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lubasha [3.4K]
3 years ago
14

14.) If AB = 13.BC = 6,CD = 2x - 18. and AD = 4x - 29 find CD.

Mathematics
1 answer:
natka813 [3]3 years ago
5 0

Answer:

12

Step-by-step explanation:

13 + 6 + 2x -18 = 4x - 29

19 + 2x -18 = 4x -29

2x + 1 = 4x - 29

30 = 2x

15 = x

CD = 2(15) -18

CD = 30 -18

CD = 12

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PLEASE HELP!!! WILL GIVE BRAINLIEST!!!
777dan777 [17]

Answer: (2,2) and (-5,16)

Step-by-step explanation:

Here we have both Line (Linear Function) and Parabola (Quadratic Function)

So I am gonna write these equations here,

y=x^2+x-4\\y=-2x+6

The first equation has Parabola graph (Since it's second degree.)

and the second equation has line graph.

To find the intersection, you have to substitute either -2x+6 in first equation (Quadratic) or x^2+x-4 in second equation (Linear)

For me, I am going to substitute x^2+x-4 in y=-2x+6.

x^2+x-4=-2x+6

Now solve the equation and find the value of x.

Since it's Quadratic Equation (Because there's x^2) I'd move -2x+6 to the left side.

x^2+x-4+2x-6=0 Finish things here (Subtract and Addition)

x^2+3x-10=0 What two numbers multiply to 10? Find the factors of 10, that are [1 and 10] and [2 and 5]

Now think about it, do you think that if 1 and 10 subtract or even addition, do you think that it'd be 3? No, of course not.

So 2 and 5 is right.

(x-2)(x+5)=0 (5-2 = 3) and (5*(-2) = -10)

Then we get both x, x=2,-5

However, this is not it. You have to substitute both x in Linear Equation.

Substitute x = 2 in y=-2x+6

y=-2(2)+6\\y=-4+6\\y=2

Order = (2,2)

Then substitute x = -5 in y=-2x+6

y=-2(-5)+6\\y=10+6\\y=16

Order = (-5,16)

So the intersections are both (2,2) and (-5,16) as shown in graph below.

4 0
3 years ago
Which graph represents the function on the interval [-3,3] <br> F(x)=[x]-2
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<h2>Answer:</h2>

Shown below

<h2>Step-by-step explanation:</h2>

The most famous of the step functions is the greatest integer function, which is denoted by the parent function [x].

So, this function is defined as:

f(x)=[x] \ the \ greatest \ integer \ less \ than \ or \ equal \ to \ x.

These are the characteristics of this function:

  • The domain of the function is the set of all real numbers.
  • The range of the function is the set of all integers.
  • The graph has a y-intercept at (0,0) and x-intercept in the interval [0,1)
  • The graph is constant between each pair of consecutive integers.
  • The graph jumps vertically one unit at each integer value.

The function F(x)=[x]-2 represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.

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The simple interest formula is ​I=Prt ​, where I is the interest, P is the principal, r is the interest rate, and t is the time.
DaniilM [7]
t = 5.3 years
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Equation:
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Calculation:
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then, solving our equation

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