Standard form of the equation that goes through (3, -1) with a slope of -1, please!

Answer:

[tex]\sqrt[/tex]y+5x=k

Step-by-step explanation:

y=x^2-6x+k

y+6x=x^2+k

[tex]\sqrt[/tex]y+6x=x+k

[tex]\sqrt[/tex]y+5x=k

Answer:

x = 2

Step-by-step explanation:

h(x) = f(x) + g(x) = x³ + 2x² + 1 - x³ - x² - 4x + 4 ← collect like terms, thus

h(x) = f(x) + g(x) = x² - 4x + 5

Given

h(x) = 1, then

x² - 4x + 5 = 1 ( subtract 1 from both sides )

x² - 4x + 4 = 0 ← in standard form

(x - 2)² = 0 ← in factored form ( perfect square ), thus

x - 2 = 0 ⇒ x = 2

Answer:

x = 40

Step-by-step explanation:

The answer is x = 40. This is because the two angles that are x are 1. congruent and 2. supplementary with 100° (They all add up to 180°). I can show this with a simple equation.

1. 2x + 100 = 180

2. 2x = 80

3. x = 40

Hope this helps! (Please consider giving brainliest)

Answer:

15.6 mg

Step-by-step explanation:

First 4 s- 500/2= 250 mg

After 8 s- 250/2= 125 mg

After 12 s- 125/2= 62.5 mg

After 16 s- 62.5/2= 31.25 mg

At 20 s- 31.25/2= 15.625 mg

The milligrams of a 500 mg sample will remain at 15.625 mg.

We have given that,

5.6 mg

Radon-219 has a half-life of about 4 s.

A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population.

After 20 s,

First 4 s- 500/2= 250 mg

After 8 s- 250/2= 125 mg

After 12 s- 125/2= 62.5 mg

After 16 s- 62.5/2= 31.25 mg

At 20 s- 31.25/2= 15.625 mg

Therefore, the milligrams of a 500 mg sample will remain 15.625 mg.

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Answer:

Surface area of the cube = 216 square units

Step-by-step explanation:

Let the length of a side of a cube = x unit

Diameter of the sphere inscribed in this cube = length of a side of the cube

Volume of the sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]

Where r = radius of the sphere = [tex]\frac{x}{2}[/tex] units

36π = [tex]\frac{4}{3}\pi (\frac{x}{2})^{3}[/tex]

36π = [tex]\frac{4x^{3}\pi }{24}[/tex]

36×24 = 4x³

x = [tex]\sqrt[3]{\frac{36\times 24}{4} }[/tex]

x = 6 units

Length of a side of the cube = 6 units

Surface area of the cube = 6×(Side)²

                                          = 6×(6)²

                                          = 216

                                          = 216 square units    

Answer:

About 5 if your are including 6, or just 3.

Step-by-step explanation:

To find it you can just count the numbers greater than 6.

Hope this helps.

brainliest if correct

Answer:

3 Students

Step-by-step explanation:

There is only two more slots for how many candy bars each student has, in the "7" slot there is only one student that has seven candy bars and in the "8" slot there is two students that had eight candy bars.

1+2=3

I hope that helped.

Answer:

1) x=5 so angles are 25°, 80° and 75°

Step-by-step explanation:

The angles of a triangle should add up to 180. So e.g., for the first one, you know that

5x + 16x + 15x = 180

so

36x = 180

x = 5

Answer:

4

Step-by-step explanation:

I, m

Answer:

-3

Step-by-step explanation:

The given equation is in slope intercept form.

The form is y=mx+b

This is where "m" is the slope, and "b" is the y intercept.

So in this equation, m=-3.

Therefore, the slope is -3.

Answer:

3

Step-by-step explanation:

Work backwards in this problem:

(x+1)(x+2)

x^2+x+2x+2

x^2+3x+2

b=3

Answer:

x = 2.99

Step-by-step explanation:

We can use ratios to solve

5.4            2.6

--------- = ---------

6.21         x

Using cross products

5.4x = 2.6* 6.21

5.4x =16.146

Divide each side by 5.4

5.4x = 16.146/5.4

x = 2.99

Answer:

The area of the square is 9 cm squared

Step-by-step explanation:

I know this because the formula for a square is s squared in which s represents sides so if i substitude the known value in i would get the answer of 9 cm squared.

Solution,

Length=3m

Area of square=(l)^2

=(3)^2

=3*3

=9m^2

hope it helps

Good luck on your assignment

Answer:

(-6,-4)

Step-by-step explanation:

Hope this helps! (:

a) Factor 9x² + y² + z² - 6xy + 2yz - 6xz

This looks a lot like

(x+y+z)² = x² + y² + z²+ 2xy + 2yz + 2xz

except instead of x there's (-3x).   So this must be

(-3x+y+z)² = (-3x)² + y² + z² + 2((-3x)y + (-3x)z + yz)

= 9x² + y² + z² - 6xy + 2yz - 6xz

Looks good.

Answer: (-3x+y+z)²

Since it's a square we could also negate the inside and write this (3x-y-z)²

b) I'll guess that says we want to evaluate this when x=1, y=2, z= -1

(-3(1) + 2 -1)² = (-2)² = 4

Answer: 4

Answer:

The base of the rhombus is equal to 9 centimeters.

Step-by-step explanation:

To calculate the base of the rhombus, we will follow the steps below;

write the formula for calculating the area of a rhombus

area of a rhombus = b × h

where h is the height of the rhombus and b is the base of the rhombus

From the question given,  area of the rhombus = 72 square centimeters   and height of the rhombus is 8 centimeters.

we can now proceed to insert the values into the formula and then solve for b

area of a rhombus = b × h

                72          = b × 8

Divide both-side of the equation by 8

[tex]\frac{72}{8}[/tex]  =  b × 8 /8

[tex]\frac{72}{8}[/tex]   =   b

9 = b

b = 9 centimeters

The base of the rhombus is equal to 9 centimeters.

Answer:

The answer is C

Step-by-step explanation:

By using the quadratic formula, you get

a=1

b=5

c=7

so, when you substitute, you get:

-5±√5²-4(2)(7)

____________

2(1)

The next step is solving the square root and multiplying

Answer:

The yield is 5.974%

Step-by-step explanation:

We proceed as follows ;

coupon rate = Annual coupon payment/bond face value.

The face value is the original amount which the bond was bought and that is $515 according to the question. While the coupon rate is 5.8%

mathematically, annual coupon payment = coupon rate * bond face value = 0.058 * 515 = $29.87

mathematically;

current yield = Annual coupon payment/bond price

current yield = 29.87/500

= 0.05974 or simply 5.974%

so the answer is c. 5.6%

Step-by-step explanation:

Answer:

A 6.0%

Step-by-step explanation:

coupon rate = Annual coupon payment/bond face value.

The face value is the original amount which the bond was bought and that is $515 according to the question. While the coupon rate is 5.8%

mathematically, annual coupon payment = coupon rate * bond face value = 0.058 * 515 = $29.87

mathematically;

current yield = Annual coupon payment/bond price

current yield = 29.87/500

= 0.05974 or simply 5.974%

5.974 rounded to 6.0 %

Answer:

304,305,306

Step-by-step explanation:

x +x+1+x+2=915

3x+3=915

3x=915-3

3x=912

x=304

The three consecutive integers are 304, 305 and 306, option D is correct.

A number system is defined as a system of writing to express numbers.

Let the three consecutive numbers be x, x+1 and x+2

Sum of three consecutive integers is 915.

x+x+1+x+2=915

3x+3=915

Subtract 3 on both sides

3x=912

Divide both sides by 3

x=304

Hence, the three consecutive integers are 304, 305 and 306, option D is correct.

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Answer:

C

Step-by-step explanation:

4y=32

Taking 4 to the other side

y=32/4

y=8

Answer:

c

Step-by-step explanation:

c

Answer:

2/5

Step-by-step explanation:

make it reciprocal

2x/5 = 4/25

cross multiply the numbers

2x × 25 = 4×5

2x= 20/25

2x= 4/5

x = 2/5

Answer:

it is a slope intercept form

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

It would be the last graph (bottom right)

An outlier is a point that is much further away from the rest of the data

As you can see, that graph has one piece of data that is much further away from the rest of the data

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Answer:

[tex]A = \dfrac{C^2}{4\pi}[/tex]

Step-by-step explanation:

Given that

Area of a circle [tex]A=\pi r^2[/tex]

Circumference of the circle [tex]C = 2 \pi r[/tex]

Let us re-write the equation of area of circle:

[tex]A=\pi r^2[/tex]

[tex]A = \pi \times r \times r[/tex]

Multiplying and dividing with 2:

[tex]A = \dfrac{2\pi r}{2} \times r\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C}{2} \times r\\\text{Multiplying and dividing by } 2\pi:\\\Rightarrow A = \dfrac{C}{2} \times \dfrac{2\pi r}{2\pi}\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C \times C}{4 \pi}\\\Rightarrow A = \dfrac{C^2}{4 \pi}[/tex]

Hence, A in terms of C can be represented as:

[tex]A = \dfrac{C^2}{4\pi}[/tex]

Answer:

The volume of the steps is:

Step-by-step explanation:

Remember that the volume regularly is:

There are many forms to solve this exercise, but I'll show you two:

1. Imagine that aren't steps but a big solid, then its volume would be:

Now you can subtract the volume of a small solid with measures 30 cm * 30 cm * 120 cm (where is the blank for the step):

Now you subtract:

2. The building steps are formed by three solid with volume 30 cm * 30 cm * 120 cm, so:

Answer:

Equal to grade 5 math.

Start by setting up a factor tree for each number.

Factor in anyway that you'd like.

At the end, circle all prime numbers.

Remember, prime numbers are numbers

with only 2 factors, 1 and the number itself.

Now write these factors in least to greatest

multiplying them separate rows.

Circle factors they have in common.

Since 3 pairs of two's match up, multiply by 2 three times to get 8.

So the GCF is 8.

Answer:

8

Step-by-step explanation:

3 multiplied by 8 = 24

and 4 multiplied by 8 = 32

Answer:

Angle A: 40°

Angle B: 50°

Angle C: 90°

Side A: 14

Side B: 12

Side C: 11.2 or 11 if you round to the nearest whole number.

Step-by-step explanation:

Angle A;

Since we know angles B and C we can use those to help us find angle since all three angles should add up to 180°.

90-50=40

Angle A= 40°

Side C;

Since we know all the angles now and the other two side lengths, we will use those to help us find Side C.

cos 40°= C/14

C/14= cos 40°

C/14=  .8

C= .8 x 14

C= 11.2

Hope this helps! Have a great day! :)

Answer: 6 cm

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:  

Volume of a cylinder (V): π x radius ² x height  

Replacing with the values given and solving for v (Volume)  

1584 = π x r ² x 14

Solving for r:

1584 / (π x 14) = r²

36.01 = r²

√36.01 = r

6 cm = r

In conclusion, the radius of the cylinder is 6 centimeters.

Feel free to ask for more if needed or if you did not understand something.

Answer:

The radius is 6 cm

Step-by-step explanation:

To solve this, we will follow the steps below:

write down the formula for finding the volume of a cylinder

volume of a cylinder =πr²h

from the question volume of the cylinder = 1584 cm²

height = 14 cm

substitute the formula and solve for r

π is a constant and is ≈ 3.14

1584 = 3.14×r²×14

1584= 43.96 r²

divide both-side of the equation by 43.96

36≈ r²

take the square root of both-side

√36 = √r²

6 = r

r = 6cm

The radius is 6 cm

Answer:

4x^3y^2

Step-by-step explanation:

Then the remaining would be

x^2+4y^2-2x^3y

Answer:

4x^3y^2

Step-by-step explanation:

Please refer to the picture attached.

Answer:

The cups of rain water that were added to the barrel during the month is:

Step-by-step explanation:

First, you must know the conversion units between ounces and cups:

Then, at the beginning of the month, the rain barrel contained 12 ounces, what is in cups:

We operate:

Now, how at the end of the month there are 8 1/4 cups of water in the rain barrel, in a decimal number it is equal to:

To know what is the cups of rainwater were added to the barrel during the month, you must subtract the number of cups at the beginning of the month to the number of cups at the end of the month:

Answer:

6.75

Step-by-step explanation:

i just took the test