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My name is Ann [436]
3 years ago
7

a patio door is 72inches side. if a drawing of the door is made with a scale of 2 inches. = 3ft, what is the width of the door o

n the drawing?
Mathematics
1 answer:
bixtya [17]3 years ago
8 0
In this problem, the reference of the scale is referring to feet. Firstly, convert 72 inches to feet so that you can properly make the proportion.

72 inches = 6 feet

With the scale of 2 inches per 3 feet, we can set up an easy proportion to see how wide the door will be on the drawing.

3 feet 6 feet
——— = ————
2 inc. ‘x’ inc.

3x=12
X=4 inches

Solving the proportion by cross-multiplication reveals that the scale drawing of the patio door would be 4 inches wide.
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What multiplies to be -18 and adds to be -9?
Harrizon [31]
IMPORTANT:
If you're trying to factor a quadratic in Algebra I:
There are no two integers that can solve this problem!
Your quadratic is <em>prime</em>!

If you're trying to solve a quadratic (find x):
The factoring approach will not work for the same reasons listed above.
Try using splitting the middle or the quadratic formula instead.

Here's how you would solve it from a more advanced approach.
If you don't know what this stuff is, just ignore it.
ab = -18, a + b = -9
Find a in terms of b.
a = -9-b
Substitute this for a in the first equation.
(-9-b)b = -18
-9b-b² = -18
Multiply everything by -1 to get rid of all these negative signs.
b² + 9b = 18
Bring over that 18.
b² + 9b - 18 = 0
Apply the quadratic formula.
(a = 1, b = 9, c = -18)
\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-9\pm\sqrt{9^2-4(1)(-18)}}{1\times2}=\frac{-9\pm\sqrt{81+72}}{2}=\frac{-9\pm\sqrt{153}}{2}=\boxed{\frac{-9\pm3\sqrt{17}}{2}}
If you need to write two distinct numbers, just write out one with a + and one with a - in place of the plus-minus sign.
8 0
3 years ago
An 80% increase followed by a 40% decrease
scZoUnD [109]
You start with 100%, add 80% for the increase and you get 180%, take away 40% for the decrease and you get 140%
4 0
3 years ago
Am I correct if I am not please give me the right answer and I’ll give points. Thank you
STatiana [176]

the first two are correct, but the answer for c should be 125

3 0
3 years ago
Read 2 more answers
Find the derivative of the function. y = sin−1(6x + 1)
liraira [26]

If you don't know the derivative of the inverse of sine, you can use implicit differentiation. Apply sine to both sides:

y=\sin^{-1}(6x+1)\implies\sin y=6x+1

(true for <em>y</em> between -π/2 and π/2)

Now take the derivative of both sides and solve for it:

\cos y\dfrac{\mathrm dy}{\mathrm dx}=6

\dfrac{\mathrm dy}{\mathrm dx}=6\sec y

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac6{\cos\left(\sin^{-1}(6x+1)\right)}

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac6{\sqrt{1-(6x+1)^2}}

7 0
3 years ago
There were 10 bunches of roses and tulips. Each bunch had 5 of the same flowers. There were 2 more bunches of tulips than roses.
Leviafan [203]

Answer:

I think the answer is 12 (sorry if i misunderstood the question)

Step-by-step explanation:

Because if there are 10 things of roses and tulips and then 2 more tulips are added in the question in total thats 12.... 10+2=12

6 0
3 years ago
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