What is the radius of a circle whose endpoints of a diameter are A(-4, 14) and B (2,8)​

Answer:

14units

Step-by-step explanation:

Let the vertices of a rectangle be A(3, 1), B(3, 5), C(6, 5), and D(6, 1).

Using the formula for calculating distance between two points;

AB =√(5-1)²+(3-3)²

AB = √4²

AB = 4

BC = √(5-5)²+(6-3)²

BC = √3²

BC =>3

CD = √(1-5)²+(6-6)²

CD = √(-4)²

CD = √16

CD = 4

AD= √(1-1)²+(6-3)²

AD = √3²

AD = √9

AD =3

Perimeter of the rectangle = AB+BC+BD+AD

Perimeter of the rectangle = 4+3+4+3

Perimeter of the rectangle = 14units

Answer:

7.7 pallets of sod.

Step-by-step explanation:

A parallelogram-shaped field in a park needs sod. The parallelogram has a base of 27.5 meters and a height of 14 meters. The sod is sold in pallets of 50 square meters. How many pallets of sod are needed to fill the field?

Step 1

We find the area of a parallelogram

The formula is given as:

Base × Height

Hence:

The area is calculated as:

27.5 meters × 14 meters

= 385 square meters

Step 2

The sod is sold in pallets of 50 square meters. How many pallets of sod are needed to fill the field?

This is calculated as:

50 square meters = 1 pallet of sod

385 square meters = x

Cross Multiply

50 square meters × x = 385 square meters × 1 pallet

x = 385 square meters × 1 pallet/50 square meters

x = 7.7 pallets of sod.

Therefore, 7.7 pallets of sod are needed to fill the field.

Answer: 5.5

When you subtract 5.5 from 5.5 you get 0

Given:

The equation of a circle is:

[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]

To find:

The center of the circle and its radius.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]          ...(i)

Where, (h,k) is center and r is the radius of the circle.

The given equation of the circle is:

[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]

Write the given equation in standard form of a circle.

[tex](x^2-x)+(y^2-2y)-\dfrac{11}{4}=0[/tex]

[tex]\left(x^2-x+\left(\dfrac{1}{2}\right)^2\right)+(y^2-2y+1^2)-\dfrac{11}{4}-\left(\dfrac{1}{2}\right)^2+1^2=0[/tex]

[tex]\left(x-\dfrac{1}{2}\right)^2+(y-1)^2-\dfrac{11}{4}-\dfrac{1}{4}-1=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2-\dfrac{12}{4}-1=0[/tex]

On further simplification, we get

[tex]\left(x-0.5\right)^2+(y-1)^2-3-1=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2-4=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2=4[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2=2^2[/tex]            ...(ii)

On comparing (i) and (ii), we get

[tex]h=0.5,k=1,r=2[/tex]

Therefore, the center of the circle is (0.5,1) and radius is 2 units.

Answer:

[tex]60 {?}^{2} \\ 40 \times 25 = 1000 \\ 60 \times 3 = 180 \\ 4 \times 1000 = 4000 \\ 4000 > 180 \\ = 180[/tex]

find the area of the 2 feilds and multiply by their round. pick the smaller answer

Answer:

155

Step-by-step explanation:

Answer:

155⁰

Step-by-step explanation:

You can see that the figure above is a vertical angle. This means that :-

<a is congruent to <c

<b is congruent to <d

Since <a is 155⁰ and is congruent to <c, this means that <c 8s also 155⁰.

Hope this helps and I would appreciate if you give me the brainlist or not, thank you :) !!

Answer:

I need the answers on the question to answer this. Once you edit I will give you an actual answer.

Step-by-step explanation:

Answer:

30/40 and 12/16 are equivalent fractions.

Answer:

slope is 0

Step-by-step explanation:

The slope of any horizontal line is zero, 0.

Answer:

c=3

Step-by-step explanation:

Answer:

a :)

Step-by-step explanation:

Answer:

step 2

Step-by-step explanation:

instead of subtracting 7 to the oposite side they set it aside to then later on add it towards the end.

Step-by-step explanation:

Given

[tex] \frac{1 - sinx}{cosx} + \frac{cosx}{1 - sinx} \\ = \frac{(1 - sinx)^{2} + cos^{2}x }{cosx(1 - sinx)} \\ = \frac{1 - 2sinx + sin ^{2}x + cos {}^{2}x}{cosx(1 - sinx)} \\ = \frac{2 - 2sinx}{cosx(1 - sinx)} \\ = \frac{2(1 - sinx)}{cosx(1 - sinx)} \\ = \frac{2}{cosx} \\ = 2secx[/tex]

Hope it will help :)❤

Answer:

$9,151.38

Hopefully that is correct!!

Answer:

the area of the semicircle is

76.93m

Answer:

0.87

Step-by-step explanation:

y = ab^x

b is the rate of decay if it is between 0 and 1. Here, b = 0.87.

Answer: 0.87

Answer:

It would be: a=-4b^3/3 + 50/3

Step-by-step explanation:

To evaluate: Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

i think is is 64a

Step-by-step explanation:

Answer:

[tex](8 - 3a)(8 - 3a) \\ 8(8 - 3a) - 3a(8 - 3a) \\ 64 - 24a - 24a + 6a {}^{2} \\ 64 - 48a + 6a {}^{2} \\ 6a {}^{2} - 48a + 64[/tex]

Answer: 71

Step-by-step explanation: A triangle adds up to 180 so you subtract 28 and 81 from 180 to get your answer

Step-by-step explanation:

e. >

f. <

g. =

h. >

i. =

j. <

.....

Answer:

e. >

f. <

g. =

h. >

i. =

j. <

Answer:

y = -3x + 2

Step-by-step explanation:

y = mx + b is slope-intercept form, so you must find m and b

m = -3 since that is the slope

b = ? so use y=mx + b and substitute what you know

-4 = -3 (2) + b so -4 = -6 + b so solve for b since  2 = b

Answer:

E, 297.1

Step-by-step explanation:

First, find the area of the triangle using the formula a= (bh) / 2

Base x height would be 16 x 12, which is 192

192 / 2 is 96 sq meters

Then, find the area of the circle using the formula a= Pi (r^2)

If the diameter is 16, the radius would be 8 because you divide by 2

8^2 is 64, 64 times Pi is approximately 201.1

Finally, add the areas together, 96 + 201.1 is 297.1 or E

Answer:

C. y = -2^x

Step-by-step explanation:

I put it in Desmos graphing calculator.

desmos. com/calculator

Answer:

40%

Step-by-step explanation:

If there are 1200 students in the school and 720 of them are boys that means 480 of them are girls.

I like to do cross multiply and divide so the equation for that would be  480/120 = ?/100

if you cross and multiply 480 by 100 you will get 48000 then if you divide that by 1200 you will get 40 as your missing value.

Im basically just saying 480/1200 = 40%

If you need further help there are plenty of you tube videos on how to cross  multiply and divide

Hope this helps

- Please mark brainliest :)

Answer:

9[tex]y^{5}[/tex][tex]w^{2}[/tex]

Step-by-step explanation:

Find what both expressions have in common

Answer:

y=1/3x-6

Step-by-step explanation:

Answer:

8+4

Step-by-step explanation:

Hope this is helpful ! have an amazing day... God Bless you :)

Answer:

8x + 4

Step-by-step explanation:

To answer, we have to make sure to hand out the 4 evenly so that each number or variable within the parentheses gets multiplied by 4:

4(2x + 1) = 8x + 4

As you can see, we multiplied each number inside by the number outside, and we got 8x + 4 as our answer.

Hope this helps :)

Answer:

30f+25 I hope it is a right answers

I hope this answers is useful for you