Answer:
10.6666666667
Step-by-step explanation:
Answer:
x=4 and y=2
Step-by-step explanation: Step 1: Solve x+3y=10 for x:
x+3y=10
x+3y+−3y=10+−3y(Add -3y to both sides)
x=−3y+10
Step 2: Substitute−3y+10for x in2x+2y=12:
2x+2y=12
2(−3y+10)+2y=12
−4y+20=12(Simplify both sides of the equation)
−4y+20+−20=12+−20(Add -20 to both sides)
−4y=−8
−4y
−4
=
−8
−4
(Divide both sides by -4)
y=2
Step 3: Substitute 2 for y in x=−3y+10:
x=−3y+10
x=(−3)(2)+10
x=4(Simplify both sides of the equation)
So your answer would be x=4 and y=2
Hope this helps
Answer:
<h2>D) The graph would shift 5 units up.</h2>
Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x - n) - shift the graph n units to the right
f(x + n) - shift the graph n units to the left
------------------------------------------------------------------
We have f(x) = x² - 8
f(x) = x² - 8 <em>add 5 to both sides</em>
f(x) + 5 = x² - 3
Therefore your answer is D)
I encourage you to draw in the diagonal. The diagonal of a square will create a triangle with the sides of the square. Specifically, this is a right triangle as the angles of a square are right angles by definition.
Use the Pythagorean theorem: a^2 + b^2 = c^2. In this case, sides a and b are each 7sqrt(3), and c is the diagonal of the square.
a^2 + b^2 = c^2
(7sqrt3)^2 + (7sqrt3)^2 = c^2
294 = c^2
c = sqrt(294) = 7sqrt(6)
Answer:
B
Step-by-step explanation:
