Find two consecutive positive even numbers the sum of whose squares is 340
Answers
x and x+2 since they are 2 apart
sum of squares is 340
x^2+(x+2)^2=340
expand and add
x^2+x^2+4x+4=340
2x^2+4x+4=340
divide both sides by 2 to make it easier
x^2+2x+2=170
minus 170 bot sides
x^2+2x-168=0
facotr
(x-12)(x+14)=0
set each to zero
x-12=0
add 12
x=12
x+14=0
minus 14
x=-14
but they has to e positive to disregard
x=12
x+2=14
numbers are 12 and 14
Related Questions
The graph of the function f(x) = (x + 2)(x − 4) is shown.Which describes all of the values for which the graph is negative and increasing? all real values of x where x < −2 all real values of x where −2 < x < 4 all real values of x where 1 < x < 4 all real values of x where x < 0
Round 10.065 correct to 1 decimal place
If the patterns continued indefinitely, what letter would be in the 40th position? A, b, c, a, b, c
How do you write 48% as a fraction, mixed number, or whole number in simplest form?
Answers
Let
x-------> amount of cubic meters of gravel that can be safely lifted by the crane
we know that
Solve for x
therefore
the answer is
the amount of cubic meters of gravel that can be lifted safely by the crane cannot exceed
The point of intersection of the lines has an x-coordinate of _____.
Answers
y = 12
hope this helps at all.
you rewrite the second equation as 2x=y and then replace the y in the first equation by 2x
4 hours and 55 minutes
3 hours and 55 minutes
4 hours
Answers
b) 78°, 62°, 85°, 57°, 68°
c) 80°, 68°, 75°, 80°, 78°
Answers
Answer:
a) 15°
b) No mode
c) 80°
Step-by-step explanation:
Mode:
The value/quantity that occurs most often is the mode of the data set.
Part a)
15° (Occurs 2 times)
Part b)
No mode (Each value occurs equally i.e. 1 time)
Part c)
80° (Occurs 2 times)
Hope this helped!
~AnonymousHelper1807
Answer:
The mode is no mode for the first and second but the third is 80
I am confused as to why there wasn't more than one of the same number for this problem
Remember that mode is the one that appears the most!
Step-by-step explanation:
A song that I learned in 4th grade by my teacher kinda helps with this lol:
Range is the maximum minus the minimum
The mode is the one that appears the most
The median is the one in the middle
Now you know about Data!
Just try and say that over and over or write it down somewhere lol
I hope this helps
plz mark B R A I N L I E S T
Answers
Final answer:
To find an equivalent fraction to 11/24, divide both the numerator and denominator by a common factor.
Explanation:
To find the fraction that is equivalent to 11/24, we need to find an equivalent fraction with a numerator and denominator that have a common factor with 11 and 24.
11 and 24 have a common factor of 1. So, if we divide both the numerator and denominator of 11/24 by 1, we get the equivalent fraction 11/24.
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Answers
Answer:
Step-by-step explanation:
The equation of a linear function can be written in the form y = mx + b, where m represents the slope and b represents the y-intercept.
To find the equation of a linear function that contains the points (-6,-8) and (12,4), we first need to find the slope.
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Let's substitute the values from the given points into the formula:
m = (4 - (-8)) / (12 - (-6))
m = (4 + 8) / (12 + 6)
m = 12 / 18
m = 2/3
Now that we have the slope, we can use one of the given points and the slope to find the y-intercept (b).
Using the point (-6, -8), we substitute the values into the equation y = mx + b and solve for b:
-8 = (2/3)(-6) + b
-8 = -12/3 + b
-8 = -4 + b
b = -8 + 4
b = -4
Therefore, the equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.
Final answer:
The equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.
Explanation:
The linear function equation that contains the points (-6,-8) and (12,4) can be determined by using the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. First, calculate the slope using the formula m = (y2 - y1) / (x2 - x1). Plugging in the values from the given points, we have m = (4 - (-8)) / (12 - (-6)) = 12/18 = 2/3. Next, choose one of the points to substitute into the equation to find the value of b. Using the point (-6,-8), we have -8 = (2/3)(-6) + b. Solving for b, we get b = -8 + 4 = -4. Therefore, the equation of the line is y = (2/3)x - 4.
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