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Art [367]
3 years ago
5

1+1 (You don't have to answer its for talking)

Mathematics
1 answer:
morpeh [17]3 years ago
7 0

Answer:

Step-by-step explanation:

1 +1  =   2   g a y   n i g  g a s

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Solve the simultaneous equations<br> 3<br> 2x - y = 7<br> xy = 15
ehidna [41]

Answer:

(5, 3 ) and (- \frac{3}{2}, - 10 )

Step-by-step explanation:

Given the 2 equations

2x - y = 7 → (1)

xy = 15 → (2)

Rearrange (1) expressing y in terms of x , that is

y = 2x - 7 → (3)

Substitute y = 2x - 7 into (2)

x(2x - 7) = 15

2x² - 7x = 15 ( subtract 15 from both sides )

2x² - 7x - 15 = 0 ← in standard form

(x - 5)(2x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - \frac{3}{2}

Substitute these values into (3) for corresponding values of y

x = 5 : y = 2(5) - 7 = 10 - 7 = 3 ⇒ (5, 3 )

x = - \frac{3}{2} : y = 2(- \frac{3}{2} ) - 7 = - 3 - 7 = - 10 ⇒ (- \frac{3}{2}, - 10 )

8 0
3 years ago
Need to find surface area
quester [9]

Find the area for each shape.

For the triangle face you would do 4 times 6 divided by 2. Then times it by 2 because there are two triangle faces.

For the rectangle face do 5 times 12, then times 3 because there are 3 triangle faces.

Finally add both numbers together to get the surface area.

5 0
3 years ago
Read 2 more answers
A construction company orders 12 tons of pea gravel how many pounds of pea gravel do they order
poizon [28]
Each ton is equal to 2,000 pounds, therefore each ton (12) times the number of pounds per ton (2,000) is 24,000 pounds! Hope this helps!!
6 0
4 years ago
What is the equation of a line with a slope of 2 and a y intercept of -5?
Elanso [62]

Answer:

y=2x-5

Step-by-step explanation:

The slope is how you move so you could also call it m

The y intercept is where you begin so you could call it b

So every time you need to find the equation or which one is like the slope just remember m=move b= begin

y=mx+b

7 0
3 years ago
Write y=x^2+16x−7​ in vertex form. Then identify the vertex.
WARRIOR [948]

The vertex form of the function is y = (x + 8)² - 71

The vertex is (-8 , -71)

Step-by-step explanation:

The vertex form of the quadratic equation y = ax² + bx + c is

y = a(x - h)² + k, where

  • (h , k) are the coordinates of the vertex point
  • a, b, c are constant where a is the leading coefficient of the function (coefficient of x²) , b is the coefficient of x and c is the y-intercept
  • h=\frac{-b}{2a}
  • k is the value of y when x = h

∵ y = x² + 16x - 7

∵ y = ax² + bx + c

∴ a = 1 , b = 16 , c  = -7

∵ h=\frac{-b}{2a}

∴ h=\frac{-16}{2(1)}

∴ h = -8

To find k substitute y by k and x by -8 in the equation above

∵ k is the value of y when x = h

∵ h = -8

∴ k = (-8)² + 16(-8) - 7 = -71

∵ The vertex form of the quadratic equation is y = a(x - h)² + k

∵ a = 1 , h = -8 , k = -71

∴ y = (1)(x - (-8))² + (-71)

∴ y = (x + 8)² - 71

∵ (h , k) are the coordinates of the vertex point

∵ h = -8 and k = -71

∴ The vertex is (-8 , -71)

The vertex form of the function is y = (x + 8)² - 71

The vertex is (-8 , -71)

Learn more:

You can learn more about quadratic equation in brainly.com/question/9390381

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
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