Answer:
63
Step-by-step explanation:
-7 * -9 = 63
negative times negative is always positive:)
807.2
multiply 403.6 X 2 = 807.2
Answer:
4a^2+4ab+b^2
Step-by-step explanation:
To find the square we multiply the expression with itself
(2a+b)×(2a+b) = 4a^2+4ab+b^2
Answer:
y = -4x + 5
Step-by-step explanation:
This linear function can be represented through the slope-intercept form, or y=mx+b. You already know your m value, 4, which is your slope. From there you can plug in your coordinate into the y and x values to find your y-intercept, or b.
y = mx + b
-3 = -4(2) + b
b = 5
Then you put it all together to form the equation f(x) = -4x + 5
Answer: the distance from the bottom of the ladder to the base of the building is 12 feet.
Step-by-step explanation:
The ladder makes an angle, θ with the ground thus forming a right angle triangle with the wall of the house.
The length of the ladder represents the hypotenuse of the right angle triangle.
The distance from the ground to the point where the ladder touches the wall of the building represents the opposite side
Therefore, to determine the distance from the bottom of the ladder to the base of the building, x, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
37² = 35² + x²
1369 = x² + 1225
x² = 1369 - 1225 = 144
x = √144 = 12 feet
