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3 years ago

-6x – 4y = -14 4x – 12y = -20 a. (1, 2) b. (-2, 1) c. (-2,4) d. (-2,-4)

Mathematics

2 answers:

dangina [55]3 years ago

5 0

It’s probably A. (1,2) hope this helps..

jekas [21]3 years ago

5 0

Answer:

A.(1,2)

Step-by-step explanation:

Step: Substitute

−2 /3 y + 7 /3

4x−12y=−20:

4x−12y=−20

4( −2 /3 y + 7 /3 )−12y=−20

-44/3y + 28 /3 =−20(Simplify both sides of the equation)

−44 /3 y + 28 /3 + −28 /3 =−20+ −28 /3

(Add (-28)/3 to both sides)

−44 /3 y= −88 /3

−44 /3 y

−44 /3 = −88 /3 −44 /3

(Divide both sides by (-44)/3)

y=2

Step: Substitute2foryinx=

−2 /3 y+ 7 /3 :

x= −2 /3 y+ 7 /3

x= −2 /3 (2)+ 7 /3

x=1(Simplify both sides of the equation)

Answer:

x=1 and y=2

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8x10x32divided by 19 +1000000000x329568453=

lora16 [44]

Answer:

3.29568453×10^17

Step-by-step explanation:

5 0

3 years ago

Subtract the second equation from the first<br> 6x + 5y =16<br> - (6x + 2y=10)

Akimi4 [234]

Answer:

3x = 6

Step-by-step explanation:

Combine:

6x + 5y =16

- (6x + 2y=10)

--------------------

3y = 6, so that y = 2 (We weren't actually asked to find the solution.)

5 0

3 years ago

Find the x- and y-intercept of the line.<br><br> -7/5x -4y = 7

rosijanka [135]

First, isolate the variables to either side.

4y = -7/5x -7

Second, simplify in terms of y.

y = -7/20x - 7/4

Third, plug 0 in for y to find the y intercept and factor the x side to make it simple. Then, find the value that makes the x-factor zero.

0 = (-7/4)(1/5x +1)

1/5x + 1 = 0

1/5x = -1

x = -5

The x-intercept is (-5,0)

Fourth, plug zero in for x to find the y-intercept.

y = -7/20*(0) -7/4

y = -7/4

Therefore, the y-intercept is (0,-7/4) and the x-intercept is (-5,0).

6 0

3 years ago

If gas costs $2.19 per gallon, how many whole gallons of gas could you buy with $17.00? (Make sure to answer with a whole number

ankoles [38]

Answer:

2.19*17.00

=37.23

=$37

Step-by-step explanation:

4 0

3 years ago

The perimeter of a triangular field is 120m. Two of the sides are 21m and 40m.Calculate the largest angle of the field.

Mama L [17]

Answer:

the largest angle of the field is 149⁰

Step-by-step explanation:

Given;

perimeter of the triangular filed, P = 120 m

length of two known sides, a and b = 21 m and 40 m respectively

The length of the third side is calculated as follows;

a + b + c = P

21 m + 40 m + c = 120 m

61 m + c = 120 m

c = 120 m - 61 m

c = 59 m

↓ ↓

A → → → → → → → → → → → C

Consider ABC as the triangular field;

Angle A is calculated by applying cosine rule;

$a^2 = b^2 + c^2 - 2bc \ Cos A\\\\Cos \ A = \frac{b^2 + c^2 - a^2}{2bc} \\\\Cos \ A = \frac{40^2 + 59^2 - 21^2}{2 \times 40 \times 59} \\\\Cos \ A = 0.983\\\\A = Cos ^{-1} (0.983)\\\\A = 10.6 \ ^0$

Angle B is calculated as follows;

$Cos \ B = \frac{a^2 + c^2 - b^2}{2ac} \\\\Cos \ B = \frac{21^2 + 59^2 - 40^2}{2 \times 21 \times 59} \\\\Cos \ B = 0.937\\\\B= Cos ^{-1} (0.937)\\\\B = 20.5 \ ^0$

Angle C is calculated as follows;

$Cos \ C = \frac{a^2 + b^2 - c^2}{2ab} \\\\Cos \ C = \frac{21^2 + 40^2 - 59^2}{2 \times 21 \times 40} \\\\Cos \ C = -0.857\\\\C = Cos ^{-1} (-0.857)\\\\C = 149\ ^0$

Therefore, the largest angle of the field is 149⁰.

8 0

3 years ago