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2 years ago

Which addition problems could be solved by adding 40+15?

Mathematics

1 answer:

Marysya12 [62]2 years ago

7 0

Answer:

Total amount of fruits

40 apples and 15 oranges

Step-by-step explanation:

Is there answer choices? Without context I will suggest

Total amount of fruits

40 apples and 15 oranges

Anything with 40 being added to an amount of 15 to get a total of 55

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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

Equation of a Circle

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

2 years ago

What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.

Ugo [173]

I believe the correct answers are:

UV = 14 ft and m∠TUV = 45°
ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Or, in other words, Options A and D.

6 0

3 years ago

Read 2 more answers

Identify the contrapositive of the following statement. If x = 2, then x + 3 = 5.

antiseptic1488 [7]

Answer:

If x + 3 ≠ 5, then x ≠ 2 thus b: is your Answer

Step-by-step explanation:

4 0

3 years ago

Pls help me plssssssssss

MariettaO [177]

Step-by-step explanation:

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2 years ago

Kevin can travel 22 1/2 miles in 1/3 hour. What is his average speed in miles per

finlep [7]

67.5 as distance = rate x time
So rate would equal distance / time
Rate = 22.5 miles / 1/3 hour
Rate = 67.5 mph

5 0

2 years ago