All categories

3 years ago

Which line is perpendicular to the given equation: y=2x+17

Mathematics

1 answer:

pentagon [3]3 years ago

8 0

Answer:

$\large\boxed{y=-\dfrac{1}{2}x+b,\ \text{wher}\ b\in\mathbb{R}.}$

Step-by-step explanation:

$\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\==========================\\\\\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\==========================\\\\\text{We have the equation of the line:}\ y=2x+17\to m_1=2.\\\\\text{Therefore}\ m_2=-\dfrac{1}{2}.\\\\\text{The equation of a line:}\ y=-\dfrac{1}{2}x+b,\ \text{wher}\ b\in\mathbb{R}.$

You might be interested in

Help please Inequality

Alinara [238K]

Answer:

D I think most likely

Step-by-step explanation:

9 would be your answer to your left side and its close to 10 so 9 would work I guess.

8 0

3 years ago

I forgot how to multiply by division and multiplication. It’s been such a long time since I’ve done it i’ve practically forgot h

levacccp [35]

Answer:

First, multiplication:

Multiplication is repeated addition, there's really no way to put it simpler. For example:

4 × 6 = 24 because 4 + 4 + 4 + 4 + 4 + 4 = 24

3 × 3 = 9 because 3 + 3 + 3 = 9

9 × 2 = 18 because 9 + 9 = 18

Multiplication, like addition, can also work backwards, so 6 × 4 is also 24, 2 × 9 is 18, and so on.

I recommend practicing your times tables up to 12 if your remembrance has gotten really bad.

Now division:

Division has the same properties as multiplication, except with subtraction. The difference, however, is that division does not work backwards. It's the same as subtraction.

Here are some examples for division:

6 ÷ 3 = 2 because 6 - 3 - 3 = 0 (3 can be subtracted twice, so the answer is 2)

12 ÷ 4 = 3 because 12 - 4 - 4 - 4 = 0

20 ÷ 2 = 10 because 20 - 2 - 2 - 2 - 2 - 2 - 2 - 2 - 2 - 2 - 2 = 0

I'd recommend practicing your long division if you are struggling.

Hope this helped you! If you have any more questions, send me a friend request and I'll check for more questions every so often. :)

5 0

3 years ago

The teacher tells the class the highest marks obtained by a student in her class is twice the lowest marks plus 7 . the highest

Ilya [14]

Answer:

Step-by-step explanation:

highest=2(lowest)+7

Replace the variables here:

87=2(lowest)+7

minus 7 on both sides

80=2(lowest)

divide both sides by 2

40=lowest

7 0

3 years ago

Which of the following illustrates the truth value of the given conditional statement? p: 2 + 2 = 4 q: 7 + 1 = 7 T F → F T T → T

musickatia [10]

Answer:

T F → F is the correct answer.

Step-by-step explanation:

In the given question if p illustrates p: 2 + 2 = 4

which is true so the truth value of this statement p is True.

Now the other statement q illustrates q: 7 + 1 = 7

Which is a false statement so the truth value of this statement is False.

As we know when "p→q ( p implication q), the truth value of implication is False only when truth value of p is True and for statement q the truth value is False."

We can see from the truth table truth value of p→q will be False.

So T F → F

4 0

4 years ago

What is 127 as a percent?

kondor19780726 [428]

Hello!

The answer is 127,000%

3 0

3 years ago