Write the following expression in simplified radical form. (See picture)

Answer:

5: given y=2x-2 new y=2x+2

6: given y=-1/4x+4 new y=-1/4x+7

Step-by-step explanation:

Answer:

5.

Equation for given line: y = 2x - 2

Equation for new line: y = 2x +3

6.

Equation for given line: y = -0.25x + 4

Equation for new line: y = -0.25x + 3

Step-by-step explanation:

You can find the equation for the given line using the formula y = mx + b where m is the slope and b is the y-intercept. When the slope for #5 hits the y-axis, that is known as the y-intercept so the b part in the formula, y = mx + b, would be -2 since it hits the y-axis at -2. Now the slope for #5 would be 2 because every x-coordinate is 2 y-coordinate. That means every time x goes to the right, y goes up twice.

The same is true for #6 except it's negative with a different slope and y-intercept but the concept is the same.

To find a line parallel to the given line, it can have any y-intercept you would like, it just needs to have the same slope as the given line.

Answer:

13.5

Step-by-step explanation:

We know that using the similar triangles that it is an isoceles triangles. we can figure out both unknown sides as 7.1/2, and 7.1/2. So we add 7.1 and 6.4

To find the critical points at which profit is maximized given the total revenue TR = 4700 - 302 and total cost TC = 320/10,500, we need to compute the marginal revenue and marginal cost, equate MR = MC to find the optimal quantity Q∗, verify if Q∗ is a relative maximum point, and compute the maximum profit level (π) by evaluating π∗ = 9(π(Q∗)).

Marginal Revenue (MR) is the derivative of the total revenue function with respect to quantity (Q). In this case, MR = dTR/dQ. By taking the derivative of TR = 4700 - 302 with respect to Q, we can find the expression for MR.

Marginal Cost (MC) is the derivative of the total cost function with respect to quantity (Q). In this case, MC = dTC/dQ. By taking the derivative of TC = 320/10,500 with respect to Q, we can find the expression for MC.

To find the optimal quantity Q∗, we equate MR and MC by setting MR = MC and solve for Q. This is because profit is maximized when MR equals MC.

Once we have found Q∗, we need to verify if it is a relative maximum point. This can be done by checking the second derivative of the profit function and determining if it is negative at Q∗. If the second derivative is negative, it confirms that Q∗ is a relative maximum point.

Finally, to compute the maximum profit level (π∗), we evaluate π(Q∗) by substituting Q∗ into the profit function. In this case, we can multiply the value of π(Q∗) by 9 to obtain the maximum profit level (π∗).

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Answer:p=-6

Step-by-step explanation:

Answer:

Robert got 35 problems right if he received an 87.5% oh his test.

Step-by-step explanation:

As Robert got right 87.5% on his test.

so the expression becomes

87.5% × 40

= 87.5/100 × 40

= 0.875 × 40

= 35

Therefore, Robert got 35 problems right if he received an 87.5% oh his test.

angle has a measure equal to the sum of the the question is ∠DQS.


According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.

Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.



Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.

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Answer:

\(\textsf{1)} \quad x=\dfrac{y-b}{a}\)

\(\textsf{2)} \quad x=\dfrac{y+b}{a}\)

\(\textsf{3)} \quad x=2y-2\)

Step-by-step explanation:

\(\boxed{\begin{aligned}&\textsf{Given}: \quad &y & =xa+b\\\\&\textsf{Subtract $b$ from both sides}: \quad & y-b&=xa+b-b \\\\&\textsf{Simplify}: \quad &y-b&=xa \\\\&\textsf{Divide both sides by $a$}: \quad &\dfrac{y-b}{a} &=\dfrac{xa}{a} \\\\&\textsf{Simplify}: \quad &\dfrac{y-b}{a} &=x\\\\&\textsf{Switch sides}: \quad & x&=\dfrac{y-b}{a}\end{aligned}}\)

\(\boxed{\begin{aligned}&\textsf{Given}: \quad &y & =xa-b\\\\&\textsf{Add $b$ to both sides}: \quad & y+b&=xa-b+b \\\\&\textsf{Simplify}: \quad &y+b&=xa \\\\&\textsf{Divide both sides by $a$}: \quad &\dfrac{y+b}{a} &=\dfrac{xa}{a} \\\\&\textsf{Simplify}: \quad &\dfrac{y+b}{a} &=x\\\\&\textsf{Switch sides}: \quad & x&=\dfrac{y+b}{a}\end{aligned}}\)

\(\boxed{\begin{aligned}&\textsf{Given}: \quad & y&=\dfrac{x+2}{2} \\\\&\textsf{Multiply both sides by $2$}: \quad & 2 \cdot y&=2 \cdot \dfrac{x+2}{2} \\\\&\textsf{Simplify}: \quad & 2y&=x+2 \\\\&\textsf{Subtract $2$ from both sides}: \quad & 2y-2&=x+2-2 \\\\&\textsf{Simplify}: \quad & 2y-2&=x \\\\&\textsf{Switch sides}: \quad &x&=2y-2\end{aligned}}\)

2.74 and 137/50 should be correct

Answer:

274% as a decimal = 2.74

Place the Percentage Value at the top over 100.

274/100

The given fraction is

27/100

On reducing the fraction, we get the exact form

274/100 = 137/50

The exact form of the fraction is

137/50]

In the decimal form, the fraction can be written as 2.74.

In the Mixed Number form, the fraction can be written as 2 37/50

.

Step-by-step explanation:

Answer:

Area is 64cm^2
Diagonal is 11.3cm

Step-by-step explanation:

To find the area of a square, you need to multiply the length of one side by itself. In this case, the side length is 8 cm, so the area of the square is 8 x 8 = 64 square centimeters.

To find the diagonal of a square, you need to use the Pythagorean theorem. This states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. In this case, the diagonal of the square will be the hypotenuse of a right triangle with two sides that are each 8 cm long. So, to find the diagonal, we need to find the square root of 8 squared plus 8 squared, which is equal to the square root of 64 + 64, or the square root of 128. This means the diagonal of the square is approximately 11.3 cm.

Answer:

the answer = um ok

Step-by-step explanation:

The equation containing the two given points is

a) y + 2 = −4(x−5)

 An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.

 Equations can be graphed, they are used to model many problems and theories.

To solve this problem we must evaluate both points in each of the equations, both points must be satisfied in order to validate that they are contained in the function.

Another way is to determine the slope "m"

m = y2-y1 / x2-x1

m = 18-(-2) / 0 - 5

m  = -4

Equation of the line containing both points

-2 = -4(5) + b

b = 18

y = -4x + 18

a) y + 2 = −4(x−5)

y + 2 = -4x + 20

y = -4x + 18    Contains the points

b) x + 4y = − 12

4y = -12 - x

y = -3 -x/4   NO Contains the points

c) y − 6= −4(x + 1)

y = -4x - 4 +6

y = -4x + 2    NO Contains the points

d) y = −4x − 12   NO Contains the points

e) y = −4x + 18    NO Contains the points

f) 4x + y=18     NO Contains the points

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Answer:

5

Step-by-step explanation:

75 / 5 = 15

5 + 5 = 10

so 5 does both

Answer:

c)20%

Step-by-step explanation:

First take the new price and subtract the original price

60-50 =10

Divide by the original price

10/50 =.2

Change to percent form

.2 *100 = 20%

Answer:

hope this answer helps you dear....take care!

Answer:

x = -32

Step-by-step explanation:

I'm going to break it into parts, hopefully this makes sense haha

Bottom of fraction: (-2)² = 4

Right side of equation: 4 (-2) = -8

So now we have

\(\frac{x}{4}\) = -8

Mutiply both sides by 4: x = -32

Answer: <RPS = 161

Step-by-step explanation:

P is the common vertex in all of these angles. From this we know that these have to be adjacent angles (<QPR and <QPS) that equal the whole angle (<RPS)

<QPR+<QPS= <RPS

71+90= 161

(<QPS is a right angle. Right angles are equal to 90 degrees.)

The ground motion associated with a felt but non-damaging earthquake of magnitude 3.5 is considerably less intense compared to a strong earthquake that is also felt but causes no damage. The difference lies in the amplitude and energy release of the seismic waves generated by each earthquake.

Ground motion during an earthquake is determined by various factors, including magnitude, distance from the epicenter, and the geological characteristics of the region. In the case of a magnitude 3.5 earthquake that is felt but does not cause damage, the ground motion is relatively mild. The amplitude of the seismic waves produced by this earthquake is smaller compared to a strong earthquake. The energy release during a magnitude 3.5 earthquake is also significantly lower, resulting in less shaking of the ground.

On the other hand, a strong earthquake that is felt but does not result in damage would have a higher magnitude, indicating a greater release of energy. The ground motion associated with such an earthquake would be more intense compared to the magnitude 3.5 event. The amplitude of the seismic waves would be larger, resulting in stronger shaking of the ground. However, since the earthquake does not cause any damage, the intensity of the ground motion is still below the threshold that can lead to structural failures or other detrimental effects.

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A product is formed when you multiply two numbers or expressions. The word "and" is used to divide the two items being multiplied. So "The product of 8 and ---" means that you are multiplying 8 and what ever follows the "and" in the problem, in this case it is "the sum of a number and 7".

( 8-n)

Explanation:

the difference means to subtract

the unknown number can be represented by the variable n

so

( 8-n)

Answer:

y = -1/2

Step-by-step explanation:

−7⋅

Answer:

Step-by-step explanation:

y/-7=1/14

use cross multiplication

Hope it helps

Answer:

Concept: Combining terms

Answer:

12y

Step-by-step explanation:

6y-2y=4y

4y+8y=12y

pick me as brainliest

Answer:

Omg the picture is so funny but the first one describes the translation

(x,y)> (x + 5, y - 3

Step-by-step explanation:

I hope this helped!

Answer:

Its C. (x, y) → (x – 3, y + 5)

Step-by-step explanation:

I did the test

The direction of the man's displacement is approximately 21.6° west of north.

To find the direction of the man's displacement, we can consider his overall movement as a vector sum of the individual displacements. We'll break down the displacements into their horizontal (east-west) and vertical (north-south) components.

First, let's calculate the horizontal and vertical components of the first displacement:

Horizontal component: 31.8 km * cos(11.8°) = 31.8 km * 0.977 = 31.05 km (eastward)

Vertical component: 31.8 km * sin(11.8°) = 31.8 km * 0.21 = 6.70 km (northward)

Now, let's calculate the horizontal and vertical components of the second displacement:

Horizontal component: 68.7 km * sin(73.4°) = 68.7 km * 0.743 = 51.01 km (westward)

Vertical component: 68.7 km * cos(73.4°) = 68.7 km * 0.669 = 45.96 km (northward)

To find the overall horizontal and vertical displacements, we add the corresponding components together:

Overall horizontal displacement = 31.05 km - 51.01 km = -19.96 km (westward)

Overall vertical displacement = 6.70 km + 45.96 km = 52.66 km (northward)

Now, we can find the direction of the displacement using the inverse tangent function:

Direction = arctan(Overall horizontal displacement / Overall vertical displacement)

Direction = arctan(-19.96 km / 52.66 km)

Direction ≈ -21.6°

The negative sign indicates that the displacement is in the westward direction, and the magnitude of the angle is approximately 21.6°.

Therefore, the direction of the man's displacement is approximately 21.6° west of north.

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Answer:

Solution given:

we have

setup price =$30

as rate for 1 print tickets =$1.05/tickets

so

for t

t=$30+$1.05*t

is a required expression.

the

cost of 300 tickets:

300 tickets =$30+$1.05*300=$345

$345is the cost of 300 tickets.

The equation in standard form for the circle with diameter endpoints (1,17) and (1,-1) is (x - 1)^2 + (y - 8)^2 = 81.

To write the equation of a circle in standard form, we need to use the formula: (x - h)^2 + (y - k)^2 = r^2 Where (h,k) is the center of the circle and r is the radius.

We can use the midpoint formula to find the center of the circle, which is the midpoint of the diameter: Midpoint = ((x1 + x2)/2 , (y1 + y2)/2) Substituting the given endpoints, we get: Midpoint = ((1 + 1)/2 , (17 + (-1))/2) = (1, 8) So the center of the circle is (1,8).

Now we need to find the radius, which is half the length of the diameter: Length of diameter = sqrt((1-1)^2 + (17-(-1))^2) = sqrt(18^2) = 18 Radius = 18/2 = 9 Substituting the center and radius in the standard form equation, we get: (x - 1)^2 + (y - 8)^2 = 9^2 Simplifying, we get: (x - 1)^2 + (y - 8)^2 = 81

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Answer:

for the 2 blank it is "22, 20.25"

Step-by-step explanation:

because each of them are subtracting by 1.75

Answer: \(103,108\)

Step-by-step explanation:

Given

There are total of 211 coins

The worth of the coins is \(\$37.30\)

Suppose there are x dimes and y quarters

A dime is equivalent to 10 cents and quarter is equivalent to 25 cents

\(\therefore x+y=211\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=37.30\\\Rightarrow x+2.5y=373\quad \ldots(ii)\)

Solving (i) and (ii) we get

\(x=103,y=108\)

Therefore, student collects 103 dimes and 108 quarters.

Answer:

2

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

truss