Answer:
<em>The distance between the points (1, 7) and (10, 1) is 10.82 units</em>
Step-by-step explanation:
<u>Distance between two points
</u>
The distance between points A(x,y) B(w,z) can be calculated with the formula:

We are given the points (1,7) and (10,1), let's use their values and compute the required distance:



The distance between the points (1, 7) and (10, 1) is 10.82 units
Answer:
<h2>
Step-by-step explanation:</h2><h2>|(5x-4)-3|<0.01</h2><h2>so -0.01<(5x-4-3)<0.01</h2><h2>add 7</h2><h2>7-0.01<5x<7+0.01</h2><h2>6.99<5x<7.01</h2><h2>divide by 5</h2><h2>1.398<x<1.402</h2>
Answer:
A (-3, 2.5)
Step-by-step explanation:
Midpoint formula is m=(x1 + x2/2), (y1 + y2/2)
So add the xs: -5 + -1 = -6
And the ys: 1 + 4 = 5
Then divide them by 2
(-3, 2.5)
Step-by-step explanation:
because VW || YZ, the 2 triangles are similar.
this is given by the rules of equal angles of intersecting lines with parallel lines. Z to V and Y to W would be such intersecting lines.
and therefore, the angle at W is the angle at Y, the angle at V is the angle at Z. and therefore both angles at A are equal.
so, for similar triangles the scaling factor between corresponding pairs of sides is the same for all sides.
e.g. the same scaling factor that converts 7.2 to 12, converts then also x to x+4.
7.2 × f = 12
f = 12/7.2 = 12/ 72/10 = 120/72 = 10/6 = 5/3
x × 5/3 = x + 4
5x = 3x + 12
2x = 12
x = 6
A to Y = x = 6
W to A = x + 4 = 6 + 4 = 10