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2 years ago

The ratio of green houses to white houses in Queens is 5 to 7. There are 63 white houses, How many green houses are there?

Mathematics

1 answer:

Ludmilka [50]2 years ago

3 0

45 to 63

Your welcome my guy

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Find the distance between the points (1,8) and (9, 2).

grin007 [14]

Answer:

$distance = \sqrt{(x_{1} -x_{2})^2+(y_{1} -y_{2})^2 }\\\\$

$=\sqrt{(9-1)^2+(2-8)^2 }\\\\=\sqrt{8^2 + 6^2}\\\\=\sqrt{64 +36 }\\\\=\sqrt{100} = 10units$

6 0

3 years ago

Use the discriminant to determine what type of roots the equations will have, and categorize the equations according to their ro

topjm [15]

Step-by-step explanation:

The discriminant of the quadratic equation $ax^2+bx+c=0$ :

$\Delta=b^2-4ac$

If Δ < 0, then the equation has two complex roots $x=\dfrac{-b\pm\sqrt\Delta}{2a}$

If Δ = 0, then the equation has one repeated root $x=\dfrac{-b}{2a}[/tex If Δ > 0, then the equation has two discint roots [tex]x=\dfrac{-b\pm\sqrt\Delta}{2a}$

$1.\ x^2-4x+2=0\\\\a=1,\ b=-4,\ c=2\\\\\Delta=(-4)^2-4(1)(2)=16-8=8>0,\ \bold{two\ distinct\ roots}\\\sqrt\Delta=\sqrt8=\sqrt{4\cdot2}=2\sqrt2\\\\x=\dfrac{-(-4)\pm2\sqrt2}{2(1)}=\dfrac{4\pm2\sqrt2}{2}=2\pm\sqrt2\\\\==============================\\\\2.\ 5x^2-2x+3=0\\\\a=5,\ b=-2,\ c=3\\\\\Delta=(-2)^2-4(5)(3)=4-60=-56$

$3.\ 2x^2+x-6=0\\\\a=2,\ b=1,\ c=-6\\\\\Delta=1^2-4(2)(-6)=1+48=49>0,\ \bold{two\ distinct\ roots}\\\sqrt\Delta=\sqrt{49}=7\\\\x=\dfrac{-1\pm7}{(2)(2)}\\\\x_1=\dfrac{-8}{4}=-2,\ x_2=\dfrac{6}{4}=\dfrac{3}{2}\\\\==============================\\\\4.\ 13x^2-4=0\qquad\text{add 4 to both sides}\\\\13x^2=4\qquad\text{divide both sides by 13}\\\\x^2=\dfrac{4}{13}\to x=\pm\sqrt{\dfrac{4}{13}},\ \bold{two\ distinct\ roots}\\\\==============================$

$5.\ x^2-6x+16=0\\\\a=1,\ b=-6,\ c=16\\\\\Delta=(-6)^2-4(1)(16)=36-64=-28$

$7.\ 4x^2+11=0\qquad\text{subtract 11 from both sides}\\\\4x^2=-11\qquad\text{divide both sides by 4}\\\\x^2=-\dfrac{11}{4}\to x=\pm\sqrt{-\dfrac{11}{4}}\\\\x=\pm\dfrac{\sqrt{11}}{2}\ i,\ \bold{two\ complex\ roots}$

6 0

3 years ago

Read 2 more answers

Brooke paints the outsides of the square walls and triangular ceilings of her treehouse. What area does she paint? Enter your an

andrew-mc [135]

Answer:

216

Step-by-step explanation:

The formula of finding the surface is length * width * height or LxWxH.

Since everything is 6 you just multiply 6*6*6 which gives you 36*6 which gets you 216. You don't need the top 6 just to find the surface she will paint.

Hope this helps!

7 0

2 years ago

2 3/4÷2/5 will mark brainleyst

olga55 [171]

Answer:

6 7/8

Step-by-step explanation:

Result in decimals: 6.875

In pic

(Hope this helps can I pls have brainlist (crown) ☺️)

6 0

2 years ago

Read 2 more answers

PLEASE HELP ANSWER THIS QUESTION I DON'T KNOW IT AT ALL

Lena [83]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

Is y = 4x - 7 a linear function?
Is y = 6x² - 1 a linear function?
Is y = $\frac{1}{2x}$ + 10 a linear function?

Step-by-step explanation:

Yes it is - when you graph this equation, it results in a [straight] line, signalling that it is a linear function.
No it's not - when you graph this equation, it results in a v- kinda shape on the graph. Linear functions are [straight] lines on a graph, and this line wasn't straight. In fact, this wasn't even a line.
No it's not - when you graph this equation, it results in a bend at the origin. The line on the graph is not straight, so this is not a linear equation.

For the graphs -

The first one represents the linear function [y = 4x - 7]

The second one (that looks like an L) represents the last not linear function [y = $\frac{1}{2x}$ + 10]

The third one (that looks like a V) represents the first not linear function [y = 6x² - 1]

I HOPE THIS HELPS!

6 0

2 years ago