Hi, ok all you need to do is use the direct variation formula which is= y/x=y/x so you will replace your numbers by each value which get us to = 3/-6=y/1 so you cross multiply which gives us 3=-6y you divide 3 by -6 and that is the value of y, thank you for reading hope it helps ;)
The value of the expression is 3.5 × 10³.
<h3>How to calculate the expression?</h3>
It should be noted that the expression given is 5 times 10 squared end quantity times quantity 4.2 times 10 to the fourth power end quantity all divided by quantity 6 times 10 cubed.
This will be:
5 × 10² × 4.2 × 10⁴ / 6 × 10³
= 3.5 × 10³
The value of the expression is 3.5 × 10³.
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Answer:
27. Alternate exterior angles are congruent.
28. Same-side interior angles are supplementary.
Step-by-step explanation:
27. The two angles whose measures are set equal by the equation are on opposite sides of the transversal, so are "opposite." They are "outside" the space between the parallel lines, so are "exterior." These descriptors identify the angles as "opposite exterior" angles. The theorem/postulate that lets you set their measures equal is ... [the one written above].
28. The two angles whose measures are added in the equation are on the same side of the transversal, so are "same-side" angles. They are "inside" the space between the parallel lines, so are "interior." These descriptors identify the angles as "same-side interior" angles. The theorem/postulate that says their measures sum to 180° is ... [the one written above].
A logarithmic function is the inverse of an exponential function.
<h3>What is a logarithmic function?</h3>
A logarithmic function is the inverse of an exponential function.
Now we have the function;
f(x) = log(x) and the translated function f(x) = log (x-h) + k.
- When h is positive, the asymptote moves upwards by the stated amount
- When h is negative , the asymptote moves downwards by the stated amount
Similarly;
- When k is positive, the entirety of the graph moves upwards
- When k is negative , the entirety of the graph moves downwards
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Missing parts;
Use the graphing calculator to graph the parent function.
f(x) = log(x)
Add the translated function.
f(x) = log (x-h) + k
Plug in different values of h and k to answer the following questions.
What happens when h is positive?
What happens when h is negative?
What happens when k is positive?
What happens when k is negative?
Answer:
slope = - 6
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 15 = - 6(x + 7) ← is in point- slope form
with slope m = - 6