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3 years ago

Consider the line 7x + 5y = 5.

Mathematics

1 answer:

Anna71 [15]3 years ago

3 0

Answer:

M perpendicular line = 5 is the numerator and 7 is the denominator

M parallel line = negative then 7 as the numerator and 5 as your denominator

Step-by-step explanation:

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2х5y-3z-=14 x-2y+=-12 -x+ Зу-2z =13

lukranit [14]

Answer:

x = -34/3, y = 1/3, and z = -35/3

Step-by-step explanation:

2х+5y-3z-=14 let's call this equation 1.

x-2y=-12 let's call this equation 2.

-x+Зу-2z =13 let's call this equation 3.

USING EQUATION 1 AND EQUATION 3.

2х+5y-3z-=14 (EQUATION 1)

-x+Зу-2z =13 (EQUATION 3)

LET'S GET RID OF z, BY MAKING THE COEFFICIENT OF z IN THE TWO EQUATION THE SAME. WE WILL MULTIPLY EQUATION 1 BY 2 AND EQUATION 3 BY 3.

2х+5y-3z-=14 (EQUATION 1) * 2

-x+Зу-2z =13 (EQUATION 3) * 3

4х+10y-6z-=28 let's call this equation 4.

-3x+9у-6z =39 let's call this equation 5.

TO GET RID OF z, WE WILL HAVE TO SUBTRACT EQUATION 5 FROM EQUATION 4 PLEASE TAKE NOTE OF THE SIGNS (-) (+).

4х+10y-6z-=28 (EQUATION 4)

- (-3x+9у-6z =39) (EQUATION 5)

(4x - 3x) + ((+10y) - (+9y)) + ((-6z) - (-6z)) = (28 - 39)

x + y + 0 = -11

x + y = -11 let's call this equation 6.

USING EQUATION 2 AND EQUATION 6, LET'S FIND x AND y.

x-2y=-12 (EQUATION 2)

x + y = -11 (EQUATION 6)

x has the same coefficient in both equations, which is 1. Let's get rid of x so we can find the value of y.

We will subtract equation 6 from equation 2. Take note of the signs.

x-2y=-12 (EQUATION 2)

- (x + y = -11) (EQUATION 6)

(x - x) + ((-2y) - (+y)) = ((-12) - (-11))

0 + -3y = -1

-3y = -1

Divide both sides by -3.

-3y/-3 = -1/-3

y = 1/3

LET'S SUBSTITUTE THE VALUE OF y INTO EQUATION 2 TO GET THE VALUE OF x.

x-2y=-12 (EQUATION 2)

x-2(1/3)=-12

x -2/3 = -12

Add 2/3 to both sides.

x -2/3 + (2/3) = -12 + (2/3)

x + 0 = -34/3

x = -34/3

LET'S SUBSTITUTE THE VALUES OF x and y INTO EQUATION 1 TO GET THE VALUE OF z.

2х+5y-3z-=14 (EQUATION 1)

2(-34/3)+5(1/3)-3z-=14

-68/3 + 5/3 - 3z = 14

-21 - 3z = 14

Add 21 to both sides.

-21 + (21) - 3z = 14 + (21)

0 - 3z = 35

-3z = 35

Divide both sides by -3.

-3z/-3 = 35/-3

z = -35/3 or

Therefore, x = -34/3, y = 1/3, and z = -35/3

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6 0

3 years ago

2 Points If F(x) = x - 2, which of the following is the inverse of F(x)?

solniwko [45]

Answer:

$f^{-1}$ (x) = x + 2

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject

y = x - 2 ( add 2 to both sides )

y + 2 = x

Change y back into terms of x, thus

x = y + 2, so

$f^{-1}$ (x) = x + 2

5 0

3 years ago

Karen and her friends decided to have a water balloon fight! They got 20 water balloons and used 6 liters of water to fill them

olga_2 [115]

Answer:

Amount of water in each balloon = 300 milliliter

Step-by-step explanation:

Given:

Amount of water used in balloon = 6 liter

Number of water balloon = 20 balloon

Find:

Amount of water in each balloon

Computation:

Amount of water used in balloon = 6 x 1000

Amount of water used in balloon = 6,000 milliliter

Amount of water in each balloon = Amount of water used in balloon / Number of water balloon

Amount of water in each balloon = 6,000 / 20

Amount of water in each balloon = 300 milliliter

3 0

3 years ago

The decimal from 1.46 becomes______ expressed as a percentage

soldi70 [24.7K]

Hey there Heavenly915,

Answer:

1.46 = 2.1316%
= 2%

Hope this helps :D

~Top♥

8 0

4 years ago

Diagram 5 shows a triangle ABD such that AD = 17 cm, AB = 10 cm and BD = 21 cm. The straight line AC is perpendicular to the str

OlgaM077 [116]

Answer:

Step-by-step explanation:

100 = x^2 + AC^2

17^2 = AC^2 + (21 - x)^2

289 = AC^2 + 21^2 + x^2 - 2*21*x

289 = AC^2 + 441 + x^2 - 42x

from 1st equation AC^2 + x^2 = 100

289 = 441 + 100 - 42x

289 = 541 - 42x

42x = 541 - 289 = 252

x = 252/42 = 6

so AC^2 = 100 - 6^2 = 100 - 36 = 64

AC = 8

7 0

3 years ago