Answer:
The graph =
<h3>y = 58x</h3>
Step-by-step explanation:
(a)
distance covered (y) = 174 miles
time taken (x) = 3 hours
Therefore the points = (3, 174) and (0, 0) = stationary position
Find the gradient (m)
m = 174-0 / 3-0
m = 58
Therefore the equation =
<h3>y = 58x</h3>
(distance = 58 × time)
For the distance = 174 and time = 3 hours, the equation to find either distance or time = y = 58x
(b) the graph is constant, because the time and distance are also contant when the speed used is the same.
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#IndonesianPride - kexcvi
Answer:
1/15
Step-by-step explanation:
(1). <em>Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD (Least Common Denominator). </em>
So lets do step one now, the LCD is 15 so we have to make both denominators agree on one number, so 15 is the number both denominators agree on.
Solve:
2*3/5*3 - 1*5/3*5
(2). <em>Complete the multiplication.</em>
6/15 - 5/15
(3). <em>The two fractions now have like denominators so you can subtract the numerators.</em>
6 - 5 / 15 - 15 = 1/15
*Pro tip:
<em>The denominator doesn't change and stays the same. So you don't </em>
<em>subtract the 15 by 15.</em>
(4). <em>Then you'll get the answer and then if you can simplify then simplify.</em>
<em />
The Answer is 1/15, and cannot be simplified.
So the answer is 1/15
Hope this helps!
Answer:
63° (same as Z)
Step-by-step explanation:
The question indicates that ΔXYZ is similar to ΔEDF.
By definition, when we indicate that triangle XYZ is similar to the triangle EDF, the order of the letters is important and match the congruent angles.
So, ∠X = ∠E, ∠Y = ∠D and ∠Z = ∠F
It's hard to see because the angles are quite similar in opening (56°, 63° and 61°), and the drawing doesn't seems to be to scale.
But according to the naming convention: ∠Z = ∠F
Since ∠Z = 63°, ∠F = 63°