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2 years ago

Point E is on side BC of rectangle ABCD. let BE =b, EC = c, AE = x,

Mathematics

1 answer:

tia_tia [17]2 years ago

7 0

Answer:

Step-by-step explanation:

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5 students made an A in their Math quiz, 10 students made an B, 6 students made an C,

navik [9.2K]

Answer:

I think is C.............

5 0

2 years ago

Is it possible for two different linear functions to have the same y-intercept? Explain.

Lesechka [4]

No its not possible I cant explain right now because I'm in class but I will later

7 0

2 years ago

Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=

lys-0071 [83]

Answer:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

Step-by-step explanation:

The given system of linear equations is:

$(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0$

We have to solve the equations for the values of $x, y$ .

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by $sin\theta$ and second equation by $cos\theta$

Now, the equations become:

$(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)$

Now, let us add (1) and (2):

$(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta$

Using the equation:

$(-sin\theta)x+(cos\theta)y=0$

Putting value of $y$ :

$\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta$

So, the answer to the system of linear equations is:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

7 0

2 years ago

I need help on #10. very confused

RideAnS [48]

Step-by-step explanation:

$\displaystyle f'(x) = \lim_{h \to 0} \dfrac{f(x + h) - f(x)}{h}$

$\:\:\:\:\:\displaystyle = \lim_{h \to 0} \dfrac{(x+h)^2 -7 -(x^2 - 7)}{h}$

$\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{(x^2 +2hx + h^2 -7) - (x^2 -7)}{h}$

$\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{2hx + h^2}{h}$

$\:\:\:\:\: \displaystyle= \lim_{h \to 0} (2x +h)$

$\:\:\:\:\: \displaystyle= 2x$

3 0

2 years ago

Mairisa gets $8 per week for an allowance. She saves 25% of her allowance each week. How long will it take Mauritania to save $1

Leona [35]

8 weeks

First, find how much money Maurisa saves each week. 25% is the same as 1/4, and 1/4 of 8 is 2, so Maurisa saves $2 each week.

Finally, just divide $16 by $2 per week to find that Maurisa will take 8 weeks to save $16.

3 0

2 years ago