Evaluate: 4.5p + 8.2n when p=6 and n=5.

9514 1404 393

Answer:

  (x +2)^2 +(y -5)^2 = 9

Step-by-step explanation:

The circle shown has a radius of r = 3 and a center at (h, k) = (-2, 5).

The equation of a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

For the given center and radius, the equation is ...

  (x +2)^2 +(y -5)^2 = 9

Answer:

Find the volume of this prism.

Answer:

24% or d

Step-by-step explanation:

Answer:

A. 10,000

Step-by-step explanation:

A. is 10,000, so it is equivalent to 10,000

B. -10,000    No

C. 100   No.

D. 10   No.

Answer:

3n+3

hope it helps

Answer:

[tex]y=-3(x-5)^2+4[/tex]

Step-by-step explanation:

Hi there!

Given the vertex of a parabola and a point, it's easiest to organize the equation in vertex form:

[tex]y=a(x-h)^2+k[/tex] where the vertex is located at [tex](h,k)[/tex] and a is a numerical value

1) Plug the vertex into the equation

[tex]y=a(x-h)^2+k[/tex]

Plug in the vertex (5,4)

[tex]y=a(x-5)^2+4[/tex]

2) Solve for a

[tex]y=a(x-5)^2+4[/tex]

Plug in the given point (3,-8) and solve for a

[tex]-8=a(3-5)^2+4\\-8=a(-2)^2+4\\-8=4a+4[/tex]

Subtract 4 from both sides

[tex]-8-4=4a+4-4\\-12=4a[/tex]

Divide both sides by 4

[tex]\frac{-12}{4} = \frac{4a}{4} \\-3=a[/tex]

Therefore, a=-3. Plug this back into [tex]y=a(x-5)^2+4[/tex]:

[tex]y=-3(x-5)^2+4[/tex]

I hope this helps!

Answer:

This question is incomplete, so I can not give you an exact answer, but I can give you the answer for the general case.

If we have a function f(x), the average rate of change between the values:

x = a and x = b,

is given by:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

So if we want to find the rate of change from:

x = -1 to x = 1

it is just:

[tex]r = \frac{f(1) - f(-1)}{1 - (-1)} = \frac{f(1) - f(-1)}{2}[/tex]

So just to show an example, if:

f(x) = 3*x^2 - 5

the average rate of change in that interval will be:

[tex]r = \frac{f(1) - f(-1)}{2} = \frac{3*1^2 - 5 - (3*(-1)^2 - 5)}{2} = \frac{-2 - (-2)}{2} = 0[/tex]

Answer:

(-3,0) and (0,3)

Step-by-step explanation:

The solution to the system of equation is where the two graphs intersect

The intersect at two points

(-3,0) and (0,3)

The answer to the question is C. 5,20,80,320

Step-by-step explanation:

5*4=20

20*4=80

80*4=320

Answer:

190,000

190,000

190,000

Step-by-step explanation:

190,000

190,000

Answer:

35 metres

Step-by-step explanation:

The question states that A runs 25% faster than B. This means that, for every 1 second that B runs, A runs 1.25 second

Assuming that the total length of the race, that we're looking for, is D. Then we can say that B made a total distance of D-7 meters, and A runs D.

time taken by A = [tex]\frac{D}{1.25}[/tex]

time taken by B = [tex]\frac{D-7}{1}[/tex]

equating both together, we have

[tex]\frac{D}{1.25}[/tex] = [tex]\frac{D-7}{1}[/tex]

1.25D  - 8.75 = D

1.25D - D = 8.75

0.25D = 8.75

D = 8.75/0.25

D = 35

20- +3

21- -7

22- +4

23- 8

24- 4

ask your teacher for further guidance because explaining negatives is difficult for me

Answer:

20) - 2+5

= 3

21) 8+(-15)

=8 - 15

= - 7

22) - 10 +14

= 4

23) 6-(-2)

=6 +2

= 8

24) - 16-(-20)

= - 16 +20

= 4

Step-by-step explanation:

This is step by step explanation

Please Mark me brainlist

Answer:

Step-by-step explanation:

I'll just write log for log base 10.  The important rules about logarithms we need to know are:

[tex] a \log b = \log( b^a) [/tex]

[tex] \log a + \log b = \log( ab) [/tex]

and at the end we'll need something like

[tex]\log a = \log b \implies a=b[/tex]

Suitably armed we can begin,

[tex] \left( 1 + \dfrac{1}{2x} \right) \log 3 + \log 2 = \log (27 - 3^{1/x}) [/tex]

First rule,

[tex] \log 3^{ 1 + 1/2x}  + \log 2 = \log (27 - 3^{1/x}) [/tex]

Second rule,

[tex] \log 2(3^{ 1 + 1/2x})  = \log (27 - 3^{1/x}) [/tex]

Third rule,

[tex] 2(3^{ 1 + 1/2x})  = 27 - 3^{1/x} [/tex]

We can rewrite this to be a quadratic equation in [tex]y=3^{1/2x}[/tex].

[tex]  6 (3^{1/2x})  = 27 -  (3^{1/2x})^2 [/tex]

[tex]y^2 +6y - 27 =0[/tex]

[tex](y - 3)(y+9)=0[/tex]

[tex]y=3 \textrm{ or } y=-9[/tex]

First solution:

[tex]3^{1/2x} = 3 = 3^{1}[/tex]

[tex]1/2x = 1[/tex]

[tex]1=2x[/tex]

[tex]x = 1/2[/tex]

Second solution,

[tex]3^{1/2x} = -9[/tex]

No real powers of 3 will be negative, no solution here.

Answer: x=1/2

Check:  

1 + 1/2x = 2 so the left side is log 2(3²) = log 18

Right side, log(27-3^2) = log 18  √

Answer:

The statement is true.

Step-by-step explanation:

Let the two points are (x', y') and (x'', y'').

The equation of line passing through the two  points is

[tex](y - y')=\frac{y''-y'}{x''-x'}\times (x - x')[/tex]

So, it is true to find the equation of line when the two points is given.  

Answer:

70

Step-by-step explanation:

the figure shown is a parallelogram with a base length of 10 ft and a height of 7 ft

the area of a parallelogram can simply be calculated by multiplying the base length by the height

hence, area = 7 * 10 = 70

Answer: 10 times 7

Step-by-step explanation: 10 times 7

Step-by-step explanation:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

Answer:

B=8

Step-by-step explanation:

you add 19 to both sides of the equation to get B by itself.

[tex]B=-11+19\\B=8[/tex]

answer:

8,

reason

11+8=19

alalalalalalalaalalalalal

20character minimum^

Answer:

x+14.  

Sum of a number and 14 is x+14.

Answer:

-4 is the correct answer

Answer:

y=18

Step-by-step explanation:

equation:y=3x -7

x=7 then y =?

substitute the vale of x in the equation

y=3x-7

y=3*7-7

y=21-7

y=18

therefore the value of y corresponds to 7 is 18.

Answer:

29

Step-by-step explanation:

45 - 16 =

co.op

interest = principle * rate * time in years

8000*0.09*1= 720$

total owed =

principle + interest

8000+720= 8720$

bank

interest = principle * rate * time in years

interest = principle * rate * time in years8000*0.06*1= 480$

principle + interest

8000+480= 8480$

......

6)

Bank A

interest = 1500*2*0.18= 540$

total owed = 1500+540= 2040$

Bank B

compound interest =

1500(1+0.12)^2

compound interest= 1881.6

total owed = 1500+1881.6= 3381.6$

she should choose Bank A less total owed

she'll have to pay the bank 2040$

Answer:

8xy

Step-by-step explanation:

(5xy)-(-3xy)= 5xy+3xy=8xy

Why:

Well if you have 5 of that something and get 3 more of that something you have 8 of that something.

Answer:

8xy

Step-by-step explanation:

5xy--3xy

a - and a - equal a +, so it's 5xy+3xy, which equels 8xy.

Answer: 2) 15 square units

Step-by-step explanation:

The area of the triangle is 15 square units if the triangle ABC with altitude CD, given A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2) which is correct option (2)

The distance between two points is defined as the length of the line segment between two places represents their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.

The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².

Given that a triangle ABC with altitude CD.

The coordinates for the triangle are A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2)

Given that the distance between C and D will be the height of the triangle

Since, the distance between the points by using the distance formula:

= √ (x₂ – x₁)² + (y₂ – y₁) ².

height = √ (-4 – 0)² + (-2 – 0) ²

height = √20

base = √45

Area of triangle = (1/2)base x height

Area of triangle = (1/2)√20×√45

Area of triangle = (1/2)30

Area of triangle = 15 square units

Hence, the area of the triangle is 15 square units if the triangle ABC with altitude CD

Learn more about distance between two points here:

https://brainly.com/question/15958176

#SPJ2

Hi there!  

»»————-　★　————-««

I believe your answer is:  

The x-intercept of the graph is -7. (or (-7, 0). )

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Slope for the line:}}\\\\m = \frac{8-0}{1-(-7)}\\\\m = \frac{8}{8}\\\\\boxed{m = 1}[/tex]

⸻⸻⸻⸻

Option B is a false statement.

⸻⸻⸻⸻

We can tell with the point (-7,0) that the 'x' intercept of the function is -7.

⸻⸻⸻⸻

The line does not pass (7,0), making option C a false statement.

⸻⸻⸻⸻

The line also does not pass (-1, -8), making option D a false statement.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Yes, Sierra is correct

Step-by-step explanation:

Given

[tex]4(y + 7) > -3 (4 + 5)[/tex]

Required

Is she correct

The right parenthesis has 4 + 5.

This can be simplified as: [tex]4 + 5 = 9[/tex]

So, we have:

[tex]4(y + 7) > -3 (4 + 5)[/tex]

[tex]4(y + 7) > -3 *9[/tex]

The left parenthesis has y + 7.

This cannot be simplified because y is a variable and 7 is a number.

Hence, Sierra is correct.

Answer:

134.16 yards or 134.2 if you round to the nearest tenth

Step-by-step explanation:

Using the formula a^2+b^2=c^2

120^2+60^2=c^2

18000=c^2

the square root of 18000 is around 134.16.

Answer:

5275.2 m³

Step-by-step explanation:

We need the radius first:

[tex]\sqrt{l^2- h^2}[/tex] = 12

Formula for volume = πr²*h/3

Volume = 3.14 * 144 * 35/3

Volume = 5275.2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Hi, there your answer is 13.592

Step-by-step explanation:

The similarities of two circles is dependent on the radius of circle A and circle B. So the radius of both circles must exist for the circles to be similar.

Given that:

Circles A and B

To prove the similarities of the two circles, the radius of both circles must be known.

Assume the radius of circle A is [tex]r_A[/tex] and the radius of circle B is [tex]r_B[/tex].

The similarity of both circles is proved using:

[tex]r_A = k * r_B[/tex]

or

[tex]r_B = k * r_A[/tex]

where k represents the scale of dilation

Hence, the radius of both circles must exist for the circles to be similar.

Read more about circle similarities at:

https://brainly.com/question/403891

Answer:

7cm

Step-by-step explanation:

Volume of a prism = base area x height

base area = area of a square = length²

784  = length² x 16

divide both sides of the equation by 16

length² = 784/16

length² = 49

find the square root of both sides

length = 7