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Law Incorporation [45]

3 years ago

8

Explain how you can check your solutionto the equation. Then check the solution.

1 answer:

Hoochie [10]3 years ago

4 0

Answer:

To check if a given value is a solution to an equation:

Evaluate the left-hand side expression at the given value to get a number.

Evaluate the right-hand side expression at the given value to get a number.

See if the numbers match.

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I need help<br><br><br><br>30% of _____ is 60

Nuetrik [128]

Answer:

200 is the answer

Step-by-step explanation:

keep in mind 3*2=6

So 30% is 0.3

0.3*200=60

5 0

3 years ago

What value of c makes x2 6x c a perfect square trinomial? c = If x2 6x c = (x d)2, then d =.

Mariana [72]

$\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^2 \pm \stackrel{\stackrel{2\sqrt{x^2}\sqrt{c^2}}{\downarrow }}{6x} +c^2~\hspace{10em}6x=2\sqrt{x^2}\sqrt{c^2}\implies 6x=2xc \\\\\\ \cfrac{6x}{2x}=c\implies 3=c\implies 9=c^2~\hfill \boxed{(x\pm 3)^2}$

3 0

2 years ago

The equation x²– 8x – 5 = 0 can be transformed into the equation (x - p)² = q, where p and q are real numbers. What are the valu

Juliette [100K]

The form (x - p)^2 = q is the form that completing the square will leave us with.

---Add 5 to both sides

x^2 - 8x = 5

---Divide the b term by 2, and square it. Then, add that number to both sides.

-8/2 = -4

(-4)^2 = 16

x^2 - 8x + 16 = 5 + 16

x^2 - 8x + 16 = 21

---Factor!

(x - 4)^2 = 21

p = 4

q = 21

Hope this helps!! :)

5 0

2 years ago

What is the solution of the inequality x^3+3x^2>7x+6

sveta [45]

Answer:

<u><em>x>2</em></u>

Step-by-step explanation:

<u><em>x3+3x2=7x+6</em></u>

<u><em>x3+3x2−(7x+6)=7x+6−(7x+6)</em></u>

<u><em>x3+3x2−7x−6=0</em></u>

<u><em>(x−2)(x2+5x+3)=0</em></u>

<u><em>x−2=0 or x2+5x+3=0</em></u>

<u><em>x=2 or x=−0.6972243622680054 or x=−4.302775637731995</em></u>

<u><em>x<−4.302776</em></u>

<u><em>−4.302776<x<−0.697224</em></u>

<u><em>−0.697224<x<2</em></u>

<u><em>x>2(Works in original inequality)</em></u>

3 0

3 years ago

Cherie is jogging around a circular track. She

skelet666 [1.2K]

Answer:

Measure of minor angle JOG is $95.5^{\circ}$

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.

$\therefore m JG = 200 yards, JO=120 yards$ .

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle $\angle JOG = \theta$ .

To calculate the central angle, use the arc length formula as follows.

$Arc\:Length\left(s\right) = r\:\theta$

Where $\theta$ is measured in radian.

Substituting the value,

$200=120\:\theta$

Dividing both side by 120,

$\dfrac{200}{120}=\theta$

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

$\therefore \dfrac{5}{3}=\theta$

Therefore value of central angle is $\angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}$ , since angle is in radian

Now convert radian into degree by using following formula,

$1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}$

So multiplying $\theta$ with $\left(\dfrac{180}{\pi}\right)^{\circ}$ to convert it into degree.

$\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}$

Simplifying,

$\therefore \theta = 95.49^{circ}$

So to nearest tenth, $\angle JOG=95.5^{circ}$

8 0

3 years ago