Identify the center and intercepts of the conic section

Answer: Thirteen and Eight tenth

Step-by-step explanation:

Product means multiplication

From the question, 4.6 x 3 = 13.8

Answer:

(x-2)(x+2)

Step-by-step explanation:

if we expand the above quadratic we can see that the -2x and + 2x will cancel eachother out therefore there is no bx in this quadratic equation

Answer:

No roots/solutions

Step-by-step explanation:

No bx means b = 0

B² - 4AC

(0)² - 4(1)(4)

-16 < 0

Answer:

The horizontal distance travelled by an arrow is  70.6  m.

Step-by-step explanation:

Given : An archery arrow is shot with a speed of 45 m/s at an angle of 10°.

To find : How for  horizontally can the arrow travel before hitting a target at the same height  from which it was released?

Solution :

The expression for the range of the projectile motion is

[tex]R=\frac{V^2\sin 2\theta}{g}[/tex]

Where, the velocity of an arrow is V = 45 m / s

The angle of release of an arrow is  [tex]\theta=10^\circ[/tex]

The acceleration due to gravity is g =9.81  m/s²

Substitute the values,

[tex]R=\frac{45^2\sin 2(10)}{9.81}[/tex]

[tex]R=\frac{2025\sin (20)}{9.81}[/tex]

[tex]R=70.6\ m[/tex]

Therefore, the horizontal distance travelled by an arrow is  70.6  m.

The arrow travels approximately 70.9 meters.

To determine how far the arrow travels horizontally, we need to break the initial velocity into horizontal and vertical components and use the projectile motion equations.

Step-by-step solution:

The arrow travels approximately 70.9 meters horizontally before hitting a target at the same height from which it was released.

Answer: x=16

Step-by-step explanation:subtract 26 from 90 then divide 64 by 4 and you get 16

Answer:

X=16

Step-by-step explanation:

The answer is 16. 90-26/4=16

Answer:

x = -1

Step-by-step explanation:

Given

(x - 5)(-3) = 18

Expand the bracket

x X -3 -5 x -3 = 18

-3x + 15 = 18

Subtract 15 from both sides

-3x + 15 - 15 = 18 - 15

-3x = 3

Divide both sides by -3

-3x/-3 = 3/-3

x = -1

The Question is Incomplete, the Complete Question is with figure is below.

Answer:

Therefore,

The Measure of angle 6 is

[tex]\angle 6 =45\°[/tex]

Step-by-step explanation:

Given:

m∠1 = 135°

Lines b and c are parallel.

To Find:

m∠6 = ?

Solution:

Linear Pair:

A linear pair of angles is formed when two lines intersect.  

Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.  

The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.  

Example

∠ 1 and ∠ 2 ∠ 1 and ∠ 3 ,etc

[tex]\angle 1 + \angle 3 = 180\°[/tex]

Substituting the values we get

[tex]135 + \angle 3 = 180\\\\\angle 3 = 180-135=45\°[/tex]

Now,

Lines b and c are parallel.  .Given

When Two lines are Parallel Alternate interior angles are equal

∠ 3 and ∠ 6 are Alternate Interior angles

[tex]\angle 3 = \angle 6[/tex]

But [tex]\angle 3 =45\°[/tex]

[tex]\angle 6 =45\°[/tex]     ...Transitive Property

Therefore,

The Measure of angle 6 is

[tex]\angle 6 =45\°[/tex]

Answer:

A.

Step-by-step explanation:

All of the other questions don't make sense because they are statistical

Answer:

2.19 liters = 2190 milliliters

Step-by-step explanation:

Answer:

Reflectional Symmetry

Answer: Therefore, They both have the same amount!

Step-by-step explanation:

Carter=  20+10+4(5)+2(1)=

             30+20+2= 52 dollars

Aubrey=  2(10)+5(5)+7(1)=

                20+25+7=52 dollars

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To write the radius of the fishing line in standard form, it is 0.00025 foot. In inches, the length is 0.003 inches.

The radius of the fishing line is given as 2.5*10^-4 foot. To write this number in standard form, we first need to convert it into decimal form.

To do this, we move the decimal point four places to the left, since the exponent is negative. This gives us 0.00025.

Therefore, the number in standard form is 0.00025 foot.

To convert this into inches, we know that there are 12 inches in a foot. So, we multiply the length in feet by 12 to get the length in inches.

Therefore, the length of the fishing line in inches is 0.00025 foot * 12 inches/foot = 0.003 inches.

Answer:

1. The quadratic equation is 3x² +17.5x - 58.5 = 0

2. The values of x are 2.38 and -8.21, but we only take 2.38 for our problem.

3. The dimensions of the combined area are approximately 6.38 inches and 12.64 inches.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Photograph dimensions = 4 inches * 6 inches

Frame dimensions = x inches * 3x - 0.5 inches

Area of the combined area of the photograph and the frame = 80.5 inches²

2. Write a quadratic equation for the combined area. Then use the quadratic equation formula to find x.

One side of the combined area of the photograph and the frame = 4 + x inches

Second side of the combined area of the photograph and the frame = 6 + 3x - 0.5 inches

Now, we can write the quadratic equation this way:

Combined area of the photograph and the frame = One side * Second side, replacing with the values we know:

80.5 = (4 + x) * (6 + 3x - 0.5)

80.5 =  (4 + x) * (5.5 + 3x)

80.5 = 22 + 5.5x + 12x + 3x²

3x² +17.5x - 58.5 = 0

Using the quadratic formula, where, a = 3, b = 17.5 and c = - 58.5, we have:

x = (-b +/- √b² - 4ac)/2a

x = (-17.5 +/- √17.5² - 4 * 3 * -58.5) 2 * 3

x = (-17.5 +/- √306.25 + 702)/6

x = (-17.5 +/- √1,008.25)/6

x = (-17.5 +/- 31.75)/6

x₁ = 14.25/6 = 2.38

x₂ = -49.25/6 = -8.21

We took the value of x₁ because x₂ is negative and we can't have a negative value for the length or the width, therefore:

80.5 = (4 + x) * (5.5 + 3x)

Replacing x, we have:

80.5 = (4 + 2.38) * (5.5 + 3 * 2.38)

80.5 = 6.38 * 12.64

80.5 ≅ 6.38 * 12.64

Answer:

B.Dining out

Step-by-step explanation:

A, C, and D are very important and without those she would be in big trouble. She does not need to dine out. Instead of dining out she can go to a normal grocery store and buy cheap food there.

Answer:

It would be DINNING OUT.

Step-by-step explanation:

Because it is something you can stop paying for and save money on. It is a variable expense.

Answer:

29/100

Step-by-step explanation:

Answer: 29/100

Step-by-step explanation:

The 2 is in the Tenth place

The 9 is in the Hundredths place

so get 29/100

Example: .5 as a fraction

Answer: 5/10

Answer:

t = 1/2

Step-by-step explanation:

6 - (3t+4) = t

Distribute the minus sign

6 - 3t -4 = t

Combine like terms

2 -3t = t

Add 3t to each side

2 -3t +3t = t+3t

2 = 4t

Divide each side by 4

2/4 =4t/4

1/2 =t

Answer:

6-(3t+4)=t

6-3t-4=t

6-4=t+3t

2=4t

t=2/4

Answer:x<29

Step-by-step explanation:

X<29

The given pyramid's volume is 40 cubic units.

Step-by-step explanation:

Step 1:

It is given that base areas of the pyramid and the prism are the same. The height is also equal.

The rectangular prism's height is 15 units so as per the given question, the height of the pyramid is also 15 units.

Step 2:

The volume of this pyramid is obtained by multiplying [tex]\frac{1}{3}[/tex] with the product of the pyramid's length, width, and height.

For the given pyramid, length = 2 units, width = 4 units and the height = 15 units.

The pyramid's volume [tex]= \frac{1}{3} (length)(width)(height)[/tex] = [tex]\frac{1}{3} (2)(4)(15) = \frac{1}{3} (120)[/tex] = 40 cubic units.

So the volume of the given pyramid is 40 cubic units.

Answer:

V=62.8

Step-by-step explanation:

3.14(2)^2(5)

3.14(4)(5)

12.56(5)

62.8

Decimal point moved 5 places to the right, since 10⁵ has 5 zeros in it.

Step-by-step explanation:

52.48 is multiplied by 10 to the power of 5, that is 100, 000, we will get ,

[tex]52.48 \times 10^{5}=5248000.00[/tex]

When 52.48 is multiplied by 100,000, we will get 5248 followed by 5 zeros, 524800000.

Now we have to count the decimal point from left to right, so we will get 5248000.00, zeros after the decimal point has no value.

The decimal point should be moved _5__ places to the right because there are _5__ zeros in 10 to the power of 5.

Answer:

t=-3

Step-by-step explanation:

12t+12=-24

12t=-36

t=-3

Answer:

The coefficient is the number before x. So it is 6.

Answer:

Step-by-step explanation:

the answer is B) 6

Answer:

15

Step-by-step explanation:

The age cullen is 5 yrs and Ada is 15 years old.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

Cullen is 10 years younger than Ada.

The product of their ages 2 years ago was 39.

let the age of ada be x

Cullen's age = x- 10

22 years ago there age will be

Ada = x-22

Cullen = x-32

Now, the product of their age is 39

(x-2)(x-12)=39

x²-12x-2x + 24=39

x² -14x + 24=39

x² - 14x -15 = 0

x² -15x + x- 15=0

x(x-15) + 1(x-15)=0

(x-15)(x-1)=0

x= 15 or -1.

Hence, the age of Ada is 15 yrs and cullen age is 5.

Learn more about algebra here:

https://brainly.com/question/13715639

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Answer:

9.86 / 0.85 = 11.6

Step-by-step explanation:

Answer:

1,000

Step-by-step explanation:

23,000 divided by 23 is 1,000

Answer:

x=10

y=2

Step-by-step explanation:

1)add the equations and find what x is.

x-y=8

+x+y=12

—————

2x=20

— —

2 2

x=10

3)fill in x for the second equation.

x+y=12

since x=10,replace x with 10.

10+y=12.

subtract 19 from both sides.

10+y=12

-10 -10

—————-

y=2

Answer:

Where is the question

Step-by-step explanation:

Answer:

75% are so 15%

Step-by-step explanation:

To determine the percentage of the jury not over 35 years old, divide the number of jurors not over 35 by the total number of jurors (3/12) and then multiply by 100, resulting in 25 percent.

If nine out of twelve jurors are over 35, then three out of twelve jurors are not over 35. To find out what percentage of the jury is not over 35, we use the following calculation:

Therefore, 25 percent of the jury is not over 35 years old.

Answer:

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