Answer:
X=90°
Y=37°
Z=53°
Step-by-step explanation:
Y=Alternate angle
X=Right angle
Z=Angles in a triangle add up to 180°
Answer:
1.) x-7
Step-by-step explanation:
hope it helps
Couple things to note:
- Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
- Slope can be calculated using any two points on a line and the formula y₁ - y₂ / x₁ - x₂.
For the first problem, we know the slope of Function A is 6 (refer to slope-intercept form above). To compare the slopes of Function A and Function B, first find the slope of Function B.
Use y₁ - y₂ / x₁ - x₂. Two points on the line are (0, 1) and (-1, -2). Plug these into the formula accordingly and solve for slope.
y₁ - y₂ / x₁ - x₂
1 - (-2) / 0 - (-1)
1 + 2 / 0 + 1
3 / 1
3
The slope of Function B is 3. This is half of 6 (the slope of Function A), so the correct answer to question 1 is the first option: Slope of Function B = 2 × Slope of Function A.
For the second problem, substitute m and b in y = mx + b according to the graph. b is the y-intercept (the point at which the line intersects the y-axis); it is (0, -4), or -4. This gives us
y = mx - 4
We must now find m. Follow the same steps above to find slope. Our two points are (-2, 0) and (0, -4).
y₁ - y₂ / x₁ - x₂
0 - (-4) / -2 - 0
0 + 4 / -2
4 / -2
-2
Substitute.
y = -2x - 4
The first option is the correct answer.
The expression in radical form is ![(\sqrt[7]{3x^4y^5}) ^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7B3x%5E4y%5E5%7D%29%20%5E3)
In order to express the given indices expression in radical form, we need to ensure there is a square root present in the resulting expression.
According to the law of indices,
![a^{m/n} = \sqrt[n]{m}](https://tex.z-dn.net/?f=a%5E%7Bm%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bm%7D)
Given the indices 
Comparing with the general formula, we will see that:
m = 3
n = 7
a = 
Applying the law of indices:
![(3x^4y^5) ^ {3/7} = (\sqrt[7]{3x^4y^5}) ^3](https://tex.z-dn.net/?f=%283x%5E4y%5E5%29%20%5E%20%7B3%2F7%7D%20%3D%20%28%5Csqrt%5B7%5D%7B3x%5E4y%5E5%7D%29%20%5E3)
Hence the expression in radical form is
Learn more here: brainly.com/question/6755932
