What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2,5)?​

Answer:  b) 16

Step-by-step explanation:

[tex]64^{\frac{2}{3}}=(2^6)^{\frac{2}{3}}=2^{\frac{12}{3}}=2^4=2\cdot \cdot 2\cdot 2\cdot 2=\boxed{16}[/tex]

Answer:

[tex]\boxed{\bold{16}}[/tex]

Step By Step Explanation:

Factor: [tex]\bold{64=4^3}[/tex]

[tex]\bold{\left(4^3\right)^{\frac{2}{3}}}[/tex]

Apply Exponent Rule [tex]\bold{\left(a^b\right)^c=a^{bc}: \ \left(4^3\right)^{\frac{2}{3}}=4^{3\cdot \frac{2}{3}}=4^2}[/tex]

[tex]\bold{4^2}[/tex]

Refine

[tex]\bold{16}[/tex]

Answer:

Initial Volume: 20 mL

Final Volume: 32  mL

Volume of the rock: 12mL

Step-by-step explanation:

From the image we see that the initial volume of water is 20 mL, and after the rock is put into the flask, the final volume is 32 mL. From this we conclude that the volume of the rock must be 32mL-20mL = 12 mL.

Thus we have:

Initial Volume: 20 mL

Final Volume: 32  mL

Volume of the rock: 12mL.

Answer:

20

32

12

Step-by-step explanation:

a whole or 1, is when the numerator and denominator are the same, namely 2/2, 3/3, 10000/10000 is a whole.

on Saturday they travelled 5/8 of the way, now, the whole being 8/8, so if we take 5/8 from 8/8, we're simply left with 3/8, that's the remaining distance to grandmas house.

on Sunday they travelled 1/3 of that remaining amount, how much is that?  well, is simply their product,

[tex]\bf \cfrac{3}{8}\cdot \cfrac{1}{3}\implies \cfrac{3}{3}\cdot \cfrac{1}{8}\implies \cfrac{1}{8}[/tex]

Answer:

A'(-6,30)

B'(12,24)

C'(6,12)

Step-by-step explanation:

By definition, dilation is a tranformation in which the the image and the pre-image have the same shapes but differente sizes.

You know that:

- The vertices of ABC are:  A(-2,10), B(4,8),C(2,4).

- The scale factor is 3.

- The center of dilation is at the origin.

By definition, if the scale factor is greater than 1, then the image is an enlargement.

Therefore, you must multiply each original vertex by 3:

(x,y)→(3x,3y)

Then the coordinates A',B' and C' are:

A'→ [tex](-2(3), 10(3))=(-6,30)[/tex]

B'→ [tex](4(3), 8(3))=(12,24)[/tex]

C'→ [tex](2(3), 4(3))=(6,12)[/tex]

Hello people of AMERICA!!! :)

Answer:

Area = 260

Step-by-step explanation:

The formula for the area of a 6-gon is

Area = 3*sqrt(3) * side^2 / 2

side = 10

Area = 3 * 1.7321 * 100/2

Area = 259.8

Area = 260

Answer:

Option C.

Step-by-step explanation:

we have

[tex]4x + 2y = -2[/tex] -----> equation A

[tex]x-3y=24[/tex] -----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

using a graphing tool

see the attached figure

The intersection point is (3,-7) -----> is a common point both lines

The point (1,-3) belong to the line A

The point (6,-6) belong to the line B

therefore

a line includes points 1 comma negative 3 and 3 comma negative 7. A line includes points 3 comma negative 7 and 6 comma negative 6

8 is a factor of 16, so you would multiply the numerator and denominator of 5/8 and 6/8 by 2. this would be 10/16 and 12/8. add all of the numbers together = 10+12+4 which equals 26. it’d be 26/16 or 1 and 10/16.

Answer:

1[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

equation: [tex]\frac{5}{8}[/tex]+[tex]\frac{14}{16}[/tex]+[tex]\frac{6}{8}[/tex]=x

but we cannot solve this because not all of the fractions have an equal denominator. so, we can multiply [tex]\frac{5}{8}[/tex] and [tex]\frac{6}{8}[/tex] each by two.

why?

because 8x2 is 16 and if you multiply them you get a common denominator of 16, making it way easier to add up the fractions.

so, what you do to the top you do to the bottom:

[tex]\frac{5}{8}[/tex] [tex]\frac{x2}{x2}[/tex] [tex]\frac{10}{16}[/tex]              [tex]\frac{6}{8}[/tex] [tex]\frac{x2}{x2}[/tex] [tex]\frac{12}{16}[/tex]

so, [tex]\frac{10}{16}[/tex]+[tex]\frac{12}{16}[/tex]+[tex]\frac{4}{16}[/tex] equals to [tex]\frac{26}{16}[/tex].

[tex]\frac{26}{16}[/tex] = 1 [tex]\frac{10}{16}[/tex].

however 1[tex]\frac{10}{16}[/tex] can be simplified more.

divide top and bottom by 2 and get 1[tex]\frac{5}{8}[/tex]

the picture would be the work shown. messy kuz i used paint from windows with a mouse but tried to make it neat as possible.

plz give me a brainliesttttt

Answer:

y=6x + 9

Hope this helped!

[tex]\bf \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{Judy spent time}}{\stackrel{\textit{Kaitlin's time}}{\cfrac{2}{3}}\cdot \cfrac{3}{2}}\implies \cfrac{2}{2}\cdot \cfrac{3}{3}\implies 1~\hfill \boxed{\cfrac{1}{2}}\rule[0.35em]{3em}{0.25pt}\stackrel{\stackrel{Judy's}{\downarrow }}{1}\rule[0.35em]{5em}{0.25pt}\stackrel{1\frac{2}{3}}{\boxed{\cfrac{2}{3}}}[/tex]

so, Judy's time is really 1 hour exactly.

and on the number line, we could place that 1 in between the first half and the two thirds of the of the next number, as you see above.

There is a mistake in the question as Judy's homework time cannot be between 2/3 and 1/2 of an hour if she spent 1 1/2 times as much time as Kaitlin who spent 2/3 of an hour. Judy's homework time would be 1 hour.

The question seems to have a typo or a logical error, as it is not possible for Judy's homework time, which is 1 1/2 times Kaitlin's time, to be between 2/3 of an hour and 1/2 of an hour. Instead, if Kaitlin spent 2/3 of an hour on homework, Judy would have spent (2/3) * (3/2) = 1 hour on homework, which is more than both 2/3 and 1/2 of an hour. It appears that Judy's actual homework time would be exactly one hour, not between the two given times.

Volume is L x W x H. Since the three dimensions are all multiplied by each other it doesn't matter the order.

This means the answer would be D.

Answer: d - (d x .1)

Step-by-step explanation: The expression that will show how much the actor will earn is d - (d x .1). D is the actor’s earnings and d x .1 is the commission of their agent.

Final answer:

The expression that shows how many dollars the actor will earn this year after the agent's commission is deducted is d - 0.1d. The agent collects a commission of 10% of the actor's earnings, which is subtracted from the total earnings.

Explanation:

The expression that shows how many dollars the actor will earn this year after the agent's commission is deducted is:

d - 0.1d

Since the agent collects a commission of 10% of the actor's earnings, we can multiply the earnings by 0.1 to find the amount of commission. Subtracting this amount from the total earnings gives us the amount the actor will earn after the commission is deducted.

y=1/2x is your answer :)))

Answer:

y=1/2x is your answer :)))

Step-by-step explanation:

Answer: x + 3

Step-by-step explanation: In this question you need to know that a sum is the answer when you add numbers. In this case x = any number. The expression is x + 3

Answer:

Step-by-step explanation:

Hello

Being X represented on any number, the expression will be:

X+3

Best regards

Answer:

hard  question

Step-by-step explanation:

Answer:

V1 = 60 km/h

V2 = 40 Km/h

Step-by-step explanation:

The speed of an object is defined as

Speed =  distance / time

Let

V1 be the speed of the faster car

V2 be the speed of the other car

t1 the time it took for the first car to arrive

t2 the time it took for the second car to arrive

d1 the distance traveled by first car

d2 the distance traveled by second car

We know thanks to the problem that

V1 = V2 + 20 Km/h

t1 = t2 - 1 hour

d1 = d2 = 120 Km

d1 = V1 * t1

d2 = V2* t2

V1 * t1 = V2* t2

V1* t1 = (V1 -20)*(t1 +1)

The system of equations

(V1 -20)*(t1 +1) = 120

V1 * t1 = 120

120 + (120/t1) -20*t1 = 140

(120/t1) -20*t1  = 20

Which gives,

t1 = 2

This means

V1 = 60 km/h

V2 = V1 - 20 Km/h =  40 Km/h

Answer: 60 km/h, and 40 km/h

Step-by-step explanation:

Answer:

i believe its 27

Step-by-step explanation:25 times two= 50 27 times two= 54 +one more is 55. so it is 27

Answer:

Step-by-step explanation:

Givens

We know that the total number of chairs must be the product between the number of chairs per row and the total number of rows, which can be expressed as

[tex]c \times r = 55[/tex]

Where [tex]c[/tex] represents the number of chairs per row and [tex]r[/tex] representes the number of rows.

The second given statment defined a second equation

[tex]r=2c+1[/tex]

Now, we can substitute the second equation into the first one, and solve

[tex]c \times r = 55\\c (2c+1)=55\\2c^{2}+c-55=0[/tex]

Which can be factored by multiplying the expression by 2, and solve has a perfect trinomial

[tex]2(2c^{2}+c-55)=0\\2^{2}c^{2}+2c- 110=0\\(2c)^{2}+2c-110=0[/tex]

So, we need to find two number which product is 110 and is 1. If you think this through, those numbers are 11 and 10, because 11*10=110 and 11-10=1.

The factors are

[tex]\frac{(2c+11)(2c-10)}{2} =0[/tex], we have to divide by the number we multiplied before, then we simplify this number with the second factor

[tex](2c+11)(c-5)=0[/tex]

Where the positive solution is the only one that can be part of the answer because it doesn't make sense if we say -3 chairs. So,

[tex]c-5=0\\c=5[/tex]

This means there are 5 chairs per row.

Then, we use this value to find the other one.

[tex]c \times r=55\\5 \times r=55\\r=\frac{55}{5}\\ r=11[/tex]

Therefore, there are 11 rows and 5 chairs per row.

You can substitute a number in for x and compare the answer choices (not the most efficient way but it's how I would do it). Let's just say x = 5. Then the expression would equal 0.25819889. Substitute 5 in for x is the answer choices and see which one is the same.

A) simplified is 0.004 repeating

B) simplified is 0.25819889

C) simplified is 0.12

D) simplified is 1.341640786

We can see that B is the right answer

Answer:

7x^(2)-3x+8

Step-by-step explanation:

(5x^(2) - 3x - 2) - (-2x^(2) - +10)

(5x^(2))- (-2x^(2))=7x^(2)

(- 2)-(+10)=+8

7x^(2)-3x+8

Final answer:

To subtract (-2x² + 10) from (5x² - 3x - 2), change the signs of the second polynomial and combine like terms. The final result is 7x²- 3x - 12.

Explanation:

The question asks to subtract one polynomial from another, specifically to subtract (-2x²+ 10) from (5x² - 3x - 2). The subtraction of polynomials involves changing the signs of the polynomial being subtracted and then combining like terms. The process will be as follows:

First, change the signs of the second polynomial: -(-2x²) becomes +2x², and -(+10) becomes -10.

Then, combine the like terms with the first polynomial: (5x² + 2x²) becomes 7x², -3x stays the same as there are no like terms, and (-2 - 10) becomes -12.

Therefore, the answer in standard form is 7x²- 3x - 12.

Answer: A is not true

Step-by-step explanation: This is because a rule of dilation. If you dilate an object, then the angle will stay the same. thus, statement A is false.

Answer: For every customer, Fred fills 7 bags of groceries.

Answer:

The correct answer is : 'For every customer, Fred fills 7 bags of groceries'.

Step-by-step explanation:

Number bags filled by Fred for every 3 customers = 21 bags

Number bags filled by Fred for 1 customer = [tex]\frac{21 bag}{3}=7 bag[/tex]

So, 7 bags were filled for every customer.

The rate of change will be represented by 7 bags for each customer.

From the given option the correct statement is ;

For every customer, Fred fills 7 bags of groceries.

Answer with step-by-step explanation:

We know that the formula for area of a circle is given by:

Area of a circle = [tex] \pi r ^ 2 [/tex]

So to find the area of circle, we basically need to know the radius of the circle.

If we know the circumference of the circle, we can calculate the area of the circle too.

Formula for the circumference of the circle is given by:

[tex]2\pi r[/tex]

So if we know the circle's circumference, we can find the value of radius and then find the area of circle with it.

Answer:

We can calculate area of circle if we know the circumference

Step-by-step explanation:

Points to remember

`1). Circumference of circle = 2πr

2).  Area of circle = πr²

Where 'r' is the radius of circle

Find area of circle

From the above two equations we have to calculate area and circumference of a circle with radius.

If we have circumference, the we can calculate radius of the circle

r = circumference/2π

If we get radius 'r' the we can calculate area

Area of circle = πr²

Answer:

15 and 25

Step-by-step explanation:

First find 120-35=85

so 100-?=85 so ?=15

and 60+?=85 so ?=25

Answer: 120-35= 100 - 15 = 60 + 25

Step-by-step explanation:

You are just trying to make them all equal to 85 because the original sum of 120-35 is 85. so you are setting the rest of the equations to 85 as well.

Answer:

option (c)

42 minutes

Step-by-step explanation:

Given in the question:

cruising speed of passenger plane = 570 miles/hour

distance passenger plane travelled = 400 miles

distance = speed x time

time = distance / speed

time = 400 / 570

       = 0.7018 hours

1 hour = 60 minutes

228000 hours = 60 x 0.7018 minutes

                         = 42.1052 minutes

                         ≈ 42 minutes

Closest to the length of time, in minutes, that Captain Tellez's plane will maintain cruising speed is 42 minutes.

Answer:

6 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (- 7, - 5)

d = [tex]\sqrt{(-7+7)^2+(-5-1)^2}[/tex]

  = [tex]\sqrt{0+(-6)^2}[/tex] = [tex]\sqrt{36}[/tex] = 6 units

Final answer:

The distance between the points (-7, 1) and (-7, -5) on the coordinate plane is 6 units, calculated by the absolute difference in their y-coordinates.

Explanation:

The distance between the points (-7, 1) and (-7, -5) on the coordinate plane can be found by calculating the difference in their y-coordinates. Since the x-coordinates are the same, the points lie on a vertical line, and the distance is simply the absolute difference in the y-coordinates.

The calculation would be: distance = |y2 - y1| = |-5 - 1| = | -6 | = 6 units

Therefore, the distance between the two points is 6 units.

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (10, 5) and (4, -7). Substitute:

[tex]m=\dfrac{-7-5}{4-10}=\dfrac{-12}{-6}=2[/tex]

[tex]y-5=2(x-10)[/tex]

Answer:

Every time you multiply by 10, you move all the digits one place to the left. You could also think about so that the decimal point moves one place to the right.

Step-by-step explanation:

Answer: The answer to the problem is 37.2

Step-by-step explanation: When you are multiplying a number by 10 you need to move the decimal point one place to the right. 3.72 x 10 = 37.2.

This line is in slope intercept form y = mx+b

Since we can write it as y = (-5/3)x + 0

m = -5/3 is the slope

b = 0 is the y intercept

The two points (0,0) and (3,-5) are on the straight line.

One centimenter is 0.01 meters. So, you can write the measures as

[tex] 152.40\text{m},\quad 205.10\text{m},\quad 310.39\text{m}[/tex]

Once this rewriting is done, getting the total length [tex]T[/tex] is quite trivial, since all measurements are in the same unit, and we can simply sum everything:

[tex]T = 152.40+205.10+310.39 = 667.89[/tex]

Answer: The correct answer is 85%

Step-by-step explanation:

If you divide 17 by 20 then you'll get 0.85 which is the same as 85%.

* Hopefully this helps:) Mark me the brainliest:)!!!

Claire got 85% of the questions correct on her vocabulary quiz by answering 17 out of 20 questions correctly.

Claire got 17 out of 20 questions correct on her vocabulary quiz. To calculate the percentage of questions Claire got right, you would use the following formula:

Percentage Correct = (Number of Correct Questions \/ Total Number of Questions) x 100%

Applying Claire's numbers to this formula:

Percentage Correct = (17 \/ 20) x 100% = 0.85 x 100% = 85%

Therefore, Claire got 85% of the questions correct on her quiz. This is a high percentile, which indicates she did very well, considering that seventy percent of students answered 16 or fewer questions correctly and thirty percent of students answered 16 or more questions correctly. A higher percentile is generally considered good, as it means answering more questions correctly, which is desirable.