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4 years ago

5x - 9 = -8y - 3 what’s the x and y value of this equation

Mathematics

1 answer:

Feliz [49]4 years ago

8 0

Answer:

$y= -\frac{5x}{8} +\frac{3}{4} \\$

$x= -\frac{8y}{5} +\frac{6}{5}$

Step-by-step explanation:

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Lena’s guest house is 15 m long and 12 m wide how long is the diagonal of the house?

miv72 [106K]

imagine the diagonal of a rectangle being the split between two triangles. you are trying to find the longest side of the triangle, which is the "diagonal" of the rectangle.

to find the length of a side of a triangle, use the Pythagorean theorem. it is : a^2 + b^2 = c^2

so... plug in your data like this...

15^2 + 12^2= c^2.

225 + 144 = the square root of 369.

that is rounded to 19.2

this is just how I would solve this problem, if I helped you out please just let me know by voting me brainliest! Haha just kidding :)

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4 years ago

I’m having a hard time solve it ! I have no idea .

sergij07 [2.7K]

Answer:

Below in bold.

Step-by-step explanation:

Add the elevation change to the initial elevation:

Hike 2: Final elevation = -62 + 82 = 20.

Hike 3: Final elevation = 62 + -100 = -38.

8 0

3 years ago

What is the leading coefficient of the polynomial f(x)f(x) defined below? f(x)=−3x^4−10x^3

Sever21 [200]

Answer:

9x^8

Step-by-step explanation:

f(x) is a binomial. Multiplying a binomial by itself results in a trinomial. In this problem we need ONLY to specify what the leading coefficient (coefficient of this trinomial product) is.

Here this is obtained by squaring the coefficient −3x^4. We get"

(-3)^2*(x^4)^2 = 9x^8

3 0

3 years ago

It takes 23 minutes for 6 people to paint 6 walls. How many minutes does it take 9 people to paint 7 walls?

bogdanovich [222]

For this problem you need to first find a unit rate (rate = 1/time), how fast per minute can 1 person paint a wall?

Once you have this rate you can find how many minutes it takes to do any number of walls with any number of people.

Lets call this unit rate 'r'. Number of people = n, Number of walls = w.
By multiplying the unit rate by 'n', you get the speed n people can paint a wall. Example, if it takes 4 min to paint 1 wall the unit rate = 1/4. The speed for 8 people is 8*(1/4) = 2 walls per minute. Time = 1/rate. So 2 walls per minute = 1/2 min per wall. Now multiply time by w. If there are 10 walls, (1/2)*10 = 5 , It takes 8 people 5 min to paint 10 walls.

The general formula is:
$t = \frac{w}{n*r} \\ \\ r = \frac{w}{n*t}$

Now apply to given problem:
Time = 23 min, n = 6, w = 6
Solve for unit rate 'r'
$r = \frac{6}{6*23} = \frac{1}{23}$
Find time, given
n = 9, w = 7
$t = \frac{7}{9*(1/23)} = \frac{7*23}{9} = 17.89$
Answer:
it takes 17.89 min or 17 min 53 sec

3 0

3 years ago

Which equation could be used to find m∠E in △EFG? m∠E = cos–1(StartFraction 3 Over 4.6 EndFraction) m∠E = cos–1(StartFraction 4.

polet [3.4K]

Answer:

$m\angle E=tan^{-1}(\frac{3}{4.6})$