Answer:
Step-by-step explanation:
a² - b² = (a + b)(a - b)
48² + x² = 50²
x² = 50² - 48²
= (50 +48)(50 -48)
= 98 * 2
x² = 196
x = √196

Answer:
660
Step-by-step explanation:
ok this one is a little more tricky
20*5=100 do not double this one
20*12=240 do not double this one
20*13=260 do not double this one
remember the area of a triangle is A=1/2l*w
plug in the values
A=1/2(5)(12)
A=30 you have to double this one because there is two of them
60
now you must add up all your values
100+240+260+60=660
i hope i am not wrong... but hope it helps!
Answer: x=60°
Step-by-step explanation:
The angles of an equilateral triangle are ALWAYS 60° You can tell its an equilateral triangle because of the lines through each side.
Answer:
Then the desired equation is y = -2x - 6.
Step-by-step explanation:
As we move from point (-3, 0) to point (0, -6), x increases by 3 and y decreases by 6. Thus, the slope of the line segment connecting these two points is m = rise / run = -6/3 = -2.
Now use the slope-intercept equation of a straight line to determine the y-intercept of this line:
y = mx + b becomes 0 = -2(-3) + b, so that b = -6.
Then the desired equation is y = -2x - 6.
Check: Does (0, -6) satisfy y = -2x - 6? Is -6 = -2(0) - 6 true? YES
Answer:
(0, -3) and (2, 1)
Step-by-step explanation:
There are 5 points marked on the graph: (±2, 1), (±1, -2) and (0, -3). These are solutions to the equation describing the function:
... y = x² - 3
Apparently, you are being asked to report the coordinates of any two of these points.
_____
<em>Comment on the problem</em>
The wording "solutions to the function" is a bit odd. An equation has solutions—values of the variables that make it be true. A function is a relationship between values, a definition. There is nothing to solve.
In the above we have assumed the intent is to find (x, y) pairs that match the function definition. Sometimes, we're interested in values of x that make y be zero. (x, y) = (±√3, 0) It isn't obvious what the intent of this question is.