Answer:
31
Step-by-step explanation:
Start off by combining like terms on the LHS (the terms with x in them).
So we get
Replacing this result with what we had before on the LHS, we get
⇒Solve for x (divide both sides
)
⇒Don't forget about reciprocity rules when dividing. This is the same as multiplying both sides by
⇒
⇒
***This is a proper fraction
Answer:
Jenny will receive $12.51 in change.
Step-by-step explanation:
We need to find the total cost first.
19.99 + 7.50 = 27.49
We then subtract that from the 40 dollars she gave to get the amount of change she receives.
40.00 - 27.49 = 12.51.
She will receive $12.51 in change.
hope this helped!
Answer:
(p, q) = (8, 82)
Step-by-step explanation:
When a circle is centered at the origin, the radius to point (a, b) will have slope m = b/a. The tangent is perpendicular to the radius, so the tangent at point (a, b) will have slope -a/b. In point-slope form, the equation of the tangent line will be ...
y -k = m(x -h) . . . . . point-slope equation of line with slope m through (h, k)
y -b = (-a/b)(x -a)
Rearranging this to standard form, we have ...
b(y -b) = -a(x -a)
by -b² = -ax +a²
ax +by = a² +b²
__
For (a, b) = (5, 4), the standard form equation of the tangent can be written ...
5x +4y = 5² +4² = 41
Your given equation has an x-coefficient that is twice the value shown in this equation, so we need to multiply this equation by 2:
2(5x +4y) = 2(41)
10x +8y = 82
Comparing to 10x +py = q, we see that ...
p = 8
q = 82
Hey there! :)
The formula for (a + b)^2 is a^2 + 2ab + b^2. In this case, x is a, and so b would have to be 4. We would need to add 4^2 = 16 to both sides of the equation to complete the square.
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Hope this helps!
==jding713==