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3 years ago

Find the length of a leg

Mathematics

1 answer:

Alona [7]3 years ago

4 0

2 corners are both 45 degrees, meaning that they are both the same length.

For this we use the pythagorean theorem, but a bit modified:
a^2 + a^2 = c^2
2a^2 = 256

Solve for a:
a^2 = 128
a = 8 √2

One leg is equal to √128 or 8 √2.

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What is the equation of the parabola passing through the points<br>(0,6). (3, 15.6), and (10,-4)?

Novosadov [1.4K]

Answer:

y = -0.6x^2 + 5x + 6

Step-by-step explanation:

First, find the equation of a linear line that passes through the points (0,6) and (3, 15.6) in the slope intercept form, y = mx + b. We know that the line has a y-intercept of 6, so b = 6. Substitute 3 for x, 15.6 for y, and 6 for b to find m.

y = mx + b

15.6 = 3m + 6

9.6 = 3m

m = 3.2

y = 3.2x + 6

y = a(x - 0)(x - 3) + 3.2x + 6

y = a(x)(x - 3) + 3.2x + 6

Finally, substitute 10 for x and -4 for y in the equation above to find a.

-4 = a(10)(10 - 3) + 3.2*10 + 6

-4 = a(10)(7) + 32 + 6

-4 = 70a + 38

-42 = 70a

a = -0.6

Simplify to write in standard form.

y = -0.6(x)(x - 3) + 3.2x + 6

y = -0.6x^2 + 5x + 6

7 0

2 years ago

37. Bowling Alley A charges $5 admission and $3.50 per game. Bowling Alley B

sdas [7]

a. The cost for A = 19, and B = 25.

b. The cost for A = 22.25, and B = 25

c. When you want to play more than five games.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

a. How much does it cost to play four games at each bowling alley?

a. 5 + 3.50 × 4 = 19, B is always $25

b. How much does it cost to play five games at each bowling alley?

b. 5 + 3.50 × 5 = 22.25, B is always $25

c. When is it financially more beneficial to bowl at Bowling Alley B?

c. 5 + 3.50 × 6 = 26, six games cost more than $25.

We can see from the solution that for any number of times we will be charged $25 but for less than 5 times the charges of B will be higher than the charges of A.

Therefore a.The cost for A = 19, and B = 25.The cost for A = 22.25, and B = 25 When you want to play more than five games.

To know more about expression follow

brainly.com/question/723406

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5 0

2 years ago

Jasonhas a coupon for $2.50 off any electronic Book from an online store. If the original price in dollars of an electric book b

Andru [333]

3+2.50=P or 5.50

this doesn't matter just trying to get 20 characters

7 0

3 years ago

B/c =a what is c ????????????

timama [110]

If you only want to know what it means ¨c¨ then it is the Denominator, cause you are referring a fraction.

6 0

3 years ago

Distribute and combine like terms. Please show all of your work.<br><br> -5(3x + 7) - 4(x - 4) + 11

Varvara68 [4.7K]

For this case we have the following expression:

$-5 (3x + 7) -4 (x-4) +11$

For simplicity we follow the steps:

We apply distributive property to the terms within the parenthesis, bearing in mind that:

$- * + = -\\- * - = +\\-15x-35-4x + 16 + 11 =$

We add similar terms taking into account that equal signs are added and the same sign is placed, while different signs are subtracted and the sign of the major is placed.

$-15x-4x-35 + 16 + 11 =\\-19x-8$

ANswer:

$-19x-8$

5 0

3 years ago

Read 2 more answers