the point (4,0) lies on a circle with the center at the orgin. what is the area of the circle to the nearsest hundreth?

Answer:

-1/4

Step-by-step explanation:

Given sequence is:

1/2, 1/4 , 0, ...

In order to find the common difference in the terms of a sequence, the preceding term is subtracted from the next term.

For example in the given sequence:

first term will be subtracted from second term and second term will be subtracted from third term

So,

[tex]\frac{1}{4}-\frac{1}{2}  \\=\frac{1-2}{4}\\ =-\frac{1}{4}\\ Similarly,\\=0-\frac{1}{4} \\=-\frac{1}{4}[/tex]

The common difference is - 1/4 ..

Answer:

-1/4

Step-by-step explanation:

Multiply the price of her meal by the percentage of the tip.

15% = 0.15

Tip = 10.25 x 0.15 = 1.54

The tip was $1.54

Answer: $1.54

Step-by-step explanation:

15% of 10.25= 1.54

Answer:

I believe it takes : 3 jumps of 1/5 to reach 15.

Step-by-step explanation:

Hope my answer has helped you!

Answer:

B. x=1

Step-by-step explanation:

Let us define axis of symmetry first.

The point right in between the two x-intercepts of a quadratic equation is called axis of symmetry.

We have x-intercepts of -3 and 5

In ordered to find the axis of symmetry we have to find their middle intercept

To find the axis of symmetry:

[tex]= \frac{-3+5}{2}\\=\frac{2}{2}\\ =1[/tex]

So the axis of symmetry is x = 1 ..

Answer:

B x=1

Step-by-step explanation:

edge 2020 2021

Answer:

B

Step-by-step explanation:

Given a point (x, y) on f(x) then the corresponding point on the inverse is (y, x)

Given (17, 4 ) is a point on the inverse then the corresponding point on  f(x) is

(4, 17 ) → B

Answer:  16.8

Step-by-step explanation:

Find BC:

[tex]tan\theta=\dfrac{opposite}{adjacent}\\\\\\tan(40^o)=\dfrac{BC}{20}\\\\\\20\ tan(40^o)=BC\\\\\\16.78=BC[/tex]

Answer:

41

Step-by-step explanation:

Substitute x = 3 into g(x) then substitute the value obtained into g(x)

g(- 3) = (- 3)² - 2(- 3) - 7 = 9 + 6 - 7 = 8

g(8) = 8² - 2(8) - 7 = 64 - 16 - 7 = 41

Answer:

A, B, C and D.

Step-by-step explanation:

Opposite sides are congruent (B) as well as the 3 that are marked.

Answer:

Options A, B, C and D are correct choices.

Step-by-step explanation:

We are asked to choose the properties of parallelograms from our given choices.

By the definition of parallelogram:

Upon looking at our given choices, we can see that options A, B, C and D are correct choices.

Answer: you simplfy the two equations already there then plug them in to find factors

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

These are called vertical angles.  Vertical angles are equal.

145 = 2x + 15

130 = 2x

x = 65

Answer:

1 & 4

Step-by-step explanation:

Answer:

Answer 1 & 4 IS CORRECT

Step-by-step explanation:

1.  The composite figure consists of two rectangular pyramids.

4. The total volume is 45 units3.

Answer:

neither one

Step-by-step explanation:

Answer:

sine 30=y/(8+10√2)

(8+10√2)sin 30=y

Check the picture below.

Answer:

Triangle

Step-by-step explanation:

A regular polygon of n sides has interior angles of:

a = 180 (n-2) / n

Given a = 60:

60 = 180 (n-2) / n

n = 3 (n-2)

n = 3n - 6

6 = 2n

n = 3

The polygon has three sides, so it's a triangle.

A regular polygon with each angle measuring 60° is an equilateral triangle.

A regular polygon is a polygon with all sides and angles equal. To find the type of polygon where each angle measures 60°, we use the formula for the measure of each interior angle of a regular polygon, which is (n-2) x 180° / n, where n is the number of sides.

Let's solve for n:

Set the angle measure formula to 60°: (n-2) x 180° / n = 60°

Multiply both sides by n to clear the fraction: (n-2) x 180° = 60n

Distribute 180°: 180n - 360° = 60n

Move the terms involving n to one side: 180n - 60n = 360°

Simplify: 120n = 360°

Divide both sides by 120: n = 3

Therefore, a regular polygon with each angle measuring 60° is an equilateral triangle.

Answer:

$765.85

Step-by-step explanation:

The furniture store bought it for $425 (the starting price). They mark it up by 70%.

To solve, multiply 425 with 70%, and then add the number you get to the original price:

425 x 0.70 = 297.5

297.5 + 425 = 722.5

Now, multiply the price gotten by 6%:

722.5 x 0.06 = 43.35

Add the tax amount to the total amount:

43.35 + 722.5 = 765.85

$765.85 is the amount paid by Angela.

~

Answer:

765.85

Step-by-step explanation:

To find the new price, find the mark up

mark up = 425 * 70%

425 *.7

297.5

Add this to the original price to find the new price

425 + 297.5

722.50

Now we need to find the tax

722.5 * 6%

722.5 *.06

43.35

Add this to the sale price

722.5 +43.35

765.85

Your question asks to find the sales price of the boots.

In order to solve your question, we're going to need to find the sales price of the boots.

Lets gather some important information from the question.

Important information:

Original price is $120

40% off

With the information above, we can find the sales price.

Since we know that the original price of the boots is $120, and the boots are 40% off, we're going to need to find how much of 120 is 40% and then subtract it to get our sales price.

[tex]120*.40=48\\\\120-48=72[/tex]

Once you're done solving, you should get 72.

This means that the sales price of the boots is $72.

$72 should be your FINAL answer.

Answer: $72

Step-by-step explanation:

10% of $120 = $12 so

40% is $48, subtracted from $120 = $72

Answer:

[tex]\large\boxed{x>-7\to\{x\ |\ x>-7\}}[/tex]

Step-by-step explanation:

[tex]4x-12<16+8x\qquad\text{add 12 to both sides}\\\\4x-12+12<16+12+8x\\\\4x<28+8x\qquad\text{subtract 8x from both sides}\\\\4x-8x<28+8x-8x\\\\-4x<28\qquad\text{change the signs}\\\\4x>-28\qquad\text{divide both sides by 4}\\\\\dfrac{4x}{4}>-\dfrac{28}{4}\\\\x>-7[/tex]

let's take a peek at the triangles.

they have a 30° angle and a 80° each, and a side that is not in between in common.

[A]ngle [A]ngle [S]ide, AAS congruence.

Answer:

Option B, False.

Step-by-step explanation:

In the given figure two triangles have been given. In these triangles two angles and corresponding side has been given as equal in measure.

Therefore, by AAS theorem for congruence, the given triangles are congruent.

The given statement that the triangle shown may not be congruent is False.

Option B is the answer.

Answer:

Reflection of point 0(x, y) about y-axis = (-x, y)

Step-by-step explanation:

Following are the rules for a counter clockwise rotation of 90 degrees about the origin for a point O(x,y):

1. Invert the sign of the value of x.

2. The value of y-coordinate remains the same.

For example, a point M(h,k) after reflection gives a point M'(-h,k) using the rules given above. The points on the x-y plane are shown in the image attached.

Answer:

Option B

Amount of orange juice did Fabian use to make the punch is 11 liter.              

Step-by-step explanation:

Given : Fabian mixes orange juice with 4 cans of pineapple juice to make punch. Each can of pineapple juice holds 2 liters. He makes a total of 19 liters of punch.

To find : How many liters of orange juice did Fabian use to make the punch?

Solution :

Let x be the amount of orange juice.

There are 4 cans of pineapple juice.

Each can of pineapple juice holds 2 liters.

So, 4 cans can hold [tex]4\times 2=8[/tex] liter of pineapple juice.

Together they make x+8 liter.

He makes a total of 19 liters of punch.

i.e. [tex]x+8=19[/tex]

[tex]x=19-8[/tex]

[tex]x=11[/tex]

Therefore, Amount of orange juice did Fabian use to make the punch is 11 liter.

So, Option B is correct.

x + 9 = 37

To solve for x bring 9 to the right side by subtracting 9 to both sides (what you do on one side you must do to the other). Since 9 is being added on the left side, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.

x + 9 - 9 = 37 - 9

x + 0 = 28

x = 28

Check:

28 + 9 = 37

37 = 37

n - 5 = 9

To solve for n you must add 5 to both sides (what you do on one side you must do to the other). Since 5 is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.

n - 5 + 5 = 9 + 5

n + 0 = 14

n = 14

Check:

14 - 5 = 9

9 = 9

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

x=28

n=14

Step-by-step explanation:

x+9=37

Subtract 9 from each side

x+9-9 = 37-9

x = 28

n-5=9

Add 5 to each side

n-5+5 =9+5

n = 14

Answer:

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)

Step-by-step explanation:

we have

[tex]-3x-y< 12[/tex] ----> inequality A

The solution of the inequality A is the shaded area above the dashed line

[tex]2x+3y\geq 9[/tex] ----> inequality B

The solution of the inequality B is the shaded area above the solid line

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Remember that,

If a ordered pair is a solution of the system of inequalities, then the ordered pair must be in the shaded area of the solution

Plot the points

(-3, 7), (-3, -7), (3,-7), (-4,-0), (0,-4), (0,4), (2,3), (-2,3), (2,-3)

therefore

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)

Answer:Answer:

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)

Step-by-step explanation:

we have

----> inequality A

The solution of the inequality A is the shaded area above the dashed line

----> inequality B

The solution of the inequality B is the shaded area above the solid line

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Remember that,

If a ordered pair is a solution of the system of inequalities, then the ordered pair must be in the shaded area of the solution

Plot the points

(-3, 7), (-3, -7), (3,-7), (-4,-0), (0,-4), (0,4), (2,3), (-2,3), (2,-3)

therefore

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)

Step-by-step explanation:

Answer:

The second graph.

Step-by-step explanation:

In inverse variation, an increase in one variable leads to a decrease in the other value in the relationship.

xα1/y

x=k/y

meaning

xy= constant

Such a graph slants with a negative gradient from left to right of the Cartesian plane. (the second graph).

Answer:

it's B

Step-by-step explanation:

Answer:

3x-4y=2

Step-by-step explanation:

step 1

Plot the figure

we have

A (2, 2), B(-2, -2), C(1, -1), and D(6, 4)

using a graphing tool

The longer diagonal is BD

see the attached figure

step 2

Find the slope of the diagonal  BD

we have

B(-2, -2) and D(6, 4)

m=(4+2)/(6+2)

m=3/4

step 3

Find the equation of the diagonal BD into point slope form

y-y1=m(x-x1)

we have

m=3/4

D(6,4)

substitute

y-4=(3/4)(x-6)

step 4

Convert the equation in standard form

The equation of the line in standard form is equal to

Ax+By=C

y-4=(3/4)(x-6)

y=(3/4)x-(18/4)+4

Multiply by 4 both sides

4y=3x-18+16

3x-4y=18-16

3x-4y=2 -----> equation of the diagonal in standard form

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = [tex]\frac{0+3}{2-0}[/tex] = [tex]\frac{3}{2}[/tex]

note the line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = [tex]\frac{3}{2}[/tex] x - 3 → C

Answer:

9x-24

Step-by-step explanation:

We first expand the expression, this means that we multiply 2 and (x+4)

and 7 and (x-5). This means our expression will be:

2x+8+7x-35+3

Now we collect like terms:

2x+7x+8-35+3

Which will give us:

9x-24

The best deal is Option B, one gallon of milk for $2, after comparing the cost per gallon of each option using the conversion factors for pints, quarts, and gallons.

To determine which option is the best deal, we need to compare the price per gallon of milk for each option. We have been given that there are two pints in a quart, and four quarts in a gallon. Using this information, let's compare:

Comparatively, Option B provides the lowest cost per gallon of milk, making it the best deal.

Answer:

A

Step-by-step explanation:

Consider the smaller than sign as smaller or equal to sign as I couldn,t type the sign

-4(x+3)<-2-2x

Expand the bracket

-4x-12<-2-2x

Add 2x to both sides

-2x-12<-2

Add 12 to both sides

-2x<10

add 2x to both sides

0<10+2x

minus  10 on both sides

-10<2x

SImplify

-5<x

X is larger or equal to -5 which means the option A

Answer:

x^2 = -7x -8

x^2 +7x +8 = 0

D = 49 -32 = 17

x_1,2 = (-7+/-sqrt17)/2 = (-7-sqrt17)/2 and (-7+sqrt17)/2

Step-by-step explanation:

Answer:

x = [tex]\frac{1}{2}[/tex] (-7±√17)

Step-by-step explanation:

x² = -7x - 8

x² + 7x + 8 = 0

Using the quadratic formula, with a=1, b = 7 and c=8,

you will get x = [tex]\frac{1}{2}[/tex] (-7±√17)

Answer:

25.

Step-by-step explanation:

-55 + -7 x 6 - -3 x 4

Answer: -55 + -7 x - 3 x 4 =1,404