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2 years ago

3/4x+3-2x= -1/4+1/2x+5 What is the value of x

Mathematics

1 answer:

lions [1.4K]2 years ago

5 0

Step-by-step explanation:

3/4x+3-2x=1/4+1/2x+5

x=2/-3

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Is -¼ + 2 ¼y + 2 - y equivalent to y + 2 ?

Juliette [100K]

Answer: No

Step-by-step explanation:

$-\frac{1}{4}+2\frac{1}{4}y+2-y=y+2$

$(-\frac{1}{4}+2)+(2\frac{1}{4}y-y)=y+2\\$

$(\frac{(-1)+(4)(2)}{4})+(\frac{9}{4}y-y)=y+2$

$(\frac{-1+8}{4})+(\frac{(9)(1)-(4)(1)}{4} )y=y+2$

$(\frac{7}{4})+(\frac{9-4}{4} )y=y+2$

$(\frac{7}{4})+(\frac{5}{4})y=y+2$

5 0

3 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

3 years ago

What type of number is 0?

FrozenT [24]

Answer:

0 is a rational number, whole number, integer, and a real number.

Step-by-step explanation:

7 0

2 years ago

Look at the figure shown below.

Sveta_85 [38]

Answer:

Step by step explanation:

7 0

2 years ago

Find the exact value of secθ if cscθ=-4/3 and the terminal side of θ lies in Quadrant III.

Anton [14]

Quadrant is III so, sign would be negative for Sec.
Now, we know, csc = H / P
So, H = 4, P = 3
Calculate for B,
B² = H² - P²
B² = 4² - 3²
B² = 16 - 9
B = √7

We know, sec Ф = H / B = 4 / √7
We can write it as: -4√7 / 7 [ -ve sign for 3rd quadrant ]

In short, Your Answer would be Option B

Hope this helps!

6 0

4 years ago