Find the area of the given figure. Show your work!

9514 1404 393

Answer:

Step-by-step explanation:

Start by getting the x-terms on one side of the equal sign. We can do that by subtracting x from both sides.

  3 = x² +2x

Now, add the square of half the x-coefficient.

  3 +1 = x² +2x +1

  (x +1)² = 4 . . . . . . . . write as a square in the desired form

__

To solve, take the square root, and add the opposite of the left-side constant.

  x +1 = ±2

  x = -1 ±2 . . . . . . matches choice (D)

Answer:

The answer to this is option B

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

Area formula:

Substitute values and solve for w:

The width is 6 in, find the length:

width be x

Now

On solving we will get

Now

Length=2(6)=3=15in

Answer:

B

Step-by-step explanation:

f(x) - g(x)

= 2x² - 4x - 3 - (x - 4)(x + 4) ← expand using FOIL

= 2x² - 4x - 3 - (x² - 16) ← distribute by - 1

= 2x² - 4x - 3 - x² + 16 ← collect like terms

= x² - 4x + 13 → B

Answer:

top left aka the first option

The tree that shows the correct combination of one flavor of ice cream and one topping is the the first tree.

A tree diagram is a tool in the fields of general mathematics, probability, and statistics that helps calculate the number of possible outcomes of an event or problem, and to cite those potential outcomes in an organized way.

Tree diagrams, also known as probability trees or decision trees, are quite versatile and may be useful in many fields, including finance.

A tree diagram lets a user start at a single point and make mutually exclusive decisions or experience mutually exclusive events to follow a path down the branches of the tree. Using a tree diagram is simple once you assign the appropriate values to each node.

From the question, and the definition it is clear that vanilla splits into fudge and caramel and chocolate to sprinkles.

Hence A is the correct option.

To know more about tree diagram here

https://brainly.com/question/13311154

#SPJ3

Answer:

if y° and 75° are the opposite angles of rhombus, then y°=75° [ the opposite angles of rhombus are equal]

Answer:

$1.42

Step-by-step explanation:

Since, The first customer paid $12 for 14 postcards and 5 large envelopes.

That is, 14 x + 5 y = 12        ------ (1)

And, The second customer paid $24.80 for 10 postcards and 15 large envelopes.

That is, 10 x + 15 y = 24.80  -------(2)

3 × equation (1),

We get, 42 x + 15 y = 36 ---------(3)

Equation (3) - Equation (2)

32 x = 11.20

⇒ x = 11.20/32

⇒ x = 0.35

By putting the value of x in equation (1),

We get, 14 × 0.35 + 5 y = 12

⇒ 4.9 + 5 y = 12

⇒ 5 y = 7.1

⇒ y = 1.42

Thus, the cost of one postcard = $ 0.35

And, the cost of each large envelope = $ 1.42

Answer: maybe line C, i dont know

Step-by-step explanation:

Answer:

Here angle ABC = angle HGF ......( each 90° )

and other two corresponding sides are similar...

therefore, two sides and one Angle...

hence, SAS Test.

Answer:

25x

Step-by-step explanation:

6x + 9 = 25x

Answer:

6

Step-by-step explanation:

Coefficients are the numbers in terms with the variable

6 is the number with the variable (x)

Answer:

7 and 5 are congruent

Step-by-step explanation:

which pair of angles is congruent meaning which pair of angles is the same when looking at the angles given angles 5 and 7 are the same

Answer:

I think the answer would just be 2, I'm not for sure on this one

Answer:

v=6

Step-by-step explanation:

(v/3+17=19)x3

v+51=57

v=57-51

v=6

Answer:

(-1,7)

Step-by-step explanation:

Answer:

A, B, and C are labeled for each side of a right triangle.

Step-by-step explanation:

A and B are used to label the legs while C is used to label the hypotenuse(AKA the long side of a right triangle and the side opposite of the 90° angle.) The B side is the opposite side of the hypotenuse or the side C. The A is the bottom leg that is in between sides B and C.

Answer:

Part I

Part II

Part III

Part IV

Answer:

Tuvieron que comprar 3.73 kg.

Step-by-step explanation:

Para obtener la  respuesta, tienes que encontrar a cuántos kilogramos equivalen 8.3 libras de dulces y para esto puedes utilizar una regla de tres teniendo en cuenta que 1 libra es igual a 0.45 kilogramos:

    1 libra    → 0.45 kilogramos

8.3 libras   →             x

x=(8.3*0.45)/1=3.73 kg

De acuerdo a esto, la respuesta es que tuvieron que comprar 3.73 kg.

Answer:

B

Step-by-step explanation:

It shows the P moving to the right three units without flipping it.

Step-by-step explanation:

Refer to attachment.

Hope it helps :D

First solved for x, then for y [tex].[/tex]

Answer:m>1

Step-by-step explanation:

You add 3 to both sides because you minusing the 3. Then since your working with a negative you have to switch the signs

Answer:

240+360=600

there are 600 boys at the park

Step-by-step explanation:

Answer:

Hello! Answer: Theres 600 boys at the park

Step-by-step explanation:

240 + 360 = 600

Hope this helps!

Answer: x = 15.035677095729 approximately

Round this however you need to.

=================================================

Explanation:

I'm assuming you want to find the value of x, which your diagram is showing to be the length of segment QR.

If so, then we'll need to find the measure of angle Q first. Using the law of sines, we get the following:

sin(Q)/q = sin(R)/r

sin(Q)/PR = sin(R)/PQ

sin(Q)/13 = sin(85)/19

sin(Q) = 13*sin(85)/19

sin(Q) = 0.6816068987

Q = arcsin(0.6816068987) ... or ... Q = 180-arcsin(0.6816068987)

Q = 42.9693397461 ... or ... Q = 137.0306602539

These values are approximate.

----------------

Now if Q = 42.9693397461 approximately, then angle P is

P = 180-Q-R

P = 180-42.9693397461-85

P = 52.0306602539

Similarly, if Q = 137.0306602539 approximately, then,

P = 180-Q-R

P = 180-137.0306602539-85

P = -42.0306602539

A negative angle is not possible, so we'll ignore Q = 137.0306602539

----------------

The only possible value of angle P is approximately P = 52.0306602539

Let's apply the law of sines again to find side p, aka segment QR

sin(P)/p = sin(R)/r

sin(P)/QR = sin(R)/PQ

sin(52.0306602539)/x = sin(85)/19

19*sin(52.0306602539) = x*sin(85)

19*sin(52.0306602539)/sin(85) = x

x = 15.035677095729

This value is approximate.

Round this value however you need to.

Answer: [tex]v=-3[/tex]

Step-by-step explanation:

Given

The position of a particle is [tex]s(t)=-9-3t[/tex]

Velocity is given by the derivative of position with respect to time

[tex]\Rightarrow v=\dfrac{ds}{dt}\\\Rightarrow v=-3[/tex]

So, velocity is constant at any point in time.

At t=8, it is [tex]v=-3[/tex]

Answer:

B

Step-by-step explanation:

Because

A)

[tex]80.4 \div {10}^{2} = 0.8.4[/tex]

B)

[tex]80.4 \div 10^{3} = 0.0804[/tex]

C)

[tex]80.4 \div {10}^{4} = 8.04 \times {10}^{ - 3} [/tex]

D)

[tex]80.4 \times {10}^{5} = 8.04 \times {10}^{ - 4} [/tex]

Answer:

60 degrees

Step-by-step explanation:

This is a complementary angle, so the equation to use is 30+x=90.

To find out what x is, we have to use the Subtraction Property of Equality.

30+x=90

-30     -30

       x=60