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3 years ago

Explain the distance formula. Then use it to calculate the distance between A(1,1) and B(7,-7).

1 answer:

3 0

The distance formula:
$d= \sqrt{ (x_{2} - x_{1}) ^{2}+ (y_{2} -y_{1}) ^{2} }$

A(1,1) B(7,-7)

$d= \sqrt{ (7 - 1) ^{2}+ (-7 -1) ^{2} }$

$d= \sqrt{ (6) ^{2}+ (-8) ^{2} }$

$d= \sqrt{ 36 + 64 }$

$d= \sqrt{ 100 }$

$d=10$

The answer is 10

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Find d.

miv72 [106K]

Answer:

i dont know if its right since i havent done trig in ages but

$3 \sqrt{3}$

Step-by-step explanation:

tan(30)x9?

put the opposite angle inside the () since were doing toa which is tan(sin)=opposite/adj

so if we rearrange the formula to make opposite the subjects its

opposite=tan x adj

this is probably wrong so u might want to check with someone else

5 0

3 years ago

The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{II}IIstart text, I, I, end text, a

andrew11 [14]

Answer:

$\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}$

Step-by-step explanation:

The angle $\theta_1$ is located in Quadrant II.

$\sin(\theta_1)=\dfrac{1}{4}$

From trigonometry, we know that:

$\sin(\theta)=\dfrac{Opposite}{Hypotenuse}\\$Therefore:\\Opposite=1\\Hypotenuse=4\\Using Pythagorean theorem:\\Hypotenuse^2=Opposite^2+Adjacent^2\\4^2=1^2+Adjacent^2\\Adjacent^2=16-1\\Adjacent^2=15\\Adjacent=\sqrt{15}$

Now, in Quadrant II,

The x-axis is negative
The y-axis is positive

Therefore, the Adjacent angle to $\theta_1 =-\sqrt{15}$

Therefore:

$\cos(\theta_1)=\dfrac{Adjacent}{Hypotenuse}=\dfrac{-\sqrt{15}}{4}\\\\\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}$

8 0

3 years ago

15 pts + brainliest to right/best answer

hjlf

Split the second term in 2x^2 - x - 6 into two terms

2x^2 + 3x - 4x - 6

Factor out common terms in the first two terms, then in the last two terms

x(2x + 3) - 2(2x + 3)

Factor out the common term 2x + 3

6 0

3 years ago

Read 2 more answers

VDG~VNQ what is the value of x?

Daniel [21]

Answer:

x= 8

Step-by-step explanation:

60/48=1.25

15/1.25= 12

12-4=8

8 0

3 years ago

Josiah ran 4/5 mile. How many tenths are equal to 4/5 mile. using a bar duagram

natita [175]

Multiply both numerator and denominator by 2.
4*2 = 8 & 5*2 = 10
4/5 is thus equal to 8/10 or eight-tenths.

With a bar duagram, just divide/split it up evenly into 5 parts then colour in 4 of the pieces. Then, divide as a whole now make it so there's 10 parts - do this by splitting each 5 parts into 2 (put line through middle) to make 10 parts. Now you will see that there is 8 parts that are coloured in for 10 pieces compared to 4 coloured parts when there was 5 pieces.

7 0

3 years ago