All categories

3 years ago

X -y =-4 -2x + 3y = 6

Mathematics

1 answer:

hoa [83]3 years ago

8 0

Answer:

y=-2

x=-6

Idk if it's right

You might be interested in

Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a

Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force ( $\vec F$ ), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

$\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)$ (1)

Vector (ordered pair - polar form)

$\vec F = \left(\|\vec F\|, \theta\right)$

Sum of vectorial components (linear combination)

$\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}$ (2)

Where:

$\|\vec F\|$ - Norm of the vector force, in newtons.

$\theta$ - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

$\hat{i}$ , $\hat{j}$ - Orthogonal axes, no unit.

If we know that $\|\vec F\| = 30\,lbf$ and $\theta = 25^{\circ}$ , then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

$\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]$

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]$

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

8 0

2 years ago

What is the difference in the place value between the 2 in 324 and the 2 in 0.324?

mel-nik [20]

The 2 in 324 represents the number 20 out of 300 and 4. With decimal in front, the 2 now represents hundredths of 1.

7 0

2 years ago

Read 2 more answers

Is there more than one million,less the one million or more than one million milligrams in one kilogram

mamaluj [8]

1 kilo gram is 1000 grams. 1 gram is 1000 milligrams. Think you can solve the rest? :)

8 0

2 years ago

Pearl deposited $60 into her savings account. According to the rule of 72, what interest rate will cause her money to double in

statuscvo [17]

Answer:2.2%

Step-by-step explanation:

7 0

3 years ago

What is the range of the function f(x)=6x+5 for the domain {-1,0,1,2,3}

bogdanovich [222]

{-1, 5, 11, 17, 23} ................

6 0

2 years ago