The distance between 5,3 and 1,3

Answer:

i think its 2 as in square 2

Answer

root 354

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(√19 -√7)(√19 +√7)

( a +b)( a -b) = a²-b²

(√19)² -(√7)² = 19 -7 = 12

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

There are 32 conference games scheduled.

Since the little twelve football conference has two divisions, with nine teams in each division. each team plays each of the other teams in its own division twice once.

Since each team plays two matches against every other team, and plays against 8 teams, the number of games in each division is 2 games/team × 8 teams = 16 games.

Since there are the same number of teams in each division, so there are the same number of games per division and there are 2 divisions, the total number of games in the conference = games per division × number of divisions

= 16 games/division × 2 divisions

= 32 games.

So, there are 32 conference games scheduled.

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Tracey paid approximately 27.55% of the original price.

To find the percentage of the original price that Tracey paid, we can use the following formula:

Percentage = (Amount Paid / Original Price) * 100

In this case, the amount paid by Tracey is $135, and the original price of the item is $490. Plugging these values into the formula:

Percentage = (135 / 490) * 100

To simplify the calculation, we divide $135 by $490:

Calculating this expression:

Percentage = (0.2755) * 100

Percentage ≈ 27.55

Therefore, Tracey paid approximately 27.55% of the original price.

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The measure of the angles of the cyclic quadrilateral are:

Arc PQ = 130

QR = 50°

Arc RS = 70°

∠PSQ = 65°

∠PSB = 65°

∠SBP = 80°

AQS = 30°

PS = 110°

From the figure, the arc PQ is subtended by the angle PAQ.

This means that:

PQ = ∠PAQ

Given that ∠PAQ = 130, it means that:

Arc PQ = 130

The measure of PSQ is then calculated using:

∠PSQ = 0.5 * Arc PQ ----- inscribed angle is half a subtended angle.

This gives: ∠PSQ = 0.5 * 130

∠PSQ = 65°

Hence, the measure of ∠PSQ is 65°

The measure of arc QR

A semicircle measures 180°

Thus:

QR + PQ = 180°

Thus, we get:

QR = 180° - PQ

Substitute 130° for PQ

QR = 180° - 130°

QR = 50°

Hence, the measure of QR is 50°

The measure of arc RS

The measure of arc RS is then calculated using:

∠RPS = 0.5 * Arc RS ----- inscribed angle is half a subtended angle.

Where ∠RPS = 35

So, we have:

35 = 0.5 * Arc RS

Multiply both sides by 2

Arc RS = 70°

The measure of angle AQS

In (a), we have:

∠PSQ = 65°

This means that:

∠PSQ = ∠PSB = 65°

So, we have:

∠PSB = 65°

Next, calculate SBP using:

∠SBP + ∠BPS + ∠PSB = 180° ---- sum of angles in a triangle.

So, we have:

∠SBP + 35 + 65 = 180°

∠SBP + 100 = 180

∠SBP = 80°

The measure of AQS is then calculated using:

AQS = AQB = 180 - (180 - SBP) - (180 - PAQ)

AQS = 180 - (180 - 80) - (180 - 130)

AQS = 30°

The measure of arc PS

A semicircle measures 180°

This means that:

PS + RS = 180°

This gives

PS = 180 - RS

RS = 70

Thus:

PS = 180 - 70

PS = 110°

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We can prove that if the diagonals of a quadrilateral bisect each other and one angle of a quadrilateral is a right angle, then the quadrilateral is a rectangle.

Let ABCD = a quadrilateral such that its diagonals AC and BD bisect each other at point O.

Let ∠A = a right angle.

Required: Prove that ABCD is a rectangle.

First, quadrilateral ABCD is a parallelogram. Since the diagonals bisect each other, we have:

OA = OC (diagonals bisect each other)

OB = OD (diagonals bisect each other)

Therefore, triangle AOB is congruent to triangle COD by SAS (Side-Angle-Side) congruence:

AB = CD (corresponding sides of congruent triangles)

Next, triangle BOC is congruent to triangle DOA, as:

BC = AD (corresponding sides of congruent triangles)

So, we have proved that opposite sides of quadrilateral ABCD are congruent, which implies that ABCD is a parallelogram.

Next, we show quadrilateral ABCD has right angles at both B and D. Since ∠A is a right angle, we have:

∠BOC = 180° - ∠A (linear pair)

∠BOC = 180° - 90° (since ∠A is a right angle)

∠BOC = 90°

Again, we show that ∠AOD = 90°. So, we have shown that quadrilateral ABCD has right angles at both B and D.

Finally, we can prove that quadrilateral ABCD is a rectangle.

Since ABCD is a parallelogram with opposite angles B and D, both right angles, then ABCD is a rectangle.

Therefore, if the diagonals of a quadrilateral bisect each other and one angle of the quadrilateral is a right angle, then the quadrilateral is a rectangle.

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When looking at sides AC and CB, the included angle is angle ABC. The included angle is the angle between two given sides. In this particular question, we are given the sides AC and CB.

Here, we have a triangle ABC, and we are interested in the angle between sides AC and CB. This angle is opposite to the side AB. Therefore, this included angle is angle ABC. We can summarize this as follows: When we have two sides of a triangle, we can determine the included angle by finding the angle that lies between them. In the case of sides AC and CB, the included angle is the angle that is opposite to the third side of the triangle, AB.

Therefore, the included angle in this case is angle ABC.

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(Question is incomplete i answered what is included angle)

A decrease in the price of potato chips, a substitute good, will have the following effect on the market for pretzels, assuming it is initially in equilibrium:

1. Increase in Quantity Demanded: The decrease in the price of potato chips will make them relatively cheaper compared to pretzels. As a result, some consumers who previously purchased pretzels may switch to buying potato chips instead. This will lead to an increase in the quantity demanded for potato chips.

2. Decrease in Quantity Supplied: With an increase in the quantity demanded of potato chips, some potato chip producers may shift their resources towards meeting the higher demand. This can result in a decrease in the quantity supplied of pretzels as resources are diverted away from their production.

3. Decrease in Price of Pretzels: Due to the decrease in quantity supplied, the supply of pretzels will be reduced. As a result, the equilibrium price of pretzels may increase as consumers compete for the limited supply.

4. Potential Increase in Demand for Pretzels: While the decrease in the price of potato chips may lead some consumers to switch to potato chips, there may also be consumers who view pretzels as a complementary good to potato chips. These consumers may increase their demand for pretzels due to the lower price of potato chips.

Overall, the effect of a decrease in the price of potato chips on the market for pretzels is likely to result in a decrease in the quantity supplied of pretzels, a potential increase in the demand for pretzels, and a possible increase in the equilibrium price of pretzels.

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Answer: 23/2 or 11.5

Step-by-step explanation:

x - 10 = (x - 7) / 3

3 (x - 10) = x - 7

3x - 30 = x - 7

3x - x = 30 - 7

2x = 23

x = 23/2 answer...

change it into decimal form

x = 11.5 answer...

note: 23/2 or 11.5 both could be the answers

hope that helps...

Answer:

x = 23/2 or 11.5

Step-by-step explanation:

Step 1: Multiply both sides by 3.

Step 2: Subtract x from both sides.

Step 3: Add 30 to both sides.

Step 4: Divide both sides by 2.

Therefore, x = 23/2 or 11.5.

The pythagorean theorem establish that:

where c is the hypotenuse, a and b are the legs of the right triangle.

In this case then:

Solving for x we have:

Therefore, x=15.

Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest then the initial deposit was $4700

Use the simple interest formula

I = P r t

where I = simple interest

P = principal

r= rate of interest

t= number of years

5922=Px6.3%x20

5922=Px1.26

P=5922/1.26

P=4700

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Answer:

XZ = 22.5 inches

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{XZ}{PR}\) = \(\frac{XY}{PQ}\) ( substitute values )

\(\frac{XZ}{15}\) = \(\frac{9}{6}\) ( cross- multiply )

6 × XZ = 15 × 9 = 135 ( divide both sides by 6 )

XZ = 22.5 inches

I have no idea whether those numbers are correct, and I'm not gonna bother looking them up.

But you gave us a speed and a distance, and you asked for a time.

We can just go ahead and use the formula:  Time = (distance) / (speed) .

IF your numbers are true, then

Time = (distance) / (speed)

Time = (3.55 x 10⁹ mi) / (1.25 x 10⁷ mi/min)

Time =  (3.55 x 10⁹ / 1.25 x 10⁷) minutes

Time =  2.84 x 10² minutes

Time = 284 minutes

Time = 4 hours 44 minutes

The result of each operation is given as follows:

a) a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.

b) a ∩ b = {}.

c) a - b = {0, 2, 4, 6, 8}.

The union and intersection sets of multiple sets are defined as follows:

Item a:

The union set is composed by the elements that belong to at least one of the sets, hence:

a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.

Item B:

The two sets are disjoint, that is, there are no elements that belong to both sets, hence the intersection is given by the empty set.

Item c:

The subtraction is all the elements that are on set a but not set b, hence:

a - b = {0, 2, 4, 6, 8}.

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Answer:

Step-by-step explanation:

a. d^2 - 7d + 6 = 0

(d - 1)(d - 6) = 0

d - 1 = 0,  d - 6 = 0 therefore:

d = 1,  6.

b, x^2 + 18x + 81 = 0

(x + 9)(x + 9) = 0

x = -9  multiplicity 2.

c   u^2 + 7u - 60 = 0

(u + 12)(u - 5) = 0

u = -12, 5.

The commutative, associative, and distributive properties are the properties of addition and multiplication.

The associative and commutative characteristics in mathematics are constant rules that apply to addition and multiplication.

The commutative property states that moving numbers about will still result in the same answer, while the associative property states that rearranging the numbers will provide the same result.

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

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Answer:

The distributive property tells us how to solve equations in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Normally when we see an equation like this … 4(8+3) distributive property format 4(8+3) -> 4(11) -> 44 we just evaluate what’s in the parentheses first, then solve it: 4(8+3)=4x8 + 4x3=44 These are the 2 methods

Step-by-step explanation:

Answer:

Step-by-step explanation:

The independent variable always goes on the x-axis, or the horizontal axis. The dependent variable goes on the y-axis, or vertical axis. Here's an example: As you can see, this is a graph showing how the number of hours a student studies affects the score she got on an exam

Heuristics refers to rules of thumb that simplify the decision-making process. Heuristics are mental shortcuts that help individuals make decisions quickly, often relying on previous experience or intuition rather than a more systematic approach.

While heuristics can be useful, they can also lead to biases and errors in judgment if they are applied too broadly or without careful consideration. It is important to be aware of these heuristics and how they can affect decision-making processes, especially in complex or high-stakes situations where careful consideration is necessary.

The answer is C.

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Answer:

10

Step-by-step explanation:

geometric mean theorem :

h = sqrt(pq)

p, q being the segments on the Hypotenuse of the right-angled triangle.

so, x = sqrt(9×10) = 3×sqrt(10)

Answer: See explanation

Step-by-step explanation:

Monday

The sale price of the items was $41.40

Mrs. Bolden paid $2.48 in sales tax on her purchase.

Altogether, Mrs. Bolden paid $43.88 for the shirts and flip flops.

Tuesday

The price decreased by approximately 8%

3.44 ÷ 3.75 = 0.917

0.917 × 100 = 91.7

91.7 ≈ 92

100 - 92 = 8

8% of 3.75 is 0.3

3.75 - 0.3 = 3.45

3.45 ≈ 3.44

Wednesday

22 ¹/₂ yrs or 22 yrs if that's easier

127.5 ÷ 1500 = 0.085

0.085 × 100 = 8.5

100 - 8.5 = 91.5

4 1/4 = 4.25

91.5 ÷ 4.25 = 21.5294117647

21.5294117647 × 4.25 = 91.5

21.5294117647 ≈ 21 ¹/₂ yrs

Thursday

If she marked up the price by 40%, that means $15 is 60% the original/selling price.

60% of x = 15

0.6x = 15

Divide both sides by 0.6

x = 25

The selling price is $25

If you wanted to confirm, 0.6 × 25 = 15

Friday

3 jeans for $42 each

3 × 42 = 126

3 jeans for $126

5 shirts for $27 each

5 × 27 = 135

5 shirts for $135

126 + 135 = 261

6.5% of 261

0.065 × 261 = 16.965

16.965 to the nearest cent is 16.97

She would have to pay $16.97 for tax.

261 + 16.97 = 277.97

She won't have enough money to buy everything she wants since the total price would be over $275.

Answer:

As I answered in the other one the answer is 1/3

Step-by-step explanation:

Answer:

the slope is zero because anything times 0 is zero

Step-by-step explanation:

Data:

Loan=$278 at 10%

A simple interest is calculated for payments on the initial capital.

If the total interest was $174.12.

If the interest is on a year. You calculated the interes of one year. The 10% of $278:

In a year the interest is $27.8.

Then, $174.12 divided into $27.8 is the number of years of the loan:

yes. the hikers will ever be the same elevation.6+1=7  the same elevation.

Y = 6x + 1

FIll the value of y in this equation

3x + 4​= 6x + 1

3x=4-1

x=3/3=1

Y = 6x + 1

FIll the value of x in this equation

6+1=7. The height above or below a specified reference point, most frequently a reference geoid, which is a mathematical representation of the Earth's sea level as an equipotential gravitational surface, determines a location's elevation. In most cases, elevation is used to describe locations on the surface of the Earth, whereas altitude or geopotential height is used to describe locations above the surface, such as those of flying airplanes or orbiting satellites, and depth is used to describe locations below the surface. Elevation should not be confused with the angular separation from the Earth's center. The summits of Mount Everest and Chimborazo have the highest elevation and greatest geocentric distance, respectively, because of the equatorial bulge.

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Answer:

5x + 4y = 80

Step-by-step explanation:
First, let us look at the given:

x = The number of songs purchased

y = The remaining balance of Renata's gift card

Coordinates:

1. (16,0)

2. (0,20)

Now let's look at the unknown:

Slope =?

Since we have the coordinates we can easily apply the slope formula

Now that we have our slope we can use either point-slope formation or slope-intercept formation, just pick whichever one you're comfortable with.

Point-slope formation

y - y1 = slope (x - x1)

Now just plug in the numbers:

y - 0 = 20/-16 (x - 16)

Now you multiply both sides by -16 to get rid of the fraction

-16(y - 0) = -16 (20/-16) (x - 16)

-16y - 0 = 20 (x - 16)

-16y = 20x - 320

Now subtract 20 from both sides.

-16y - 20x = 20x - 20x - 320

-20x - 16y = -320

Now we need to simplify both sides so we divide both sides by 4

-5x - 4y = -80

Now, remember, one of the rules of standard formation is that the coefficient of x cannot be smaller than zero. So you need to multiply both sides by -1.

-1 (-5x - 4y) = (-80) -1

5x + 4y = 80

Answer:

B

Step-by-step explanation:

i think its b cuz yea

Answer:

They are all in standard form

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

ΔFDC and ΔFBA are similar          AA Similarity