Point E has coordinates (-11, 7), and point F has coordinates (-5, 1). To the nearest unit, what is the distance between the two points?

Answer:

521

Step-by-step explanation:

Composite figure.

Draw a straight down from C to line segment AB. This forms a triangle.

Now, the area of this figure=

Area of semicircle+area of rectangle+ area of triangle.

Rectangle area formula = l times w

Length - 20

Width =14

14 times 20 = 280

Area of rectangle = 280

Semicircle area = area of circle/2

Area of circle = π[tex]r^2[/tex]

Diameter =20= 2r

r=10

π[tex]r^2[/tex]= π 10^2 =100π

100 times 3.14 =314

314/2 = 157

Area of semicircle = 157

Area of triangle= bh/2

Triangle's base= 32-20=12

Triangles height = 14

14 times 12 = 168

168/2 = 84

Area of triangle: 84

Area of semicircle+area of rectangle+ area of triangle.

157+280+84 =521

Answer:

The diameter is 91.

Step-by-step explanation:

The formula for circumference is 2*pi*radius(you can use circumference = diameter*pi too). Plug 285.74 into it. Divide both sides by 3.14, and you get 2*radius(aka the diameter) = 91

Answer:

91 yards

Step-by-step explanation:

The circumference of a circle can be found using the following formula:

c=π * d

We know that the circumference is 285.74 yards and we are using 3.14 for pi. Substitute 285.74 in for c and 3.14 for pi.

285.74= 3.14 *d

We want to find the diameter. Therefore, we need to get the variable d by itself. d is being multiplied by 3.14 The inverse of multiplication is division. Divide both sides of the equation by 3.14

285.74/3.14= 3.14*d/3.14

285.74/3.14=d

Divide

91=d

d= 91 yards

The diameter of the field is 91 yards.

Answer:

5236

Step-by-step explanation:

the original number is equal to 100%

Therefore 5600=100% how about 85 %(which is what is left after decreasing 15%)

85×5600÷100=4760

the new original is(100%)=4760

4760=100% how about 110%(which is what you'll have after adding 10%)

4760×110÷100=5236

Answer:

10\7

Step-by-step explanation:

7x-4=6

7x=6+4

7x=10

7x\7=10\7

x=10\7

Answer:-13/3

Step-by-step explanation:

Answer:

The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)

Step-by-step explanation:

Notice that when we start with the function [tex]f(x)=x^3[/tex], and then transform it into the function: [tex]g(x)=(x-4)^3-7[/tex]

what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).

Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).

then the point (0, 0) after the translation becomes: (4, -7)

Answer:4, -7

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I can't really see the problem, however I believe B is the only one that shows an infinite number of solutions.

Answer:

B

Step-by-step explanation:

It is too blurry BTW but B is correct

a = -3

common ratio(r) = -12/(-3) = 4

nth term = a.r^(n-1)

= -3.(4)^(n-1)

Answer:

110

Step-by-step explanation:

example:

rounded 20+20+20+30 = 90

original 25+25+25+35 = 110

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

There are only r red counters and g green counters in a bag.  A counter is taken at random from the bag.  The probability that the counter is green is 3/7  The counter is put back in the bag.  2 more red counters and 3 more green counters are put in the bag.  A counter is taken at random from the bag.  The probability that the counter is green is 6/13

Find the number of red counters and the number of green counters that were in the bag originally.

Answer:

Total number of green counters = 9

Total number of red counters = 12

Step-by-step explanation:

Recall that probability is given by

P = number of desired events/total number of events

The probability that the counter is green is 3/7

P(green) = 3/7 = 3x/7x

Where 3x is the number of green counters

7x is the total number of counters

So then red counters are

red counters = 7x - 3x = 4x

4x is the number of red counters

P(green) = 3/7 = 3x/3x + 4x

The counter is put back in the bag.  2 more red counters and 3 more green counters are put in the bag. The probability that the counter is green is 6/13

So after addition of 3 green and 2 red new counters,

P(green) = 6/13 = (3x + 3)/(3x + 4x + 3 + 2)

Now solve for x

6/13 = (3x + 3)/(3x + 4x + 3 + 2)

6/13 = (3x + 3)/(7x + 5)

6(7x + 5) = 13(3x + 3)

42x + 30 = 39x + 39

42x - 39x = 39 - 30

3x = 9

x = 9/3

x = 3

So total number of green counters are

green counters = 3x = 3*3 = 9

So total number of red counters are

red counters = 4x = 4*3 = 12

Answer:

Slope would equal 3.

slope= (y2-y1)/(x2-x1)

Plug in you get (8-2)/8-6)

Simplify (6)/(2)=3

Step-by-step explanation:

Answer:

D. the slope of f(x) is greater than the slope of g(x)

Step-by-step explanation:

slope of f(x) =rise/run

=y2 -y1 / x2 -x1

slope of f(x)= -1-2/1-0= -3

g(x)= -5x-6

slope of g(x)= -5

-3>-5

D. the slope og f(x) is greater than the slope of g(x)

Answer:

y=3/4 x+2

Step-by-step explanation:

y=mx+b

take two points from graph

(0,2) and (4,5)

find b when x=0 then y=b=2

find m : y2-y1/x2-x1=5-2/4-0

m=3/4

y=3/4 x +2

Step-by-step explanation:

Equation 1: [tex]3x^{2} +7x-6[/tex]

Step 1: Write a quadratic equation in standard form choosing your own coefficients and constant.

Conditons that need to be satisfied: B can be 0 in only one question, parabola should open up and have a negative y intercept.

1. The parabola should open upwards: a> 0

2. [tex]3x^2+7x-6[/tex] (a>0), y-int is negative (0s for x's)

                     3(0)^2 + 7(0) -6

                                   y= -6

Step 2:

1. Factor the original equation: (3x-2)(x+3)

x=2/3, -3

2. Strategy used (factor by grouping)

Equation 2: -[tex]x^{2}[/tex] + 3x - 6

Equation 2 should represent a parabola that opens down and has a negative y-intercept.

Parabola that opens down = a<0

Ax^2 + Bx + C

-[tex]x^{2}[/tex] + 3x - 6

Negative y-intercept: -(0)^2 +3(0) -6 = y= -6

Strategy to solve: Quadratic formula

Why? - This equation doesn't factor cleanly.

Show your work:

a= -1 b= 3 c= -6

Write the quadratic formula down ([tex]x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}[/tex]) ± not just +

Show step, solve.

x​= 1.5 + 1.9365i

Equation 3:

Sorry, I can't do this.

Equation 4 :[tex]x^{2} -1[/tex]

You decide.

Alright, easy parabola.

1. Does parabola open up or down. UP

2. Is there a vertical stretch or compression? NO

3. What is the y-intercept- (0,-1)

[tex]x^{2} -1[/tex]

Strategy: Simple factoring patterns (Difference of squares) -

(x+1)(x-1)

x = + 1

Show work: x^2 is square of x,

Equation 5: [tex]x^{2} -3x+15[/tex]

x^2−3x+15

a=1 b= -3 c=15

([tex]x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}[/tex]) ± not just +

Good luck! Sorry that I couldn't do equation 3, vertical stretches are not my thing.

Answer:

51 mph

Step-by-step explanation:

→ The first thing we need is a formula which links speed, distance and time so,

Speed = Distance ÷ Time

Speed = mph

Distance = metres/miles

Time = hours

→ Since we want to work out the average speed of the entire journey we need to first work out the total distance and total time. Using the first sentence of the paragraph, it says that the car travels at an average speed of 45 mph for 40 minutes, we can rearrange the formula to work out the distance so,

Speed = Distance ÷ Time

→ Rearrange to get distance as subject

Distance = Speed × Time

→ Substitute in the values

Distance = 45 × 40

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

40 ÷ 60 = 0.666666667

→ Substitute in the time value multiplied by the speed

Distance = 45 × 0.666666667 = 30

⇒ 30 metres/miles is overall distance for the first part of the journey

→ Now we have to work out the distance for the second part of the journey. State the distance formula.

Distance = Speed × Time

→ Substitute in the values into the distance formula

Distance = 60 × 25

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

25 ÷ 60 = 0.416666667

→ Substitute in the time value multiplied by the speed

Distance = 60 × 0.416666667 = 25

⇒ 25 metres/miles is overall distance for the second part of the journey

→ Now we have to add the distance of both the journeys together

25 + 30 = 55

→ Then we add the times of the journey together

40 minutes + 25 minutes = 65 minutes

→ Convert 65 minutes into hours

65 ÷ 60 = 1.08333 hours

→ Substitute both values into the speed = distance ÷ time formula

Speed = 55 ÷ 1.08333 = 50.76923077

→ The question says to round it to the nearest whole number so,

50.76923077 = 51 mph

Answer:

248.96 which is approximately 249

Step-by-step explanation:

2.2^7

The coefficients are;

1,7,21,35,35,21,7,1

So the terms we want to use are 1,7,21 and 35

We can write 2.2 as 2+ 0.2

So the approximations are;

1(2)^7(0.2)^0 + 7(2)^6(0.2) + 21(2)^5(0.2)^2 + 35(2)^4(0.2)^3

= 128 + 89.6 + 26.88 + 4.48 = 248.96

Answer:  4 + (−5)

An image of a horizontal number line is shown with labels from negative 2 to positive 6. An arrow begins at 0 to 4. Another arrow begins at 4 to negative 1.

Step-by-step explanation:  The arrow from 0 running to 4 is the graph of  how the point on the line is a positive 4: Four added to 0

The "additive inverse" means start there and go in the opposite direction. The arrow is 5 units long, so they ended up at -1 . Adding -5 is the same as subtracting 5

4 + (-5) = -1  is the additive inverse of  4-5= -1  

The descriptions of the number lines are well done, but difficult to sort out.

Answer:

4 + (−5)

Step-by-step explanation:

it is got it correct

Answer:

0.723 seconds

Step-by-step explanation:

Let h = 0

0 = -16t² + 6t + 4

Let’s solve by completing the square.

Subtract 4 from both sides.

-4 = -16t² + 6t

Since the coefficient of -16t² is -16, divide both sides by -16.

1/4 = t² - 3/8t

The coefficient of (-3)/8t is (-3)/8. Let b=(-3)/8.

Then we need to add (b/2)² = 9/256 to both sides to complete the square.

Add 9/256 to both sides.

73/256 = t² - 3/8t + 9/256

Factor right side.

73/255 = (t-3/16)²

Take the square root on both sides.

±√(73/255) = t-3/16

Add 3/16 to both sides.

3/16 ± √(73/255) = t

The answer has to be positive, not negative.

0.72254626884 = t

0.723 ≈ t

Answer:

Rounding to the nearest hundredth, it is 0.72

Answer:

Below.

Step-by-step explanation:

Step 1:  it is  5  x 10^-6 not 5 x 10^-5.

Step 5 : the result of the addition is 170 x 10^-4 not 170 x 10^-8.

Answer: yes that is correct explanation:

Answer:

The value of the car after two years is $14,100.025

Step-by-step explanation:

Here, we want to calculate the value of a car after its second year, given the depreciation percentage.

To get the value of the car year after year at the fixed percentage level, what we do is to set up an exponential equation;

V = I(1-r)^t

where V is the present value

I is the initial value = $25,000

r is the rate = 24.9% = 24.9/100 = 0.249

t is the number of years = 2 in this case

So we substitute these values in the depreciation case and have;

V = 25000(1-0.249)^2

V = 25000(0.751)^2

V = $14,100.025

Answer: 12 minutes

Step-by-step explanation:

7 km ........ 4 minutes

21 km ...... ?

21/7 x 4= 12 minutes

Answer: 12 minutes.

Step-by-step explanation:

It is easy to put the numbers into a ratio form to work it out. So-

4 minutes for 7 km = 4 : 7

Then ? minutes for 21 km = ? : 21

You first divide the given value by the original value of that it is proportioned to (the number on the same side of the original ratio as 21). In this case divide 21 by 7 = 3. You now have to times the answer you got by the other original value which will be 4 x 3 = 12.

Therefore your answer is 12 minutes.

Answer:

Improper fraction.

Step-by-step explanation:

19/18 is an improper fraction. If it were a mixed number, you would have an integer followed by a fraction, like 1 and 1/18.

Hope this helps!

Answer:

It would be an improper fraction.

A mixed number would be 1 whole, while the other part is a fraction.

[tex]1\frac{1}{18}[/tex]

A improper fraction is when the numerator is greater than the denominator, such as

[tex]\frac{19}{18}[/tex]

Hope this helps

Answer by

~[tex]Fishylikeswater[/tex]~

Explanation:

Here is our take on the proof shown in the problem statement. The missing statements and reasons are shown in bold.

Statements  Reasons

1. △ABC is isosceles with legs AB and AC; △AYX is also isosceles with legs AY and AX. 1. given

2. AB ≅ AC and AY ≅ AX  2. definition of isosceles triangle

3. AB = AC and AY = AX  3. definition of congruency

4. AY • AC = AX • AC  4. multiplication property of equality

5. AY • AC = AX • AB  5. substitution property of equality

6. AY • AC/AX = AB  6. division property of equality

7. AC/AX = AB/AY  7. division property of equality

8. Corresponding sides are proportional  8. Definition of proportional

9. △ABC ~ △AYX  9. SAS similarity theorem

_____

The reason given in statements 6 and 7 suggest you need to divide something. For SAS similarity, you need to show corresponding sides are proportional. The missing steps are to get to the point where you can say that.

Answer:

I think its A. ∠A ≅ ∠A; reflexive property

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

do 18 times 3

then do 54 divided by 54

to find the following number

hope this helps

Answer:

A

Step-by-step explanation:

Hours worked, probably because of commission or bonuses (the other ones seem to be proportional)

Answer:

7^1/3 * y^1/3

Step-by-step explanation:

(7y) ^ 1/3

We know that (ab) ^c = a^c * b^c

7^1/3 * y^1/3

Answer:

7^1/3 * y^1/3

Step-by-step explanation:

7^1/3 * y^1/3

Answer:

See explanation

Step-by-step explanation:

True Mathematical Statement

[tex]\text{If }\sqrt{x}=a$ and \sqrt{y}=b,$ then \sqrt{xy}=ab[/tex]

False Mathematical Statement

[tex]\text{If }\sqrt{x}=a$ and \sqrt{y}=b,$ then \sqrt{x+y}=a+b[/tex]

To show using a counterexample that the statement isn't true.

[tex]\text{Let x}=16\\\text{Let y}=9\\\sqrt{16}=4\\\sqrt{9}=3\\\sqrt{16+9}=\sqrt{25}=5\\a+b=3+4=7\\5\neq 7[/tex]

Therefore, the mathematical statement is false.

Answer:  A. (72π - 144) mm²

Step-by-step explanation:

[tex]A_{shaded}=A_{circle}-A_{square}\\\\\\A_{circle}=\pi \cdot r^2\\.\qquad \ =\pi \bigg(\dfrac{12\sqrt2}{2}\bigg)^2\\\\.\qquad \ =\pi (6\sqrt2)^2\\.\qquad \ =72\pi\\\\\\A_{square}=side^2\\.\qquad \quad =\dfrac{12\sqrt2}{\sqrt2}^2\\\\.\qquad \quad =12^2\\\\.\qquad \quad =144\\\\\\\large\boxed{A_{shaded}=72\pi-144}[/tex]

The area of shaded region is  (72π – 144) square millimeters.

To understand more, check below explanation.

It is given that,

The diameter of circle is [tex]12\sqrt{2}[/tex] millimeters.

  Since,   radius = diameter/2

So that, radius of circle[tex]=12\sqrt{2}/2=6\sqrt{2}[/tex]

now, we have to find area of circle,

                  [tex]Area=\pi *r^{2} \\\\Area=\pi *(6\sqrt{2} )^{2} \\\\[/tex]

                  Area = 72π square millimeters

The side of inscribed square[tex]=12\sqrt{2} /\sqrt{2}[/tex] = 12mm

Since, area of square= (side)^2

Area of square= 12 * 12 = 144 square millimeters

To find the area of shaded region, subtract area of square from area of circle.

Area of shaded region = area of circle - area of square

Area of shaded region = (72π – 144) square millimeters.

Learn more about the area of circle here:

https://brainly.com/question/14068861

Answer:

-11/9 is the slope

Step-by-step explanation:

Use the formula and u will find this is the answer, hope this helped!

Y2 - Y1 / X2 - X1

(-9 - 2) / (6 - (-3))

<!> Brainliest is appreciated!

Answer:

-11/9

Step-by-step explanation:

In order to find the slope from 2 points, use the following formula: [tex]m=\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]

Plug in each of the numbers into their corresponding areas. Basically, we are subtracting the y values together and dividing it with the difference of the x values:

[tex]\frac{-9-2}{6-(-3)}[/tex]

The negatives cancel out and become postive, so the denominator will then read to be 6+3:

[tex]\frac{-9-2}{6+3}[/tex]

[tex]-\frac{11}{9}[/tex]

Simplifying

4x + 2(x + 6) = 36

Reorder the terms:

4x + 2(6 + x) = 36

4x + (6 * 2 + x * 2) = 36

4x + (12 + 2x) = 36

Reorder the terms:

12 + 4x + 2x = 36

Combine like terms: 4x + 2x = 6x

12 + 6x = 36

Solving

12 + 6x = 36

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + 6x = 36 + -12

Combine like terms: 12 + -12 = 0

0 + 6x = 36 + -12

6x = 36 + -12

Combine like terms: 36 + -12 = 24

6x = 24

Divide each side by '6'.

x = 4

Simplifying

x = 4