14, 21
Step-by-step explanation:
Let the two consecutive multiples be 7n and 7(n+1).
Now, it is given that:
(7n)² + [7(n+1)]² = 637
Simplifying,
49n² + (7n+7)² = 637
49n² + 49n² + 2(7n)(7) + 49 = 637
(as (x+y)² = x² + y² + 2xy)
98n² + 98n + 49 = 637
98n² + 98n - 588 = 0
Dividing by 98 to further simplify,
n² + n - 6 = 0
Factorising, we get
n² + 3n - 2n - 6 = 0
n(n+3) - 2(n+3) = 0
(n+3)(n-2) = 0
Therefore we get n = -3 or n = +2.
Hence, we get the consecutive multiples as 14 and 21.
Feel free to ask if you didn't understand any part.
Hope this helps! :D
Answer:
Option D is correct
Step-by-step explanation:
-4(3x/2 - 1/2) = -15
<=>
-4*3x/2 + (-4)*(-1/2) = -15
<=>
-6x + 2 = -15
RU is a diameter, so the two equations make half a circle which is 180 degrees.
24x+5 + 10x+5 = 180
Combine like terms:
34x + 10 = 180
Subtract 10 from both sides:
34x = 170
Divide both sides by 34
X= 5
RS= UV
RS = 10x +5
Replace x with 5
RS = 10(5) + 5 = 55
Answers:
X = 5
RS = 55
Given equation is y=4.
Question says to graph the given equation y=4 then use the graph to find the missing x- or y-coordinates for the function to the nearest hundredth.
Equation y=4 has no "x" so that means line y=4 will be a horizontal line which passes through 4 on y-axis.
Since it is parallel to x-axis so that means there is no x-intercept.
y-intercept is (0,4) as the line crosses at 4 on y-axis.
Answer:
I think the first answer 2 would be the slope and the 1 would be the intercept and for the second one the answer is 5 would be the slope and the other 5 would be the intercept.
Step-by-step explanation:
