A piece of string is hung from the points (-6,3) and (6,3) in the plane so that it hangs “down” (in the -y direction) to just touch the origin as it’s vertex. How high above the x axis is the string over x=2

Answers

Answer 1

Answer:

Step-by-step explanation:

eq. of line through (0,0) and (6,3)

[tex]slope=\frac{3-0}{6-0} =\frac{1}{2} \\y-0=\frac{1}{2} (x-0)\\y=\frac{1}{2}x\\when~x=2\\y=\frac{1}{2}*2=1[/tex]


Related Questions

There are 25 bananas that will be cut and divided evenly between 4 loaves of bread. How many bananas go into each loaf? Choose the correct answer from the choices below.

6 3⁄4 bananas per loaf

6 1⁄4 bananas per loaf

5 3⁄4 bananas per loaf

5 1⁄4 bananas per loaf

5 1⁄2 bananas per loaf

Answers

Answer: 6 1/4

Step-by-step explanation: 25 divided by 4 = 6 1/4

On a random Monday in the spring, 95% of students are present at school. If there are 589 students present, then how many total students are enrolled? ​

Answers

Answer:

620

Step-by-step explanation:

A new species of fish is released into a lake, and the fish multiply quickly. The growth of their population is modeled by the exponential function P(t) = 7bt, where t is the time in weeks after the release and b is a positive unknown base. According to the model, how many fish of the new species were released initially? A) 2 B) 7 C) 12 D) 14

Answers

The initial amount of fish released would be the number shown in the equation.

The answer is 7

Final answer:

The initial number of fish released into the lake is 7, which is calculated by substituting t = 0 into the provided exponential growth function, P(t) = 7bt.

Explanation:

The growth of the fish population in the lake is modeled by the exponential function P(t) = 7bt, where t is the time in weeks after the release, and b is a positive unknown base. To find out how many fish were released initially, we need to consider the population at time t = 0. When we substitute t = 0 into the exponential function, we get P(0) = 7b0, and since any number raised to the power of 0 is 1, P(0) = 7. Therefore, the initial number of fish released was 7.

What is the total weight of Trail Mix used in all bags

Answers

Final answer:

To find the total weight of trail mix used in all bags, more information is needed.

Explanation:

To find the total weight of trail mix used in all bags, we need more information. The information provided in the question does not mention the weight of trail mix or the number of bags. Without this information, we cannot calculate the total weight.

Aaron invest $50 each month for 9 months in an account that pays 7.5% APR compounded monthly. What is the future value of Aaron's account after 9 months?

Answers

Answer: 461.45 APEX

Step-by-step explanation:

Answer:

its is $461.45

Step-by-step explanation:

Janelle ate 82% of the pie. What fraction of the pie remained? help meee

Answers

Answer:

There is 18% left of the pie.

Step-by-step explanation:

There is only 100% of a pie. If she at 82% then there is 18% left. 100-82=18

Answer:

9/50

Step-by-step explanation:

for a percentage to turn into a fraction all u have to do put the percent over 100 so in this case first subtract total 100-82= 18% so then 18/100 simplified it would be 9/50

Which best describes the function on the graph?

A. direct variation; k = 3
B. direct variation; k = 1/3
C. inverse variation; k = 3
D. inverse variation; k = 1/3

Answers

Answer:A i think

Step-by-step explanation:

Answer:

B. Direct Variation: k = 1/3

Step-by-step explanation:

Your Welcome

who ever answers right will get Brainlyeist!!!!! PLEASE HELP ME OUT!!!

3. Find the area of the triangle.

A. 21.2 in
B. 10.5 in
C. 21 in
D. 42 in​

Answers

Answer:

  C.  21 in² . . . . your answer selection is correct.

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = 1/2bh

where b represents the base of the triangle, and h represents the height of the opposite vertex above that base.

The figure shows you that half the base is 3 in and the height is 7 in, so the area is ...

  A = (1/2b)h = (3 in)(7 in) = 21 in² . . . . matches choice C

If the weight of a package is multiplied by 2/3 the result is 40 pounds. Find the weight of the package.

Answers

all you do is divide 40 by 2/3 to get the answer :D

Answer: Weight is 60

Explanation:

So lets look at what we are given:

w (weight) * 2/3 = 40 pounds

(short explanation is you times 40 by 3/2)

We want to solve for weight there are a few ways to do this but the easiest one is to times both sides of the equation by the reciprocal of 2/3. Which is 3/2. That will cancel our the 2/3 and leave only "w" on the left side.

w = 40 * 3/2

What is the area of this figure?

Enter your answer in the box

Answers

area of box : 18*18, which is 324

area of larger triangle : 18*16/2 which is 144

area of larger triangle : 8*16/2 which is 64

add them all to get 532

two equivalent fraction for 3/12​

Answers

9/36 and 1/4 because you and divide and multiple those

Answer:

1/4 and 6/24

Step-by-step explanation:

3 divided by 3 equals 1. So then you have to do the same for the denominator. 12 divided by 3 equals 4. And you get 1/4.

Another is 3 x 2 = 6 and 12 x 2 = 24. 6/24

Of the 15 year olds at karate school 8 have black belts in 20 had Brown belts among 16 year olds 10 have black belts in 17 have Brown belts. which age group has a higher ratio of black belts to Brown belts

Answers

Answer:

16 year olds had the higher ratio of black belts to brown belts.

Step-by-step explanation:

15 year olds: 8/28 students had black belts

8/28 = 28.6% had black belts

16 year olds: 10/27 students had bald belts

10/27 = 37.0% had black belts

Given the following geometric sequence, find the common ratio: {16, 64, 256, ...}.

Answers

Answer:

The common ratio is 4

Step-by-step explanation:

We need to divide a term by the previous term to find the common ratio in a geometric sequence:

64 ÷ 16 = 4

256 ÷ 64 = 4

By doing it twice we can confirm that the common ratio is 4

Given the following geometric sequence, the common ratio would be 4.

Simplify the expression. 5–3 • 7^0

Answers

Answer:

5-3x7^0

(5-3)7^0

2x1

2

Step-by-step explanation:

7^0 is 1

and do you want to chat

Answer:

5-3 x 7^0

5-3 x 0

5-0

5

Step-by-step explanation:

I cannot type a dot so x is multiply. PEMDAS so take care of your exponent first 7^0=0. Now we have 5-3 x 0 so your next step is multiplication take 3 x 0= 0. Now you have 5-0, and 5-0= 5

The circumference of a circle is about 37.7 cm and the diameter is about 12 cm. What expression best represents the value of π?



6/37.7

37.7/12

37.7/6

12/37.7​

Answers

Answer:

The best expression represents the value of π is  [tex]\frac{37.7}{12}[/tex] ⇒ 2nd answer

Step-by-step explanation:

π is the ratio between the circumference of the circle and the length of its diameter

[tex]\frac{C}{d}=\pi[/tex] , where

C is the circumference of the circled is the diameter of the circle

∵ The circumference of the circle is about 37.7 cm

∵ The diameter of the circle is about 12 cm

- Find the ratio between them

∴ [tex]\frac{C}{d}=\frac{37.7}{12}[/tex]

∵ [tex]\frac{C}{d}=\pi[/tex]

- Equate the two right hand sides

∴  [tex]\frac{37.7}{12}=\pi[/tex]

The best expression represents the value of π is  [tex]\frac{37.7}{12}[/tex]

If the angular size of a tree at a distance of 0.5 miles is 1/2, how tall is the tree

Answers

The tall of the tree is 23.048 ft.

Solution:

Given data:

Angular size of a tree =  [tex]\left(\frac{1}{2}\right)^{\circ}[/tex]

Distance = 0.5 miles = 2640 feet

To find the tall of the tree:

Formula to calculate the height of the tree is

[tex]$\text{Physical size}= \text{Angular size}\times\frac{2\pi\times \text{distance}}{360^{\circ}}[/tex]

                    [tex]$ = \left(\frac{1}{2}\right)^{\circ}\times\frac{2\pi\times 2640}{360^{\circ}}[/tex]

                    [tex]$ = \left(\frac{1}{2}\right)^{\circ}\times\frac{44\pi}{3^{\circ}}[/tex]

                    [tex]$ = 23.048[/tex]

Physical size = 23.048 ft

Hence the tall of the tree is 23.048 ft.

what did the beaver say to the tree​

Answers

Answer:

It’s been nice gnawing you

Step-by-step explanation:

Final answer:

While beavers don't 'speak' to trees in human terms, they interact with them by using their teeth to fell trees for food and building materials.

Explanation:

The question, 'what did the beaver say to the tree?', is somewhat humorous due to its anthropomorphic implication of a beaver communicating with a tree in human language. But, from a biological perspective, we could interpret this as asking about the interactions between beavers and trees. Beavers, as known dentition specialists, utilize trees for building dams and lodges and as a source of food. So, if a beaver could 'speak', it might 'tell' the tree that it's hungry, or that it needs materials for its dam. Of course, this is all figuratively speaking.

Learn more about Beaver-Tree Interaction here:

https://brainly.com/question/28678269

#SPJ2

At the mall you spent a total of $170.86 if you bought two pairs of jeans for $39.95 each a jacket for $45.99 and shirts for

Answers

A total of $170.86 will be spent if you buy shirts for $44.11

Step-by-step explanation:

Step 1:

Let the cost of shirts be $x.

Given that, one pair of jeans costs $39.95, 2 pairs cost 2 * $ 39.95 which is $79.9. Jacket costs $45.99.

Step 2:

Create an equation with this given data.

$170.86 = $x + $79.9 + $45.99

Step 3:

Calculate the value of x from this equation to get the cost of shirts.

$170.86 = $x + $125.89

$x = $170.86 - $125.89

$x = $44.11

factor this expression completely. 18x^2 - 32

Answers

Answer:

2(3x - 4)(3x + 4)

Step-by-step explanation:

Factorizing the below expression requires factoring common term.

[tex]18 {x}^{2} - 32[/tex]

Obviously 2 is common to both 18 and 32. Thus, the answer is:

[tex] = 2(9 {x}^{2} - 16)[/tex]

=2(3x - 4)(3x + 4)

Answer:

the answer above was a little confusing to me so i thought i would just give the answer straight up: 2(3x+4)(3x-4)

Step-by-step explanation:

just did the test! :)

Solve each system by elimination.
3) 9x - 5y = 13
- 4x + 5y = 22​

Answers

Answer:

x=7, y=10. (7, 10).

Step-by-step explanation:

9x-5y=13

-4x+5y=22

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

5x=35

x=35/5

x=7

9(7)-5y=13

63-5y=13

5y=63-13

5y=50

y=50/5

y=10

Select is a subset of or is not a subset of for the blank so that the resulting statement is true.

​{ 1​, 3​, 5 ​} ___​ { ​1, 2,​ ..., 10 ​}

Answers

Answer:

Step-by-step explanation:

Subset(1,3,5) because it is found in another set.

not subset(2,4,6,7,8,9,10) they are not found in the other set.

What is X plus 11 equals 15

Answers

Do 15-11 and x fill equal what you get

Answer:

X plus 11 equals 15 is 4. X equals 4.

Step-by-step explanation:

X + 11 = 15

4 + 11 = 15

X = 4

to find X you needed to subtract 11 from 15 and what you got would be X

What is the approximate area of the circle shown? Use 3.14 to approximate pi. Round your answer to the nearest hundredth.


Answers

Answer:

[tex]A=153.86\ cm^2[/tex]

Step-by-step explanation:

we know that

The area of a circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=14/2=7\ cm[/tex] ----> the radius is half the diameter

substitute

[tex]A=(3.14)(7)^{2}=153.86\ cm^2[/tex]

Answer:

C

Step-by-step explanation

THE ANSWER IS C

2 with an exponent of -2

Answers

Answer:

0.25

Step-by-step explanation:

2^-2=0.25

4/6 x - 6 = - 24
Solve for X

Answers

Answer:

-27

Step-by-step explanation:

4/6x-6=-24

+6 +6

4/6x=-18

6/4×4/6x=-18×6/4 ->multiply by reciprocal to get rid of x

x=-108/4

x=-27

Simplify 4/6x to 2/3x.
2/3x-6=-24.
Add 6 to both sides. 2/3x=-18.
Multiply both side by 3x. 2=-54x
Then divide both sides by -54x. -2/54=x
Simplify -2/54 to -1/27.
So x=-1/27

Ten identical slips of paper each contain one number from one to ten, inclusive. The papers are put into a bag and then mixed around.

Which statements about the situation are true? Check all that apply.

P(6) = P(1)
P(5) = One-half
P(>10) = 0
P(1 < x < 10) = 100%
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
If A ⊂ S; A could be {1, 3, 5, 7, 9}

Answers

Answer: A, C, E, F

Step-by-step explanation:

Answer: A, C, E, F

Step-by-step explanation:

Which of the following does NOT describe a control group?

Answers

Answer:

D. a group of trees not given a new growth hormone

Step-by-step explanation:

Because everything is controlled I think

In the translation T of the graph below, use the figure to describe the following transformation. T -2 : (x, y)

(x - 9, y- 1)
(x - 6, y - 2)
(-2x - 6, -2y - 2)

Answers

See the explanation

Explanation:

You haven't provided any figure, so I could help you in a general way providing my own figure which is attached below. In order to illustrate transformations, let's choose the third one:

[tex]T:(x - 6, y - 2)[/tex]

For this transformation, every point on the original figure is translated 6 units to the left and 2 units down. So quadrilateral ABCD is transformed into quadrilateral EFGH as follows:

[tex]A(10,4) \\ \\ B(14,2) \\ \\ C(14,6) \\ \\ C(10,-2) \\ \\ \\ E \rightarrow (10-6,4-2) \rightarrow (4,2) \\ \\ F \rightarrow (14-6,2-2) \rightarrow (8,0) \\ \\ G \rightarrow (14-6,6-2) \rightarrow (8,4) \\ \\ H \rightarrow (10-6,-2-2) \rightarrow (4,-4)[/tex]

Learn more:

Shifting graphs: https://brainly.com/question/10010217

#LearnWithBrainly

Answer:

The answer is (x - 6, y - 2)

Step-by-step explanation:

For this transformation, every point on the original figure is translated 6 units to the left and 2 units down. So quadrilateral ABCD is transformed into quadrilateral EFGH as follows:

How do you do this question?

Answers

Answer:

x={1,2,3}

Step-by-step explanation:

The given inequality is

[tex]1 \leqslant \frac{6x - 1}{3} \: < \: 7[/tex]

We multiply through by the LCM of 3 to get:

[tex]3\leqslant 6x - 1\: < \: 21[/tex]

We add 1 to both sides to get:

[tex]3 + 1\leqslant 6x \: < \: 21 + 1[/tex]

[tex]4\leqslant 6x \: < \: 22[/tex]

Divide through by 6 to get:

[tex] \frac{4}{6} \leqslant x \: < \: \frac{22}{6} [/tex]

This gives us:

[tex]\frac{2}{3} \leqslant x \: < \: \frac{11}{3} [/tex]

[tex]0.67 \leqslant x \: < \:3.67[/tex]

Since x is an integer, the possible values are:

x={1,2,3}

Which step is included in the graph of the function f(x)=[x-1]? (the brackets are ceiling functions symbols)

Answers

Answer:

The correct step is y = - 5 for, - 4 ≤ x < - 3.

Step-by-step explanation:

From the definition of a box function y = [x], we know that

y = 0 for, 0 ≤ x < 1

y = - 1 for, - 1 ≤ x < 0

y = - 2 for, - 2 ≤ x < - 1

Here, we are given another box function y = [x - 1], and we have to choose from options the steps which is included in the graph of the this function.

So, the correct step is y = - 5 for, - 4 ≤ x < - 3. (Answer)

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