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Travka [436]
2 years ago
7

Write an equation in slope-intercept form given the information about each line.

Mathematics
1 answer:
olga_2 [115]2 years ago
7 0

Answer:

the answer for this problem is: y- intercept= is -2

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The yearly attendance at a local movie theater is 82,000 and grows continuously at a rate of 5.1% each year. What is the approxi
juin [17]

Answer:

c. 134,847

Step-by-step explanation:

82,000 x (1.051)^10 = 82,000 x 1.64447456 = 134,847

6 0
3 years ago
Consider the triangle A(4,0), B(-2,4), C(0,6)<br> What will be the equation of the altitude BM?
katovenus [111]

Answer:

BM: <u>y = (2/3) x + 16/3</u> with segment length of 2.77

Step-by-step explanation:

AC formula: m = (6-0)/(0-4) = -3/2

(y-0)/(x-4) = -3/2       y = (-3/2)x + 6   ... (1)

BM slope: BM⊥ AC   m = 2/3

BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3

y-4 = 2/3 x + 4/3

<u>y = (2/3) x + 16/3</u>   ... (2)    -2≤x≤0.31

intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3

(13/6) x = 2/3      x = (2/3) / (13/6) = 4/13 ≈ 0.31

y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54

M (4/13 , 72/13) or (0.31 , 5.54)

segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77

4 0
2 years ago
The following figures are not drawn to scale but AB and CD are straight lines.<br> Find x.
leonid [27]
Answer:

x = 30

Step-by-step explanation:

2x + 90° + x = 180°

3x + 90° = 180°

3x = 90°

x = 90/3

x = 30
7 0
2 years ago
Read 2 more answers
Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers
Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the x^2 coefficient is 1, i.e. the equation is written like x^2+bx+c=0, then you can say the following about the coefficients b and c:

  • b is the opposite of the sum of the roots
  • c is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

  • 4+(-2) = 4-2 = 2 \implies b = -2
  • 4 \cdot (-2) = -8 \implies c = -8

So, the equation is x^2-2x-8=0

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

  • \dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}
  • \dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}

And so the equation is

x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0

In order to have integer coefficients, you can multiply both sides of the equation by 8:

8x^2 - 10 + 3 = 0

5 0
3 years ago
What are all natural numbers using the digits 7 , 0 ,6 without repeating the numbers​
Lelu [443]

Answer:

Step-by-step explanation:

The natural numbers can be :

076

067

706

760

607

and 670

Hope this helps

plz mark as brainliest!!!!!!

7 0
2 years ago
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