Answer: G(x) is compressed horizontally and reflected over the y-axis
Step-by-step explanation:simple
Answer: D. Cannot be determined.
If Angle 3 were not included, the answer would be A, 360°
Step-by-step explanation: When the lines a, b, & c are parallel, the line intersecting them forms angles that are vertical, supplementary and/or corresponding and congruent.
Here, angles 4 and 5 are supplementary. No need to know their exact measurements. Together, their sum is 180°
Angles 1 and 2 are also supplementary, another 180°
But we don't know the measure of angle 3, so getting an exact sum is impossible here.
Answer:
x = 7000
y = 5600
(7000, 5600)
Step-by-step explanation:
To solve the system of equations means to find the point of intersection (graphically). You are finding what value of 'x' and what value of 'y' fits both equations.
x = y + 1400
0.08x + 0.05y = 840
We can solve using the method <u>substitution</u>, where you replace a variable in one equation with an equivalent expression.
<u>Since "x" is y + 1400, we can replace "x" in the second equation.</u>
0.08x + 0.05y = 840
0.08(y + 1400) + 0.05y = 840
Distribute over brackets by multiplying 0.08 with y, then 0.08 with 1400.
0.08y + 112 + 0.05y = 840 Collect like terms (with "y" variable)
112 + 0.13y = 840
Now isolate "y" in the simplified equation.
112 - 112 + 0.13y = 840 - 112 Subtract 112 from both sides
0.13y = 728
0.13y/0.13 = 728/0.13 Divide both sides by 0.13
y = 5600 Solved for y
We can substitute "y" with 5600 in any other equation that has "x".
x = y + 1400
x = 5600 + 1400 Add
x = 7000 Solved for x
You may express the answer as a coordinate, or an ordered pair (x, y).
The solution is (7000, 5600).
<span> 4x+7=5
subtract 7 on both sides
4x = -2
divide both sides by 4
x = -2/4
simplify
x = -1/2</span>
so for question 2 find the area of the rectangle first:
then you find the area of the triangles:
Add up all the answers:
and for question 3, part A, you just find the area of the 2 boxes and multiply:
so the surface area of the box is 90 square inches therefore the paint covered 90 square inches. For part B, just add up the length of the thick black lines:
How these helped have a good day
