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Romashka-Z-Leto [24]
2 years ago
10

What is the slope of a line perpendicular to the line y=2x+5 ?

Mathematics
1 answer:
blsea [12.9K]2 years ago
7 0

Answer:

1/2.

Step-by-step explanation:

the slope of a line perpendicular to another is the reciprocal of the original lines slope.

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Determine if (x+1) is a factor 4x^2 + 2x - 5Use synthetic division
ikadub [295]

Given

4x^2+2x-5

Divide it by (x+1) using synthetic division, as shown below

The green line is a minus sign.

Thus,

\Rightarrow4x^2+2x-5=(x+1)(4x-2)-3

Therefore, since the remainder is different than zero, (x+1) is not a factor of 4x^2+2x-5

6 0
1 year ago
Find the measure of a dilated image of segment CD, 5 units long, with a scale factor of 4?
Amiraneli [1.4K]
The measure would be 20 since five times four is 20
8 0
3 years ago
peanuts in bulk bins at the grocery store costs $0.30 per pound how much would 2 pounds of peanuts cost
Helen [10]
$0.60 cents would be the cost of 2 lbs
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3 years ago
3 years ago a father was 3 times as old as his son, in five years time he will be twice as old as his son, what will be the sum
ivolga24 [154]

Answer: 46 years

Step-by-step explanation:

Let the father's age be x and the son's age be y, then 3 years ago:

Father = x - 3

son     = y - 3

Then , from the first statement :

x - 3 = 3 ( y - 3 )

x - 3 = 3y - 9

x     = 3y - 9 + 3

x     = 3y - 6 .......................................... equation 1

In five years time

father = x + 5

son = y + 5

Then , from the second statement

x + 5 = 2 ( y + 5 )

x + 5 = 2y + 10

x       = 2y + 10 - 5

x       = 2y + 5 ........................ equation 2

Equating equation 1 and 2 , we have

3y -6 = 2y + 5

add 6 to both sides

3y = 2y + 5 + 6

subtract 2y from both sides

3y - 2y = 11

y = 11

substitute y = 11 into equation 1 to find the value of x

x = 3y - 6

x = 3(11) - 6

x = 33 - 6

x = 27

This means that the father is presently 27 years and the son is presently 11 years.

In four years time

father = 27 + 4 = 31

son = 11 + 4      = 15

sum of their ages in four years time will be

31 + 15 = 46 years

5 0
3 years ago
Read 2 more answers
Dario buys applesauce for a family reunion. He needs 23 cups, and he buys them in packs of 6. How many packs does Dario need?
hodyreva [135]
He has to buy 4 packs. If you divide 23 by 6, you get 3.833 but you can’t buy a fraction of a pack so you have to round up and buy 4 packs. Hope this made sense; I can explain further if needed!
4 0
3 years ago
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