Match the graph with its equation.
2 answers:
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Answer:
<u>y = -3x - 0.25</u>
Step-by-step explanation:
Write the equation of a line that has a slope of -3 and passes through the point (1.25, -4).
We'll use the point-slope form of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).
We are told the slope, m, is -3.
y = -3x + b
We need to find a value for b that will cause the line to go through point (1.25,-4), We can do that by entering this point in the equation we have this far:
y = -3x + b
-4 = -3(1.25) + b
-4 = -3.75 + b
-0.25 = b
<u>The equation is: y = -3x - 0.25</u>
<u></u>
See attached graph.
Answer:
Step-by-step explanation:
To solve this type of problems first need to review some laws of exponents:
When you are multiplying the same base, you need to add the exponents.
When you are raising a base with power to another power, you should keep the base and multiply the exponents:
Now for the expression
Write the multiplying factors:
Multiply the term
Then multiply the term
Simplify the exponents:
Add like terms:
Image is missing, so i have attached it.
Answer:
AC = 10sin 40°
Step-by-step explanation:
From the diagram attached, using terms in trigonometric ratio, AC is the opposite side, BC is the adjacent side and AB is the hypotenuse.
Thus, since we want to find AC;
We know that in trigonometric ratios; opposite/hypotenuse = sin θ
In the diagram, θ = 40° and AB = 10
Thus,
AC/10 = sin 40°
Multiply both sides by 10 to get;
AC = 10sin 40°
