For each set of measurements, decide wether or not possible to draw a triangle with those measurements. If it is possible, draw the triangle.

HELP MEEE

Answer:

80 + 18i

Step-by-step explanation:

i² = -1

x = i + 9

x² = (i + 9)²

Applying; (a + b)² = a² + 2ab + b² concept,

x² = i² + 18i + 81

We know that i² = -1

So x² = -1 + 18i + 81

x² = 81 - 1 + 18i = 80 + 18i

The square of the complex number x = i + 9 is computed by squaring each term and combining the results, giving us 80 + 18i as the final squared value.

To square the complex number x = i + 9, we use the formula for squaring a binomial:

Square the first term: i² = -1.

Square the second term: 9² = 81.

Multiply the first term by the second term and by 2 for the middle term: 2 times i times 9 = 18i.

Sum all the terms together -1 + 81 + 18i = 80 + 18i.

So, the result of squaring x is 80 + 18i.

Answer:

[tex] \dfrac{y}{2} [/tex]

Step-by-step explanation:

The LCD of 13 and 26 is 26.

[tex] \dfrac{3y}{13} + \dfrac{7y}{26} = [/tex]

[tex] = \dfrac{2 \times 3y}{2 \times 13} + \dfrac{7y}{26} [/tex]

[tex] = \dfrac{6y}{26} + \dfrac{7y}{26} [/tex]

[tex] = \dfrac{13y}{26} [/tex]

[tex] = \dfrac{y}{2} [/tex]

Answer: Hello there!

we know that on Tuesday, Jennie finished her sprint 0.305 seconds faster than on Monday, and we want to model this with math.

If we define x as the time in which she finished ger sprint on Monday, we can write the time for Tuesday as x - 0.305s

this is because she finished her sprint 0.305 seconds "faster", this means that she finished it in less time, so you need to subtract this number to the previous time.

Then the meaning of 0.305 is the amount of time that you need to subtract from the previous time, in order to get the actual time that she needs to finish the sprint.

Answer:

4.59

Explanation:

1.38 + 2.01 = 3.39

1.2 = 1.20

3.39 + 1.20 = 4.59

Answer:

5.5! Now, you need to know why. The total cost was $490, there is a fee of $50, so subtract the fee from the total cost and you should  then divide that by $80 because thats how much it is an hour.

The actual equation should be 80x + 50 = 490, not 80x - 50 = 490. By solving it, we find out that the job took 5.5 hours to complete.

The given equation in the problem is incorrect. It should be 80x + 50 = 490, where x represents the number of hours the plumber worked. This equation accounts for the hourly charge (80x) and the upfront flat fee ($50). To solve for x, we begin by isolating it on one side of the equation. We subtract 50 from both sides to get 80x = 440. Then we divide both sides by 80, resulting in x = 5.5. Therefore, the plumber worked for 5.5 hours on this particular job.

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The cost of each bottle of mineral water is $0.87.

To find the cost of each bottle of mineral water, we need to divide the total cost of the case by the number of bottles in the case. A case contains 2 boxes and each box contains 4 bottles, so there are 2 x 4 = 8 bottles in a case. The cost of a case is $6.96, so the cost of each bottle is $6.96 divided by 8, which equals $0.87.

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The cost of each bottle of mineral water is $0.87.

To find the cost of each bottle of mineral water, we need to divide the total cost of the case by the number of bottles.

The case of mineral water contains 2 boxes, and each box contains 4 bottles.

So, the total number of bottles in the case is 2 x 4 = 8.

Since the cost of the case is $6.96,

we can divide it by the number of bottles to find the cost of each bottle: $6.96 / 8 = $0.87.

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Answer: A,B,E

Step-by-step explanation:

Answer:

Option 1,2 and 5 represent a perfect square monomial and its square root.

Step-by-step explanation:

To find : Which expressions represent a perfect square monomial and its square root? Check all that apply.

Solution :

1) 121, 11

As [tex](11)^2=121[/tex]

This expression represents a perfect square monomial and it’s square root.

2) [tex]4x^2,2x[/tex]

As [tex](2x)^2=4x^2[/tex]

This expression represents a perfect square monomial and it’s square root.

3) [tex]9x^2-1,3x-1[/tex]

As [tex](3x-1)^2=9x^2+1-6x[/tex]

This expression does not represents a perfect square monomial and it’s square root.

4) [tex]25x,5x[/tex]

As [tex](5x)^2=25x^2[/tex]

This expression does not represents a perfect square monomial and it’s square root.

5) [tex]49x^4,7x^2[/tex]

As [tex](7x^2)^2=49x^4[/tex]

This expression represents a perfect square monomial and it’s square root.

Therefore, Option 1,2 and 5 represent a perfect square monomial and its square root.

Applying the triangle sum theorem, the value of x is: A. 28°.

Thus:

x = 180 - 95 - 57

x = 28°

Therefore, applying the triangle sum theorem, the value of x is: A. 28°.

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Answer:

28° or A

Step-by-step explanation:

Let's find x:

What information do we have to help us?

Information:

- Angle 1 = 95°

-Angle 2 = 57°

- Triangle

Using this information, we can solve for x.

A triangles sides all add up to 180°.

That is because it is half of a square and a squares sides all add up to 360°.

Let's make an algebraic equation.

95 + 57 + x = 180

Simplify.

152 + x = 180

Cancel out 152 by subtracting 152 from each number.

152 - 152 = 0

180 - 152 = 28

Plug into the equation.

x = 28°

The value of x is 28°.

That matches choice A.

Answer:

4 + 5x = x - 2

Answer:

4 + 5x = x - 2

x=-1.5

Step-by-step explanation:

4 + 5x = x - 2

subtract 4 from both sides (or add negative whichever you prefer)

5x=x-6

now subtract x from both sides

4x=-6

now divide by 4

x=-1.5

Answer:

5b-5

Step-by-step explanation:

When doing these kinds of problems you want to do dributive property which means you multiply whatever number is outside of the (), which is 5, and multiply that by b and 1.

when numbers are outside the () and right next to them without anything like +,-, or a division sign, it means to multiply.

In order to find the answer to this question you will have to simplify using the distributive property.

[tex]5(b-1)[/tex]

Applying the distributive property:

[tex]5b+5\times-1[/tex]

[tex]5\times-1=-5[/tex]

[tex]5b-5[/tex]

Therefore the answer is "5b-5."

Hope this helps.

Answer:

Difference between high and low temperatures: 12°F

Average change in temperature per hour: 2°F

Step-by-step explanation:

The difference between high and low temperatures was: 7 - (-5) = 12 (°F)

Midnight is 12am, so 6pm to midnight is 6 hours.

The average change in temperature per hour is: 12 / 6 = 2 (°F)

The surface would be 0.

First it dives 462:

0 - 462 = -462 feet,

It then climbs 250:

-462 + 250 = -212

The submarine is at -212 feet. ( 212 feet below the surface.)

Answer:No

Step-by-step explanation: Integers are whole numbers that can be positive or negatives no decimals or fractions.

Answer:

D

Step-by-step explanation:

4/6 reduced is d

Answer:

16

Step-by-step explanation:

Follow the correct order of operations.

4 * 3 - (24 divided 6) + 8 =

Parentheses first.

= 4 * 3 - 4 + 8

Now, the multiplication.

= 12 - 4 + 8

Now additions and subtractions in the order they appear from left to right.

= 8 + 8

= 16

12 inches= 1 foot

We have 4 feet

12*4=48

Therefore 48 cubic inches is the answer

Hope this helps!!!

A hot tub pump that circulates 4 cubic feet of water per minute circulates 6912 cubic inches of water per minute, as 1 cubic foot equals 1728 cubic inches.

This question involves a conversion from cubic feet to cubic inches. 1 cubic foot is equivalent to 1728 cubic inches. Therefore, if the hot tub pump circulates 4 cubic feet of water per minute, we need to multiply 4 by 1728 to find out how many cubic inches that would be.

Using the multiplication rule for units, we get:

4 cubic feet x 1728 cubic inches/cubic foot = 6912 cubic inches

Therefore, the hot tub pump circulates 6912 cubic inches of water per minute>.

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Answer: 32÷4+3=11

Step-by-step explanation:

24÷3=8

Answer:

No

Step-by-step explanation:

The reflection (R) around the line y = 1 is not the point illustrated.

Notice that the original point M (5,-2) is THREE (3) units below the line y=1, therefore when doing the reflection, it should end up THREE units above the y=1 line.

That is, it should end up at the point (5,4 ) and not at (5,3) as is shown in the picture.

Answer:

100 i think im not sure but i think its 100

Step-by-step explanation:

im not  dat good at math either

Answer: The 3 in 17,235 is in the tens digit and the 3 in 17,352 is in the hundreds digit

Answer:

Step-by-step explanation:

-(10)^-2 = -1/ 10² = -1/ 100

10² - 1/10² =100 - (-1/100 ) = 100+ 1 /100 = 9999/100

Answer:

39. 29

36. 50

33. 7

30. 33

Step-by-step explanation:

39. According to the Order of Operations, in this case, Subtraction & Addition are evaluated after Division & Multiplication:

[tex]6 \times 4 + 5 = 24 + 5 = 29[/tex]

36. Evaluate everything since everything is wrapped in parentheses:

[tex](3 + 2) \times (4 + 6) = 5 \times 10 = 50[/tex]

33. Evaluate everything inside of parentheses FIRST:

[tex]14 - (8 - 2) - 1 = 14 - 6 - 1 = 7[/tex]

I am joyous to assist you anytime.

Answer:3^3 (3 to the 3rd power) which is equal to 27 cubic ft.

Step-by-step explanation:

3x3x3=3^3

3^3=27

Answer:

Option A.

Step-by-step explanation:

Draw a number line from negative 5 to positive 5 with increments of 0.5. Make an empty circle on the first mark to the left of 0. It means mark an open circle at -0.5.

The region to the left of the empty circle is shaded. It means all the points lie on the left side of -0.5 at in the shaded region.

We need to find a statement that explains whether −1.5 can be a value in the shaded region.

Since −1.5 lies to the left of −0.5 , therefore -1.5 is in the shaded region.

Therefore, the correct option is A.

Answer:

C.)

Step-by-step explanation:

You have to use the line graph!

Please try to resist cheating and do the work!

Answer:

D. x² + y² = 4²

Step-by-step explanation:

The general equation of a circle is given in the attached  graphic.

In this case, we can see that the center of the circle is at the origin i.e (0,0) and that the radius is 4 units.

the values for h, k and r in the general equation are as follows:

h = 0, k=0, r = 4

putting this into the general equation:

(x-h)² + (y-k)² = r²

(x-0)² + (y-0)² = 4²

x² + y² = 4²

The equation of the circle centered at the origin with a radius of 4 is:

x² + y² = 4².

Option D is the correct answer.

We have,

The equation of a circle centered at the origin (0, 0) with a radius of 4 can be written in the form:

[tex]x^2 + y^2 = r^2[/tex]

where (x, y) represents any point on the circle and r is the radius.

Substituting the given radius of 4 into the equation, we have:

x² + y² = 4²

x² + y² = 16

Therefore,

The equation of the circle centered at the origin with a radius of 4 is:

x² + y² = 4².

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Answer:

They spend $33.

Step-by-step explanation:

multiply 7.50x2=15   and multiply 9.00x2=18. Then add 15+18=33.

Answer: x = z/(m-1).

Step-by-step explanation: xm - x = z

x (m - 1) = z ; x = z/(m-1).

Answer:

the answer is 0

Step-by-step explanation:

i only have the answer

-32v I did the expression and I got -32v. This is a better answer than the other guy.