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charle [14.2K]
4 years ago
6

Find two numbers whose product is -140 and sum is -4.

Mathematics
2 answers:
Gelneren [198K]4 years ago
8 0
{xy=-140, x+y+4=0)
(xy=-140, y=-x-4)
x=10, y=-14
x=-14, y=10


____ [38]4 years ago
7 0
\left\{\begin{array}{ccc}x\cdot y=-140\\x+y=-4& y=-x-4\end{array}\right\\\\substitute:\\\\x\cdot(-x-4)=-140\\-x^2-4x+140=0\\\\\Delta=(-4)^2-4\cdot(-1)+140=16+560=576;\ \sqrt\Delta=\sqrt{576}=24\\\\x_1=\frac{4-24}{2\cdot(-1})=\frac{-20}{-2}=10;\ x_2=\frac{4+24}{2\cdot(-1)}=\frac{28}{-2}=-14\\\\y_1=-10-4=-14;\ y_2=-(-14)-4=14-4=10\\\\Answer:10\ and\ -14.
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Answer:

5:3

Step-by-step explanation:

20 cats: 12 dogs

= 10 cats: 6 dogs

= 5 cats: 3 Dogs

=5:3

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Who do you spell this number 314,207
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3 0
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Find the exact value of the trigonometric expression given that sin(u) = -(3/5),
GuDViN [60]

Recall that

\cot(u+v)=\dfrac{\cos(u+v)}{\sin(u+v)}=\dfrac{\cos u\cos v-\sin u\sin v}{\sin u\cos v+\cos u\sin v}=\dfrac{\cot u\cot v-1}{\cot v+\cot u}

Also, recall that for all \theta,

\cos^2\theta+\sin^2\theta=1

With \frac{3\pi}2, we can expect \cos u>0, and with 0, \sin v>0. So from the above identity it follows that

\cos u=\sqrt{1-\sin^2u}=\dfrac45\implies\cot u=\dfrac{\cos u}{\sin u}=-\dfrac43

and

\sin v=\sqrt{1-\cos^2v}=\dfrac8{17}\implies\cot v=\dfrac{\cos v}{\sin v}=\dfrac{15}8

and so

\cot(u+v)=\dfrac{-\frac43\frac{15}8-1}{\frac{15}8-\frac43}=\boxed{-\dfrac{84}{13}}

6 0
3 years ago
the table shows the decimal equivalent to fractions with a denominator of 7. what do you notice about the pattern of the six rep
Katena32 [7]
1/7= .142857142857143
2/7= .2857
3/7= .4285
4/7= .57142
5/7= .71428
6/7= .85714
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Each are multiples of .142857142857143.


8 0
3 years ago
The ambelfield aquifer is estimated to hold 50 billion liters. Assuming no addition or depletion of water, for approximately how
Mama L [17]

Divide,

\dfrac{50\cdot10^{9}}{15\cdot10^6}=\dfrac{50}{15}\cdot10^3\approx3.33\cdot10^3\approx3333.3\mathrm{D}

About 3333.3 days.

Hope this helps.

r3t40

4 0
4 years ago
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