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Liula [17]
3 years ago
6

For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical

form.

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0

The Pythagorean theorem tells you

... a² + b² = c²

so

... a² = c² - b² = 16² - 9² = 256-81 = 175

... a = √175 = √(25·7)

... a = 5√7

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5x-y=7
seropon [69]

Answer:

see graph of y = 5x - 7

Step-by-step explanation:

If graphing is the task, you should rewrite the equation in a y = ax + b form. All straight lines can be described in this form, only the a and b determine which line it is.

Your equation 5x-y=7 has the 5x on the left side, so lets move it to the right. It will get a negative sign (this is the same as subtracting 5x like you did in your picture)

5x - y = 7

-y = 7 - 5x

Now we still have the -y which should be a +y. So we multiply left and right with -1 and get:

y = -7 + 5x

If we swap the -y and 5x (we can, because they are just an addition), we get:

y = 5x - 7

Now the equation is in its "normal" form. It's like the y = ax + b with a and b chosen as a=5 and b=-7.

The normal form is handy because you can immediately see the slope is 5 and the intersection with the y-axis is at y=-7.

3 0
3 years ago
120% of <br> x<br> is equal to 78.<br><br> x<br> =
snow_lady [41]

Answer:

120% of 78=93.6

Step-by-step explanation:

8 0
3 years ago
(Urgent plz help :”) )Find the value of w.
GarryVolchara [31]

Answer:

The value of w is 7.

Step-by-step explanation:

According to Pythagoras theorem,

Hypotenuse²=Perpendicular²+Base²

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Here,

Hypotenuse given=7√2

w=y

Perpendicular=Base=x

(7√2)²=x²+x²

49*2=2x²

(49*2)/2=x²

49=x²

√49=x

7=x

Perpendicular=x=7

4 0
3 years ago
during second period, mia completed a grammar worksheet. of the 60 questions, mia got 80% right. how many questions did mia get
I am Lyosha [343]

60 multiplied by 80% = 48 correctly answered questions.

3 0
3 years ago
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Which two rooms have an
guajiro [1.7K]

Answer:

Room 107 and room 101 have an equal ratio of boys and girls.

Step-by-step explanation:

12 to 9 is 4:3 simplified and 16 to 12 is also 4:3 simplified.

5 0
3 years ago
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