The inverse of the given function is y = √5x + 7/2 - 3
<h3>Inverse of a function</h3>
Given the function expressed below;
5y + 4 = (x+3)² +1/2
5y = (x+3)² - 7/2
y = 1/5(x+3)² - 7/10
Replace y as x
x = 1/5(y+3)² - 7/10
Make y the subject of the formula
5x = (y+3)²- 7/2
(y+3)² = 5x + 7/2
y+3 = √5x + 7/2
y = √5x + 7/2 - 3
Hence the inverse of the given function is y = √5x + 7/2 - 3
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Answer:
Yes it satisfies the equation
Step-by-step explanation:
Let, P(x,y) = (-9,-4)
Then, x = -9
y = -4
if we use this value in the equation, we will get L.S = R.S ;(-4 = -9 + 5)
So, the point satisfies the equation
Hope you have understood this
Pls mark my answer as the brainliest
Step-by-step explanation:
Angle C must = [180 - 73 - 57 ] = [180 - 130] = 50°
And using rhw Law if Sines, we have.....
AB/sin C = AC/sin B → 24/sin(50) = AC/sin(73) → AC = 24*sin(73)/sin(50) = about 29.96 in
Answer:
$57.60
Step-by-step explanation:
The first thing you want to do is convert 24% to a decimal. To do this you just need to take the current decimal place and move it 2 places to the left. Since this percentage is a whole number the decimal is just after the 4.
(0.24)
Multiply that decimal by the number you want to find the percentage of
$240 * .24 = $57.60
Given:
m∠B = 44°
Let's find the following measures:
m∠A, m∠BCD, m∠CDE
We have:
• m∠A:
Angle A and Angle B are interior angles on same side of a transversal.
The interior angles are supplementary.
Supplementary angles sum up to 180 degrees
Therefore, we have:
m∠A + m∠B = 180
m∠A + 44 = 180
Subtract 44 from both sides:
m∠A + 44 - 44 = 180 - 44
m∠A = 136°
• m,∠,BCD:
m∠BCD = m∠A
Thus, we have:
m∠BCD = 136°
• m∠CDE:
Angle C and angle CDE form a linear pair.
Linear pair of angles are supplementary and supplementary angle sum up to 180 degrees.
Thus, we have:
m∠D = m∠B
m∠D = 44°
m∠CDE + m∠D = 180
m∠CDE + 44 = 180
Subract 44 from both sides:
m∠CDE + 44 - 44 = 180 - 44
m∠CDE = 136°
ANSWER:
• m∠A = 136°
,
•
,
• m∠BCD = 136°
,
•
,
• m∠CDE = 136°
