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3 years ago

Which of the following are equations of perpendicular lines?

Mathematics

1 answer:

Alex787 [66]3 years ago

4 0

I believe that b. y= -1/2x+3 , y= 2x-3 is the correct answer

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Perform the indicated operation and write the result in the form a+bi: (4/7 - i)(8/7 + 7/5i)

aivan3 [116]

We will apply the "FOIL" method for multiplying two binomials. In this method you will:

Multiply the First terms of each binomial
Multiply the Outside terms of each binomial
Multiply the Inside terms of each binomial
Multiply the Last terms of each binomial
Add all of the new terms you have just found together

The mathematical representation of the FOIL method is shown as:

$(a + b)(c + d) = ac + ad + bc + bd$

Let's apply the FOIL method.

The first two terms of each binomial are $\frac{4}{7}$ and $\frac{8}{7}$ . Multiplied together, we find the new term of $\frac{4}{7} \cdot \frac{8}{7} = \frac{4 \cdot 8}{7 \cdot 7} = \frac{32}{49}$ .
The outside two terms are $\frac{4}{7}$ and $\frac{7}{5} i$ . Multiplied together, these two terms are $\frac{4}{7} \cdot \frac{7}{5}i = \frac{4 \cdot 7}{7 \cdot 5}i = \frac{28}{35}i$ .
The inside two terms are $-i$ and $\frac{8}{7}$ . Multiplied together, these two terms are $- \frac{8}{7} i$ .
The last two terms are $-i$ and $\frac{7}{5} i$ . Multiplied together, these two terms are $-i \cdot \frac{7}{5}i = -\frac{7}{5} i^2$ . Remember though that $i^2 = 1$ , so our new term is actually $\frac{7}{5}$ .
Added together, we get: $\frac{32}{49} + \frac{28}{35} i - \frac{8}{7} i + \frac{7}{5} = \frac{160}{245} + \frac{196}{245}i - \frac{280}{245}i + \frac{343}{245} = \frac{503}{245} - \frac{84}{245} i = \frac{503}{245} - \frac{12}{35}i$ .

Our final answer is $\boxed{\frac{503}{245} - \frac{12}{35}i}$ .

7 0

3 years ago

Beatrice pushes with a force of 40N . how can you you determine if Beatrice is doing work on the box ?

OLEGan [10]

The results of her effort can be grouped
into two general categories:

Category #1:
The box does not move.
No work is done.

Category #2:
The box does move.
Work is done.

5 0

3 years ago

Ok y’all i need to know something.

Vladimir [108]

Answer:

yah if all your grades are A's and B's

Step-by-step explanation:

6 0

3 years ago

The total square footage of mini storage units being rented in a city is graft to forecast future demand the scatter plot has a

Klio2033 [76]

Answer:

I believe the answer is 16,000 sq ft

4 0

3 years ago

Read 2 more answers

I need help its a math question ( sorry i have nothing to put here and it wants me to put something)

Lisa [10]

Answer:

B. (2, 3)

General Formulas and Concepts:

Algebra I

Solving systems of equations using graphing

Step-by-step explanation:

Step 1: Define system

y = x + 1

y = -1/2x + 4

Step 2: Identify Solution

The solution to the systems of equations when graphed will be where the 2 lines intersect. According to the graph, the 2 lines intersect at (2, 3).

4 0

3 years ago