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AVprozaik [17]
3 years ago
15

Which graph represents the equation 12 = 32 + 4y? Explain how you know.

Mathematics
1 answer:
sergeinik [125]3 years ago
6 0
What graph?
BTW the answer to that equation is: x=5
12=32+4y
12-12= 0 (cancels out)
32-12= 20
20 divided by 4= 5
Therefore, x=5
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The hypotenuse of a 45°-45°-90° triangle measures 4 cm. What is the length of one leg of the triangle? 2 cm 2 StartRoot 2 EndRoo
Oxana [17]

Answer:

2\sqrt{2} cm

Step-by-step explanation:

In order to solve this you just have to remember the formula for the sides and hypotenuse of the triangle rectangle:

c^{2} =a^{2} +b^{2}

Since A and B are equal we will use X to represent them both:

c^{2} =a^{2} +b^{2}\\4^{2} =x^{2} +x^{2}\\16 =2x^{2}\\8=x^{2} \\x=\sqrt{8}=\sqrt{4*2}=2\sqrt{2}

ANd by solving the equation we get that the length of the legs of the triangle rectangle with a hypotenuse of 4cm is 2\sqrt{2} cm

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Mark can clean his father's office in 30 minutes. His younger sister Lynn can clean the office in 40 minutes. How long will it t
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If they each do half, it will take 35 minutes.
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3x-1/5-2/9x=124/5<br>how do you solve this?
Sergeu [11.5K]
So first you would combine the like-terms so you get:
\frac{7}{9} x - \frac{1}{5} = 124 \div 5
and combine the second like-terms:
\frac{7}{9}x - \frac{1}{5} = 24.8
now you only have a two step equation and you continue by doing the reciprocal and you add the -1/5 to the 24.8 where you get:

7/9x=24.6

then because the 7/9 is being multiplied by the x and your trying to isolate it you divide it by the 7/9 on both sides and you'll end up getting

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6 0
4 years ago
Solve the following problem and show the work. (x - 6)^2 + (y + 1)^2 = 40
Taya2010 [7]

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 6)² + (y + 1)² = 40 ← is the equation of a circle in standard form

centre = (6, - 1) and r = \sqrt{40} = 2\sqrt{10}

3 0
3 years ago
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