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3 years ago

A quadratic polynomial which has zeros at -7 and 5. ?

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

4 0

Answer:

x^2 + 2x - 35

Step-by-step explanation:

Sum of zeros

= - 7 + 5

= - 2

Product of zeros

= - 7 x 5

= - 35

x^2 - ( sum of zeros )x + product of zeros

= x^2 - ( - 2 ) x + ( - 35 )

= x^2 + 2x - 35

The Quadratic polynomial is x^2 + 2x - 35.

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The sum of the radius of the base and the height of a solid cylinder is 37m. If the total surface area of the cylinder is 1628 m

MA_775_DIABLO [31]

Answer:

4618.14 $m^{3}$ or 4618 $m^{3}$

Step-by-step explanation:

From T.S.A = 2 $\pi$ rh + 2 $\pi$ $r^{2}$

where T.S.A = 1628 $m^{2}$

1628 = 2 $\pi$ rh + 2 $\pi$ $r^{2}$

1628 = ( rh + $r^{2}$ ) 2 $\pi$

by dividing both side by 2 $\pi$

$\frac{1628}{2\pi }$ = rh + $r^{2}$

259.10 = rh + $r^{2}$

rh = 259.10 - $r^{2}$

h = $\frac{259.10 - r^{2} }{r}$ <u> </u>(1)

From Radius + Height = 37

r + h = 37 <u> </u>(2)

by substituting eqn 1 into 2

r + $\frac{259.10 - r^{2} }{r}$ = 37

by multiplying r to both side

$r^{2}$ + 259.10 - $r^{2}$ = 37r

259.10 = 37r

r = $\frac{259.10}{37}$

r = 7.00 ≅ 7

From Eqn 2

r + h = 37

7 + h = 37

h = 37 - 7

h = 30

so Volume of a cylinder = $\pi r^{2} h$

V = $\pi$ * $7^{2}$ * 30

V = 4618.14 $m^{3}$ ≅ 4618 $m^{3}$

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4 years ago

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A paint store sells exterior paint for $35.25 a gallon and paint rollers for $7.50 each write an equation in standard form of th

Arturiano [62]

Answer:

35.25p + 7.5r = 185

Step-by-step explanation:

Gallons of paint: p

Rollers: r

35.25p + 7.5r = 185

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10. What is the area of a triangle with base 4cm and

sergiy2304 [10]

Step-by-step explanation:

Area of triangle = 0.5(4)(8) = 16cm² (D).

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If you gave to pay $14,000 and you pay 75% of it how much do you have left to pay?

Mars2501 [29]

So, what you do for this problem is that you multiply $14,000 x 0.75
The answer would be $ 10500. You would need to pay $ 10,500.
Hope this helps!

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3 years ago

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What is the ratio 17 to 23

Margarita [4]

The ration can be written as :

17 to 23
17 : 23
17 / 23

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