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kvv77 [185]
4 years ago
12

Parallel and perpendicular lines

Mathematics
1 answer:
Wittaler [7]4 years ago
8 0

To determine if the lines are parallel or perpendicular, you must find the slope (m).

Parallel lines have the same slope.

Perpendicular lines have slopes that are opposite reciprocals.


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If you subtract my number from 300, or if you add my number to 220, you will get the same result. What is my number?
Oxana [17]

Answer:

40

Step-by-step explanation:

Subtracting a number k from 300 looks like this 300-k.

Adding a number k to 220 looks like this 220+k.

They are saying for some number k that we have 300-k and 220+k is the same value.

That is, 300-k=220+k.

This is the equation we are going to solve for your number.

300-k=220+k

Add k on both sides:

300=220+2k

Subtract 220 on both sides;

80=2k

Divide both sides by 2:

40=k

k=40.

So the number is 40.

Check: 300-40=260 while 220+40=260.

8 0
3 years ago
A polynomial, h(t) = 2t - at + bt + 4 represents Mr. Bill's height in metres at 't seconds. "-Mr." Bill is rapidly approaching a
Fudgin [204]

The value of a and b in terms of equation are; a = 3 + b and b = a + 18.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given polynomial, h(t) = 2t - at + bt + 4 represents Mr. Bill's height in metres at 't seconds. "-Mr." Bill is rapidly approaching a tall brick wall which is 100 metres high and will reach the wall in 3 seconds.

h = 100 metres

t = 3 seconds

Now substitute the values;

h(t) = 2t - at + bt + 4

100 = 2(3) - a(3) + b(3) + 4

100 = 6 - 3a + 3b + 4

3a + 90 = 3b

We need to find out if Mr. Bill will clear the wall or slam into it!

h(t) = 2t - at + bt+4 has a remainder of 9 when divided by (t-1) and a remainder of "-36" when divided by (t+2).

When t = 1

Then;

h(t) = 2t - at + bt + 4

9 = 2(1) - a(1) + b(1) + 4

9 = 6 - a + b

a = 3 + b

When time t = -2

Then; h(t) = 2t - at + bt + 4

-36= 2(-2) - a(-2) + b(-2) + 4

-36 = -4 + 2a - 2b + 4

-18 = a - b

b = a + 18

Learn more about equations here;

brainly.com/question/25180086

#SPJ1

8 0
1 year ago
I need help on this question
xz_007 [3.2K]

I can't see your question

7 0
4 years ago
In a random sample of 535 people 65% said they like cookies with chocolate chips 37% like cookies with peanut butter chips. 25%
Leokris [45]
<h3>The probability that a randomly selected person likes cookies with chocolate or peanut butter chips is 0.77.</h3>

Step-by-step explanation:

Here, the total sample of people has total  535 people.

The percentage of people liking chocolate chip cookies  =  65%

Now, 65% of 535   = \frac{65}{100} \times 535 = 347.75 \approx 348

⇒ 348 people in total like chocolate chip cookies.

⇒ n(C)  = 348

The percentage of people liking peanut butter chip cookies  =  37%

Now, 37% of 535   = \frac{37}{100} \times 535 = 197.95 \approx 198

⇒ 198 people in total like peanut butter chip cookies.

⇒ n(B)  = 198

Percentage of people liking both chocolate &peanut butter chips = 25%  

Now, 25% of 535   = \frac{25}{100} \times 535 =133.75 \approx 134

⇒ 134 people in total like both chocolate &peanut butter chips

⇒ n(C ∩ B )  = 134

Now, n( C U B)  = N(C) + n(B) - n(C ∩ B )

                           = 348 + 198 - 134  = 412

P( person likes cookies with chocolate or peanut butter chips)  

= \frac{\textrm{person likes cookies with chocolate or peanut butter chips}}{\textrm{Total People}}  = \frac{412}{535}  = 0.77

Hence, the probability that a randomly selected person likes cookies with chocolate or peanut butter chips is 0.77.

6 0
3 years ago
Given the system of equations presented here: 3x + 5y = 29 x + 4y = 16 Which of the following actions creates an equivalent syst
lesantik [10]
It would be b. If you combine -3x-5y and 3x+5y, the x's cancel out. That would be the variable.
3 0
3 years ago
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