A number line is shown. Which expression represents the distance between two points, X and Y, on the number line?
1 answer:
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Answer:
6
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = , then
sin45° = =
=
( cross- multiply )
h = 3 ×
= 6
the hypotenuse is 6 units
Answer:
Step-by-step explanation:
Mark the two points (-1,7) and (1,-1) on the graph. Then draw a straight line between them. To determine the equation that goes through these two points, we can use the two given points to find the slope of the line. The standard form of a straight line equation is
y = mx + b,
where m is the slope and y is the y-intercept (the value of y when x = 0).
Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x. We can use the two points to calculate this:
Rise (-1-(7) = -8 Run = (1 - (-1) = 2
The slope is therefore (-8/2) or -4.
y = -4x + b
We can find b by entering either of the two points in y = -4x + b and solve for b. I'll use (1,-1) since I have my 1's multiplication table memorized
y = -4x + b
-1 = -4(1) + b
b = 3
The straight line equation that connects the two points is
y = -4x + 3
You can graph this equation (e.g., on DESMOS) to see how it intersects the points. <u>[Attached]</u>
The coordinates of the y intercept are (0,3).
Answer:
Midpoint is (3.5, 2)
Step-by-step explanation:
the midpoint of the line segment whose endpoints are (5, 2) and (2, 2)
To find midpoint of two end points we use formula
(5, 2) , x1 = 5 and y1= 2
(2,2), x2=2 and y2= 2
Plug in all the values and find the midpoint using the formula
(3.5, 2)
So midpoint is (3.5,2)