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3 years ago

**Please help! - What is the equation in standard form of the line that has x-intercept -4 and y-intercept 3.

Mathematics

1 answer:

NeTakaya3 years ago

4 0

In standard form the equation is 3x + -4y = -12

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If x=(10-3i) and y=(3-10i), then xy=? and x/y=?

Solnce55 [7]

Answer:

$xy=-109i$

$\frac{x}{y}=\frac{60}{109}+\frac{91}{109}i$

Step-by-step explanation:

$xy=(10-3i)(3-10i)$

To compute x times y must use foil on the right hand side.

First: $10(3)=30$

Outer: $10(-10i)=-100i$

Inner: $-3i(3)=-9i$

Last: $-3i(-10i)=30i^2=-30$

------------------------------------Add like terms:

$-109i$

----------------

$\frac{x}{y}$

$\frac{10-3i}{3-10i}$

Multiply top and bottom by bottom's conjugate:

$\frac{(10-3i)(3+10i)}{(3-10i)(3+10i)}$

Foil the top and just do first and last of Foil for the bottom since the bottom contains multiplying conjugates:

$\frac{30+100i-9i-30i^2}{9-100i^2}$

Replace $i^2$ with -1:

$\frac{30+91i+30}{9+100}$

$\frac{60+91i}{109}$

$\frac{60}{109}+\frac{91}{109}i$

7 0

3 years ago

The pottery class has 14 pounds of clay. Each student got 1/3 of a pound of clay to make a plate. How many plates did the studen

Taya2010 [7]

14 divided by 1/3= 42 so 42 plates. Hope it helps! P.S. Can you mark me brainliest if I'm right?

4 0

3 years ago

Read 2 more answers

Please give me the answer.

VikaD [51]

Answer:

(2,-7)

Step-by-step explanation:

Plug in the numbers to test and see if it gives you -17 and -8.

Option 1. 2(-4)+3(2)

= -8+6 = -2. Not it.

Option 2. 2(2)+3(-7)

4 - 21 = -17 Works. Try the second equation to make sure.

3(2)+2(-7)

6-14 = -8. Works.

(2,-7) is the answer.

4 0

3 years ago

Car A's fuel efficiency is 34 miles per gallon of gasoline, and car B's fuel efficiency is 23 miles per gallon of gasoline. At t

Verdich [7]

Answer:

22 more gallons.

Step-by-step explanation:

Given:

Car A's fuel efficiency is 34 miles per gallon of gasoline.

Car B's fuel efficiency is 23 miles per gallon of gasoline.

Question asked:

At those rates, how many more gallons of gasoline would car B consume than car A on a 1,564 miles trip?

Solution:

Car A's fuel efficiency is 34 miles per gallon of gasoline.

By unitary method:

Car A can travel 34 miles in = 1 gallon

Car A can travel 1 mile in = $\frac{1}{34} \ gallon$

Car A can travel 1564 miles in = $\frac{1}{34} \times1564=46\ gallons$

Car B's fuel efficiency is 23 miles per gallon of gasoline.

Car B can travel 23 miles in = 1 gallon

Car B can travel 1 mile in = $\frac{1}{23} \ gallon$

Car B can travel 1564 mile in = $\frac{1}{23} \times1564=68\ gallons$

We found that for 1564 miles trip Car A consumes 46 gallons of gasoline while Car B consumes 68 gallons of gasoline that means Car B consumes 68 - 46 = 22 gallons more gasoline than Car A.

Thus, Car B consumes 22 more gallons of gasoline than Car A consumes.

6 0

3 years ago

Fraction with a denominator of 10 can be written as an equivalent fraction with

AVprozaik [17]

Answer:

9/10 is 90%

Step-by-step explanation:

You just make it a percentage

5 0

3 years ago