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Alex Ar [27]
2 years ago
9

Solve each of the following quadratic equations.

Mathematics
2 answers:
defon2 years ago
8 0
A. x = 5
b. x = 3.38…
il63 [147K]2 years ago
4 0

Answer:

a. \:  \: x = 3 \:  \: and \: 5

<h3>b. \:  \:  x =  \frac{5± \sqrt{73} }{4}</h3>

Step-by-step explanation:

a. \:  \:  \: x^2-8x+ 15 = 0 \\  {x}^{2}  - 5x - 3x + 15 = 0 \\ x(x  - 5) - 3(x - 5) = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: and \: 5

b. \:  \: 2x^2 - 5x - 6 =0 \\ x =  \frac{5± \sqrt{73} }{4}

<h3>Hope it is helpful....</h3>
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The distance from the center of a circulartrashcan to the edge of the trashcan is 15 inches.What is the area of the top of the t
Black_prince [1.1K]

Answer:

706.95in²

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder

Step one

The trash can has a cylindrical shape

The distance from the center to the edge is the radius r= 15in

Step two

Area of top (circular ) = πr²

A= 3.142*15²

A= 3.142*225

A= 706.95in²

5 0
3 years ago
Another one about right triangles :/
Ad libitum [116K]

Answer:

\sqrt{1549}

Step-by-step explanation:

square 18 and square 35 then add together

4 0
3 years ago
Read 2 more answers
What is the equation of the funcion that is graphed as line b?
dolphi86 [110]

Answer:

The equation for b would be y = 1/2x + 1

Step-by-step explanation:

In order to find this, start by finding two points on the line. We'll use (0,1) and (2, 2). From there we start by finding the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (2 - 1)/(2 - 0)

m = 1/2

Now using that, we can plug it, along with a point into point-slope form to get the answer.

y - y1 = m(x - x1)

y - 1 = 1/2(x - 0)

y - 1 = 1/2x

y = 1/2x + 1

8 0
3 years ago
Please help with this question, I need the help urgently
grin007 [14]

Answer:

P in terms of V is:

P = 432/V

Step-by-step explanation:

We know that y varies inversely as x, we get the equation

y ∝ 1/x

y = k/x

k = yx

where k is called the constant of proportionality.

In our case,

P is inversely proportional to V

Given

P = 18

V = 24

so

P = k/V

k = PV

substituting P = 18 and V = 24 to determine k

k = 18 × 24

k = 432

now substituting k = 432 in P = k/V

P =  432/V

Therefore, P in terms of V is:

P = 432/V

5 0
3 years ago
(picture) Factoring Polynomials: GCF PLEASEE HELP!!!!!
andrezito [222]

GCF is 5m^2 n^2

m^2 has exponent 2  and n^2 has exponent 2

(1) m^5n^5

here there is no 5 so it does not have GCF

(2) 5m^4n^3

m^4 has exponent 4 greater than exponent 2

n^3 has exponent 4 greater than exponent 2

5m^4n^3 have GCF

(3) 10m^4n

10 is 5*2 . it has GCF 5

m^4 has exponent 4 greater than exponent 2

n has exponent 1 less than exponent 2

10m^4n does not have GCF

(4) 15m^2n^2

15 is 3*5 which has GCF 5

m^2 has exponent 2 which is equal to exponent 2

n^2 has exponent 2 which is equal to exponent 2

15m^2n^2 have GCF

(5) 24m^3n^4

24 is 2*2*2*3 does not have GCF

m^3 has exponent 3 greater than exponent 2

n^4 has exponent 4 greater than exponent 4

24m^3n^4 does not  have GCF


6 0
3 years ago
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