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Reika [66]
3 years ago
10

1/2 (2h - 4)= 20 ; solve for h.

Mathematics
2 answers:
QveST [7]3 years ago
3 0
1/2 (2h-4)=20 ----> First divide by 1/2 which is the same as multiplying by 2

2h - 4 = 40 ----> Add 4 to both sides.

2h = 44 ----> Divide both sides by 2.

h = 22

I hope this helps!!!
skad [1K]3 years ago
3 0

First: move the 1/2 over to the other side of the equal sign. 2h - 4 = 40

Next: add 4 to both sides. 2h = 44

Finally: divide both sides by 2. h = 22

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What is 0.6% as a fraction in simplest form
svetoff [14.1K]

Answer:

3/500

Step-by-step explanation:

.6%   = .006   =    6/1000  = 3/500

3 0
2 years ago
Prove algebraically that the straight line with equation x =2y+5 is a tangent to the circle with equation x ² +y ²
mrs_skeptik [129]

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

<h3>What is a circle?</h3>

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.

x = 2y + 5 ...1

x² + y² = 5 ...2

If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.

Then from equations 1 and 2, we have

               (2y + 5)² + y² = 5

4y² + 25 + 20y + y² - 5 = 0

            5y² + 20y + 20 = 0

    5y² + 10y + 10y + 20 = 0

     5y (y + 2) + 10(y + 2) = 0

              (5y + 10)(y + 2) = 0

                                    y = -2, -2

Then the value of y is unique then the value of x will be unique.

The value of x will be

x = 2(-2) + 5

x = -4 + 5

x = 1

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

More about the circle link is given below.

brainly.com/question/11833983

#SPJ1

4 0
2 years ago
40 POINTS + BRAINLIEST! PLEASE SHOW ALL WORK
Elina [12.6K]
Hey there,

Your correct answer would be in the attachment below.

Hope this helps you!

~Jurgen

7 0
4 years ago
Wayne exercised for 5/6 of an hour in the morning and 1/3 of an hour in the evening. How much more of an hour did Wayne spend ex
Nat2105 [25]

Answer:

\frac{1}{2} of an hour

Step-by-step explanation:

Given:

Wayne exercised for 5/6 of an hour in the morning and 1/3 of an hour in the evening

To find:

Additional hours spent by Wayne exercising in the morning than in the evening.

Solution:

Time spent by Wayne in the morning = \frac{5}{6} of an hour

Time spent by Wayne in the evening = \frac{1}{3} of an hour = \frac{2}{6} of an hour

So, Wayne spends \frac{5}{6}-\frac{2}{6}=\frac{3}{6}=\frac{1}{2} more in the morning than in the evening.

8 0
4 years ago
Please Help<br> Will give brainiest<br> Stay safe and healthy
mafiozo [28]

Answer:

No, because not all of the pairs represent the same ratio. ...

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3 years ago
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