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2 years ago

If 2x+3y=6 and -5x+2y=4 then what is x and y??

Mathematics

1 answer:

zalisa [80]2 years ago

8 0

Answer:

x=0 y=2

Step-by-step explanation:

2x+3y=6 .... 1

-5x+2y=4 .... 2

Multiply 5 with equation 1 and multiply 2 with equation 2

Then we get

10x+15y=30

-10x+4y=8

-10x and +10x get canceled so 19y=38

y=38/19=2

substitute y value in equation 1 or 2 and find the value to get x

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A satellite is 19,000 miles from the horizon of Earth. Earth’s radius is about 4,000 miles. Find the approximate distance the sa

Jobisdone [24]

Answer:

The approximate distance is 15416 miles....

Step-by-step explanation:

We have given:

A satellite is 19,000 miles from the horizon of earth.

The radius is 4,000 miles.

Lets say that BC =x

AO = OB = 4,000 miles

AC = 19,000 miles

The tangent from the external point forms right angle with the radius of the circle.

So in ΔABC

(OC)² = (AC)²+(OA)²

where OC = x+4000

AC = 19,000

OA = 4000

Therefore,

(x+4000)² = (19,000)² +(4,000)²

Take square root at both sides:

√(x+4000)² = √(19,000)² +(4,000)²

x+4000 =√361000000+16000000

x+4000 = √377000000

x+4000 = 19416.48

x= 19416.48 - 4000

x = 15416.48

Therefore the approximate distance is 15416 miles....

6 0

3 years ago

A triangle with three 60° angles is always a/an _______________ triangle.

ki77a [65]

It’s called an equilateral triangle because all sides are even. A triangle equals 180 degrees. So, 60 degrees x 3 sides = 180 degrees

7 0

3 years ago

Each marble bag sold by Yolanda's Marble Company contains 8 orange marbles for every 5 yellow marbles.

Stells [14]

Answer:

64.

Step-by-step explanation:

By proportion to number of orange marbles = (40 / 5) * 8

= 320 / 5

= 64 .

7 0

3 years ago

Kyoko is reading a book by her favorite author. She read the first 20 pages in One-half of an hour. Reading at the same pace, Ky

eduard

Answer:

It will take her 3 hours to read 120 pages.

Step-by-step explanation:

The number of pages read(y) after x hour can be modeled by a linear function in the following format:

$y = ax + b$

In which a is the number of pages read per hour and b is the initial number of pages read.

A straight line goes through (0, 0)

This means that when $x = 0, y = 0$

$y = ax + b$

$0 = a*0 + b$

$b = 0$

(0.5, 20)

When $x = 0.5, y = 20$

$y = ax$

$20 = 0.5a$

$a = \frac{20}{0.5}$

$a = 40$

The function in:

$y(x) = 40x$

According to the graph, which statement must be true?

It will take her 2 hours to read 60 pages.

$y(2) = 40*2 = 80$

Less than 2 hours for 60 pages, so this is false.

It will take her 3 hours to read 120 pages.

$y(3) = 40*3 = 120$

This statement is true.

It will take her 4 hours to read 180 pages.

$y(4) = 40*4 = 160$

More than 4 hours to read 180 pages. So false.

It will take her 5 hours to read 210 pages.

$y(5) = 40*5 = 200$

More than 5 hours to read 210 pages. So false.

6 0

3 years ago

It is 4:15 now.What time was it six hours ago?

Colt1911 [192]

The time was 9:15am or 9:15pm depending on 4:15am or 4:15pm

3 0

3 years ago

Read 2 more answers