Answer:-8x^2-6x+36xy^2+27y^2
Step-by-step explanation:
using the FOIL method
Hello! And thank you for your question!
First add 5/3 to both sides:
2x = 7 + 5/3
Then simplify 7 + 5/3:
2x = 26/3
Then divide both sides by 2:
x = 26/3 over 2
After that simplify 26/3/2:
x = 26 over 3 x 2
Simplify 3 x 2:
x = 26/6
Simplify:
x = 13/3 or 4 1/3
Final Answer:
x = 13/3 or 4 1/3
Graphs like these (lines) come in the form y = mx + b where m is the slope and b is the y intercept. Y intercept is where the graph intersects the y axis so the value would be 5
Answer:
44°
Step-by-step explanation:
Note that the square in located to the left of the two given intersecting lines denotes that it is a right angle, in which the measurements is 90°.
This means that:
∠α + ∠β = 90°
Let:
m∠α = x
m∠β = 46°
Plug in the corresponding numbers and variable to the given terms:
x + 46 = 90
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 46 from both sides:
x + 46 (-46) = 90 (-46)
x = 90 - 46
x = 44
x = 44° is your answer.
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Answer: The hypotenuse is 53 (approximately)
Step-by-step explanation: In this question we shall apply the Pythagoras theorem which states that;
AC^2 = AB^2 + BC^2
Where AC is the hypotenuse and AB and BC are the two other sides. Having been given that the two other sides are 36 and 39 units respectively, the hypotenuse is now,
AC^2 = 36^2 + 39^2
AC^2 = 1296 + 1521
AC^2 = 2817
Add the square root sign to both sides of the equation
AC = 53.0754
Therefore the hypotenuse is approximately 53 units.
