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ad-work [718]
3 years ago
12

Write an equation of a line that passes through the point (2,0) and is perpendicular to the line y=−1/2x+3.

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
5 0

Answer:

y = 2x - 4

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the line will have a slope of 2.

Plug in the slope and the given point into y = mx + b, and solve for b:

y = mx + b

0 = 2(2) + b

0 = 4 + b

-4 = b

Then, plug in the slope and b into y = mx + b

y = 2x - 4 is the equation of the line

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Furkat [3]

\huge\bold{\purple{\bold{⚡133°⚡}}}

Step-by-step explanation:

Co interior angles' sum is 180°

  • So, 180-67=133
  • 133°
5 0
2 years ago
You are given an unfair coin (i.e. a coin where the probability of it landing on either side is NOT 1/21/2) and told that the pr
andrey2020 [161]

Here we have a problem of probability, we will find that the probability of landing in heads is M/N = 1/3, then we have:

M + N = 1 + 3 = 4.

Let's see how we got that:

Let's define:

p = probability of landing on tails

q = probability of landing on heads.

The probability of getting at least one tails in 3 tosses is 26/27

This means that the probability of not getting tails in the 3 tosses is:

P = 1 - 26/27 = 1/27

And the case where you do not get any tails in the 3 tosses, means that in all the 3 tosses you got heads.

The probability of getting 3 heads in a row is:

P = q^3 = 1/27

Solving for q, we get:

q = ∛(1/27) = 1/3

Now we want to express q = M/N = 1/3

then we have:

M = 1

N = 3

Now we want to compute M + N = 1 + 3 = 4

If you want to learn more about probability, you can read:

brainly.com/question/24369877

6 0
3 years ago
URGENT! 40 POINTS! PLEASE HELP!
umka2103 [35]

Answer:

(a) 8 x(5 x-6)=40 x^{2}-48 x

(c) \begin{aligned}(x-3)(5 x-6) &=5 x^{2}-21 x+18\end{aligned}

Step-by-step explanation:

(a) To find verify the answer we need to multiplying the equation 8 x(5 x-6)

8 x(5 x-6)=40 x^{2}-48 x

Thus, this statement is true.

(b) To find verify the answer we need to multiplying the equation -4 x\left(2 x^{2}+1\right)

-4 x\left(2 x^{2}+1\right)=-8 x^{3}-4 x

Hence, the given statement is false.

(c) To find verify the answer we need to multiplying the equation (x-3)(5 x-6)

\begin{aligned}(x-3)(5 x-6) &=5 x^{2}-6 x-15 x+18 \\&=5 x^{2}-21 x+18\end{aligned}

Hence, the given statement is true.

(d) To find verify the answer we need to multiplying the equation(2 x+3)\left(x^{2}+3 x-5\right)

\begin{aligned}=(2 x+3)\left(x^{2}+3 x-5\right) &=2 x^{3}+6 x^{2}-10 x+3 x^{2}+9 x-15 \\&=2 x^{3}+9 x^{2}-x-15\end{aligned}

Hence, the given statement is false.

4 0
3 years ago
Read 2 more answers
Answer and or help would be much appreciated work is due and needs to be submitted
riadik2000 [5.3K]

Answer:

1. D

2. C

3. B

4. A

Step-by-step explanation:

just match up the number y is on the right side and x on the left side like this (x,y)

4 0
3 years ago
a crane lifts a pallet of concrete blocks 9 ft from the back of the truck. the truck drives away and the crane lowers the pallet
goblinko [34]
Answer:
The final position is 5 feet below the back of the truck
Step-by-step explanation:
* Lets explain how to solve the problem
- A crane lifts a pallet of concrete blocks 8 feet from the back of
a truck
- The crane lowers the pallet 13 feet after the truck drives away
- Assume that the zero level of the position of the ballet of concrete
blocks is the back of the truck
∵ The crane lifts the pallet of concrete blocks 8 feet from the back
of the truck
- That means it take the pallet from zero to 8
∴ The height of the pallet of concrete blocks is 8 feet over
the starting position
∵ The crane lowers the pallet of concrete blocks 13 feet
- That means the crane lower the pallet from the height 8 and
lift it down 13 feet, so we must to take out from the 8 feet the
13 feet to find the final position of the pallet of concrete blocks
∴ The pallet position is ⇒ 8 - 13 = -5
∴ The position of the pallet of concrete blocks is 5 feet below the
starting position which is the back of the truck
* The final position is 5 feet below the back of the truck
8 0
3 years ago
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