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4 years ago

Solve each system of linear or non-linear equations. Show all work!! 3x - 4y = 13 2x + y = 5

1 answer:

6 0

Answer: See below

Explanation:

3x - 4y = 13 (1)
2x + y = 5 (2)
——————
3x - 4y = 13
4(2x + y = 5) (2) times 4
——————-
3x - 4y = 13
8x + 4y = 20
——————-
11x = 33
x = 33/11
x = 3

Plug x = 3 in (2):

2(3) + y = 5
6 + y = 5
y = 5-6
y = -1

Thus, x = 3 and y = -1

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3(3p +5) -6p + 3p(5-1)

lesya692 [45]

Answer:

15p+15

Step-by-step explanation:

3(3p+5)-6p+3p(5-1)

9p+15-6p+3p(4)

9p-6p+15+12p

3p+12p+15

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3 years ago

Find the hypotenuse of a right triangle if side a=3 and side b=4

Slav-nsk [51]

Answer:

5 units

Step-by-step explanation:

By Pythagoras theorem:

$(hypotenuse)^2 = a^2+ b^2\\\therefore hypotenuse = \sqrt{a^2+ b^2} \\\therefore hypotenuse = \sqrt{3^2+ 4^2} \\\therefore hypotenuse = \sqrt{9+ 16} \\\therefore hypotenuse = \sqrt{25} \\\therefore hypotenuse = 5\: units$

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3 years ago

6. An ostrich cannot fly, but it is able to run fast. Suppose an ostrich runs east for 7.95 s and then runs 161 m south, so that

Liula [17]

Answer:

159 m

Step-by-step explanation:

From the information given:

It was stated that if the ostrich ran towards the east direction in 7.95 s, let say the distance from the starting point is O towards the east side E, let called the distance towards the east side to be OE.

Again, the ostrich then runs in the south direction for 161 m, let the distance be OS.

Also, let the magnitude of the resultant displacement between the east direction to the south direction be ES = 226m.

We are to find, the magnitude of the ostrich's eastward component.

i.e. The distance traveled from the center to the east direction within the time frame of 7.95 s.

Using the Pythagoras rule:

ES² = OE² + OS²

226² = OE² + 161²

226² - 161² = OE²

OE² = 226² - 161²

OE² = 51076 - 25921

OE² = 25155

$OE = \sqrt{25155}$

OE = 158.60 m

OE ≅ 159 m

Thus, the magnitude of the ostrich's towards the eastward component. = 159 m.

4 0

3 years ago

I NEED HELP ASAP!!!!

abruzzese [7]

Answer is 4/7

You divide the length of C'D' over the length of CD
C'D'/CD = 8/14 = 4/7

The scale factor is smaller than 1, so C'D' is shorter than CD

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4 years ago

0 find the smallest values of n which will guarantee a theoretical error less than if the integral is estimated by: (a) the trap

goldenfox [79]

Answer:

Step-by-step explanation:

Check attachment for answers.

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4 years ago

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