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2 years ago

Use the given information to write a linear equation in slope- intercept form...

Mathematics

1 answer:

leva [86]2 years ago

4 0

Answer:

y= -2x + (-6)

y= -2x - 6

both work !

Step-by-step explanation:

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Identify the quotient in the form a + bi. HELP ASAP PLEASE!!

Step2247 [10]

Solving the expression $\frac{4-5i}{2+3i}$ we get $-\frac{7}{13}-\frac{22i}{13}$

So, Option A is correct.

Step-by-step explanation:

We need to solve the expression: $\frac{4-5i}{2+3i}$

Multiplying and dividing by 2-3i

$=\frac{4-5i}{2+3i}*\frac{2-3i}{2-3i}\\=\frac{4-5i*2-3i}{2+3i*2-3i}\\=\frac{4(2-3i)-5i(2-3i)}{(2)^2-(3i)^2}\\=\frac{8-12i-10i+15i^2)}{4-9i^2}\\We\,\,know\,\, i^2=-1\\=\frac{8-12i-10i+15(-1)}{4-9(-1)}\\=\frac{8-15-12i-10i}{4+9}\\=\frac{-7-22i}{13}\\=-\frac{7}{13}-\frac{22i}{13}$

So, solving the expression $\frac{4-5i}{2+3i}$ we get $-\frac{7}{13}-\frac{22i}{13}$

So, Option A is correct.

Keywords: Complex numbers

Learn more about Complex numbers at:

#learnwithBrainly

8 0

3 years ago

If you solve using the equation for the constant of proportionality, y/x = k with k = 4/5 and y = 2/3, what is the value of x?

ruslelena [56]

Answer:

x=5/6

Step-by-step explanation:

k=4/5

3 and 5 can go into 15

10/15 and 12/15

10/15 divided by x =12/15

x=5/6

6 0

3 years ago

Read 2 more answers

The speeds of cars on a given i street we are normally distributed with a mean of 72 miles per hour and a standard deviation of

Ostrovityanka [42]

Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Step-by-step explanation:

Let X be a random variable that represents the speed of the drivers.

Given: population mean : M = 72 miles ,

Standard deviation: s= 3.2 miles

The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:

$P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278$

Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

3 0

3 years ago

I just need help with first 2! Show work please it’s due soon and round answers to the nearest tenth !!!

natima [27]

Answer:

1. To find the volume of a cylinder you'll need to use the formula V = pi(r)^2(h)

V = pi(4)^2(6)

V = 301.59

Rounded* = 301.6

2. A beach ball is a sphere, so we're going to use the formula 4/3pi(r)^3

4/3pi(18)^3

D = 24429.02

Rounded* = 24429.0

I cant read the last one completely, hope this helps.

5 0

2 years ago

Identify each as an example of exponential growth or decay. What is the y-intercept? What is the end behavior? 1)y=10(0.45)^x 2)

jeyben [28]

The best answer is number 1

5 0

3 years ago