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2 years ago

WILL MARK BRAINLIST!!! PLS HELP QUICK!!

Mathematics

1 answer:

Alborosie2 years ago

8 0

Answer:

12.

Square root = 37,

Step-by-step explanation:

40^2 = 1600

35^2 = 30 * 40 + 25 = 1225

So the requred square is between 35 and 40

38^2 = 1444

37^2 = 1369 - so its this one.

Required difference = 1381 - 1369 = 12.

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12 6 12 24

diamong [38]

Answer:

Step-by-step explanation:

divide the given polygon into two (a square and a trapezium
area of trapezium=1/2(a+b)×b 1/2(12+6)×12 ans 108square unit
area of a square=s×s 12×12 =144square unit
add 108+144=252square unit

3 0

4 years ago

Find an equation of the tangent to the curve x =5+lnt, y=t2+5 at the point (5,6) by both eliminating the parameter and without e

svet-max [94.6K]

ANSWER

$y = 2x -4$

EXPLANATION

Part a)

Eliminating the parameter:

The parametric equation is

$x = 5 + ln(t)$

$y = {t}^{2} + 5$

From the first equation we make t the subject to get;

$x - 5 = ln(t)$

$t = {e}^{x - 5}$

We put it into the second equation.

$y = { ({e}^{x - 5}) }^{2} + 5$

$y = { ({e}^{2(x - 5)}) } + 5$

We differentiate to get;

$\frac{dy}{dx} = 2 {e}^{2(x - 5)}$

At x=5,

$\frac{dy}{dx} = 2 {e}^{2(5 - 5)}$

$\frac{dy}{dx} = 2 {e}^{0} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5)$

$y = 2x - 10 + 6$

$y = 2x -4$

Without eliminating the parameter,

$\frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }$

$\frac{dy}{dx} = \frac{ 2t}{ \frac{1}{t} }$

$\frac{dy}{dx} = 2 {t}^{2}$

At x=5,

$5 = 5 + ln(t)$

$ln(t) = 0$

$t = {e}^{0} = 1$

This implies that,

$\frac{dy}{dx} = 2 {(1)}^{2} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5) =$

$y = 2x -4$

5 0

4 years ago

If Ahmad’s balance is $85, what will the minimum payment be?

Kruka [31]

his balance will be 20 dollars

3 0

3 years ago

What is (10+y)^2-y^2=3x+12 in standard form?

Maru [420]

(10 + y)² - y² = 3x + 12
(10 + y)·(10 + y) - y² = 3x + 12
10² + 20y + y² - y² = 3x +12
100 + 20y = 3x + 12
100 - 12 = 3x - 20y
3x - 20y = 88
3x - 20 y - 88 = 0 (I suppose it is that one, simplifyied and in order of the letters, or that it you at the previous step)

6 0

3 years ago

Which graph could represent the function f(x) = (x +3.8)2 - 2.7?

docker41 [41]

The last graph is the correct answer.

6 0

4 years ago

Read 2 more answers