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Ad libitum [116K]
2 years ago
7

The leg lengths of a right triangle are 4 cm and 6 cm. What is the length of the missing side?

Mathematics
1 answer:
iren [92.7K]2 years ago
5 0

Answer:

Step-by-step explanation:

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A certain circle can be represented by the following equation. x2 + y2 + 10x + 12y + 25 = 0. What is the center of this circle?
Zigmanuir [339]

Let's try to complete the squares.

The x-part starts with x^2+10x, which is the beginning of x^2+10x+25=(x+5)^2. So, we'll think of x^2+10x as (x+5)^2-25

Similarly, we have that

y^2+12y = (y+6)^2-36

So, the equation becomes

x^2 + y^2 + 10x + 12y + 25 = 0 \iff (x+5)^2-25 + (y+6)^2-36+25=0 \iff (x+5)^2+ (y+6)^2-36=0 \iff (x+5)^2+ (y+6)^2=36

Now we have writte the equation of the circle in the form

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

When the equation is in this form, everything is more simple: the center is (k,h) and the radius is r.

7 0
3 years ago
Read 2 more answers
The prism shown has a volume of 35 cm.
Vesna [10]

Answer:

1.25cm

Step-by-step explanation:

<em>Complete question:</em>

The prism has a volume of 35 cm cubed  workout h, the height of the triangular cross section

<em>length=7cm</em>

<em>width = 4cm</em>

<em></em>

The volume of the prism is expressed as;

Volume = Base Area * Height

Given

Volume of the prism = 35cm^3

Base Area = length * width

Base Area =  7cm * 4cm

Base Area = 28cm^2

Substitute the given values into the formula

35 = 28* Height

Cross multiply

35 = 28 * Height

35 = 28 Height

Height = 35/28

Height = 1.25cm

Hence the height of the triangular cross section is 1.25cm

7 0
3 years ago
Which shows how to rewrite 4 x 47<br> using the Distributive Property?
mash [69]

Answer:

C

Step-by-step explanation:

Something that is 17 more than r means that it is r + 17.

Therefore, the answer is C, r + 17.

<em>Hope that helps!</em>

<em>-Sabrina</em>

6 0
3 years ago
Put 5x – 6y = 12 in slope intercept form
Ede4ka [16]

Answer:

  y = 5/6x -2

Step-by-step explanation:

Subtract 5x and divide by -6:

  -6y = -5x +12 . . . .subtract 5x

  y = 5/6x -2 . . . . . divide by -6

6 0
3 years ago
Find the area of the triangle with A =63°, b = 9 feet, and c =7 feet. Round to the nearest tenth.
evablogger [386]
The answer should be 90
4 0
3 years ago
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