Ask question

Ask question

All categories

3 years ago

9

Pleas help me find the answer and show the work to this question

1 answer:

lions [1.4K]3 years ago

6 0

Answer:

$Leg\ 1 = 8$

$Leg\ 2 = 15$

Step-by-step explanation:

Given: See Attachment

Required

Determine the length of the legs

To do this, we apply Pythagoras theorem.

$Hyp^2 = Adj^2 + Opp^2$

In this case:

$17^2 = x^2 + (2x- 1)^2$

Open Bracket

$17^2 = x^2 + 4x^2- 2x-2x + 1$

$17^2 = 5x^2 - 4x + 1$

$289= 5x^2 - 4x + 1$

Collect Like Terms

$5x^2 - 4x + 1 - 289 = 0$

$5x^2 - 4x - 288 = 0$

Solving using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

So:

$x = 8$ or $x = -7.2$

Since, x can't be negative, then:

$x = 8$

One of the leg is:

$Leg\ 1 = x$

$Leg\ 1 = 8$

$Leg\ 2 = 2x - 1$

$Leg\ 2 = 2*8 - 1$

$Leg\ 2 = 16 - 1$

$Leg\ 2 = 15$

You might be interested in

If DM=35, what is the value of r? Where DG is r+5 and GM is 3r-14

AlekseyPX

R=17.5
DG=22.5
GM=38.5

8 0

3 years ago

An egg is dropped from a height of 90 ft. If acceleration due to gravity is –16 ft/s2 and initial velocity is 0 ft/s, approximat

stira [4]

2.4 s B ( i hope this help)

6 0

3 years ago

Read 2 more answers

Reuben runs 5 miles in 30 minutes. How many miles does he run per minute?

Irina18 [472]

1/6 of a mile per minute

8 0

2 years ago

Margaret bought a video game, her father gave her 0.2 of the money, her aunt gave 0.5 of the money and she saved the rest. She s

const2013 [10]

Answer:

if Im correct it should be $8.40

Step-by-step explanation:

why well if you think of breaking down by say 1/4 of 168 all you do is divide 4 which is the whole amount by 0.2 which is the amount the father gave her so 4/0.2= 20 the you take your whole 168 and divide by 20 which the whole number for 0.2 the your answer should be this 168/20= 8.4 which then i assumed it was $8.40 hopefully that is correct hehe

5 0

2 years ago

Match the following items by evaluating the expression for x = -2.

Sloan [31]

Answer:

1) $-4$

2) $-3$

3) $1$

4) $-2$

5) $4$

Step-by-step explanation:

According to the information given in the exercise, the value of "x" is:

$x = -2$

Then:

1) You must substitute $x = -2$ into the expresion $x-2$ :

$=(-2)-2$

Now, you must evaluate:

$=-4$

2) You have to substitute the given value of "x" into the second expression:

$x-1=(-2)-1$

Finally, evaluating, you get the following result:

$=-3$

3) According to the Zero exponent Rule, any non-zero number with an exponent of zero is equal to 1.

Then, substituting $x = -2$ into the expression $x^0$ and then evaluating, you get:

$x^0=(-2)^0=1$

4) By definition:

$a^1=a$

Then, substituting $x = -2$ into $x^1$ and evaluating, you get:

$x^1=(-2)^1=-2$

5) Since:

$a^2=a*a$

When you substitute the given value of "x" into the last expression and then you evaluate, you get:

$x^2=(-2)^2=(-2)(-2)=4$

4 0

3 years ago