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Irina18 [472]
3 years ago
12

What two numbers that if multiplied equal -90 and if added equal 8?

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0
x-first\ number\\y-second\ number\\\\ \left \{ {{x\cdot\ y=-90} \atop {x+y=8}} \right.\\\\From\ second\ equayion:\\x=8-y\\\\Substracted\ to\ first\ equation:\\(8-y)y=-90\\-y^2+8y+90=0\\\\\Delta=b^2-4ac\\\Delta=8^2-4\cdot(-1)\cdot90=64+360=424\\\sqrt{\Delta}=\sqrt{424}2\sqrt{106}\\\\y_1=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-8+2\sqrt{106}}{2\cdot(-1)}=4-\sqrt{106}\\y_2=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-8-2\sqrt{106}}{2\cdot(-1)}=4+\sqrt{106}\\\\x_1=8-(4-\sqrt{106})=8-4+\sqrt{106}=4+\sqrt{106}
x_2=8-(4-+\sqrt{106})=8-4-\sqrt{106}=4-\sqrt{106}\\\\ \left \{ {{y=4-\sqrt{106}} \atop {x=4+\sqrt{106}}} \right.\\

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pantera1 [17]

Answer:

79853709 with the exponent of 94

Step-by-step explanation:

8 0
3 years ago
It’s all in the picture number 5!!!pleaseee help‼️‼️‼️‼️‼️‼️ASAP‼️‼️
Mariulka [41]

We know that m<JKL = m<JKM + m<MKL

Let's substitute the values from the picture into our equation above.

10x - 11 = 43 + 8x - 20

Combine like terms.

10x - 11 = 8x + 23

Subtract 8x from both sides and add 11 to both sides.

2x = 34

Divide both sides by 2

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7 0
3 years ago
If (x + 2) is a factor of x3 − 6x2 + kx + 10, k =
ch4aika [34]

Answer:

The value of k is -11

Step-by-step explanation:

If (x+2) is a factor of x3 − 6x2 + kx + 10:

Then,

f(x)=x3 − 6x2 + kx + 10

f(-2)=0

f(-2)=(-2)³-6(-2)²+k(-2)+10=0

f(-2)= -8-6(4)-2k+10=0

f(-2)= -8-24-2k+10=0

Solve the like terms:

f(-2)=-2k-22=0

f(-2)=-2k=0+22

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k=22/-2

k=-11

Hence the value of k is -11....

5 0
3 years ago
3. Ten more than a number is 28. Find the<br> number.
lesya [120]
18. I hope it helps:/
6 0
3 years ago
Read 2 more answers
I will mark Brainiest (no links please)
Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

Are the volumes equal?      No, so throw out the first and the last one.

Is the volume of the pyramid greater than the volume of prism?  

                                            No, so throw out the third one

so by inspection it must be the remaining one

or mathematically

    vol pyramid = (1/3)(base)(height)

    vol prism     =  (base)(height)

 

              vol pyramid   /   vol prism      

           (1/3)(base)(height) / (base)(height)   = 1/3

6 0
3 years ago
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