Answer:
y = (9/4)x + 2, given that I've assume the correct meaning of "-5x4."
Step-by-step explanation:
A parallel line has the same slope as the reference line,
The reference line is 9x-4y = -5x4, as written. I'm not sure the 4 belongs, but I'll assume it is written correctly. I'm not sure if the term -5x4 is meant to mean -5x^4, -20x or -20. I'll assume -20:
9x-4y = -20
Put the equation into standard slope-intercept form: Y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
-4y = -9x - 20
y = (9/4)x + 5
This line has a slope of (9/4). The parallel line will have the same slope.
y = (9/4)x + b
We can find a value of b that would shift this line to include (4,7) by using this point in the equation:
y = (9/4)x + b
7 = (9/4)(4) + b
7 = 9 + b
b = 2
The equation of a line parallel to the reference line is y = (9/4)x + 2
Answer:
9409
Step-by-step explanation:
Let's rewrite 97 as 100 - 3.
Identity used :
<u><em>(a - b)² = a² - 2ab + b²</em></u>
Now, evaluating the expression :
⇒ (100 - 3)²
⇒ (100)² - 2(100)(3) + (3)²
⇒ 10000 - 600 + 9
⇒ 9400 + 9
⇒ 9409
For every x input, hours, the y output, distance is multiplied by a factor of 3. So 1-3. (3, 9) and (5,15) and then to graph those points fine the corresponding x and y values and put a point there
Answer:
s = 19.0
Step-by-step explanation:
To find s, use the Pythagorean Theorem.
a² + b² = c²
9² + b² = 21²
81 + b² = 441
b² = 360
b = √360
b = 18.97366596 ⇒ 19.0 (rounded to the nearest tenth)
So, s = 19.0.
Hope that helps.
Answer:
x = -1.7, or x = -17/10
Step-by-step explanation:
f(x) = 9.2 + 6x + 1 is a linear function and as such (and because the slope is not zero) has only one solution. Combining like terms, we get
f(x) = 10.2 + 6x = 0 (you must set this equal to zero if solving for zero(s).
Then 6x = -10.2, and x = -1.7, or x = -17/10
