I think red I'm not sure maybe not I'm sorry.
Answer:
7m² - 11m - 2
Step-by-step explanation:
(4m² - m + 2) - (-3m² + 10m + 4)
= (4m² - (-3m²)) + (-m - 10m) + (2 - 4)
= (4m² + 3m²) + (-11m) + (-2)
= 7m² - 11m - 2
- (+) meet (+) = (+)
- (+) meet (-) = (-)
- (-) meet (+) = (-)
- (-) meet (-) = (+)
Answer:
![tan(A) = \frac{3}{4}](https://tex.z-dn.net/?f=tan%28A%29%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
Step-by-step explanation:
Given
Right-angled triangle ABC
![b = 8](https://tex.z-dn.net/?f=b%20%3D%208)
Required
Calculated tan(A)
First, we calculate the length of a.
Since the triangle is right-angled at C, then c is the hypotenuse and side a is the opposite of A.
So, we have:
![c^2 = a^2 + b^2](https://tex.z-dn.net/?f=c%5E2%20%3D%20a%5E2%20%2B%20b%5E2)
![10^2 = a^2 + 8^2](https://tex.z-dn.net/?f=10%5E2%20%3D%20a%5E2%20%2B%208%5E2)
![100 = a^2 + 64](https://tex.z-dn.net/?f=100%20%3D%20a%5E2%20%2B%2064)
![a^2 = 100 - 64](https://tex.z-dn.net/?f=a%5E2%20%3D%20100%20-%2064)
![a^2 = 36](https://tex.z-dn.net/?f=a%5E2%20%3D%2036)
Take square roots
![a = 6](https://tex.z-dn.net/?f=a%20%3D%206)
So:
![tan(A) = \frac{a}{b}](https://tex.z-dn.net/?f=tan%28A%29%20%3D%20%5Cfrac%7Ba%7D%7Bb%7D)
![tan(A) = \frac{6}{8}](https://tex.z-dn.net/?f=tan%28A%29%20%3D%20%5Cfrac%7B6%7D%7B8%7D)
![tan(A) = \frac{3}{4}](https://tex.z-dn.net/?f=tan%28A%29%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
Notice that the plane figures above are congruent with each other, so that
<h3>#6</h3>
x/8 = 4/16
16x = 8 × 4
16x = 32
x = 2
<h3>#7</h3>
x/5 = 48/6
6x = 5 × 48
6x = 240
x = 40
<h3>#8</h3>
x/7 = 90/10
10x = 7 × 90
10x = 630
x = 63
<h3>#9</h3>
3/x = 10/40
10x = 3 × 40
10x = 120
x = 12