Which equation represents the line that passes through the points (6 -3) and (-4 -9)

Answers

Answer 1

Answer: This answer will get deleted...but I do not have time to post the work on this one..

m= 3/5

b=-33/5

$y= (3)/(5) x+- (33)/(5)$

Thus, your equation.

Answer 2

Answer: Lets first find the slope:
(y₂-y₁)=m(x₂-x₁)
(-9-(-3)) = m(-4-6)
-6 = m(-10)
Isolate m:
$(-6)/(-10)$ = $(m(-10))/(-10)$
-10 and -10 cancels out
$(-6)/(-10)$ = m
$(3)/(5)$ = m

Now we know the slope, which is $(3)/(5)$

The equations is
y = mx + c
Take any two coordinates from the given above

Im taking (6,-3)
Plug in those coordinates and the slope to the formula

-3 = $(3)/(5)$ (6) + c
-3 = $(18)/(5)$ + c
Isolate c
-3 - $(18)/(5)$ = c
$- (33)/(5)$ = c
which gives us:
-6.6 = c

Now plug in the slope and c in the equation:

y = $(3)/(5)$ x+ (-6.6)
or
y = $(3)/(5)$ x +(- $(33)/(5)$ )

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3.7 mi/min

Answers

its 222 the answer is 222

Find f(-11/5) if f(n) = 5n + 6.. A) -17. B) 5. C) -6

Answers

$f(n)=5n+6\n\nf\left(-(11)/(5)\right)=?\n\nsubtitute\ n=-(11)/(5)\ to\ the\ equation:\n\nf\left(-(11)/(5)\right)=5\cdot\left(-(11)/(5)\right)+6=-11+6=-5$

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What is the answer

Answers

line r is parallel because they don’t intersect

There are 10 vehicles in a parking lot: 3 SUVs and 7 trucks. What is the probability that any 7 randomly chosen parking spots have 2 SUVs and 5 trucks OR 3 SUVs and 4 trucks?

Answers

We have to calculate the probability that any randomly choosen parking spots have 2 SUVs and 5 trucks or 3 SUVs and 4 trucks. We will use the formula with combinations: P = ( 3C2 * 7C5 ) / ( 10C7) + ( 3C3 * 4C7) / ( 10C7). For example: 10C7 = 10! / 7!*(10-7)! = 10!/7!*3!= 10*9*8/3*2*1 = 120, etc. P = ( 3 * 21 ) / 120 + ( 1 * 35 ) / 120 = 63 / 120 + 35 / 120 = 98 / 120 = 0.8166. Answer: The probability is 0.8166 or 81.66%.

One of diagonals of a parallelogram is its altitude. What is the length of this altitude, if its perimeter is 50 cm, and the length of one side is 1 cm longer than the length of the other?

Answers

The length of that altitude is 5 cm.

Explanation

According to the below diagram, $ABCD$ is a parallelogram with diagonal $\overline{AC}$ as its altitude.

Suppose, the length of side $\overline{AB}$ is $x$ cm.

As the length of one side is 1 cm longer than the length of the other, so the length of side $\overline{BC}$ will be: $(x+1) cm$

Given that, the perimeter of the parallelogram is 50 cm. So, the equation will be.....

$2[x+(x+1)]=50\n \n 2(2x+1)=50\n \n 4x+2=50\n \n 4x=48\n \n x= 12$

So, the length of $\overline{AB}$ is 12 cm and the length of $\overline{BC}$ is (12+1)= 13 cm.

Suppose, the length of the altitude( $\overline{AC}$ ) is $h$ cm.

Now, in right angle triangle $ABC$ , using Pythagorean theorem....

$(AC)^2+(AB)^2= (BC)^2\n \n h^2+(12)^2= (13)^2\n \n h^2+144= 169\n \n h^2= 25\n \n h= √(25)= 5$

So, the length of that altitude is 5 cm.

In the addition problem below, different letters stand for different digits. What five-digit number does SERVE represent?V C R + V C C T = S E R V E

Answers

Answer:

Hi,

10390

Step-by-step explanation:

SERVE is 10390

943+9447=10390

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