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2 years ago

2|x/2+3|=1, solve for x, there is two answers.please help asap I will give brainiest

Mathematics

1 answer:

xxMikexx [17]2 years ago

5 0

Answer: -5 and -7

Step-by-step explanation:

| $\frac{x}{2}$ +3| = $\frac{1}{2}$

It has 2 cases

the first case ;

$\frac{x}{2}$ + 3 = $\frac{1}{2}$

$\frac{x}{2}$ = $\frac{-5}{2}$

x = -5

the second case;

$\frac{x}{2}$ + 3 = $\frac{-1}{2}$

$\frac{x}{2}$ = $\frac{-7}{2}$

x = -7

please give me a brainliest answer

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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

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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)

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

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

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2 years ago

Please help and show work

mylen [45]

7.B
$\sqrt{\pi } = 1.772$
$\pi = 3.142$
$2 \times \pi = 6.283$
${\pi}^{2} = 9.869$

9.A
3/2=1.5

8. F
2times pi =6.283
square root of 50= 7.071
pi squared/2= 3.289

10.H
1/7= .143
which means it can't be f or g.

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Step-by-step explanation:

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