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Ivenika [448]
3 years ago
8

Please HELPP!!! Solve the system of equations. y= 2x y= x^2 - 15

Mathematics
1 answer:
Nataly [62]3 years ago
7 0

y=2x\\y=x^2-15\\\\x^2-15=2x\\x^2-2x-15=0\\x^2-5x+3x-15=0\\x(x-5)+3(x-5)=0\\(x+3)(x-5)=0\\x=-3 \vee x=5\\\\y=2\cdot(-3) \vee y=2\cdot5\\y=-6 \vee y=10\\\\(x,y)\in\{(-3,-6),(5,10)\}

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a gardenner is designing a new garden in the shape of a trapezoing she wants the short base to be twice the height and loger bas
taurus [48]

Answer:

Height = 5 ft

Short base = 10 ft

Long base = 14 ft

Step-by-step explanation:

Let h = height, a = short base, b = long base.

From the question,

a = 2h

b = a + 4 = 2h + 4

The area of the trapezoid is given by \frac{1}{2}(a+b)h. Thus,

60 = \frac{1}{2}(2h + 2h + 4)h

60 = \frac{(4h  + 4)h }{2}

60 = \frac{4h(h  + 1)}{2}

60 = 2h(h  + 1)

30 = h(h  + 1)

0 = h^2  + h - 30

0 = (h+6)(h-5)

h-5 = 0 or h+6 = 0

h= 5 or h = -6

We discard the negative value of h since it is a measurement and cannot be negative.

h= 5

a= 2h=2\times5=10

b= a+4=10+4=14

6 0
3 years ago
Three ways to write 18/6
const2013 [10]
  One way to write 18/6 is to compute 18/6 to be the whole number of a quotient that is equal to. Another way to write 18/6 is to write it as an improper fraction that's reduced. One more way to write 18/6 is as a decimal. Note how all of these ways of writing the same expression are all equal to writing one same value, and it's the WAY in which you modify what you're writing.
3 0
3 years ago
Andrew solves 6x2=12x by using the quadratic formula. What values does he use for a, b, and c? a = (Put the number only in the b
zhenek [66]

Answer:

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Step-by-step explanation:

The standard format for the quadratic formula is ax^2+bx+c (=0).

If we rearrange the numbers given to look like this formula, we will find the values of a, b, and c.

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6x^2-12x=0   There is no visible value of c, but since there is no term without a variable, c=0

6x^2-12x+0=0

So a=6, b=-12, and c=0

4 0
3 years ago
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Elan Coil [88]
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4 0
3 years ago
Sharon has 23 toy car that are colored red, blue, and white. She has 4 red cars, 2 fewer blue cars than red and 5 more purple ho
podryga [215]

Answer:

13 white cars

Step-by-step explanation:

Let us represent:

Number of

Red cars = x

Blue cars = y

White cars = z

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x + y + z = 23

x = 4

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y = 4 + 2

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Hence,

x + y + z = 23

4 +

Number of white cars is calculated as:

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23 - 10

= 13 white cars

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