com/question/953809

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