Find the value of x in the figure below if RE is parallel to PM.

2.3 units
16 units
21 units
4.6 units

Answer:

[tex]y=-\frac{1}{2} x-3[/tex]

Step-by-step explanation:

Hi there!

Slope intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

The slope of a line is the same as its [tex]\frac{rise}{run}[/tex], or in other words, the number of units the line moves upwards over the number of units the line moves to the right.

In the graph, we can see that for every 2 units it moves right, it moves down 1 units. Therefore, our slope is [tex]-\frac{1}{2}[/tex]. This is negative since it is traveling downwards.

Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex] as m:

[tex]y=-\frac{1}{2} x+b[/tex]

2) Determine the y-intercept

In the graph, we can see that the line crosses the y-axis when y is equal to -3. Plug -3 into [tex]y=-\frac{1}{2} x+b[/tex] as b:

[tex]y=-\frac{1}{2} x-3[/tex]

I hope this helps!

Answer:

exponent

Step-by-step explanation:

Answer:

power or exponent it can be both, but being specific here, choose exponent

Step-by-step explanation:

i studied this concept trust me

Answer:

The formula for circumference of a circle is

2pi,R.

In which R= radius. Then we Insert 18 in for the circumstances.

so, 18=2πr

then solving for r

18=2

÷. ÷

2. 2

R = 9,,

9514 1404 393

Answer:

  angle L = 106°

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary.

  ∠L = 180° -∠N

  ∠L = 180° -74° = 106°

Answer:

y = sin(x + 90°)

Step-by-step explanation:

cos 0 = 1

Since the point (0, 1) is on the graph, this graph is y = cos x, but that is not a choice, so this must be the graph of the sine function with a horizontal translation.

sin 0 = 0

sin 90° = 1

The translation is 90°.

Answer: y = sin(x + 90°)

Answer: I believe the Big B is 169 and the perimeter is 52

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

When your losing weight after consuming more calories, you need to increase physical activity to increase the number of calories your body uses for energy.

H⁣⁣⁣⁣ere's l⁣⁣⁣ink t⁣⁣⁣o t⁣⁣⁣he a⁣⁣⁣nswer:

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

4/35

Step-by-step explanation:

Probability of 1 student having no hw is 4/7, then 3/6, then 2/5

4/7 x 3/6 x 2/5 reduces to 4/35

Answer:dwadwdwd

Step-by-step sadawdwdwadwdwexplanation:

9514 1404 393

Answer:

  2.79 years

Step-by-step explanation:

If we assume simple interest, the interest amount is computed from ...

  I = Prt

Then the length t is ...

  t = I/(Pr)

  t = 1003.80/(3000×0.12) ≈ 2.788333...

The term of the loan is about 2.79 years.

Answer:

square side = 57

hexagon side = 38

Step-by-step explanation:

x = side length of square

y = side length of hexagon

x = y + 19

4x = 6y

substitute for x:

4(y + 19) = 6y

4y + 76 = 6y

subtract 4y from each side of the equation:

2y = 76

divide both sides by 2:

y = 38

x = 57

Answer:

Hi there,

Make the side of the hexagon = x

Side of square = x + 12

Both figures have the same perimeters.

4(x + 14) = 6x

4x + 56 = 6x

Collect like terms:

6x - 4x = 56

2x = 56

x = 28

Length of hexagon side = 28 feet

Length of square side = 42 feet

Hope this helps :-)

Answer: 80

Step-by-step explanation:

Just substitute 1 for x in your expression and solve

9514 1404 393

Answer:

  a.  f(x) has a relative maximum at x = 0.

Step-by-step explanation:

Since f' is decreasing, the second derivative is negative. That means the graph is concave downward, so any critical point is a relative maximum.

  f(x) has a relative maximum at x=0 (where f'(0) = 0)

__

There is no indication that the second derivative is ever zero, so there is no point of inflection.

No values of f(x) are given, so we cannot say whether the function passes through the origin.

Answer:

it is option C

Step-by-step explanation:

download  to help your work

1/ a cube and b to the power 4

Answer:

Area= 840

Step-by-step explanation:

Area= (20x13)x2+(10x12x1/2)x2+10x20

=520+120+200

=840

The expression of 5.39 × 10⁷ metric tons in standard notation is; 53,900,000 metric tonnes

We are given the quantity of wheat produced each year as 5.39 × 10⁷ metric tons.

Now, that quantity is in exponent form and the way to express it in standard notation is to expand the exponent which gives;

5.39 × 10⁷ = 5.39 * 10 * 10 * 10 * 10 * 10 * 10 * 10

⇒ 5.39 * 10000000

⇒ 53,900,000 metric tonnes

The complete question is;

The U.S. produces 5.39 × 10⁷ metric tons of wheat each year. Express that number in standard notation

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Answer:

It's D

Step-by-step explanation:

Edge 2021

The complete step 3 in the proof is 2sin(x) {1+ cos(x)}.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given expression:

sin2(x) + 2sin(x)

This is the first step.

And the second step is given,

2sin(x)cos(x) + 2sin(x)

And to find the third step:

Simplify,

Factor out the common factor,

2sin(x) {1+ cos(x)}.

Therefore, the required step is 2sin(x) {1+ cos(x)}.

To learn more about the expression;

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Answer

A

Step-by-step explanation:

So in the diagrams we see there is 2/3 shaded into a 12  cutted square. So we multiply 4x3 to get 12. So now we have to turn the 3 into 12.

so

[tex]\frac{2}3}[/tex] x[tex]\frac{4}{4}[/tex] =[tex]\frac{8}{12}[/tex]

Since we multiplied 4 on the bottom we have to multiply 4 on the top.

sorry im not good at explaining but if you need me to re explain ill work on it. :)

Answer:

Angle YXU is equal to 113 degrees. those are supplementary angles

Step-by-step explanation:

Answer:

$28.35

Step-by-step explanation:

[tex]45\% \times 63 \\ = 0.45 \times 63 \\ = 28.35[/tex]

Answer:

well, if I use a bit of lateral thinking; if y = 94, the the left hand side [ log(y-2)] simplifies down to log(92) which is the right hand side.

so y = 94

Answer:

$117.25

Step-by-step explanation:

To solve, multiply the interest by the total amount in savings.

You can calculate simple interest in a savings account by multiplying the account balance by the interest rate by the time period the money is in the account. Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance).

Brenda get $117.25 as interest from her bank.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Brenda learned that her bank would pay her 5% on her money in her savings account if she had at least $1,000 in it.

Brenda had $2,345 in her savings account.

So, the interest Brenda get

= 2345 x 5/ 100

= 2345 x 0.05

= $117.25

Learn more about Percentage here:

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Answer:

83

Step-by-step explanation: st had this question

Answer:

x = 6.5

Step-by-step explanation:

Reference angle = 54°

Length of Side opposite to 54° = x

Hypotenuse = 8 cm

Recall: SOHCAHTOA.

Apply SOH:

Sin 54 = Opp/Hyp

Sin 54 = x/8

x = 8*sin 54

x = 6.47213595 ≈ 6.5 cm (nearest tenth)

9514 1404 393

Answer:

  A.  translation 8 left

Step-by-step explanation:

Points X'Y'Z' are in the same clockwise order as points XYZ, so no reflection is involved.

Point X' at -6 is 8 units left of point X at 2. ΔXYZ has been translated left 8 units to make ΔX'Y'Z'.

Answer:

a is the answer.

Step-by-step explanation: