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Elanso [62]
3 years ago
14

​ Quadrilateral ABCD is a rectangle. BE=4x+3 and AC=12x−10.

Mathematics
1 answer:
jenyasd209 [6]3 years ago
4 0

Answer:

BE= 19

Step-by-step explanation:

   4x+3   = 12x-10

2(4x+3)   = 12x-10

  8x+6   = 12x-10

8x-8x+6 = 12x-8x-10

          6 = 4x-10

    10+6 = 4x-10+10

        16 = 4x

     16/4 = 4x/4

         4  = x

BE 8(4)+6   = 38         38/2 = 19

AC 12(4)-10 = 38

The diagonals of a rectangle are equal.

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5-7k=-4(k+1)-3 add work pleasee!!!
marshall27 [118]

Answer:

k=4

Step-by-step explanation:

5-7k=-4(k+1)-3

Distribute

5-7k=-4k-4-3

Combine like terms

5-7k=-4k-7

Add 7k to each side

5-7k +7k = -4k+7k-7

5 = 3k-7

Add 7 to each side

5+7 = 3k-7+7

12 = 3k

Divide by 3

12/3 = 3k/3

4=k

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2 years ago
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Identify the vertex, the axis of symmetry and the y intercept of the parabola below.<br>please.​
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1,2 cause of the o and y axis

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ahrayia [7]

for 2 points A(xa;ya) and B(xb;yb)

the slope is (yb - ya) / (xb - xa)

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6 0
1 year ago
Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the st
notka56 [123]

Options

  • (A)g(5) = 12
  • (B)g(1) = -2
  • (C)g(2) = 4
  • (D)g(3) = 18

Answer:

(D)g(3) = 18

Step-by-step explanation:

Given that the function, g, has a domain of -1 ≤ x ≤ 4 and a range of                       0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8

Then the following properties must hold

  1. The value(s) of x must be between -1 and 4
  2. The values of g(x) must be between 0 and 18.
  3. g(-1)=2
  4. g(2)=9

We consider the options and state why they are true or otherwise.

<u>Option A: g(5)=12</u>

The value of x=5. This contradicts property 1 stated above. Therefore, it is not true.

<u>Option B: g(1) = -2 </u>

The value of g(x)=-2. This contradicts property 2 stated above. Therefore, it is not true.

<u>Option C: g(2) = 4 </u>

The value of g(2)=4. However by property 4 stated above, g(2)=9. Therefore, it is not true.

<u>Option D: g(3) = 18</u>

This statement can be true as its domain is in between -1 and 4 and its range is in between 0 and 18.

Therefore, Option D could be true.

3 0
3 years ago
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