Answer:
The length of the missing leg:
Step-by-step explanation:
Given
To determine:
The length of the leg b = ?
For a right-angled triangle, with sides a and b the hypotenuse c is defined as:
We can find the length of the leg b using the formula
substituting c = 10 and b = 6 in the formula
![\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
mi
Therefore, the length of the missing leg:
Answer:
<u>The sum of the first 5 terms of the series is 77.</u>
Step-by-step explanation:
1. Let's review the information provided to us for solving the sum of the first 5 terms of the series:
1st term = 7
2nd term = - 14
3rd term = 28
4th term = - 56
2. Let's solve the sum of the first 5 terms of the series:
Aₙ = Aₙ₋₁ * -2 ; A₁ = 7
A₁ = 7
A₂ = A₁ * -2 = 7 * - 2 = - 14
A₃ = A₂ * - 2 = -14 * - 2 = 28
A₄ = A₃ * - 2 = 28 * - 2 = - 56
A₅ = A₄ * - 2 = -56 * - 2 = 112
Sum of the first 5 terms of the series = 7 - 14 + 28 - 56 + 112
<u>Sum of the first 5 terms of the series = 77</u>
The number of ways there are to move from (0, 0) to (7, 7) in the coordinate plane with movements of only one unit right or one unit up accordingly is; 49 while that such that y =x is; 7.
<h3>
How many ways are there to get from (0, 0) to (7, 7) in the coordinate plane with pmovements of only one unit right or one unit up?</h3>
It follows from the task content that the movement intended on the coordinate plane is; from (0, 0) to (7, 7).
The number of ways to move such that movements of only one unit right or one unit up is; 7 × 7 = 49.
The number of ways for which y= x is therefore is; 7 as the movement is diagonal.
Read more on coordinate plane;
brainly.com/question/10737082
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Using change of base
log5/log 625
both logs cancels
then becomes 5/625
+ 1/4
Answer:
(x-1) and (3x-2)
Step-by-step explanation:
3x^2– 5x + 2=
3x^2 - 3x-2x+2=
3x(x-1)-2(x-1)=
(x-1)(3x-2)
