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3 years ago

13

Line equations from point/slope

1 answer:

babunello [35]3 years ago

8 0

Answer:

The answer is

$y = \frac{1}{4} x + 3$

Step-by-step explanation:

Plug in and solve the equation. We are trying to find the y-intercept:

$y= \frac{1}{4}x + b \\ 2 = \frac{1}{4} ( - 4) + b \\ 2 = - 1 + b \\ \frac{ + 1 = + 1 \: \: \: \: \: \: \: \: }{3 = b}$

We found the y-intercept, so now we plug it in it's right full spot in the formula.

$y = \frac{1}{4} x + 3$

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Without using mathematics tables or calculates simplfy 3/8

Anna007 [38]

Answer:

3/8 CAN ALSO BE WRIITEN AS 375/1000=0.375

SILUTION..

3×125/8×125..

AS WE HAVE TO GET DENOMINATOR IN FORM OF1,10,100,1000,..SO ON.

375/1000

=0.375

7 0

3 years ago

Using the formula for the area of a triangle, , write an expression for the area of ΔABC. Base your answer on the work you did i

Montano1993 [528]

Answer:

$Area = \frac{1}{2} * AC * D$

Step-by-step explanation:

From the complete question, we have:

Length D to be perpendicular to side AC

So, the area of the triangle is:

$Area = \frac{1}{2} * Base * Height$

Since:

Length D is perpendicular to side AC

Then:

$Base = AC$

$Heigjt =D$

So:

$Area = \frac{1}{2} * AC * D$

4 0

3 years ago

Raise to the power<br> (–3y)^4<br> (2ax)^3<br> (10xy)^2<br> (–2abx)^4<br> (–am)^3<br> (–xn)^4

krok68 [10]

$Use\ (ab)^n=a^nb^n\\\\(-3y)^4=(-3)^4y^4=81y^4\\\\(2ax)^3=2^3a^3x^3=8a^3x^3\\\\(10xy)^2=10^2x^2y^2=100x^2y^2\\\\(-2abx)^4=(-2)^4a^4b^4x^4=16a^4b^4x^4\\\\(-am)^3=(-1am)^3=(-1)^3a^3m^3=-1a^3m^3=-a^3m^3\\\\(-xn)^4=(-1xn)^4=(-1)^4x^4n^4=1x^4n^4=x^4n^4$

4 0

3 years ago

Calculate cos(480°) and sin(480°).

hram777 [196]

Answer:

$\cos(480^\circ)=-\dfrac{1}{2}$

$\sin(480^\circ)=\dfrac{\sqrt{3}}{2}$

Step-by-step explanation:

Calculate the value of trigonometry function.

$\cos(480^\circ)$ and $\sin(480^\circ)$

Split the angle between 0 to 90° using trigonometry formula.

$\Rightarrow \cos(360^\circ+120^\circ)$

$\Rightarrow \cos(120^\circ)$ $\because \cos(360+\theta)=\cos\theta$

$\Rightarrow \cos(180^\circ-60^\circ)$ $\because 120=180-60$

$\Rightarrow -\cos(60^\circ)$ $\because \cos(180-\theta)=-\cos\theta$

$\Rightarrow -\dfrac{1}{2}$

Therefore, cos(480°) = -0.5

$\Rightarrow \sin(360^\circ+120^\circ)$

$\Rightarrow \sin(120^\circ)$ $\because \sin(360+\theta)=\sin\theta$

$\Rightarrow \sin(180^\circ-60^\circ)$ $\because 120=180-60$

$\Rightarrow \sin(60^\circ)$ $\because \sin(180-\theta)=\sin\theta$

$\Rightarrow \dfrac{\sqrt{3}}{2}$

Therefore, sin(480°) = 0.866

7 0

4 years ago

Which expression shows the number 19.65 correctly decomposed?

sdas [7]

Answer:O 10-9 -0.6 -0.05

Step-by-step explanation:Hope it help

8 0

3 years ago

Read 2 more answers