Passing through (7,4) and (6,3) what is the point-slope form of the equation?​

Answer:

(4,5)

Step-by-step explanation:

A reflection is a mirror image of the shape.

A reflection across the x-axis maps point (4,-5) to point (4. 5).

A reflection is a mirror image of the shape.

After the reflection, every point in a figure is equidistant from each corresponding point in the reflected figure.

We have,

A point = (4, -5)

The point is reflected across the x-axis.

The reflection formula is given as:

Reflection across the x-axis:

(x, y) → (x, -y)

Reflection across the y-axis:

(x, y) → (-x, y)

The point (4, -5) reflected across the x-axis is:

(4, -5) → (4, - (-5)) = (4, 5)

Thus,

A reflection across the x-axis maps point (4,-5) to point (4. 5).

Learn more about reflections here:

https://brainly.com/question/15487308

#SPJ2

Answer:

its 10

Step-by-step explanation:

'of' means multiply

1/4 of (1/4 times ) the opposite of (-) difference of 5 and a number (5-n) is lesss than 20 (<20)

1/4 times -(5-n)<20

multiply both sides by 1/4

-(5-n)<5

multiply both sides by -1 remember to flip sign

5-n>-5

add n

5>n-5

add 5

10>n

n<10

the number is any number less than 10

Answer:

Blank 1 would be irrational

Blank 2 would be 5 and 7

Step-by-step explanation:

hope this is correct

Answer:

Irrational & 5 and 7

Step-by-step explanation:

Answer:

B the total surface area

Step-by-step explanation:

instead of "bulging" outwards, the missing piece leaves a hole that would (with the same dimensions of the original cube) point inwards.

Answer:

2/7

Step-by-step explanation:

Since Q and R are independent, p(Q and R) will be p(Q) × p(R).

So,

p(Q) × p(R) = 4/7 × 1/2 = 4/14 = 2/7

So p(Q and R) given they are independent is 2/7

2/7 I hope this helps yaaa

Answer:

20%

Step-by-step explanation:

if zero toppings is an option, then there would be 5 possibilities for toppings

0,1,2,3,or 4

the server randomly chose 3 toppings so that would be one out of 5 or 20%.

(If the server did not have the option to put zero toppings on then there would be only 4 options 1,2,3, or 4 toppings and the correct answer would be one out of 4 or 25%.)

Miguel will need to deposit approximately $3,261.25 into the annuity each year for 8 years in order for the annuity to have a total value of $24,000.

What is the annuity?

An annuity is a contract between you and an insurance company that requires the insurer to make payments to you, either immediately or in the future. You buy an annuity by making either a single payment or a series of payments.

We can use the formula for the future value of an annuity:

FV = PMT * \(((1 + r)^n - 1) / r\)

where FV is the future value, PMT is the regular payment, r is the interest rate per compounding period, and n is the number of compounding periods.

In this problem, we want to solve for PMT, given that FV = $24,000, r = 6.6%, n = 8, and payments are made at the end of each year.

First, we need to calculate the interest rate per year, since the annuity is compounded annually:

i = r / 100 = 6.6% / 100 = 0.066

Next, we can plug in the values and solve for PMT:

24000 = PMT *\(((1 + 0.066)^8 - 1) / 0.066\)

24000 = PMT * 7.3605

PMT = 24000 / 7.3605

PMT ≈ $3,261.25

Hence, Miguel will need to deposit approximately $3,261.25 into the annuity each year for 8 years in order for the annuity to have a total value of $24,000.

To learn more about annuity, Visit

https://brainly.com/question/25792915

#SPJ1

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

Learn more about triangles here:

https://brainly.com/question/28470545

#SPJ1

The scale she use for the axes on her scatter plot are:

For the y-axis she should use a scale from 0 to 180 in 10-dollar intervals.

For the x-axis she should use a scale from 0 to 8 in one-hour intervals.

A scatter plot is a type of graph that displays values for two variables as a set of points on a two-dimensional coordinate system.

These are the appropriate scales for the axes on Caroline's scatter plot as they will allow for a clear visualization of the relationship between the number of hours spent in the mall and the amount of money spent.

The y-axis should show the amount of money spent, and a scale from 0 to 180 in 10-dollar intervals will provide enough range to accommodate the highest value in the data set (175 dollars) and allow for clear and easy-to-read axis labels.

Similarly, the x-axis should show the time spent in the mall, and a scale from 0 to 8 in one-hour intervals will also provide enough range to accommodate the highest value in the data set (7 hours) and allow for clear and easy-to-read axis labels.

To know more about scatter plot visit:

https://brainly.com/question/6592115

#SPJ1

The maximum area of a rectangle with a perimeter of 100 cm is 624 cm². The breadth of a rectangle with a perimeter of 100 m and a length of 35 m is 15 m. The length of a rectangle with a breadth of 20 cm and a perimeter of 100 cm is 30 cm. The length of a rectangle whose perimeter and width are given is calculated using the perimeter formula.

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). In the rectangle, the opposite sides are equal and parallel.

Given the perimeter of the rectangle is 100 cm. Then,

\(\begin{aligned}P&=2(l+b)\\100&=2(l+b)\\(l+b)&=50\end{aligned}\)

We cannot consider length and breadth as equal because the length is always greater than the breadth in a rectangle. So assume the value of length as 26 cm and the breadth as 24 cm. Then, the area will be given as A = (a × b) square units.

Then, A = 26×24 = 624 cm². The answer is 624 cm².

b) Given the length of the rectangle is 35 m and the perimeter is 100 m. Then, breadth is

\(\begin{aligned}P&=2(l+b)\\100&=2(35+b)\\50&=35+b\\50-35&=b\\b&=15\end{aligned}\)

The answer is 15 m.

c) Given the breadth of the rectangle is 20 cm and the perimeter is 100 cm. Then, the length is

\(\begin{aligned}P&=2(l+b)\\100&=2(l+20)\\50&=20+l\\50-20&=l\\l&=30\end{aligned}\)

The answer is 30 cm.

d) By substituting the value of width or breadth and perimeter in the perimeter formula P=2(l+w), we can get the value of the length.

The complete question is -

What is the maximum area of a rectangle with a perimeter of 100 cm? What is the breadth of a rectangle if its perimeter is 100 m and its length is 35 m? What is the length of a rectangle whose breadth is 20 cm and whose perimeter is 100 cm? How do you find the length of a rectangle if the perimeter and width are given?

To know more about rectangles:

https://brainly.com/question/15238546

#SPJ4

Answer:

8(x+4)

---------

  x-6

Step-by-step explanation:

8x - 56          x-6

------------   ÷--------------

x^2 - 49       x^2 + 11x + 28

Copy dot flip

8x - 56          x^2 +11x+28

------------   *--------------

x^2 - 49       x-6

Factor

8(x - 7)          (x+7)(x+4)

------------   *--------------

(x-7)(x+7)       x-6

Cancel like terms

8(x+4)

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

      x-6

The solutions to the trigonometric equation in this problem are given as follows:

Two angles are said to be complementary angles when the sum of their measures is of 90º.

For complementary angles, we have that the sine of one of the angles is the cosine of the other angle, hence in this problem we have that 2θ and θ are complementary angles.

Then the value of θ is obtained as follows:

2θ + θ = 90

3θ = 90

θ = 30º.

θ = π/6.

The equivalent angles, which are also solutions to the equation, are given as follows:

More can be learned about complementary angles at brainly.com/question/98924

#SPJ1

Answer:

28.52

Step-by-step explanation:

105.87 - 77.35 = 28.52

Answer:

B. 3188.5 cubic inches.

Step-by-step explanation:

The volume of a cone is calculated using the following formula:

Volume = (1/3) * π * r² * h

Where:

In this problem, we are given that r = 17 inches and S.h = 20 inches.

First we need to find height h.

py using Pythagorous theorem,we get

c²=a²+b²

here c= slight height and a is radius

20²=17²+b²

20²-17²=b²

111=b²

b=√(111)

Plugging these values into the formula, we get:

Volume = ⅓*π* 17² *√(111) = 3188.5 cubic inches

Therefore, the volume of the cone is 3188.5 cubic inches.

Answer:

34

Step-by-step explanation:

15+6=21

21+5=26

26+8=34

Answer: 98 cm²

Step-by-step explanation:

When a cartographer enlarges a map with a scale factor, both the length and the width are multiplied by the scale factor. In this case, the scale factor is 3.5.

Original dimensions of Colorado on the map:

Length: 4 cm

Width: 2 cm

Enlarged dimensions using the scale factor of 3.5:

Length: 4 cm × 3.5 = 14 cm

Width: 2 cm × 3.5 = 7 cm

To find the area of the enlarged map, multiply the enlarged length and width:

Area = Length × Width

Area = 14 cm × 7 cm

Area = 98 cm²

The area of the enlarged map is 98 cm².

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

For more such questions on income

https://brainly.com/question/28414951

#SPJ8

The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5 log₅ x − ¼ log₅ (8−x)

log₅ x⁵ − log₅ (8−x)^¼

log₅ x⁵ − log₅ ∜(8−x)

log₅ (x⁵ / ∜(8−x))       is the answer

Step-by-step explanation:

hope this helps

Answer:

\(log_5\biggr(\frac{x^5}{(8-x)^{\frac{1}{4}}}\biggr)\)

Step-by-step explanation:

\(5log_5(x)-\frac{1}{4}log_5(8-x)\\ \\log_5(x^5)-log_5((8-x)^{\frac{1}{4}})\\\\log_5\biggr(\frac{x^5}{(8-x)^{\frac{1}{4}}}\biggr)\)

Answer:

I just solved this as well and I got 102m as well.

Step-by-step explanation:

56 and -56 cancek eachother out. 57m + 45m can be added since they have the same variable. 57 + 45 is 102. So the answer is 102m.

Answer:

102

Step-by-step explanation:

Answer:

I think its d. a13=23

Plz correct me If I am wrong  

Step-by-step explanation:

Answer:

D. 6.3

Step-by-step explanation:

Well you can make a triangle with the line PQ with it's height as 2 and base as 6.

Then you can use the Pythagorean Theorem to find the length of PQ.

a²+b²=c²

2²+6²=c²

4+36=c²

40=c²

c²=40

Square root both sides

c=\(\sqrt{40}\)

c≈6.3

Our answer is D. 6.3

Answer:

A would be 90

Step-by-step explanation:

Triangles always calculate to 180 degrees so with the 45+45 being 90 you would subtract that to 180 and it'd give you 90.

Answer:

80 miles per hour

Step-by-step explanation:

To find her speed in miles per hour, multiply 20 by 4.

Since she drove 20 miles in 1/4 of an hour, we can find the amount she can drive in 1 full hour by multiplying it by 4.

20(4)

= 80

So, her rate in miles per hour is 80 miles per hour

Answer:

80 mph

Step-by-step explanation:

20 miles multiplied by 4(quarters of the hour) is 80mph

Answer:

Step-by-step explanation:

Given that the formula for exponential calculation :

\(A = P(1 + \frac{r}{n})^{nt}\)

A = final amount

P = initial principal balance

r = increasing rate

n = number of times increases applied per time period

t = number of time periods elapsed

\(A = 5,000,000,000(1 + \frac{2}{100})^{5}\\A = 5,000,000,000(\frac{100}{100} + \frac{2}{100})^{5}\\A = 5,000,000,000(\frac{102}{100})^{5}\\A = 5,000,000,000(\frac{51}{50})^{5}\\A = 5,000,000,000(1.104)\\\\A = 5,520,000,000\\A = 5.52billion\)

Hope this helps, I would really appreciate it if u mark me as the brainliest. Thks

If we use the 1.5 * IQR rule to see if there are any outliers, the correct boundary is 43 days.

To use the 1.5 * IQR rule to determine whether there are any outliers in this data set, we need to first calculate the IQR. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).

IQR = Q3 - Q1

= 28 - 18

= 10

Next, we can calculate the boundaries for potential outliers:

Lower boundary = Q1 - 1.5 * IQR

= 18 - 1.5 * 10

= 3

Upper boundary = Q3 + 1.5 * IQR

= 28 + 1.5 * 10

= 43

Since the maximum value in the data set is 56, there are no outliers above the upper boundary. Therefore, the right boundary is 43 days.

To find more questions on IQR

https://brainly.com/question/22424102

#SPJ4