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3 years ago

Find the slope that is PARALLEL and PERPENDICULAR to the equation of the line y = -1/2x+6.

Mathematics

1 answer:

kifflom [539]3 years ago

3 0

Answer:

parallel: -1/2

perpendicular: 2

Step-by-step explanation:

lines that are parallel have the same slope because they never intersect

lines that perpendicular, have the opposite reciprocal slope.

y = mx + b

where m is the slope

y = -1/2x + 6

-1/2 is the slope.

the slope in the equation given: -1/2

the slope parallel to the line given : -1/2

the slope perpendicular : opposite reciprocal, so the opposite of -1/2 is 1/2 and the reciprocal of 1/2 is 2.

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whats the answer of the problem peter is 3 years older than his sister Anna. if times their combined age is 85 . determine Annas

jeyben [28]

Answer:

Anna is 41 years old.

Step-by-step explanation:

Easiest way to do this is by building a equation,

Lest say Anna's age is $x$ .

Then as Peter is 3 years older than Anna Peter's age should be $x+3$ .

Then the combined ages of the two people is given as 85. So we can write an equation as,

$x+(x+3)=85$

$x+x+3=85$

$2x+3=85$

$2x+3-3=85-3$ (deducting 3 from both sides of the equation)

$2x=82$

$x=41$

As we originally took Anna;s age as $x$

We can say Anna is 41 years old.

4 0

3 years ago

Give an exact value, not a decimal approximation

dsp73

Answer:

Sinθ = 24/25

Step-by-step explanation:

Sinθ = Opposite/Hypotenuse

Solve for the opposite side using the Pythagorean Theorem.

$a^2+b^2=c^2\\7^2+b^2=25^2\\49+b^2=625\\b^2=576\\b=24$

Therefore, Sinθ = 24/25.

6 0

3 years ago

If an amount of $100in a savings account increases by 10% percent again,is that the same as increasing by 20%?

damaskus [11]

Yes because 20% is the same as 10%*2

5 0

3 years ago

Read 2 more answers

A worker is paid $9.80 per hour, with time and a half for any hours over 40 per week. If he works 44 hours in a week, what will

bezimeni [28]

b. 450.80

you multiply 40 x 9.80 ...equals 392.

take 1/2 of 9.80...that equals 4.90. 
4.90 plus 9.80 equals $14.70 x 4 = 58.80 

$58.80 plus 392. equals $450.80

4 0

4 years ago

Can anyone help me out?

vladimir2022 [97]

Answer:

55° because 2and 6 are corresponding angles (they are equal)

6 and 8 are vertically opposite angles (they are equal)

Step-by-step explanation:

hope this is helpful

7 0

3 years ago