find the equation of the circle whose center and radius are given center (7,3) radius =7

Answers

Answer 1

Answer:

[tex](x-7)^2+(y-3)^2=7^2[/tex]

Step-by-step explanation:

[tex](x-h)^{2}+(y-k)^{2}=r^{2}\\[/tex]

Thus,

[tex](x-7)^2+(y-3)^2=7^2[/tex]


Related Questions

Math is dumb and i can't do it

Answers

Answer:

B

Step-by-step explanation:

its a graph and I agree math is dumb

Answer:

agreed

Step-by-step explanation:


Write the equations after translating the graph of y = |x|:
one unit up,

Answers

Answer:

y = | x | + 1

Step-by-step explanation:

Given y then y + c represents a vertical translation of y

•  If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the shift is 1 unit up, thus

y = | x | + 1

sinxcosy=1/2(sin(x+y)+cos(x-y))
True or False?

Thanks for the help!

Answers

Answer:

False

Step-by-step explanation:

To be able to answer this, we will need to make a reference to the sum and product formula.

What we have in the question is the product and we want to see if the sum correlates.

Using the sum formula, we have the value on the right hand side as;

(1/2)[sin(x+y)+sin(x-y)]

Seeing that the expression we have here is not equal to that which was given, we can conclude that the answer is false

Mike can drive his car 66km on petrol worth Rs.384. How much money does he need to reach his hometown from Delhi by car distance between his hometown from Delhi=6006km

Answers

Answer:

Rs.34,944

Step-by-step explanation:

(6006 km)/(66 km) = 91

The distance from his hometown to Delhi is 91 times 66 km.

He will need 91 times the amount of petrol.

91 * Rs.384 = Rs.34,944

Which shows how to solve the equation Three-fourths x = negative 6 for x in one step?

Answers

Answer:

x = -8

Step-by-step explanation:

Let's put this into numbers: [tex]\frac{3}{4}[/tex]x =-6

The first thing you want to do is to multiply both sides by 4:

3x=-24

Next you need to divide by 3:

x=-8

The answer is -8

Answer:

-8

Step-by-step explanation:

Let's put this into numbers: x =-6

The first thing you want to do is to multiply both sides by 4:

3x=-24

Next you need to divide by 3:

x=-8

The answer is -8

David scored points less than six times the number of points Rich scored in a video game. If represents the number of points scored by Rich, write an expression representing the number of points scored by David.

Answers

Answer:

David scored : 24 < 6x = 0

Step-by-step explanation:

From the information given;

David  scored ??? points less than six times the number of points Rich scored in a video game.

If  ???   represents the number of points scored by Rich

The objective is to write an expression representing the number of points scored by David.

since the value of David points and Rich letter representing the number of points scored by RIch  are not given,  Let's based our calculation on assumptions, the main thing is to understand the the process in solving the question.

Assumption:

Let assume that,

David scored 24 points and x should be the number of points scored by Rich

Then; the linear equation representing David score is:

David scored : 24 < 6x = 0

y=4/3x-3 4x-6y=10 system of equations using substitution

Answers

Answer:

Point form (2, -1/3   Equation form: x=2, y= -1/3

Step-by-step explanation:

Combine 4/3 and x

Replace all occurrences of y in 4x−6y=10 with 4x/3 -3

Simplify 4x− 6 (4x/3 -3)

Solve for x in the second equation.

Simplify  

4(2) /3−3

Please answer question

Answers

Answer:

346.4 cm^2

Step-by-step explanation:

area = base * height/2

We can use UW as the base.

U + V + W = 180

24 + V + 36 = 180

V = 120

[tex] \dfrac{\sin W}{UV} = \dfrac{\sin V}{UW} [/tex]

[tex] \dfrac{\sin 36^\circ}{34} = \dfrac{\sin 120^\circ}{UW} [/tex]

[tex] UW = \dfrac{34\sin 120^\circ}{\sin 36^\circ} [/tex]

[tex] UW = 50.1 [/tex]

Now drop a perpendicular from V to UW to be the height, h.

[tex]\sin 24^\circ = \dfrac{h}{UV}[/tex]

[tex] \sin 24^\circ = \dfrac{h}{34} [/tex]

[tex] h = 34 \sin 24^\circ [/tex]

[tex] h = 13.8 [/tex]

area = base * height/2

area = UW * h/2

area = 50.1 cm * 13.8 cm/2

area = 346.4 cm^2

Helpppppppppp pleasessssss

Answers

Answer:

A.

Step-by-step explanation:

When it says (x + 7), that means the graph will be shifting to the right (so parallel to the x-axis.

The correct answer is D

figure out if the equation is inverse or direct

Answers

Answer:

A. Inverse variation

B. Direct variation

C. Direct variation

D. Inverse variation

Hope this helps you

Which of the following is(are) the solution(s) to |x+3| = 12?
A. X= 15
B. X = 9.-15
C. X = 15,-9
O D. x = 9

Answers

Answer:

            B.   x = 9 or -15

Step-by-step explanation:

         |x+3| = 12    

x+3 = 12   or   x+3 = -12

x = 9        or    x = -15

Which of the binomials below is a factor of this trinomial? X^2+2x-63

Answers

Answer:

x+9

Step-by-step explanation:

If we use syntetic division we get that

[tex]x^2+2x-63=(x+9)(x-7)[/tex]

Answer:

(x+9)(x-7)

Step-by-step explanation:

For this trinomial, we will factor the constant at the end into 7 and 9.  From here we will break down the trinomial into a binomial form.

(x + or - #) ( x + or - #)

We know that our middle value is positive so we want the larger factor to be positive, and we know our constant is negative, so we want the smaller value to also be negative, so that when multiplied together we still get back the original trinomial.

(x + 9) (x - 7) = x^2 + 9x - 7x - 63 = x^2 + 2x - 63

Cheers.

Lucy is tiling her bathroom. She buys white and blue tiles in the ratio 13:2.Blue tiles cost £2.80 while white tiles cost £2.35.If she buys 16 blue tiles how much does Lucy spend on tiles in total?

Answers

Answer:

* Lucy spent £289.2 on tiles *

Step-by-step explanation:

We know that the tiles are present in a 13 to 2 ratio ( 13 : 2 ) so if there are 16 blue tiles that she buys, the number of red tiles bought should be represented the following -

[tex]\frac{13}{2}[/tex] = [tex]\frac{x}{16}[/tex] ... now this is only assuming that the 13 : 2 ratio is meant by white : blue tiles. Let's solve through cross - multiplication,

13 [tex]*[/tex] 16 = 2[tex]x[/tex],

208 = 2[tex]x[/tex],

[tex]x[/tex] = 104 white tiles

So if there are 104 white tiles, and 16 blue tiles, we can determine the total amount Lucy spent on tiles by associating the cost to the type of tile,

£2.80 [tex]*[/tex] 16 = £44.8,

£2.35 [tex]*[/tex] 104 = £244.4,

Total Amount Lucy Spent on Tiles = £44.8 + £244.4 = £289.2

Lucy spent £289.2 on tiles

The calculation is as follows;

[tex]\frac{13}{2} = \frac{x}{16}\\\\ 13\times 16 = 2x\\\\ 2 x = 208[/tex]

x = 104 while tiles

Now the total amount should be

[tex] 2.80 \times 16 = 44.8\\ And, \\ 2.35 \times 104 = 244.4[/tex]

So,

= 44.8 + 244.40

= 289.2

Learn more: https://brainly.com/question/10283285?referrer=searchResults

The solutions of the equations -x² + 4x +3 = 0 are


A. (x = -3) and (x = -1)
B. (x = 1) and (x = 3)
C. (x = -2 -√7) and (x = -2 + √7)
D. (x = 2 -√7) and (x = 2 + √7)

can someone explain this pls​

Answers

Answer:

D. x = 2 − √7 and x = 2 + √7

Step-by-step explanation:

-x² + 4x + 3 = 0

Multiply both sides by -1.

x² − 4x − 3 = 0

Factor using quadratic formula.

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-4) ± √((-4)² − 4(1)(-3)) ] / 2(1)

x = (4 ± √28) / 2

x = (4 ± 2√7) / 2

x = 2 ± √7

x = 2 − √7, 2 + √7

circumference of a circle is 18Pi inches. What is the area of the circle?

Answers

Answer:

81pi or 254.34 inches square

Step-by-step explanation:

18pi = 2pi*r

pi*r = 9pi

r = 9

pi*(9)^2 = 81pi = 254.34 inches square

Answer: 81 pi inches, or around 254.34 inches.

Step-by-step explanation:

Since the formula for circumference of a circle is 2piR (where R would be the radius), we know that the radius of this circle is 9. From that, we simply need to plug it into the formula for area of a circle: piRsquared. 9 squared is 81, and pi is around 3.14.

Hope this helped.

please helppppppp !!!

Answers

Answer:

64

Step-by-step explanation:

Supplementary angles add up to 180. Since you are given one, just subtract 116 from 180 to get 180 - 116 = 64.

The answer to this question is 64

A ladder leaning against a wall makes a 35° angle with the ground. The foot of the ladder is 5 meters from the wall. What is the length of ladder? (to the nearest tenth)

Answers

Answer:

L = length of the ladder;

K = distance between wall and the foot of the ladder;  

a = angle between ladder and the ground

cos(a) = K/L,

L=K/cos(a),

L=K/cos(35°),

L=5/cos(35°),

L=6.1 m

Answer: 6.1

Step-by-step explanation:

PQRS is a parallelogram. Find the values of a and b. Solve for the value of c, if
c= a + b.

Answers

Answer:

B

Step-by-step explanation:

The opposite sides of a parallelogram are parallel and congruent, thus

SR = PQ , that is

8a - 4 = 6a + 10 ( subtract 6a from both sides )

2a - 4 = 10 ( add 4 to both sides )

2a = 14 ( divide both sides by 2 )

a = 7

In a parallelogram consecutive angles are supplementary, thus

∠ P + ∠ Q = 180, that is

18b - 11 + 9b + 2 = 180, that is

27b - 9 = 180 ( add 9 to both sides )

27b = 189 ( divide both sides by 27 )

b = 7

Thus c = a + b = 7 + 7 = 14 → B

A triangle has side lengths of 13, 9, and 5. Is the triangle a right triangle? Explain.

2Points
Use complete sentences in your explanation.

Hint: Pythagorean Theorem: a^2+ b^2 = c^2

Answers

Answer: This triangle is not a right triangle

Step-by-step explanation:

In a right triangle, the hypotenuse(c) is always the longest side and a and b are the shorter sides.  Thus, 5^2+9^2=13^2.  Simplify this to get 25+81=169, then 106=169.  Because 106 does not equal 169, it is not a right triangle.

Hope it helps <3

Starting at home, Luis traveled uphill to the gift store for 50minutes at just 6 mph. He then traveled back home along the same path downhill at a speed of 12mph.

Answers

Answer:

Average speed for the entire trip, both ways, is

                (Total distance) divided by (total time) .

We don't know the distance from his house to the gift store,

and we don't know how long it took him to get back.

We'll need to calculate these.

-- On the trip TO the store, it took him 50 minutes, at 6 mph.

-- 50 minutes is 5/6 of an hour.

-- Traveling at 6 mph for 5/6 of an hour, he covered 5 miles.

-- The gift store is 5 miles from his house.

-- The total trip both ways was 10 miles.

-- On the way BACK home from the store, he moved at 12 mph.

-- Going 5 miles at 12 mph, it takes  (5/12 hour) = 25 minutes.

Now we have everything we need.

Distance:

        Going:       5 miles

        Returning:  5 miles

        Total         10 miles

Time:

        Going:        50 minutes

        Returning:   25 minutes

        Total:          75 minutes  =  1.25 hours  

        Average speed for the whole trip =

                      (total distance) / (total time)

                  =      (10 miles)  /  (1.25 hours)

                  =       (10 / 1.25)  miles/hours

                  =          8 miles per hour

Step-by-step explanation:

Find the cube root of 10648

Answers

Here is your answer!!!

Cube root of 10648 is 22.

Answer:

22

Step-by-step explanation:

[tex]\sqrt[3]{10648}[/tex] factors into [tex]\sqrt[3]{22^{3} }[/tex]

You then apply the radical rule: [tex]\sqrt[n]{a^{n} }[/tex]=a

In in this case a = 22

Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7. m∠3 is (3x + 4)° and m∠5 is (2x + 11)°. Angles 3 and 5 are . The equation can be used to solve for x. m∠5 = °

Answers

Answer:

77 degrees

Step-by-step explanation:

The diagram is drawn and attached below.

m∠3= (3x + 4)°

m∠5 = (2x + 11)°

Angles 3 and 5 are co-interior angles and are therefore supplementary (add up to 180 degrees).

(3x + 4)°+(2x + 11)°=180°

5x+15=180

5x=180-15

5x=165

x=33

Therefore, the measure of angle 5

m∠5 = (2x + 11)°

= (2(33) + 11)°

=66+11

=77°

The measure of angle 5 is 77 degrees.

If a circle has a diameter with endpoints of (-3, 0) and (5, 4), then the equation of the circle is?

Answers

First find we find the distance between the two points. Using the distance formula we get about 9. Now we know the radius is about 4.5. Next we need to the center. This is found by taking the mid point of the two given end points. We do this by averaging the x values for the x origin and the same for the y values. This gives us (1,2). Now put this into the formula.
THE ANSWER IS (x-1)^2+(y-2)^2=20.25

BC=6, EF=12
Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT
A: AA
B: SAS
C: SSS
D: NOT

Answers

Answer:

C: SSS

Step-by-step explanation:

Two triangle are said to be similar if they have the same shape and proportion. This means that their angles are the same or their sides are in proportion. They are similar if:

i) All three corresponding angles are the same (AAA)

ii) All three corresponding sides are the same proportion (SSS)

iii) Two corresponding angles are equal and a side is in the same proportion (ASA)

iv) Two sides are in the same proportion and a corresponding angles are the same (SAS)

Given that:

AB = 12, BC = 6, AC = 3, DE = 24, EF = 12 and DF = 6

[tex]\frac{DE}{AB} =\frac{DF}{AC} =\frac{EF}{BC}\\\\\frac{24}{12}=\frac{6}{3}=\frac{12}{6}=2[/tex]

Since All the sides are in the same proportion, it supports the SSS rule.

Answer: SSS

I have done this assignment before

What is the value of this expression when t = -12? -3|t − 8| + 1.5

Answers

Answer:

-59.5

Step-by-step explanation:

We are given the expression

-3|t − 8| + 1.5

t = -12

Subtituting -12 for t in the expression, we have:

-3|-12 - 8| + 1.5

-3|-20| + 1.5

Note : |-20| = 20

-3 × 20 + 1.5

= -60 + 1.5

= -59.5

The value of the expression = -59.5

Plz help me.. thanks if you do

Answers

Answer: the answer is C.

Step-by-step explanation: 5 is lesser than or equal to meaning its a open sign. and 2 is the opposite.

Answer:

The answer is C!

Step-by-step explanation:

Hope you have a great day :D

(Brainliest?)

Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table: Color of Tile Number of times the tile is drawn
i
6 purple, 18 pink, 26 orange
i
What is the experimental probability that Jenny will pull out a purple tile?

Answers

Answer:

6/50

Step-by-step explanation:

Jenny pulled out 6 purple tiles out of the 50 trials

Answer: The experimental probability of Jenna pulling a purple tile is 6/50.

Step-by-step explanation:

In her experiment, Jenna pulled out 6 purple tiles out of the 50 total tiles she pulled. This would make the experimental probability of her pulling out a purple tiles 6/50.

a map has a scale of 1cm:11.5km.two cities are 5.5cm apart on the map.to the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?

Answers

Answer:

The actual distance between the two places to the nearest tenth of a kilometer is 63.3 km

Step-by-step explanation:

Here, we want to get the actual distance between two places on a map, given the scale used to draw the map and the distance of both places on the map, in terms of the scale.

The scale used here is 1cm to 11.5km

Since 1cm = 11.5km

then 5.5cm = x km

Thus ; x = 5.5 * 11.5

x = 63.25 km

Our answer in wanted to the nearest tenth of a kilometer so the answer is 63.3 km

Please solve i will give brainiest 100 point question ****** do the whole page please need to pass or i will fail its my final test

Answers

Answer:

1. Find the difference between the areas.

Area of the small rectangle: [tex](x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14[/tex]

Area of the big rectangle: [tex](x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99[/tex]

The difference is: [tex]11x+85[/tex]

[tex]( x^2+20x+99)- (x^2+9x+14)=x^2+20x+99-x^2-9x-14=11x+85[/tex]

2.

You can solve this question just by looking at the graph.

a) The height is 4 meters.

[tex]f(d)=h=-2d^2+7d+4[/tex]

To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.

[tex]f(0)=h=-2(0)^2+7(0)+4[/tex]

[tex]h=4[/tex]

The height is 4 meters.

b) 9 meters.

For [tex]d=1[/tex]

[tex]f(1)=h=-2(1)^2+7(1)+4[/tex]

[tex]f(1)=h=-2+7+4[/tex]

[tex]h=9[/tex]

b) The ball travels 4 meters.

But to calculate it, it is when [tex]h=0[/tex]

[tex]0=-2d^2+7d+4[/tex]

Using the quadratic formula:

[tex]$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$d=\frac{-7 \pm \sqrt{7^2-4\left(-2\right)4}}{2\left(-2\right)}$[/tex]

[tex]$d=\frac{-7\pm\sqrt{81}}{-4}$[/tex]

[tex]$d=\frac{-7\pm9}{-4}$[/tex]

It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.

[tex]$d=-\frac{1}{2} \text{ or }d=4$[/tex]

3.

In this question, we have to find the area of the cylinder and the sphere.

From the information given, we have

a = 5mm and d = 5mm, therefore the radius is 2.5 mm.

The volume of a cylinder:

[tex]V=\pi r^2h[/tex]

[tex]V=\pi (2.5)^2 \cdot 5[/tex]

[tex]V=31.25 \pi[/tex]

[tex]V_{c} \approx 98.17 \text{ m}^3[/tex]

The volume of the sphere:

[tex]$V=\frac{4}{3} \pi r^2$[/tex]

[tex]V_{s} \approx 65.4 \text{ m}^3[/tex]

The volume of the capsule is approximately [tex]163.57 \text{ m}^3[/tex]

HELP HELP HELP,The length of the one of the legs of a right triangle is 8m and the hypotenuse is 12m. Which of the following choices is the length of the other leg? 5 4 5 None of these choices are correct.

Answers

Answer:

4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

the third leg is of the length 4[tex]\sqrt{5}[/tex]

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