Select the correct answer. which expression is in its simplest form?

Answer:

1) A

2) D

Step-by-step explanation:

1) The equation of a circle is (x-h)²+(y-k)²=r² where (h,k) is the center and "r" is the radius of the circle. With a center of (a,-b) the equation of the circle is (x-a)²+(y+b)²=r² making A the correct answer.

2) Convert from general form into standard form:

Given: x²+y²-4x-2y+4=1

Rearrange: x²-4x+4+y²-2y=1

Set right side equal to 0: x²-4x+4+y²-2y-1=0

Complete the square: x²-4x+4+y²-2y-1+2=0+2

Evaluate: x²-4x+4+y²-2y+1=2

Condense: (x-2)²+(y-1)²=2

Therefore, the center of the circle is D) (2,1)

Answer:

c. 172 in^2

I did this!

The surface area of the solid is 176 in².

Surface area is the amount of space covering the outside of a three-dimensional shape.

Given that a solid figure made by joining two cuboids, we need to find the total surface area of the solid,

So, we will find the TSA of lower and upper cuboids and then minus the base area of the upper cuboid as it is a overlapping,

Also, the formula used for TSA of a cuboid = 2(LH + WH + LW)

L = length, W = width and H = height,

So,

TSA = 2(7·3 + 3·5 + 5·7) + 2(4·3 + 3·1 + 4·1) - 1·4

= 2(21 + 15 + 35) + 2(12 + 3 + 4) - 4

= 2 × 71 + 2 × 19 - 4

= 142 + 38 - 4

= 142 + 34

= 176 in²

Hence the surface area of the solid is 176 in².

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Answer: [tex]\sqrt{85}[/tex] or 9.2

Step-by-step explanation:

Answer:

15 cm³

Step-by-step explanation:

1/3(45) = 15

Answer:

I think it is C 15.87%                      

Step-by-step explanation:

Answer:

53°

Step-by-step explanation:

Let m∠BCA = 'x'

Because it states that quadrilateral ABCD is a rectangle (sorry, forgot to say that in my image), that means that angles ∠ABC, ∠BCD, ∠CDA and ∠DAB are all right angles. That also means that all those angles are 90°.

Since ∠ACD is a portion of ∠BCD, (37° is a portion of 90°), and we're looking for the complement of ∠ACD, all we have to do is subtract 37° from 90°.

90 - 37 = 53

Hence, the answer is 53°

Answer:

y=3x+2

Step-by-step explanation:

slope intercept form

y=mx+b

y=y coordinate

m=slope

x=x coordinate

b= y-intercept

9514 1404 393

Answer:

  y = 30°

Step-by-step explanation:

Angles x and y are "vertical" angles, so are congruent.

  x = y = 30°

Answer:

[tex]24[/tex]

Step-by-step explanation:

[tex]20%[/tex] of [tex]120[/tex][tex]=24[/tex]

Answer:

E

Step-by-step explanation:

Answer:

It's E l did that before

Answer:

Step-by-step explanation:

Answer:

314.16

Step-by-step explanation:

4πr^2

4π(25)

100π

= 314.16

Answer:

M< D = 105⁰

Step-by-step explanation:

the sum of the opposite angles of a cyclic quadrilateral is 180⁰

hence, <ADC + <ABC = 180⁰

<ADC + 75⁰ = 180⁰

<ADC = 180⁰ - 75⁰

< ADC= 105⁰

Answer:

c

Step-by-step explanation:

Number of students = number of students that went to the museum / percentage of students that went to the museum

90 / 0.45 = 200 students

Answer:

24°

Step-by-step explanation:

Supplementary angles: angles that add up to 180°

Thus, ∠A + ∠B = 180°

=> (x + 6)° + (7x + 30)° = 180°

=> 8x + 36 = 180

=> 8x = 180 - 36

=> 8x = 144

=> x = 18

∠A = (18 + 6)° = 24°

Answer:

23

Step-by-step explanation:

I think it is 23 so try this

Answer:

it's like calculating a volume in a prisim

14×6×6

504

Answer:

[tex]\boxed {\boxed {\sf 163.28 \ yards}}[/tex]

Step-by-step explanation:

The circumference of a circle is the distance around the circle, or the perimeter. It is the product of pi and the diameter.

[tex]c= \pi \times d[/tex]

The diameter is the distance from one side to the other through the center. If we look at the circle given, we see the diameter must be 52 yards.

Also, remember we are using 3.14 for pi.

Substitute these values into the formula.

[tex]c= 3.14 * 52 \ yd[/tex]

Multiply.

[tex]c=163.28 \ yd[/tex]

The circumference of the circle is 163.28 yards.

Answer:

[tex]\large\fbox{\purple{\underline{Circumference of circle is 163.28 yards}}}[/tex]

Step-by-step explanation:

In the question we have given

Diameter of circle is 52 yards

And Value of π = 3.14

We know that

Circumference of circle = π × diamter

putting the values

Circumference = 3.14 × 52 yards

by mutiplying we get,

Circumference of circle = 163.28 yards

Therefore, Circumference of circle is 163.28 yards

Answer:

[tex]Net\ Worth=11310[/tex]

Step-by-step explanation:

From the question we are told that:

Car worth [tex]C=5900\$[/tex]

Car Loan[tex]L=2800\$[/tex]

Bank account [tex]B= 1600\%[/tex]

Savings account [tex]S=5210\&[/tex]

Credit card [tex]CC=1400\%[/tex]

Generally Net worth is the value of the assets a person or corporation owns, minus the liabilities they owe.

Therefore

[tex]Net\ Worth=Asset-Liability\\\\Net\ Worth=Car worth+Bank account+Savings account +Credit card-Car Loan\\\\Net\ Worth=5900+1600+5210+1400-2800[/tex]

[tex]Net\ Worth=11310[/tex]

Answer:

6tvuyrfrd

Step-by-step explanation:

Answer:

Very weak negative correlation/trend

Step-by-step explanation:

There's a very weak negative correlation between events x and y, given that r is negative, and the fact that r is very close to 0.

Answer:

∠ U = 70°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an exterior angle of the circle , then

∠ U + 50° = 120° ( subtract 50° from both sides )

∠ U = 70°

Answer:73.6fr^3

Step-by-step explanation:

The volume of the sphere is [tex]73.57ft^3[/tex].

What is the volume of sphere?

The volume of sphere is the amount of space occupied, within the sphere. The sphere is defined as the three-dimensional round solid figure in which every point on its surface is equidistant from its centre.

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

here [tex]r[/tex] is the radius and it is [tex]r=2.6ft[/tex]

So,

[tex]V=\frac{4}{3}\pi r^3\\\\V=\frac{4}{3}(3.14)(2.6)^3\\\\V=\frac{4}{3}(3.14)(17.576)\\\\V=\frac{4(55.18)}{3}\\\\V=\frac{220.72}{3}\\\\V=73.57ft^3[/tex]

Hence, the volume of the sphere is [tex]73.57ft^3[/tex].

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8 + [tex]\frac{w}{4}[/tex] = 8 + [tex]\frac{16}{4}[/tex] = 8 + 4 = 12

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. So, I will solve a general solution, instead.

Let (x,y) be the parent function

First transformation: 4 unit right translation

The rule to this is: [tex](x,y) \to (x + b,y)[/tex]

Where b is the units of translation

i.e. [tex]b = 4[/tex]

So, we have;

[tex](x,y) \to (x + 4,y)[/tex]

Second transformation: Stretch by a factor of 5

The rule to this is: [tex](x,y) \to (x ,ay)[/tex]

Where a is the units of translation

i.e. [tex]a = 5[/tex]

So, we have;

[tex](x + 4,y) \to (x+4,5y)[/tex]

Hence, the transformation from the parent function to the new function is:

[tex](x + 4,y) \to (x+4,5y)[/tex]

Step-by-step explanation:

here's your solution

=> angle 3 and angle 8 are interior angles

we know that sum of both angle is 180°

=> angle 3 + angle 8 = 180°

=> angle 3 + 129° = 180°

=> angle 3 = 180° - 129°

=> angle 3 = 51°

now , angle 3 and angle 1 are vertical angle

hence both angle are equal

=> angle 1 = 51°

hope it helps 【€€】

Answer:

Fish with -1 foot

Step-by-step explanation:

- = under

+= above

If you set your water level to 0 then:

-1 +0 = -1 so the fish is 1 foot under the water level

-5 +0 = -5 do the fish is 5 foot under the water

And the last fish either jumped super high or it was hanging on a fishing line becouse it was 8 feet above the water level

So the fish that was the closes to the water level was the fish with -1

Answer:

y = 75°

Step-by-step explanation:

y and 105°

are on a straight line ,

a straight line is 180°

180 - 105 = 75°

y=75 °

I'm not sure about x hope you understand

Answer:

ILOVEMATH

10 = 90

11 = 35

12 = 16

13 = 200000

14 = 19

Step-by-step explanation:

Answer:

55 mph for 3.5 hours would be 192.5 miles. 60 mph for 2.5 hours would be 150 miles. The total of mile Ms. Logan went is 342.5.

Answer:

1. Solution = (4,3) and they intersect.

2. Solution = Infinite, this means that the lines overlap each other constantly.

3. Equations = x + y=73 and 2.35x + 1.34y = 141.25

PB Cookies made $101.05

Milk Bottles made $40.02

The cookies made more by $61.03 

Step-by-step explanation:

Took the test and got 100%.