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3 years ago

What is 4/7*3/4??? NEED HELP

Mathematics

1 answer:

Naya [18.7K]3 years ago

7 0

Answer

3/7 - three sevenths

Step-by-step explanation:

Multiply both numerators and both denominators

4*3=12 and 7*4=28

first one is your numerator

second one is your denominator

12/28

Then simplify

12/4=3 and 28/4=7

3/7

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What is the slope of the line passing through the points (-3,-5) and (2,-5)

kogti [31]

Answer

m = 10

Step-by-step explanation:

Formula:

m = (y2 - y1) / (x2 - x1) => plug in points

(-3,-5) and (2,-5)

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3 years ago

In each diagram, line p is parallel to line f, and line t intersects lines p and f. Based on the diagram, what is the value of x

ololo11 [35]

X would be 84 degrees, since its corresponding angle would be worth 84.
Hope this helped!

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3 years ago

Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give

frutty [35]

Answer:

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

Step-by-step explanation:

to find the tangent line we need to find the derivative of the function g(x).

$g(x) =e^{x^3}$

we know that $\frac{d}{dx}(e^{f(x)})=e^{f(x)}f'(x)$

$g'(x) =e^{x^{3}}(3 x^{2})$

$g'(x) =3 x^{2} e^{x^{3}}$

this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'

to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

$m =3 (-1)^{2} e^{(-1)^{3}}\\m =3e^{-1}\\m=\dfrac{3}{e}$

using the equation of line:

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

we'll find the equation of the tangent line.

here (x1,y1) =(-1,1/e), and m = 3/e

$(y-\dfrac{1}{e})=\dfrac{3}{e}(x+1)\\y=\dfrac{3x}{e}+\dfrac{3}{e}+\dfrac{1}{e}\\$

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

3 0

3 years ago

The sum of two numbers is 52. One number is 3 times as large as the other number. Which is the larger number

creativ13 [48]

The two number are 39 and 13

Solution:

Let the two numbers be "a" and "b"

Let the larger number be "a" and the smaller number be "b"

Given that, sum of two numbers is 52

a + b = 52 ---------- eqn 1

One number is 3 times as large as the other number

Larger number = 3 times smaller number

a = 3b -------- eqn 2

Let us solve eqn 1and eqn 2

Substitute eqn 2 in eqn 1

3b + b = 52

4b = 52

b = 13

Substitute b = 13 in eqn 2

a = 3(13)

a = 39

Thus the two number are 39 and 13

4 0

3 years ago

Solve the following equation: 9n² - n - 2/3 = 0

KIM [24]

Answer:

see explanation

Step-by-step explanation:

Given

9n² - n - $\frac{2}{3}$ = 0 ← multiply through by 3 to clear the fraction

27n² - 3n - 2 = 0 ← factoring

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term

product = 27 × - 2 = - 54 and sum = - 3

The factors are - 9 and + 6

Use these factors to split the n- term

27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )

9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term

(3n - 1)(9n + 2) = 0

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = $\frac{1}{3}$

9n + 2 = 0 ⇒ 9n = - 2 ⇒ n = - $\frac{2}{9}$

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2 years ago