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Mekhanik [1.2K]
3 years ago
14

A scatter plot with a line is shown below.

Mathematics
1 answer:
n200080 [17]3 years ago
4 0
The answer would be D
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Find the equation in standard form of the line passing through the points (2,-3) and (4,2)
Sonja [21]

The equation of the line passing through the points (x_1,y_1) and (x_2,y_2) is

\frac{x-x_1}{y-y_1} =\frac{x_2-x_1}{y_2-y_1}. Here \frac{y_1-y_1}{x_2-x_1} is the slope of the line.

Substituting numerical values,

\frac{x-2}{y+3} =\frac{4-2}{2+3} \\ \frac{x-2}{y+3} =\frac{2}{5} \\ 5x-10=2y+6\\ 5x-2y-16=0

The equation of the line in standard form is 5x-2y-16=0.

5 0
4 years ago
Answer ASAP please!<br> …
Gekata [30.6K]

Answer:

"A" seems to be incorrect....

Step-by-step explanation:

"A" seems to be incorrect....

\frac{\left(\sin \left(60^{\circ \:}\right)\cdot \:300\right)}{\sin \left(90^{\circ \:}\right)}=150\sqrt{3}\quad \begin{pmatrix}\mathrm{Decimal:}&259.80762\dots \end{pmatrix}

8 0
3 years ago
In Exercise find the derivative of the functions.<br> f(x) = (4x - 3)(x2 + 9)
pashok25 [27]

Answer: f'(x)=12x^2 - 6x+36

Step-by-step explanation:

According to the product rule of derivatives.

f'(x)=u'(x)v(x)+u(x)v'(x)

The given function : f(x) = (4x - 3)(x^2 + 9)

here , u(x) = 4x - 3 and v(x)=x^2 + 9

Differentiate both sides with respect to x, we get

u'(x) = 4+0=4 and v(x)=2x +0=2x

[\because \dfrac{d(ax)}{dx}=a\ , \dfrac{d(a)}{dx}=0 \ \&\ \ \dfrac{d(x^n)}{dx}=nx^{n-1}]

Then, Tge derivative of  withe respect to x will be :

f'(x)=u'(x)v(x)+u(x)v'(x)

=4(x^2 + 9)+( 4x - 3)(2x)

=4x^2 +36+8x^2 - 6x

=12x^2 - 6x+36

Hence, the derivative of the function is f'(x)=12x^2 - 6x+36 .

7 0
4 years ago
You invest $1300 in an account at 2% per year simple interest. The equation
myrzilka [38]

Answer:

  B.  $1430

Step-by-step explanation:

Put 6 in the equation for n and do the arithmetic.

  A(6) = 1300 +(6 -1)(0.02·1300)

  = 1300(1 +5(.02)) = 1300(1.1)

  A(6) = 1430 . . . . matches choice B

4 0
3 years ago
HELP I REALLY NEED HELP ON THIS !
Serjik [45]


4) your last two choices.

5) your second choice.

6) your third choice.

7) your first choice.

8) your third choice.

Hope that helps :D

7 0
3 years ago
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