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4 years ago

How would you find the equation of a line that is perpendicular to y = 3x + 1 and passes through point (1, -1)?

1 answer:

7 0

perpendicular means the slopes of the two lines are opposite reciprocals. Since the slope of y = 3x + 1 is "3", then the opposite reciprocal slope is $\frac{-1}{3}$

Next, plug in the slope ( $\frac{-1}{3}$ )and point (1, -1) into the point-slope formula: y - y₁ = m(x - x₁); where (x₁, y₁) is the point.

y - (-1) = $\frac{-1}{3}$ (x - 1)

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

y = $\frac{-1}{3}$ x + $\frac{-2}{3}$

You might be interested in

HURRY PLEASE HELP. Point J is located at – 4. Points K and L are each 5 units away from Point J. Where are K and L located?

Sindrei [870]

Answer:

It depends in which direction "away" means. If they are five units to the right then the answer should be 1. if they are 5 points away to the left then the answer would be -9.

Step-by-step explanation:

Basically it depends,

if its indicating to the right the equation would be=

-4+5=x

which to do this negative cancells out its positive, so you can just subtract their absolute values. 5-4=1. And to know which symbol it has you just indicate which factor has the greated absolute value. (aka 5 which is positive so the answer should be positive).

-----------------------------

if its to the left then the equation would be=

-4-5= x

(negative four subtracted by four)

and the easier way to do this would be to turn this equation into addition.

the new equation shall be: -4+(-5)=-9 since they are both negative integers the sum should be negative.

8 0

3 years ago

Which is true about the polynomial –8m3 + 11m?

Mumz [18]

Answer:

b) It is a binomial with a degree of 3.

Step-by-step explanation:

We need to find about which is true about the polynomial –8m3 + 11m from the given choices.

There are two terms so it is binomial.

Highest exponent on variable m is 3 so degree is 3.

Correct matching choice is "It is a binomial with a degree of 3."

Hence final answer is choice "b) It is a binomial with a degree of 3."

4 0

3 years ago

Read 2 more answers

With three boys on a large scale, it read 170 pounds. When Adam stepped off, the scale read 100 pounds. When both Adam and Ben s

Elden [556K]

Answer:

Adam = 70 pounds

Ben = 40 pounds

C = 60 pounds

Step-by-step explanation:

We can work out some equations based on the given information:

We can call the boys A, B and C

so,

when all three boys are standing on the scale, it reads 170 pounds.

$A + B + C = 170$ - Eq(1)

when Adam stepped off, the scale reads 100. This means that the combined weight of the remaining two boys is 100.

$B + C = 100$ - Eq(2)

when both Adam and Ben stepped off, the weight of the remaining boy is shown on the scale.

$C = 60$

So we already knew the weight of boy C. (it was in the question all along)

$C = 60$ pounds

Now to find the individual weights of the remaining boys, we can work our way backwards

we can put this value back in Eq(2), to find the weight of boy B.

$B + C = 100$

$B + 60 = 100$

$B = 100 - 60$

$B = 40$

the

the weight of boy B (Ben) is $B = 40$ pounds

now we can put all of the known weights of the boys in Eq(1) to find the weight of Boy A.

$A + B + C = 170$

$A + 40 + 60 = 170$

$A + 100 = 170$

$A = 170 - 100$

$A = 70$

the weight of boy A (Adam) is $A = 70$ pounds

The Answer:

Adam = 70 pounds

Ben = 40 pounds

C = 60 pounds

7 0

4 years ago

3rd question, I’m sorry guys but I was sick that’s why I didn’t attend school and the teacher said if I didn’t submit it by 5 ho

aniked [119]

Answer:

21. ΔUYZ Obtuse

22. ΔBCD Right or Rectangle

23. ΔADB Acute

24. ΔUXZ Acute

25. ΔUWZ Right or Rectangle

26. ΔUXY Equiangular and acute

Step-by-step explanation:

We need to classify each triangle by its angles.

Acute: They have 3 acute angles (less than 90 degrees).

Rectangle: The inner angle A is straight (90 degrees) and the other 2 angles are sharp. The sides that form the right angle are called legs (c and b), the other side hypotenuse.

Obtuse: The inner angle A is obtuse (more than 90 degrees). The other 2 angles are acute.

ΔUYZ Obtuse The inner angle Y is obtuse (more than 90°).

ΔBCD Right or Rectangle The inner angle C is straight (90°).

ΔADB Acute It has 3 acute angles (less than 90°).

ΔUXZ Acute It has 3 acute angles (less than 90°).

ΔUWZ Right or Rectangle The inner angle W is straight (90°).

ΔUXY Equiangular and acute Which means all the inner angles are equal (60°).

3 0

3 years ago

Which equation is equivalent to n + 4 = 11? *

tresset_1 [31]

Answer: b.

Step-by-step explanation: I have the answer sheet

6 0

3 years ago