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stepladder [879]
4 years ago
10

Write an equation passing through the point and perpendicular to the given line: (-3,5);y = 3/4x-4

Mathematics
1 answer:
balandron [24]4 years ago
7 0

Hey!

So the first thing we realize is that it says that the equation is perpendicular to the line, meaning that the slope of the line is the negative reciprocal of the slope of the line you are given. Since we are given the slope of this line as 3/4 we can take the negative reciprocal of this to get -(4/3).

Now that we have the slope and a point on the line you can plug those into the equation y = mx + b to find b. The slope of the line is m and the point contains the x and y values.

5 = -(4/3)(-3) + b

5 = 4 + b

1 = b

Since we have the y-intercept and the slope now we can plug that into the slope-intercept form equation to get the equation we need:

y = -(4/3)x + 1

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Question 8 (1 point)
AleksandrR [38]

Answer:

solution is x=3

Step-by-step explanation:

logx-log3=log(x-2)

apply log property

log a- log b= log a/b

logx-log3=log(x-2)\\log (\frac{x}{3} )=log(x-2)

we have log on both sides

so we remove the log and make the arguments equal

\frac{x}{3} = x-2

solve for x, multiply whole equation by 3

x=3(x-2)\\x=3x-6\\x-3x=-6\\-2x=-6\\x=3

now plug in 3 for x  and check

logx-log3=log(x-2)\\log3-log3=log(3-2)\\0=0

solution is x=3

8 0
3 years ago
What is 78% of $650?
yKpoI14uk [10]

Answer:

$507

Step-by-step explanation:

you should use desmos :)

7 0
3 years ago
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A soccer ball kicked from the ground with an initial velocity of 32 ft/s is given by the function
Greeley [361]

Answer:

In words the answer is between t=0 and t=2.

In interval notation the answer is (0,2)

In inequality notation the answer is 0<t<2

Big note: You should make sure the function I use what you meant.

Step-by-step explanation:

I hope the function is h(t)=-16t^2+32t because that is how I'm going to interpret it.

So if we can find when the ball is on the ground or has hit the ground (this is when h=0) then we can find when it is in the air which is between those 2 numbers.

0=-16t^2+32t

0=-16t(t-2)

So at t=0 and t=2

So the ball is in the air between t=0 and t=2

Interval notation (0,2)

Inequality notation 0<t<2

6 0
3 years ago
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What is the slope of the line?​
Eddi Din [679]

Answer:

-1

Step-by-step explanation:

Choose two point on that line such as (1,1) and (2,0)

Then use slope formula y-y/x-x

1-0/1-2 = 1/-1  =  -1

8 0
3 years ago
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What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?
anyanavicka [17]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f( - 4) = 4( - 4) + 9 =  - 7

_________________________________

f( - 2) = 4( - 2) + 9 = 1

_________________________________

f(0) = 4(0) + 9 = 9

_________________________________

f(2) = 4(2) + 9 = 17

_________________________________

Thus ;

R = { - 7 , 1 , 9 , 17 }

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( D )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

3 0
3 years ago
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