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3 years ago

State the Pythagorean theorem using the triangle shown below

Mathematics

2 answers:

AlekseyPX3 years ago

7 0

Answer: p^2 + q^2 = r^2

Step-by-step explanation:

Pythagorean Theorem = a^2 + b^2 = c^2

P = a (leg)

q = b (leg)

r = c (Hypotenuse)

Gemiola [76]3 years ago

3 0

Answer:

p^2+q^2=r^2 (the third option)

Step-by-step explanation:

The Pythagorean theorem states that each side not the hypotenuse squared equals the hypotenuse squared.

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The difference between of two numbers is 9. If the large number is one more than twice the smaller number, find the larger numbe

sleet_krkn [62]

The larger number is 17

Solution:

Let "x" be the larger number

Let "y" be the smaller number

The difference between of two numbers is 9

Therefore,

larger number - smaller number = 9

x - y = 9 -------- eqn 1

The large number is one more than twice the smaller number

Larger number = 1 + 2(smaller number)

x = 1 + 2y ------ eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

1 + 2y - y = 9

1 + y = 9

y = 9 - 1

y = 8

Substitute y = 8 in eqn 1

x - 8 = 9

x = 8 + 9

x = 17

Thus the larger number is 17

6 0

3 years ago

A line intersects the point (6,9) and (7,4). What is the slope intercept equation for this line?

BartSMP [9]

Answer:

im kind of rusty on this math but i think the equation would be y=-5x+b i forgot how to find b tho :( im sorry

6 0

3 years ago

Help please :))

Marysya12 [62]

Answer:

See below

Step-by-step explanation:

The roots are:

3, 3, 2 - 3i, 2 + 3i (conjugate of 2 - 3i should be added) and the leading coefficient is - 5

The polynomial is:

-5(x - 3)² (x - [2 - 3i]) (x - [2 + 3i]) =
- 5(x² - 6x + 9) (x² - 4x + 13) =
-5(x⁴ - 10x³ + 46x² - 114x + 117) =
-5x⁴ + 50x³ - 230x² + 570x - 585

7 0

3 years ago

The charge for electricity consumption E is partly constant and partly varies as the number N of units used. The charge for 82 u

balandron [24]

The charge per unit of electricity is #415

The formula for E in terms of N is E = 375 + 40N

<h3>What is variation?</h3>

Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.

Analysis:

E = K + CN

where K and C are constants

When E = 3655, N = 82 and when E = 2055, N = 42

3655 = K + 82C ---------------1

2055 = K + 42C----------------2

subtract equation 2 from 1

40C = 1600

C = 40

substitute C in equation 1

3655 = K + 82(40)

3655 = K + 3280

K = 3655 - 3280 = 375

charge per unit is N = 1

E = 375 + 40(1) = #415

Formula for E in terms of N is E = 375 + 40N

In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N

Learn more about Variation: brainly.com/question/6499629

SPJ1

3 0

2 years ago

Which fraction is between 0.15 and 0.45

bulgar [2K]

0.35 is the fraction between

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3 years ago