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oksano4ka [1.4K]
3 years ago
13

Divide use partial quotients 156 divided by 13

Mathematics
2 answers:
Alexeev081 [22]3 years ago
8 0

    

      156÷13

  13 goes into 15 once

so under the 156 put 13 under 15 left with 2 bring down the 6 to make it 26

13 goes into 26 2 times

 so under where you wrote 26 put 26 then 26-26=0

so your answer is 12





enot [183]3 years ago
7 0

Answer:

At last step, we get remainder as 0 .

Step-by-step explanation:

In this question, we need to divide 156 by 13 using partial quotients . In this method, we keep on dividing dividend by the divisor till the remainder becomes 0 .

 Consider step 1.

We know that 13×1=13, we get step 2.

Here in step 2, dividend = 156 , divisor = 13 , quotient =  1, remainder = 2

In step 3, carry down 6 from the dividend, now we have divisor as 13 and dividend as 26

We know that 13×2=26, so we get

( see step 4 )

At last step, we get quotient as 12 and remainder as 0.

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Solve each system of equations algebraically. For each one, explain what the solution (or lack thereof) tells you
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Answer:

a: no solutions

b: (2, 3)

Step-by-step explanation:

a:

In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.

b:

Since both of the equations are equal to y, we can set them equal to each other:

\frac{1}{2}x^2+1= 2x-1\\x^2 + 2 = 4x - 2\\x^2-4x+4=0

We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):

(x-2)^2 = 0

x = 2

Now, to find y, plug-in x to any of the equations:

y = 2*2-1 = 3

Therefore, the solution to this system of equation is (2, 3)

I hope this helped.

4 0
3 years ago
Evaluate x + y when x = -94 and y = 24<br><br>A: -118<br>B: -70<br>C: 70<br>D: 118​
malfutka [58]
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8 0
3 years ago
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3 years ago
The function f(x) = x2 + 22x + 58 is translated 4 units to the right and 16 units up. What is the vertex form of the new functio
kap26 [50]

Answer:

The new function is (x + 7)² - 47 ⇒ the 3rd answer

Step-by-step explanation:

* Lets put the function f(x) in the vertex form at first and then make

 the translation

∵ The general form of the quadratic function is

  f(x) = ax² + bx + c

∵ The x-coordinate of the vertex of the function is -b/2a

∵ The y-coordinate of the vertex of the function is f(-b/2a)

- Lets find a , b from the function two find the vertex point

∵ f(x) = x² + 22x + 58

∴ a = 1 , b = 22 , c = 58

∵ x-coordinate of the vertex = -b/2a

∴ x-coordinate of the vertex = -22/2(1) = -11

∵ y-coordinate of the vertex = f(-11)

∴ f(-11) = (-11)² + 22(-11) + 58 = 121 - 242 + 58 = -63

∴ The vertex point is (-11 , -63)

- The vertex form of the quadratic function is f(x) = (x - h)² + k , where

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

∵ The vertex point is (-11 , -63)

∴ h = -11 , k = -63

∴ f(x) = (x - -11)² + -63

∴ f(x) = (x + 11)² - 63

* lets revise the rules of the translation

- If the function f(x) translated horizontally to the right  

 by m units, then the new function g(x) = f(x - m)

- If the function f(x) translated horizontally to the left  

 by m units, then the new function g(x) = f(x + m)

- If the function f(x) translated vertically up  

 by n units, then the new function g(x) = f(x) + n

- If the function f(x) translated vertically down  

 by n units, then the new function g(x) = f(x) – n

∵ f(x) will translate 4 units to the right

∴ m = 4

∵ f(x) ⇒ f(x - m)

∴ (x + 11)²  ⇒ (x + 11 - 4)² = (x + 7)²

∵f(x) will translate 16 units up

∴ -63 will add by 16

∴ n = 16

∴ f(x) ⇒ f(x) + n

∵ -63 + 16 = -47

∴ The new function is (x + 7)² - 47

5 0
3 years ago
Read 2 more answers
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