1. Two consecutive integers means that the values are whole numbers and they are located right after the other (eg. 2, 3).
Now, let us call the smaller value x. The consecutive value will be one greater than x, thus the larger value may be written as x + 1.
2. We know that the product of the two values is 420. Given that the smaller value is x and the larger value is x + 1, we can write this as:
x(x + 1) = 420
3. Now we can expand to get:
x^(2) + x = 420
4. Now subtract 420 from both sides to get:
x^(2) + x - 420 = 0
Therefor, the constant of the quadratic expression is -420.
Answer:
(B)
Step-by-step explanation:
We have to construct two equilateral triangles that is one with the side length of 2 inches and the another triangle with side length of 3 inches.
Now, both the triangles are equilateral triangles, thus they have same shape.
Also, both triangles have different side lengths, one having 2 inches and another having 3 inches, thus they have different size.
Hence, the true statement about the two triangles is:
The two triangles are the same shape but not the same size.
Therefore, option B is correct.
Step-by-step explanation:
given,
BD = 7x - 10
BC = 4x - 29
CD = 5x - 9
a/q
BC + CD = BD
so, after inserting the values we got,
4x - 29 + x - 9 = 7x - 10
→ 5x - 38 = 7x - 10
→ 5x - 7x = - 10 + 38
→ 2x = 28
→ x = 28/2 = 14
→ x = 14
therefore value of x is 14
according to the obtained value,
BD = 7x - 10 → 7(14) - 10 = 98 - 10 = 88
BC = 4x - 29 → 4(14) - 29 → 56 - 29 = 27
CD = 5x - 9 → 5(14) - 9 → 70 - 9 = 61
hope this answer helps you dear....take care and may u have a great day ahead!
verifying,
BC + CD = BD
→ 61 + 27 = 88
→ L.H.S = 61 + 27 = 88
so,
LHS = RHS
Answer:that's it
Step-by-step explanation: