Write an equation that represents the line (-2,1) and (4,6)

To solve the given polynomial addition and subtraction question, combine like terms. The z4 terms combined are -7z4 and the z2 terms are 5z2, resulting in the simplified expression 5z2 - 7z4.

To add or subtract the polynomials 7z2 − 2z4 − 2z2 − 5z4, you'll want to combine like terms. Like terms are terms that have the same variables raised to the same power.

Here, z2 and z4 are like terms, so you can combine them separately.

Starting with the z4 terms:
-2z4 and -5z4 combine to give you -7z4. They both have the same variable z raised to the fourth power, so you just add the coefficients, keeping the exponent the same.

Then, combine the z2 terms:

7z2 and -2z2 combine to give you 5z2.

Similarly, these terms have the same variable z raised to the second power.

Now, putting it all together, you get:

5z2 − 7z4

This is the simplified version of the polynomial after combining like terms.

Answer:

C

Step-by-step explanation:

Using the sine ratio in the right triangle

sin17° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{25}[/tex]

Multiply both sides by 25

25 × sin17° = x, thus

x ≈ 7.3 → C

Answer:

80

Step-by-step explanation:

Following the order of operations (PEMDAS), you would first multiply 10 by 6 to get 60. You would then add 20 to the product to get your answer.

(10 · 6) + 20

60 + 20 = 80

look at the attached picture

hope it will help you

Answer:

14 m

Step-by-step explanation:

For the triangle, you use the formula A=1/2bh. So in this case it's 3×4×1/2. 3×4 is 12, times 1/2 is 6 m. Now for the rectangle it's just 2×4 which is 8. 8+6 is 14. Hope this helps! If you are still confused please comment!

Image is missing, so i have attached it.

Answer:

AC = 10sin 40°

Step-by-step explanation:

From the diagram attached, using terms in trigonometric ratio, AC is the opposite side, BC is the adjacent side and AB is the hypotenuse.

Thus, since we want to find AC;

We know that in trigonometric ratios; opposite/hypotenuse = sin θ

In the diagram, θ = 40° and AB = 10

Thus,

AC/10 = sin 40°

Multiply both sides by 10 to get;

AC = 10sin 40°

Answer:

2,400 cm3

Step-by-step explanation:

If the dimensions of the rectangular prism are 25 cubes, 6 cubes and 16 cubes, and each cube has 1 centimeters, the dimensions in centimeters are:

25 cm, 6 cm and 16 cm.

Then, to find the volume of the rectangular prism, we just need to multiply all three dimensions:

Volume = 25 * 6 * 16 = 2,400 cm3.

Answer:

180000 m/s

Step-by-step explanation:

The frequency of the wave is 900 Hz.

The wavelength of the wave is 200 m.

The speed of a wave is given as the product of wavelength and frequency. That is:

v = λf

where λ = wavelength

f = frequency

The speed of the wave is therefore:

v = 200 * 900 = 180000 m/s

The speed of the wave is 180000 m/s.

Answer:

7pi/theta

Step-by-step explanation:

Arc length = r × theta

7pi = r × theta

r = 7pi/theta

Answer:

7pi/theta

Step-by-step explanation:

hope it helps <3

Answer:

x = 3.873 units

or x = [tex]\sqrt{15}[/tex] units

Step-by-step explanation:

Hypotenuse = 4  ,  x = height of this isosceles triangle.

base is 2,

so Use Pythagorean Theorem.

x^2 + 1^2 = 4^2

x^2 =  4^2 - 1^2

x^2 = 16 - 1 = 15

x = root(15) =

Answer:

Step-by-step explanation:

[tex]\sqrt{64x^{16}} =\sqrt{8^{2}*x^{8*2}}\\\\ =\sqrt{8^{2}*(x^{8})^{*2}}\\\\=8x^{8}[/tex]

Answer:

Step-by-step explanation:

9-2=7

Answer=7

9514 1404 393

Answer:

  83.5π ft² ≈ 262.3 square feet

Step-by-step explanation:

Fido's area is 3/4 of a 10' radius circle plus 1/4 each of a 3' radius and 5' radius circle.

  A = (3/4)(π(10 ft)²) +(1/4)(π)((3 ft)² +(5 ft)²)

  = (75π +34/4π) ft² = 83.5π ft² ≈ 262.3 square feet

Answer:

approximately 262.3 square feet

Step-by-step explanation:

Area of a rectangle is length x width.

Let the width = x

The length would be x +7. ( 7 inches longer than the width)

Area = 20

Set up the formula:

20 = x * x+7

Simplify the right side:

20 = x^2 + 7x

Subtract 29 from both sides:

X^2 + 7x -20 = 0

Solve using the quadratic equation

X = -b + sqrt(b^2 -4ac) / 2a

X = -7 + sqrt(7^2-4(1)(-20) / 2(1) (exact answer)

X = 2.178908 ( as a decimal)

The width is 2.178907 inches (round as needed)

The length would be 9.178907 inches ( round as needed.)

Depending on how you round, when you multiply them together you get approximately 20 square inches.

Step-by-step explanation:

Step 1:  Find the dimensions

l = 7 + w

Area = 20

Find width

[tex]A = l * w[/tex]

[tex]20 = (7 + w)(w)[/tex]

[tex]20 - 20 = 7w + w^2 - 20[/tex]

[tex]w^2 + 7w - 20 = 0[/tex]

[tex]w=\frac{-(7)\pm\sqrt{(7)^2-5(1)(-20)}}{2(1)}[/tex]

[tex]w = 2.17890...[/tex]

Find length

[tex]l = 7 + w[/tex]

[tex]l = 7 + 2.17890...[/tex]

[tex]l = 9.17890...[/tex]

Answer: [tex]Width = 2.17890..., Length = 9.17890...[/tex]

The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius.

The circumference of a circle can be found using the formula C = 2πr, where C represents the circumference and r is the radius of the circle.

For example, if the radius of the circle is 5cm, the circumference would be C = 2π(5) = 10π cm. It is important to note that the circumference is always given in terms of π, which represents the mathematical constant.

Therefore, the circumference of a circle can be calculated by multiplying the radius by 2π.

https://brainly.com/question/26605972

#SPJ2

Answer:

YOU CANNOT DIVIDE BY 0

Step-by-step explanation:

Answer:

Undefined. You cannot divide zero by zero.

The statement which best describes the situation correctly is that the golf ball is on the ground at 0 and 6 seconds.

Given that:

Sharon hits a golf ball off the ground.

The function h represents the height of the golf ball, in feet, t seconds after it is hit.

h(t) = -16(t - 3)² + 144, which is a quadratic function.

Since the options contain the time when the ball hits the ground, it is required to find the time when the ball hits the ground.

When the ball is on the ground, the height is 0.

So, h(t) = 0

-16(t - 3)² + 144 = 0

-16(t - 3)² = -144

Divide both sides by -16.

(t - 3)² = 9

Take the square root on both sides.

t - 3 = ±√9

t - 3 = ±3

So, t = 3 + 3 and t = -3 + 3

So, t = 6 and t = 0

Hence, the ball hits the ground when t = 0 and t = 6, which is option B.

Learn more about Quadratic Functions here :

https://brainly.com/question/29775037

#SPJ2

The complete question is given below.

25%

12x0.25=3

12+3=$15

Using percentages we know that the percentage increase is 1.25%.

So, the percentage increase:

Now, calculate as follows:

Therefore, using percentages we know that the percentage increase is 1.25%.

Know more about percentages here:

https://brainly.com/question/9553743

#SPJ2

Answer:

(0,5)

Step-by-step explanation:

5^1=5, meaning that the y coordinate y-intercept is 5. Therefore, the y intercept is (0,5). Hope this helps!

Answer:

his page is about surface area of prism. ... Base is triangular so either use 1) Area = ½ x base x height or if the height is ... 1) The base of a triangular prism is ΔABC, where AB = 3 cm, BC = 4 cm and ∠B = 90. If the height of the prism is 10 cm. ... by Pythagorean theorem in ΔABC, C 2 = a 2 + b 2 = 3 2 + 4 2 = 9 + 16. C 2 = 25

Step-by-step explanation:

Answer:

1.79 radians to the nearest hundredth.

Step-by-step explanation:

To covert, we multiply degrees by π/180

so radians = 102.48 * π/180

= 1.7886 radians.

Answer:

do you need help

Step-by-step explanation:

Answer:

Between 75 and 98.

Step-by-step explanation:

Let's first have a look at the previous data available:

Friday, 27 dunk teachers out of 215 participants (12.5%)

Saturday: 54 dunk teachers out of 417 participants (12.9%)

Sunday: 39 dunk teachers out of 368 participants (10.6%)

So, based on the previous 3 days, she can expect between 10% and 13% will dunk a teacher.

If she has 750 contestants on Monday, the number of winners should then be in the range of 75 (10% of 750) and 98 (13% of 750).

Read more on Brainly.com - https://brainly.com/question/15946044#readmore

Step-by-step explanation:

Answer:

k = 21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Inverse Variation:   xy = k

x = 7

y = 3

Step 2: Solve for k

Answer:

-30

Step-by-step explanation:

-6*5=-30

The value of the x is -30 or the value of the number expression is -30 after performing the arithmetic operation the answer is -30.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that;

The number expression is:

= 5(-6)

Let x  be the value of the expression;

x = 5(-6)

After performing the arithmetic operation:

x = -30

Thus, the value of the x is -30 or the value of the number expression is -30 after performing the arithmetic operation the answer is -30.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

x^3  <-- exponent, x to the power of three

Explanation:

x(x+2)(x+4)

=(x(x+2))(x+4)

=(x(x+2))(x)+(x(x+2))(4)

=x^3+2x^2+4x^2+8x

=x^3+6x^2+8x

Step-by-step explanation:

x(x+2)(x+4)

first get rid of the bracket

x square +2x+x+4

x^2 + 3x + 4

Answer:

The volume of the sphere is [tex]0.415\ \text{inch}^3[/tex].

Step-by-step explanation:

The diameter of a sphere is 0.926 inch. It is required to find the volume of the sphere. The formula used to find the volume of sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Since, r is radius, r = d/2 = 0.463 inch

So,

[tex]V=\dfrac{4}{3}\times 3.14\times (0.463)^3\\\\V=0.415\ \text{inch}^3[/tex]

So, the volume of the sphere is [tex]0.415\ \text{inch}^3[/tex].

Answer:

Yes

Step-by-step explanation:

1/1=1

So 11/11 =1

By substituting 11 for h you get it fits

Answer:

Pressure = 6psi

Step-by-step explanation:

The formula for finding pressure is

Pressure = Force ÷ Area

Substitute your values into the equation and solve for Pressure

Pressure = 30 ÷ 5

Pressure = 6psi

Answer:

96

Step-by-step explanation:

12x8=96

Answer:

15 people

Step-by-step explanation:

if each person eats 8 pieces of pizza, 12 people can be served because 8 slices are in 1 pizza and he ordered 12 pizzas.