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3 years ago

AB is perpendicular to CD. If the slope of AB is 2/5, what is the slope of CD?

Mathematics

1 answer:

alekssr [168]3 years ago

4 0

Given a slope $m$ , the slope $m'$ of a line perpendicular to $m$ is the opposite of the inverse of $m$

In other words:

$mm' = -1 \iff m' = -\dfrac{1}{m}$

So, the slope of CD is -5/2.

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Find the greatest common factor of 10, 30,10,30,10, comma, 30, comma and 454545.

borishaifa [10]

Answer:

GCF = 5

Step-by-step explanation:

Given:

The numbers are given as:

10, 30 and 45

A factor of a number is a number by which the given number is evenly divisible.

Example: 2 is a factor of 4 as $4\div 2 =2$ . So, 4 is evenly divisible by 2 and hence 2 is a factor of 4.

Now, factors of 10 = 1, 2, 5, 10.

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30.

Factors of 45 = 1, 3, 5, 9, 15, 45.

So, the greatest common factor in all the three numbers is 5.

Hence, the greatest common factor of 10, 30 and 45 is 5.

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3 years ago

Given g(x)=-x^2+10x-3 Find g(-3)

inn [45]

Sub g to (-3) and then solve from there using PMDAS and equation solving skills, Photomath is a fantastic resource

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2 years ago

Apples cost $0.75 per pound and bananas cost $1.05 per pound

LuckyWell [14K]

Answer:

The baker bought 8 apples and 4 bananas

Step-by-step explanation:

System of Equations

Let's call:

a = pounds of apples

b = pounds of bananas

The baker bought a total of 12 pounds of apples and bananas, thus:

a + b = 12 [1]

Apple cost $0.75 per pound and each pound of bananas cost $1.05 per pound. Thus the total cost is 0.75a + 1.05b. We know he spent a total of $10.20, thus

0.75a + 1.05b = 10.20 [2]

Solving [1] for a:

a = 12 - b [3]

Substituting in [2]:

0.75(12 - b) + 1.05b = 10.20

Operating

9 - 0.75b + 1.05b = 10.20

Simplifying:

0.30b = 10.20 - 9 = 1.20

Dividing by 0.30:

b = 1.20/0.30

b = 4

From [3]:

a = 12 - 4 = 8

a = 8

The baker bought 8 apples and 4 bananas

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2 years ago

Andie bought 4.85

Ierofanga [76]

The total cost of the cord is $4.75

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3 years ago

Karen purchased 18 bag of “colorful” pebbles to decorate her garden. The 18 bags had a total of 4,356 pebbles. How many pebbles

adoni [48]

Answer:

4,356 divided by 18 is equal to 242 pebbles in each bag.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

AB is perpendicular to CD. If the slope of AB is 2/5, what is the slope of CD?​

AB is perpendicular to CD. If the slope of AB is 2/5, what is the slope of CD?