The answer is C
Because the sum of the angles are not up to 180
which makes way for other angles.
Answer:
x-intercept: (9,0)
y-intercept: (0,-9)
Step-by-step explanation:
The x-intercept and y-intercept is the point at which a line intersects the x-axis and y-axis, respectively. All points on the x-axis have a y-value of 0, while all points on the y-axis have an x-value of 0. Thus, to find the x and y intercepts, substitute 0 for one of the variables in the equation, then solve for the other.
1) To find the x-intercept, substitute 0 for y. Then, isolate x.
![4x-4(0)=36\\4x-0=36\\4x = 36\\x = 9](https://tex.z-dn.net/?f=4x-4%280%29%3D36%5C%5C4x-0%3D36%5C%5C4x%20%3D%2036%5C%5Cx%20%3D%209)
So, the x-intercept must be (9,0).
2) To find the y-intercept, substitute 0 for x. Then, isolate y.
![4(0)-4y = 36\\0-4y = 36\\-4y = 36\\y = -9](https://tex.z-dn.net/?f=4%280%29-4y%20%3D%2036%5C%5C0-4y%20%3D%2036%5C%5C-4y%20%3D%2036%5C%5Cy%20%3D%20-9)
So, the y-intercept must be (0,-9).
Slope is calculated using:
slope = (change in y) / (change in x)
slope = (12 - 2) / (5 - 3)
slope = 10/2 = 5
Answer:
x = 3
Step-by-step explanation:
(25x)° = (22x + 9)° Divide each side by 1°
25x = 22x + 9 Subtract 22x from each side
3x = 9 Divide each side by 3
x = 3
<em>Check:
</em>
(25× 3)° = (22×3 + 9)°
75° = (66 + 9)°
75° = 75°
Method 1.
Use the formula of a distance between two points:
![A(x_A;\ y_A),\ B(x_B;\ y_B)\\\\d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}](https://tex.z-dn.net/?f=A%28x_A%3B%5C%20y_A%29%2C%5C%20B%28x_B%3B%5C%20y_B%29%5C%5C%5C%5Cd%3D%5Csqrt%7B%28x_B-x_A%29%5E2%2B%28y_B-y_A%29%5E2%7D)
We have
![A(-4,\ 5)\to x_A=-4,\ y_A=5\\B(2,\ -3)\to x_B=2,\ y_B=-3](https://tex.z-dn.net/?f=A%28-4%2C%5C%205%29%5Cto%20x_A%3D-4%2C%5C%20y_A%3D5%5C%5CB%282%2C%5C%20-3%29%5Cto%20x_B%3D2%2C%5C%20y_B%3D-3)
substitute
![|AB|=\sqrt{(-3-5)^2+(2-(-4))^2}=\sqrt{(-8)^2+6^2}=\sqrt{64+36}=\sqrt{100}=10](https://tex.z-dn.net/?f=%7CAB%7C%3D%5Csqrt%7B%28-3-5%29%5E2%2B%282-%28-4%29%29%5E2%7D%3D%5Csqrt%7B%28-8%29%5E2%2B6%5E2%7D%3D%5Csqrt%7B64%2B36%7D%3D%5Csqrt%7B100%7D%3D10)
Answer: 10
Method 2
Look at the picture.
Use the Pythagorean theorem:
![x^2=6^2+8^2\\\\x^2=36+64\\\\x^2=100\to x=\sqrt{100}\\\\x=10](https://tex.z-dn.net/?f=x%5E2%3D6%5E2%2B8%5E2%5C%5C%5C%5Cx%5E2%3D36%2B64%5C%5C%5C%5Cx%5E2%3D100%5Cto%20x%3D%5Csqrt%7B100%7D%5C%5C%5C%5Cx%3D10)
Answer: 10