If the frame has a uniform width of x, which equation represents the area of wall space needed to hang the photo with the frame?

Answer:

0.5

Step-by-step explanation:

AB and AC are tangents from point A to the circle with center P at points B and C respectively.

Measures of the tangents drawn from external points to a circle are equal.

Therefore,

11y = 3y + 4

11y - 3y = 4

8y = 4

y = 4/8

y = 0.5

Given:

Radius of a circle = 2.1 units

Arc length = 21.2 units

To find:

The central angle in radians to the nearest 10th.

Solution:

We know that the intercepted arc length is

[tex]s=r\theta[/tex]

Where, s is the arc length, r is the radius and [tex]\theta[/tex] is the central angle in radians.

Putting the given values, we get

[tex]21.2=2.1\theta[/tex]

[tex]\dfrac{21.2}{2.1}=\theta[/tex]

[tex]10.095238=\theta[/tex]

[tex]\theta\approx 10.1[/tex]

Therefore, the angle in radians is 10.1.

Answer:

The correct answer is C.  As x approaches ±∞, p(x) approaches -∞

Step-by-step explanation:

The easiest way to see this is to consider the term with the largest power of x.  In this case that's the first term -5x⁶.  Because the exponent is an even number, the function will ultimately move in the same direction as x approaches infinity.  If the exponent was odd, like -5x⁷, then they'd be moving in opposite directions.

The next thing to consider is the coefficient.  If the coefficient is positive, then the left side of the curve goes downward, and the right side goes either downward or upward depending on the exponent.  If the coefficient is negative, then the left side goes upward, and the right side goes upward or downward depending on the coefficient.

In this case, we have a negative coefficient, so the left side goes downward, and an even power, so the right side goes the same way as the left side.

The correct answer is C.  As x approaches +∞, function p(x) approaches -∞and vice versa.

Polynomial is a combination of algebraic terms may be in addition, subtraction, multiplication, division.

In the case  the first term is -5x⁶.  Because the exponent is an even number, the function will move in the same direction as x approaches infinity.  If the exponent was odd, like -5x⁷, then they would  be moving in opposite directions.

The next thing to consider is the coefficient.  If the coefficient is positive, then the left side of the curve goes downward, and the right side shifts downward or upward and vice versa.

In our case case, we have a negative coefficient, so the left side goes downward, and an even power, so the right side goes the same way as the left side.

Learn more about polynomial at https://brainly.com/question/2833285

#SPJ2

Answer:

2n+2

Step-by-step explanation:

Answer:

X would be 18x

Step-by-step explanation:

Step-by-step explanation:

=> the correct equation for the given value is

=>. y = 5x + 4

hope it helps and your day will be full of happiness

Answer:

the bottom one 42.061

upper one 49/2pi = 76.969

Step-by-step explanation:

the bottom one

14^2 - 49pi = 42.061

upper one, put the shaded parts together and that forms a semicircle

49/2pi = 76.969

Answer:

324 square meters

Step-by-step explanation:

Step-by-step explanation:

[tex]\tt{}6.72 \times 104[/tex]

[tex]\tt{}698.88[/tex]

Answer:

All the four vertices of a quadrilateral inscribed in a circle lie on the circumference of the circle. The measure of an exterior angle is equal to the measure of the opposite interior angle.

Step-by-step explanation:

Answer:

3π/2 is halfway between π and 2π.

Step-by-step explanation:

3π/2 is halfway between π and 2π.

Answer:

3π/2 is halfway between π and 2π

Hope this helps u

Answer:

im pretty sure it'd be 76 weeks!

Step-by-step explanation:

one water tank holds 1216 and loses 5 gallons/week

another water tank holds 1520 gallons and loses 9 gallons/week

youd make an equation:

1216-5x=1520-9x

(each side being the amount of water the tank can hold minus the amount it loses per week [x])

heres how you execute the equation:

1216-5x=1520-9x

-5x=1520-1216-9x

-5x=304-9x

-5x+9x=304

4x=304

x=304/4

76

after you do the equation, you get x=76, meaning 76 weeks! :-)

Answer:

20

Step-by-step explanation:

A=a+b

2h=6+2

2·5=20

Answer:

16.4

Step-by-step explanation:

Separate it into a triangle and a rectangle.

The rectangle will be 2, 5 and the triangle will be 4, 5, and x with a right angle.

The area of the rectangle section is 10, and the area of the triangle is 6.4.

6.4 + 10 = 16.4.

Answer:

x = -4/3

Step-by-step explanation:

Mark me as brainliest now

Answer:

i think is D

Step-by-step explanation:

just think

Answer:

m > 30

Step-by-step explanation:

Is that what you were looking for? :)

Answer:

9

Step-by-step explanation:

get rid of the brackets

x-3=6

then add 3 to both sides

x=6+3

now add

x=9

your answer your looking for is

9

I hope this helps!!!

Have a good day!!

Answer:

Objective: Solve distance problems by creating and solving a linear ... To find the total distance we would multiply rate times time or (30)(4) = 120. ... We only know they both start and end at the same ... Bob and Fred start from the same point and walk in opposite directions. ... Mike leaves his house traveling 2 miles per hour.

Step-by-step explanation:

Answer:

5p + 2(p-2)

simplified to: 7p-4

Step-by-step explanation:

Q. states that shop opens for p hours on weekdays

this means that to find the total number of hours on weekdays it would be 5 times p, thus 5p

On weekends, "shop opens 2 hours less" , which means 2 hours less than p.

Thus hours for both saturday and sunday

2(p-2)

Total would be adding those two together

5p + 2(p-2)

expand 2(p-2)  = 2p-4

thus, 7p-4

Answer:

Option A and C

Step-by-step explanation:

Explanation for why I choose option A :-

If you look at the triangle, HK has a midpoint of point L, HJ has a midpoint of point M, and KJ has a midpoint of point N. Now if you stretch the lines inside of the triangle, they intersect at point P which is known as the circumcenter of HJK, true.

Explanation for why I choose option C :-

Now let us look at the lines stretch inside of the triangle. There are three lines which are congruent. Those lines are PK, HP, and PJ (they are the big lines inside the triangle) are congruent. Since those three line intersect at point P, it make the statement true that P is the circumcenter of HJK.

We do not know the third line (PN) measurements to find that if the three lines (PL, PM, and PN) are congruent and equal 90⁰. Since we do not know, it would not prove that they are congruent and P is the circumcenter of HJK.

Well it says that triangle HJK is an acute triangle which is true, but this doesn't prove that P is the circumcenter of HJK.

I hope this helps, thank you :) !!

The required conditions are L, M, N are the midpoints of [tex]\overline{HK}, \overline{HJ}, \overline{KJ}[/tex] and [tex]\overline{PK}\cong \overline{HP}\cong \overline{PJ}[/tex]. So, options A and C are correct.

Given:

The given figure of a triangle HJK.

To find:

The conditions that would be enough to prove that P is the circumcenter of HJK.

Explanation:

The circumcenter of a triangle is the intersection of perpendicular bisectors and it is equidistant from each vertex of the triangle.

P is the circumcenter of triangle HJK if PL, PM, PN are perpendicular bisectors and P is equidistant from vertices H, J, K.

PL, PM, PN are perpendicular bisectors if L, M, N are the midpoints of [tex]\overline{HK}, \overline{HJ}, \overline{KJ}[/tex].

P is equidistant from vertices H, J, K if [tex]\overline{PK}\cong \overline{HP}\cong \overline{PJ}[/tex].

The required conditions are L, M, N are the midpoints of [tex]\overline{HK}, \overline{HJ}, \overline{KJ}[/tex] and [tex]\overline{PK}\cong \overline{HP}\cong \overline{PJ}[/tex]. So, options A and C are correct, and other two options are incorrect.

Learn more:

https://brainly.com/question/10508382

Answer:

4

kind of confusing question

Answer:

x=1045/13

let x be the unknown side

here 13,19 & 55,x are in proportion

13:19=55:x

13/19=55/x

13x=55×19

x=1045/13

Step-by-step explanation:

Since you are solving for two numbers that multiply into 56 and since we know they are both integers then they have to be an integral multiple of 56 which are 1,2,4,7,8,14,28, and 56. There are also negative values for every single value listed.

I will restate the example products

so 1 would be paired with 56 to get a product of 56

and -1 with -56 would be a product of 56

2 with 28 to get 56

-2 with -28 to 56

4 with 14 to get 56

-4 with -14 to get 56

7 with 8 to get 56

-7 with -8 to get 56

Hope this helps :)